Welcome to TutorEye: Australia!

Personalized online tutoring for students based on Australian curriculum.

TutorEye Online tutoring Australia is fast & reliable.

TutorEye has presence in multiple countries around the world and we serve vast variety of students but for each country we differentiate ourselves from others by taking a localized approach. This means that online tutoring services offered in Australia, we will focus on and stick to the Australian national school curriculum. This way we not only take a student-centric approach but learning for students is effective and improves their confidence significantly. We hire expert tutors from the best colleges and universities to provide a well-rounded knowledge in primary, middle, secondary, and senior secondary subjects.

With online tutoring Australia, we cater to students in all major parts of the country including - New South Wales, Queensland, South Australia and Victoria. Our instant learning support is available to students round the clock. We hand pick our tutors and based on the students learning needs, we match the right tutor in under 3 minutes.

We also offer free learning style assessment – VARK quiz on our website to help students test their leaning styles and preferences. All results are automatically saved on our dashboard and whenever the students put in a tutoring request, our tutors prepare the teaching materialbased on the students learning style. So learning is much more effective when students work with an expert who adapts to their needs.

To help with engaged and fun learning experience, we at TutorEye Australia deliver the online tutoring services through interactive whiteboard with built in audio and video conferencing features. This way students and tutors connect 1:1 for a personalized learning experience.

Online Tutoring Subjects

Some of our most popular subjects for England students.

Checkout our Australian student testimonials

Who can take online tutoring at TutorEye Australia?

In short, TutorEye online tutoring is for everyone. Remember, that you never stop learning and we are there for you whenever you need mentoring or guidance on any subject or topic.

We tutoring plans are built to cater to students:

Primary School:

Primary schools in Australia offer programs from foundation till year six. The focus of primary education in towards developing core skills including literacy, numeracy, intellectual and social-emotional.

The foundation years are the most important part of a student’s life and hence we at TutorEye believe that personalized attention from a coach offers a safe space for children to ask all possible questions and experience an engaged learning experience.

Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Number theory Identify factors prime and composite numbers prime factorisation divisibility rules divisibility rules: word problems highest common factor choose the multiples of a given number up to 12 lowest common multiple
6 Decimals What decimal number is illustrated? model decimals and fractions understanding decimals expressed in words place values in decimal numbers relationship between decimal place values convert decimals between standard and expanded form equivalent decimals round decimals decimal number lines compare decimals using models compare decimals to a model compare decimals on number lines compare decimal numbers put decimal numbers in order compare, order and round decimals: word problems convert fractions and mixed numbers to decimals convert decimals to fractions and mixed numbers convert decimals between standard and expanded form using fractions compare decimals and fractions on number lines compare decimals and fractions put assorted decimals, fractions and mixed numbers in order
7 Add and subtract decimals Add and subtract decimal numbers add and subtract decimals: word problems choose decimals with a particular sum or difference complete addition and subtraction number sentences with decimals inequalities with decimal addition and subtraction estimate sums and differences of decimals
8 Multiply and divide decimals Estimate products of whole numbers and decimals multiply a decimal by a power of ten multiply decimals and whole numbers multiply decimals and whole numbers: word problems inequalities with decimal multiplication divide by powers of ten decimal division patterns over increasing place values
9 Fractions and mixed numbers Fractions review fractions of a whole: word problems fractions of a group: word problems unit fractions on number lines equivalent fractions patterns of equivalent fractions write fractions in lowest terms mixed numbers convert between improper fractions and mixed numbers compare unit fractions using models compare unit fractions using number lines compare unit fractions fractions of a number fractions of a number: word problems round mixed numbers
10 Add and subtract fractions Decompose fractions into unit fractions using models decompose fractions into unit fractions decompose fractions decompose fractions multiple ways add fractions with like denominators using area models add fractions with like denominators using strip models add fractions with like denominators using number lines add fractions with like denominators subtract fractions with like denominators using area models subtract fractions with like denominators using strip models subtract fractions with like denominators using number lines subtract fractions with like denominators add and subtract fractions with like denominators using number lines add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add and subtract mixed numbers with like denominators add and subtract mixed numbers with like denominators: word problems add three or more fractions add three or more fractions: word problems complete addition and subtraction number sentences with fractions inequalities with addition and subtraction of fractions estimate sums and differences of mixed numbers add up to 4 fractions with denominators of 10 and 100
11 Mixed operations Add, subtract, multiply and divide whole numbers add, subtract, multiply and divide whole numbers: word problems add, subtract, multiply and divide decimals add, subtract and multiply decimals: word problems write numerical expressions evaluate numerical expressions
12 Number sequences Use a rule to complete a number sequence arithmetic sequences with whole numbers arithmetic sequences with decimals arithmetic sequences with fractions increasing number sequences geometric number sequences number sequences: mixed review number sequences: word problems
13 Coordinate plane Objects on a coordinate plane graph points on a coordinate plane coordinate planes as maps follow directions on a coordinate plane
14 Algebra Solve equations with addition solve equations with subtraction solve equations with multiplication solve equations with division
15 Data and graphs Read a table interpret line graphs create line graphs interpret bar graphs create bar graphs interpret picture graphs create picture graphs interpret dot plots create dot plots frequency charts choose the best type of graph
16 Probability Understanding probability find the probability make predictions identify independent and dependent events combinations
17 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
18 Two-dimensional figures Is it a polygon? number of sides in polygons regular and irregular polygons angles greater than, less than or equal to a right angle angles of 90, 180, 270 and 360 degrees measure angles on a circle measure angles with a protractor draw angles with a protractor estimate angle measurements
19 Geometric measurement Perimeter of rectangles perimeter of polygons area of squares and rectangles area and perimeter of figures on grids area and perimeter: word problems use area and perimeter to determine cost volume
20 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
21 Addition Add one-digit numbers add multiples of 10 add a two-digit and a one-digit number - without carrying over add a two-digit and a one-digit number - with carrying over add two two-digit numbers - without carrying over add two two-digit numbers - with carrying over use compensation to add - up to two digits addition word problems - up to two digits addition input/output tables - up to two digits complete the addition number sentence - up to two digits balance addition equations - up to two digits add three or more numbers up to two digits each add three or more numbers up to two digits - word problems add multiples of 100 add two numbers up to three digits use compensation to add - up to three digits add two numbers up to three digits - word problems addition input/output tables - up to three digits complete the addition number sentence - up to three digits balance addition equations - up to three digits add three or more numbers up to three digits each add three or more numbers up to three digits - word problems add numbers up to three digits - fill in the missing digits add two numbers up to four digits add two numbers up to four digits - word problems addition input/output tables - up to four digits complete the addition number sentence - up to four digits balance addition equations - up to four digits add three numbers up to four digits each add three numbers up to four digits each - word problems add numbers up to four digits - fill in the missing digits addition patterns over increasing place values
22 Subtraction Subtraction facts - numbers up to 18 subtract multiples of 10 subtract a one-digit number from a two-digit number - without carrying over subtract a one-digit number from a two-digit number - with carrying over subtract two two-digit numbers - without carrying over subtract two two-digit numbers - with carrying over subtract numbers up to two digits - word problems subtraction input/output tables - up to two digits complete the subtraction number sentence - up to two digits balance subtraction equations - up to two digits subtract multiples of 100 subtract numbers up to three digits subtract numbers up to three digits - word problems subtraction input/output tables - up to three digits complete the subtraction number sentence - up to three digits balance subtraction equations - up to three digits subtract numbers up to three digits - fill in the missing digits subtract numbers up to four digits subtraction input/output tables - up to four digits subtract numbers up to four digits - fill in the missing digits subtraction patterns over increasing place values
23 Multiplication Multiplication number sentences multiplication - facts to 10 multiplication word problems - facts to 10 multiplication facts up to 10 - find the missing factor missing factors - facts to 10 - word problems squares up to 10 multiplication patterns over increasing place values multiply numbers ending in zeroes multiplication input/output tables multiplication input/output tables - write the rule multiply three numbers
24 Division Division facts to 5 division facts to 10 division word problems - facts to 10 complete the division number sentence - facts to 10 division patterns over increasing place values divide numbers ending in zeroes divisibility rules for 2, 5 and 10 division input/output tables
25 Properties Addition, subtraction, multiplication and division terms fact families understanding brackets properties of addition complete the equation using properties of addition add using properties relate addition and multiplication relate multiplication and division
26 Estimation and rounding Rounding round to the nearest five cents round to the nearest five cents - word problems round to the nearest dollar rounding puzzles solve inequalities using estimation estimate sums estimate sums: word problems estimate differences estimate differences: word problems estimate products estimate products: word problems estimate quotients estimate quotients: word problems estimate sums, differences, products and quotients: word problems
27 Fractions Identify equal parts make halves, thirds and quarters make sixths and eighths make halves, thirds, quarters, sixths and eighths understand fractions: fraction bars understand fractions: area models show fractions: fraction bars show fractions: area models fraction review write fractions using numbers and words unit fractions: modelling word problems unit fractions: word problems fractions of a whole: modelling word problems fractions of a whole: word problems fractions of a group: word problems fractions of number lines: unit fractions fractions of number lines identify fractions on number lines graph unit fractions on number lines graph fractions on number lines
28 Probability Certain, probable, unlikely and impossible combinations
Sr. Topics Sub-Topics
1 Biological sciences Common features of animals such as head, legs and wings
2 Biological sciences Use of animal body parts
3 Biological sciences Common features of plants such as leaves and roots
4 Biological sciences Use of plant parts for particular purposes such as making food and obtaining water
5 Biological sciences Different habitats in the local environment
6 Biological sciences Different living things
7 Chemical sciences Physical changes
8 Chemical sciences Shapes of objects
9 Earth and space sciences Daily and seasonal changes in weather patterns
10 Earth and space sciences Natural, managed and constructed features
11 Physical sciences Recognising senses
12 Physical sciences Sun as a source of light
13 Physical sciences Ways to produce sound
Sr. Topics Sub-Topics
1 Text features Identify book parts and features
2 Text features Choose the sentence that is spaced correctly
3 Text features Choose the two words that are the same
4 Alphabet Find letters in the alphabet
5 Alphabet Choose the letter that you hear: lowercase
6 Alphabet Choose the letter that you hear: uppercase
7 Alphabet Identify frequently confused letters
8 Alphabet Choose the lowercase letter that matches
9 Alphabet Find the lowercase letters
10 Alphabet Choose the uppercase letter that matches
11 Alphabet Find the uppercase letters
12 Alphabet Put the letters in abc order
13 Consonants and vowels Sort consonants and vowels
14 Consonants and vowels Find the vowel in the word
15 Syllables How many syllables does the word have?
16 Syllables Which word has more syllables?
17 Syllables Sort by the number of syllables
18 Blending and segmenting Blend the sounds together to make a word
19 Blending and segmenting Identify the first, second and last sound in a word
20 Blending and segmenting Put the sounds in order
21 Consonant sounds and letters Which two words start with the same sound?
22 Consonant sounds and letters Find the words that begin with a given sound
23 Consonant sounds and letters Which two words end with the same sound?
24 Consonant sounds and letters Choose the letter that matches the consonant sound
25 Consonant sounds and letters Which letter does the word start with?
26 Consonant sounds and letters Which letter does the word end with?
27 Sentences Is it a telling sentence or an asking sentence?
28 Sentences Who, what, when, where or why?
29 Sentences Identify and use end marks
30 Sentences Find the complete sentence
31 Sentences Unscramble the words to make a complete sentence
32 Parts of speech Is the noun a person, animal, place or thing?
33 Parts of speech Choose the singular or plural noun that matches the picture
34 Parts of speech Find the picture that matches the action verb
35 Parts of speech Find the action verb
36 Parts of speech Complete the sentence with an action verb to match the picture
37 Parts of speech Compare pictures using adjectives
38 Parts of speech Use number words: one to ten
39 Parts of speech Use colour words
40 Parts of speech Inside and outside, above and below, next to and beside
41 Parts of speech Choose the best location word to match the picture
42 Capitalisation Capitalise the first letter of a sentence
43 Capitalisation Capitalise the pronoun "i"
44 Word relationships Match antonyms to pictures
45 Word relationships Match synonyms
46 Word relationships Sort objects into categories
47 Word relationships Which one is not like the others?
48 Word relationships Multiple-meaning words with pictures
49 Literacy skills Which could happen in real life?
50 Literacy skills Which feeling matches the picture?
51 Literacy skills What is the picture about?
52 Literacy skills What will happen next?
53 Literacy skills What am i?
54 Rhyming Choose the picture that rhymes with the word
55 Rhyming Which word does not rhyme?
56 Rhyming Complete the rhyme
57 Rhyming Complete the poem with a word that rhymes
58 Rhyming Spell rhyming words to answer riddles
59 Consonant blends and digraphs Complete the word with the correct initial consonant blend
60 Consonant blends and digraphs Complete the word with the correct final consonant blend
61 Consonant blends and digraphs Spell the word with a consonant blend
62 Consonant blends and digraphs Complete the word with the correct digraph: ch, sh, th
63 Consonant blends and digraphs Complete the word with the correct digraph: ph, qu, wh
64 Consonant blends and digraphs Spell the digraph word: ch, sh, th
65 Consonant blends and digraphs Spell the digraph word: ph, qu, wh
66 Consonant blends and digraphs Sort by initial consonant blend or digraph
67 Consonant blends and digraphs Complete the word with a three-letter consonant blend
68 Consonant blends and digraphs Complete the sentence with a three-letter consonant blend word
69 Consonant blends and digraphs Complete the words with silent letters
70 Short vowels Complete the word with the correct short vowel
71 Short vowels Spell the short a word
72 Short vowels Spell the short e word
73 Short vowels Spell the short i word
74 Short vowels Spell the short o word
75 Short vowels Spell the short u word
76 Short and long vowels Sort short and long vowel words
77 Short and long vowels Match the short a and long a words to pictures
78 Short and long vowels Match the short e and long e words to pictures
79 Short and long vowels Choose the short i or long i word that matches the picture
80 Short and long vowels Choose the short o or long o word that matches the picture
81 Short and long vowels Choose the short u or long u word that matches the picture
82 Short and long vowels Use spelling patterns to sort long and short vowel words
83 Short and long vowels Is the syllable open or closed?
84 Short and long vowels Spell words with open and closed syllables
85 Short and long vowels Complete the sentence with the correct -ild, -ind, -old, -olt or -ost word
86 Long vowels Choose the silent e word that matches the picture
87 Long vowels Complete the silent e words
88 Long vowels Spell the silent e word
89 Long vowels Choose the picture that matches the vowel digraph word
90 Long vowels Complete the vowel digraph words
91 Long vowels Complete the word with the correct vowel team
92 Long vowels Choose the vowel digraph sentence that matches the picture
93 Long vowels Choose the words with a given long vowel
94 Long vowels Spell the long a word: silent e, ai, ay
95 Long vowels Spell the long e word: ee, ea
96 Long vowels Spell the long i word: silent e, ie, y
97 Long vowels Spell the long o word: silent e, oa, ow
98 Long vowels Spell the long u word: silent e, ue, oo, ew
99 Diphthongs: oi, oy, ou, ow Choose the diphthong word that matches the picture
100 Diphthongs: oi, oy, ou, ow Complete the word with the correct diphthong: oi, oy, ou, ow
101 Diphthongs: oi, oy, ou, ow Choose the diphthong sentence that matches the picture
102 Variant vowels Complete words with variant vowels
103 Variant vowels Which word has a different vowel sound?
104 Soft g and c Sort soft and hard g words and soft and hard c words
105 Soft g and c Pick the soft g or soft c word that matches the picture
106 Soft g and c Choose the soft g or soft c sentence that matches the picture
107 Soft g and c Spell the soft g or soft c word
108 Sight words Choose the sight word that you hear
109 Sight words Complete the sentence with the correct sight word
110 Sight words Spell the sight word
111 Capitalisation and formatting Capitalising the names of people and pets
112 Capitalisation and formatting Capitalising days, months and holidays
113 Capitalisation and formatting Capitalising the names of places and geographic features
114 Capitalisation and formatting Greetings and closings of letters
115 Capitalisation and formatting Capitalising titles
116 Word meanings Use context to identify the meaning of a word
117 Word meanings Choose the synonym
118 Word meanings Which sentence has the same meaning?
119 Word meanings Find synonyms in context
120 Word meanings Choose the antonym
121 Word meanings Which sentence uses an antonym?
122 Word meanings Find antonyms in context
123 Word meanings Sort words into categories
124 Word meanings Find the words with related meanings
125 Word meanings Which word is not like the others?
126 Word meanings Describe the difference between related words
127 Word meanings Order related words based on meaning
128 Word meanings Form compound words
129 Word meanings Form and use compound words
130 Word meanings Multiple-meaning words with pictures
131 Word meanings Homophones with pictures
132 Word meanings Identify homophones
133 Word meanings Use the correct homophone
134 Word meanings Identify base words, prefixes and suffixes
135 Word meanings Determine the meaning of a word with pre-, re- or mis-
136 Word meanings Use the prefixes pre-, re- and mis-
137 Word meanings Determine the meaning of a word with -ful or -less
138 Word meanings Prefixes and suffixes: review
139 Articles Use the correct article: a or an
140 Articles Use the correct article: a, an or the
141 Articles Identify articles
142 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
143 Sentence structure Identify the complete subject or complete predicate of a sentence
144 Sentence structure Identify the simple subject or predicate of a sentence
145 Sentence structure Is it a complete sentence or a fragment?
146 Sentence structure Is it a complete sentence or a run-on?
147 Sentence structure Is it a complete sentence, a fragment or a run-on?
148 Sentence structure Identify dependent and independent clauses
149 Sentence structure Is the sentence simple or compound?
150 Sentence structure Is the sentence simple, compound or complex?
151 Nouns Identify nouns – with abstract nouns
152 Nouns Identify common and proper nouns
153 Nouns Form plurals of nouns ending in f, fe, o and y
154 Nouns Form and use plurals of nouns ending in f, fe, o and y
155 Nouns Form plurals: review
156 Nouns Form and use plurals: review
157 Nouns Identify plurals, singular possessives and plural possessives
158 Nouns Form the singular or plural possessive
159 Nouns Identify and correct errors with plural and possessive nouns
160 Pronouns Identify personal pronouns
161 Pronouns Choose between subject and object personal pronouns
162 Pronouns Replace the noun with a personal pronoun
163 Pronouns Compound subjects and objects with "i" and "me"
164 Pronouns Compound subjects and objects with personal pronouns
165 Pronouns Use possessive pronouns
166 Pronouns Choose between personal and reflexive pronouns
167 Pronouns Use reflexive pronouns
168 Pronouns Identify relative pronouns
169 Pronouns Use relative pronouns: who and whom
170 Pronouns Use relative pronouns: who, whom, whose, which and that
171 Verbs Identify main verbs and helping verbs
172 Verbs What does the modal verb show?
173 Verbs Use the correct modal verb
174 Verbs Use the correct subject or verb
175 Verbs Use the correct subject or verb – with compound subjects
176 Verbs Is the sentence in the past, present or future tense?
177 Verbs Form and use the regular past tense
178 Verbs Form and use the irregular past tense
179 Verbs Form and use the simple past, present and future tense
180 Verbs Correct inappropriate shifts in verb tense
181 Verbs Use the progressive verb tenses
182 Verbs Form the progressive verb tenses
183 Verbs Choose between the past tense and past participle
184 Verbs Use the perfect verb tenses
185 Verbs Form the perfect verb tenses
186 Adjectives and adverbs Identify adjectives
187 Adjectives and adverbs Order adjectives
188 Adjectives and adverbs Identify adverbs
189 Adjectives and adverbs Use relative adverbs
190 Adjectives and adverbs Choose between adjectives and adverbs
191 Adjectives and adverbs Is the word an adjective or adverb?
192 Adjectives and adverbs Use adjectives to compare
193 Adjectives and adverbs Spell adjectives that compare
194 Adjectives and adverbs Use adjectives with more and most
195 Adjectives and adverbs Use adverbs to compare
196 Prepositions Identify prepositions
197 Prepositions Identify prepositions and their objects
198 Prepositions Identify prepositional phrases
199 Prepositions Prepositions: review
200 Conjunctions Use coordinating conjunctions
201 Conjunctions Identify coordinating conjunctions
202 Conjunctions Identify subordinating conjunctions
203 Conjunctions Use the correct pair of correlative conjunctions
204 Conjunctions Fill in the missing correlative conjunction
205 Contractions Pronoun-verb contractions
206 Contractions Contractions with "not"
207 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words and interjections
208 Punctuation, capitalisation and formatting Commas with compound and complex sentences
209 Punctuation, capitalisation and formatting Correct capitalisation errors
210 Punctuation, capitalisation and formatting Capitalising titles
211 Punctuation, capitalisation and formatting Formatting titles
212 Punctuation, capitalisation and formatting Formatting and capitalising titles
213 Prefixes and suffixes Words with pre-
214 Prefixes and suffixes Words with re-
215 Prefixes and suffixes Words with sub-
216 Prefixes and suffixes Words with mis-
217 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
218 Prefixes and suffixes Words with -ful
219 Prefixes and suffixes Words with -less
220 Prefixes and suffixes Words with -able and -ible
221 Greek and latin roots Use greek and latin roots as clues to the meanings of words
222 Greek and latin roots Use the meanings of words as clues to the meanings of greek and latin roots
223 Greek and latin roots Use words as clues to the meanings of greek and latin roots
224 Greek and latin roots Determine the meanings of greek and latin roots
225 Greek and latin roots Determine the meanings of words with greek and latin roots
226 Reference skills Order alphabetically based on the first two letters
227 Reference skills Order alphabetically based on the first three letters
228 Reference skills Order alphabetically: challenge
229 Reference skills Use guide words
230 Reference skills Use dictionary entries
231 Reference skills Use dictionary definitions
232 Reference skills Use thesaurus entries
233 Word relationships and usage Choose the synonym
234 Word relationships and usage Find synonyms in context
235 Word relationships and usage Choose the antonym
236 Word relationships and usage Find antonyms in context
237 Word relationships and usage Describe the difference between related words
238 Word relationships and usage Positive and negative connotation
239 Word relationships and usage Use the correct homophone
240 Word relationships and usage Which definition matches the sentence?
241 Word relationships and usage Which sentence matches the definition?
242 Word relationships and usage Use the correct frequently confused word
243 Word relationships and usage Correct errors with frequently confused words
244 Word relationships and usage Analogies
245 Author's purpose and tone Which sentence is more formal?
246 Figurative language Identify similes and metaphors
247 Figurative language Determine the meanings of similes and metaphors
Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Number theory Identify factors prime and composite numbers prime factorisation divisibility rules divisibility rules: word problems highest common factor choose the multiples of a given number up to 12 lowest common multiple
6 Decimals What decimal number is illustrated? model decimals and fractions understanding decimals expressed in words place values in decimal numbers relationship between decimal place values convert decimals between standard and expanded form equivalent decimals round decimals decimal number lines compare decimals using models compare decimals to a model compare decimals on number lines compare decimal numbers put decimal numbers in order compare, order and round decimals: word problems convert fractions and mixed numbers to decimals convert decimals to fractions and mixed numbers convert decimals between standard and expanded form using fractions compare decimals and fractions on number lines compare decimals and fractions put assorted decimals, fractions and mixed numbers in order
7 Add and subtract decimals Add and subtract decimal numbers add and subtract decimals: word problems choose decimals with a particular sum or difference complete addition and subtraction number sentences with decimals inequalities with decimal addition and subtraction estimate sums and differences of decimals
8 Multiply and divide decimals Estimate products of whole numbers and decimals multiply a decimal by a power of ten multiply decimals and whole numbers multiply decimals and whole numbers: word problems inequalities with decimal multiplication divide by powers of ten decimal division patterns over increasing place values
9 Fractions and mixed numbers Fractions review fractions of a whole: word problems fractions of a group: word problems unit fractions on number lines equivalent fractions patterns of equivalent fractions write fractions in lowest terms mixed numbers convert between improper fractions and mixed numbers compare unit fractions using models compare unit fractions using number lines compare unit fractions fractions of a number fractions of a number: word problems round mixed numbers
10 Add and subtract fractions Decompose fractions into unit fractions using models decompose fractions into unit fractions decompose fractions decompose fractions multiple ways add fractions with like denominators using area models add fractions with like denominators using strip models add fractions with like denominators using number lines add fractions with like denominators subtract fractions with like denominators using area models subtract fractions with like denominators using strip models subtract fractions with like denominators using number lines subtract fractions with like denominators add and subtract fractions with like denominators using number lines add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add and subtract mixed numbers with like denominators add and subtract mixed numbers with like denominators: word problems add three or more fractions add three or more fractions: word problems complete addition and subtraction number sentences with fractions inequalities with addition and subtraction of fractions estimate sums and differences of mixed numbers add up to 4 fractions with denominators of 10 and 100
11 Mixed operations Add, subtract, multiply and divide whole numbers add, subtract, multiply and divide whole numbers: word problems add, subtract, multiply and divide decimals add, subtract and multiply decimals: word problems write numerical expressions evaluate numerical expressions
12 Number sequences Use a rule to complete a number sequence arithmetic sequences with whole numbers arithmetic sequences with decimals arithmetic sequences with fractions increasing number sequences geometric number sequences number sequences: mixed review number sequences: word problems
13 Coordinate plane Objects on a coordinate plane graph points on a coordinate plane coordinate planes as maps follow directions on a coordinate plane
14 Algebra Solve equations with addition solve equations with subtraction solve equations with multiplication solve equations with division
15 Data and graphs Read a table interpret line graphs create line graphs interpret bar graphs create bar graphs interpret picture graphs create picture graphs interpret dot plots create dot plots frequency charts choose the best type of graph
16 Probability Understanding probability find the probability make predictions identify independent and dependent events combinations
17 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
18 Two-dimensional figures Is it a polygon? number of sides in polygons regular and irregular polygons angles greater than, less than or equal to a right angle angles of 90, 180, 270 and 360 degrees measure angles on a circle measure angles with a protractor draw angles with a protractor estimate angle measurements
19 Geometric measurement Perimeter of rectangles perimeter of polygons area of squares and rectangles area and perimeter of figures on grids area and perimeter: word problems use area and perimeter to determine cost volume
20 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
21 Addition Add one-digit numbers add multiples of 10 add a two-digit and a one-digit number - without carrying over add a two-digit and a one-digit number - with carrying over add two two-digit numbers - without carrying over add two two-digit numbers - with carrying over use compensation to add - up to two digits addition word problems - up to two digits addition input/output tables - up to two digits complete the addition number sentence - up to two digits balance addition equations - up to two digits add three or more numbers up to two digits each add three or more numbers up to two digits - word problems add multiples of 100 add two numbers up to three digits use compensation to add - up to three digits add two numbers up to three digits - word problems addition input/output tables - up to three digits complete the addition number sentence - up to three digits balance addition equations - up to three digits add three or more numbers up to three digits each add three or more numbers up to three digits - word problems add numbers up to three digits - fill in the missing digits add two numbers up to four digits add two numbers up to four digits - word problems addition input/output tables - up to four digits complete the addition number sentence - up to four digits balance addition equations - up to four digits add three numbers up to four digits each add three numbers up to four digits each - word problems add numbers up to four digits - fill in the missing digits addition patterns over increasing place values
22 Subtraction Subtraction facts - numbers up to 18 subtract multiples of 10 subtract a one-digit number from a two-digit number - without carrying over subtract a one-digit number from a two-digit number - with carrying over subtract two two-digit numbers - without carrying over subtract two two-digit numbers - with carrying over subtract numbers up to two digits - word problems subtraction input/output tables - up to two digits complete the subtraction number sentence - up to two digits balance subtraction equations - up to two digits subtract multiples of 100 subtract numbers up to three digits subtract numbers up to three digits - word problems subtraction input/output tables - up to three digits complete the subtraction number sentence - up to three digits balance subtraction equations - up to three digits subtract numbers up to three digits - fill in the missing digits subtract numbers up to four digits subtraction input/output tables - up to four digits subtract numbers up to four digits - fill in the missing digits subtraction patterns over increasing place values
23 Multiplication Multiplication number sentences multiplication - facts to 10 multiplication word problems - facts to 10 multiplication facts up to 10 - find the missing factor missing factors - facts to 10 - word problems squares up to 10 multiplication patterns over increasing place values multiply numbers ending in zeroes multiplication input/output tables multiplication input/output tables - write the rule multiply three numbers
24 Division Division facts to 5 division facts to 10 division word problems - facts to 10 complete the division number sentence - facts to 10 division patterns over increasing place values divide numbers ending in zeroes divisibility rules for 2, 5 and 10 division input/output tables
25 Properties Addition, subtraction, multiplication and division terms fact families understanding brackets properties of addition complete the equation using properties of addition add using properties relate addition and multiplication relate multiplication and division
26 Estimation and rounding Rounding round to the nearest five cents round to the nearest five cents - word problems round to the nearest dollar rounding puzzles solve inequalities using estimation estimate sums estimate sums: word problems estimate differences estimate differences: word problems estimate products estimate products: word problems estimate quotients estimate quotients: word problems estimate sums, differences, products and quotients: word problems
27 Fractions Identify equal parts make halves, thirds and quarters make sixths and eighths make halves, thirds, quarters, sixths and eighths understand fractions: fraction bars understand fractions: area models show fractions: fraction bars show fractions: area models fraction review write fractions using numbers and words unit fractions: modelling word problems unit fractions: word problems fractions of a whole: modelling word problems fractions of a whole: word problems fractions of a group: word problems fractions of number lines: unit fractions fractions of number lines identify fractions on number lines graph unit fractions on number lines graph fractions on number lines
28 Probability Certain, probable, unlikely and impossible combinations
Sr. Topics Sub-Topics
1 Biological sciences Living things grow
2 Biological sciences Personal growth and changes from birth
3 Biological sciences Characteristics at different stages of development
4 Chemical sciences Variety of materials
5 Chemical sciences Effects of mixing materials together
6 Chemical sciences Remade or recycled into new products
7 Earth and space sciences Earth’s resources
8 Physical sciences A push or a pull
9 Physical sciences Ways that objects move
10 Physical sciences Use the forces of push or pull
Sr. Topics Sub-Topics
1 Text features Identify book parts and features
2 Text features Choose the sentence that is spaced correctly
3 Text features Choose the two words that are the same
4 Alphabet Find letters in the alphabet
5 Alphabet Choose the letter that you hear: lowercase
6 Alphabet Choose the letter that you hear: uppercase
7 Alphabet Identify frequently confused letters
8 Alphabet Choose the lowercase letter that matches
9 Alphabet Find the lowercase letters
10 Alphabet Choose the uppercase letter that matches
11 Alphabet Find the uppercase letters
12 Alphabet Put the letters in abc order
13 Consonants and vowels Sort consonants and vowels
14 Consonants and vowels Find the vowel in the word
15 Syllables How many syllables does the word have?
16 Syllables Which word has more syllables?
17 Syllables Sort by the number of syllables
18 Blending and segmenting Blend the sounds together to make a word
19 Blending and segmenting Identify the first, second and last sound in a word
20 Blending and segmenting Put the sounds in order
21 Consonant sounds and letters Which two words start with the same sound?
22 Consonant sounds and letters Find the words that begin with a given sound
23 Consonant sounds and letters Which two words end with the same sound?
24 Consonant sounds and letters Choose the letter that matches the consonant sound
25 Consonant sounds and letters Which letter does the word start with?
26 Consonant sounds and letters Which letter does the word end with?
27 Sentences Is it a telling sentence or an asking sentence?
28 Sentences Who, what, when, where or why?
29 Sentences Identify and use end marks
30 Sentences Find the complete sentence
31 Sentences Unscramble the words to make a complete sentence
32 Parts of speech Is the noun a person, animal, place or thing?
33 Parts of speech Choose the singular or plural noun that matches the picture
34 Parts of speech Find the picture that matches the action verb
35 Parts of speech Find the action verb
36 Parts of speech Complete the sentence with an action verb to match the picture
37 Parts of speech Compare pictures using adjectives
38 Parts of speech Use number words: one to ten
39 Parts of speech Use colour words
40 Parts of speech Inside and outside, above and below, next to and beside
41 Parts of speech Choose the best location word to match the picture
42 Capitalisation Capitalise the first letter of a sentence
43 Capitalisation Capitalise the pronoun "i"
44 Word relationships Match antonyms to pictures
45 Word relationships Match synonyms
46 Word relationships Sort objects into categories
47 Word relationships Which one is not like the others?
48 Word relationships Multiple-meaning words with pictures
49 Literacy skills Which could happen in real life?
50 Literacy skills Which feeling matches the picture?
51 Literacy skills What is the picture about?
52 Literacy skills What will happen next?
53 Literacy skills What am i?
54 Rhyming Choose the picture that rhymes with the word
55 Rhyming Which word does not rhyme?
56 Rhyming Complete the rhyme
57 Rhyming Complete the poem with a word that rhymes
58 Rhyming Spell rhyming words to answer riddles
59 Consonant blends and digraphs Complete the word with the correct initial consonant blend
60 Consonant blends and digraphs Complete the word with the correct final consonant blend
61 Consonant blends and digraphs Spell the word with a consonant blend
62 Consonant blends and digraphs Complete the word with the correct digraph: ch, sh, th
63 Consonant blends and digraphs Complete the word with the correct digraph: ph, qu, wh
64 Consonant blends and digraphs Spell the digraph word: ch, sh, th
65 Consonant blends and digraphs Spell the digraph word: ph, qu, wh
66 Consonant blends and digraphs Sort by initial consonant blend or digraph
67 Consonant blends and digraphs Complete the word with a three-letter consonant blend
68 Consonant blends and digraphs Complete the sentence with a three-letter consonant blend word
69 Consonant blends and digraphs Complete the words with silent letters
70 Short vowels Complete the word with the correct short vowel
71 Short vowels Spell the short a word
72 Short vowels Spell the short e word
73 Short vowels Spell the short i word
74 Short vowels Spell the short o word
75 Short vowels Spell the short u word
76 Short and long vowels Sort short and long vowel words
77 Short and long vowels Match the short a and long a words to pictures
78 Short and long vowels Match the short e and long e words to pictures
79 Short and long vowels Choose the short i or long i word that matches the picture
80 Short and long vowels Choose the short o or long o word that matches the picture
81 Short and long vowels Choose the short u or long u word that matches the picture
82 Short and long vowels Use spelling patterns to sort long and short vowel words
83 Short and long vowels Is the syllable open or closed?
84 Short and long vowels Spell words with open and closed syllables
85 Short and long vowels Complete the sentence with the correct -ild, -ind, -old, -olt or -ost word
86 Long vowels Choose the silent e word that matches the picture
87 Long vowels Complete the silent e words
88 Long vowels Spell the silent e word
89 Long vowels Choose the picture that matches the vowel digraph word
90 Long vowels Complete the vowel digraph words
91 Long vowels Complete the word with the correct vowel team
92 Long vowels Choose the vowel digraph sentence that matches the picture
93 Long vowels Choose the words with a given long vowel
94 Long vowels Spell the long a word: silent e, ai, ay
95 Long vowels Spell the long e word: ee, ea
96 Long vowels Spell the long i word: silent e, ie, y
97 Long vowels Spell the long o word: silent e, oa, ow
98 Long vowels Spell the long u word: silent e, ue, oo, ew
99 Diphthongs: oi, oy, ou, ow Choose the diphthong word that matches the picture
100 Diphthongs: oi, oy, ou, ow Complete the word with the correct diphthong: oi, oy, ou, ow
101 Diphthongs: oi, oy, ou, ow Choose the diphthong sentence that matches the picture
102 Variant vowels Complete words with variant vowels
103 Variant vowels Which word has a different vowel sound?
104 Soft g and c Sort soft and hard g words and soft and hard c words
105 Soft g and c Pick the soft g or soft c word that matches the picture
106 Soft g and c Choose the soft g or soft c sentence that matches the picture
107 Soft g and c Spell the soft g or soft c word
108 Sight words Choose the sight word that you hear
109 Sight words Complete the sentence with the correct sight word
110 Sight words Spell the sight word
111 Capitalisation and formatting Capitalising the names of people and pets
112 Capitalisation and formatting Capitalising days, months and holidays
113 Capitalisation and formatting Capitalising the names of places and geographic features
114 Capitalisation and formatting Greetings and closings of letters
115 Capitalisation and formatting Capitalising titles
116 Word meanings Use context to identify the meaning of a word
117 Word meanings Choose the synonym
118 Word meanings Which sentence has the same meaning?
119 Word meanings Find synonyms in context
120 Word meanings Choose the antonym
121 Word meanings Which sentence uses an antonym?
122 Word meanings Find antonyms in context
123 Word meanings Sort words into categories
124 Word meanings Find the words with related meanings
125 Word meanings Which word is not like the others?
126 Word meanings Describe the difference between related words
127 Word meanings Order related words based on meaning
128 Word meanings Form compound words
129 Word meanings Form and use compound words
130 Word meanings Multiple-meaning words with pictures
131 Word meanings Homophones with pictures
132 Word meanings Identify homophones
133 Word meanings Use the correct homophone
134 Word meanings Identify base words, prefixes and suffixes
135 Word meanings Determine the meaning of a word with pre-, re- or mis-
136 Word meanings Use the prefixes pre-, re- and mis-
137 Word meanings Determine the meaning of a word with -ful or -less
138 Word meanings Prefixes and suffixes: review
139 Articles Use the correct article: a or an
140 Articles Use the correct article: a, an or the
141 Articles Identify articles
142 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
143 Sentence structure Identify the complete subject or complete predicate of a sentence
144 Sentence structure Identify the simple subject or predicate of a sentence
145 Sentence structure Is it a complete sentence or a fragment?
146 Sentence structure Is it a complete sentence or a run-on?
147 Sentence structure Is it a complete sentence, a fragment or a run-on?
148 Sentence structure Identify dependent and independent clauses
149 Sentence structure Is the sentence simple or compound?
150 Sentence structure Is the sentence simple, compound or complex?
151 Nouns Identify nouns – with abstract nouns
152 Nouns Identify common and proper nouns
153 Nouns Form plurals of nouns ending in f, fe, o and y
154 Nouns Form and use plurals of nouns ending in f, fe, o and y
155 Nouns Form plurals: review
156 Nouns Form and use plurals: review
157 Nouns Identify plurals, singular possessives and plural possessives
158 Nouns Form the singular or plural possessive
159 Nouns Identify and correct errors with plural and possessive nouns
160 Pronouns Identify personal pronouns
161 Pronouns Choose between subject and object personal pronouns
162 Pronouns Replace the noun with a personal pronoun
163 Pronouns Compound subjects and objects with "i" and "me"
164 Pronouns Compound subjects and objects with personal pronouns
165 Pronouns Use possessive pronouns
166 Pronouns Choose between personal and reflexive pronouns
167 Pronouns Use reflexive pronouns
168 Pronouns Identify relative pronouns
169 Pronouns Use relative pronouns: who and whom
170 Pronouns Use relative pronouns: who, whom, whose, which and that
171 Verbs Identify main verbs and helping verbs
172 Verbs What does the modal verb show?
173 Verbs Use the correct modal verb
174 Verbs Use the correct subject or verb
175 Verbs Use the correct subject or verb – with compound subjects
176 Verbs Is the sentence in the past, present or future tense?
177 Verbs Form and use the regular past tense
178 Verbs Form and use the irregular past tense
179 Verbs Form and use the simple past, present and future tense
180 Verbs Correct inappropriate shifts in verb tense
181 Verbs Use the progressive verb tenses
182 Verbs Form the progressive verb tenses
183 Verbs Choose between the past tense and past participle
184 Verbs Use the perfect verb tenses
185 Verbs Form the perfect verb tenses
186 Adjectives and adverbs Identify adjectives
187 Adjectives and adverbs Order adjectives
188 Adjectives and adverbs Identify adverbs
189 Adjectives and adverbs Use relative adverbs
190 Adjectives and adverbs Choose between adjectives and adverbs
191 Adjectives and adverbs Is the word an adjective or adverb?
192 Adjectives and adverbs Use adjectives to compare
193 Adjectives and adverbs Spell adjectives that compare
194 Adjectives and adverbs Use adjectives with more and most
195 Adjectives and adverbs Use adverbs to compare
196 Prepositions Identify prepositions
197 Prepositions Identify prepositions and their objects
198 Prepositions Identify prepositional phrases
199 Prepositions Prepositions: review
200 Conjunctions Use coordinating conjunctions
201 Conjunctions Identify coordinating conjunctions
202 Conjunctions Identify subordinating conjunctions
203 Conjunctions Use the correct pair of correlative conjunctions
204 Conjunctions Fill in the missing correlative conjunction
205 Contractions Pronoun-verb contractions
206 Contractions Contractions with "not"
207 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words and interjections
208 Punctuation, capitalisation and formatting Commas with compound and complex sentences
209 Punctuation, capitalisation and formatting Correct capitalisation errors
210 Punctuation, capitalisation and formatting Capitalising titles
211 Punctuation, capitalisation and formatting Formatting titles
212 Punctuation, capitalisation and formatting Formatting and capitalising titles
213 Prefixes and suffixes Words with pre-
214 Prefixes and suffixes Words with re-
215 Prefixes and suffixes Words with sub-
216 Prefixes and suffixes Words with mis-
217 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
218 Prefixes and suffixes Words with -ful
219 Prefixes and suffixes Words with -less
220 Prefixes and suffixes Words with -able and -ible
221 Greek and latin roots Use greek and latin roots as clues to the meanings of words
222 Greek and latin roots Use the meanings of words as clues to the meanings of greek and latin roots
223 Greek and latin roots Use words as clues to the meanings of greek and latin roots
224 Greek and latin roots Determine the meanings of greek and latin roots
225 Greek and latin roots Determine the meanings of words with greek and latin roots
226 Reference skills Order alphabetically based on the first two letters
227 Reference skills Order alphabetically based on the first three letters
228 Reference skills Order alphabetically: challenge
229 Reference skills Use guide words
230 Reference skills Use dictionary entries
231 Reference skills Use dictionary definitions
232 Reference skills Use thesaurus entries
233 Word relationships and usage Choose the synonym
234 Word relationships and usage Find synonyms in context
235 Word relationships and usage Choose the antonym
236 Word relationships and usage Find antonyms in context
237 Word relationships and usage Describe the difference between related words
238 Word relationships and usage Positive and negative connotation
239 Word relationships and usage Use the correct homophone
240 Word relationships and usage Which definition matches the sentence?
241 Word relationships and usage Which sentence matches the definition?
242 Word relationships and usage Use the correct frequently confused word
243 Word relationships and usage Correct errors with frequently confused words
244 Word relationships and usage Analogies
245 Author's purpose and tone Which sentence is more formal?
246 Figurative language Identify similes and metaphors
247 Figurative language Determine the meanings of similes and metaphors
Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Number theory Identify factors prime and composite numbers prime factorisation divisibility rules divisibility rules: word problems highest common factor choose the multiples of a given number up to 12 lowest common multiple
6 Decimals What decimal number is illustrated? model decimals and fractions understanding decimals expressed in words place values in decimal numbers relationship between decimal place values convert decimals between standard and expanded form equivalent decimals round decimals decimal number lines compare decimals using models compare decimals to a model compare decimals on number lines compare decimal numbers put decimal numbers in order compare, order and round decimals: word problems convert fractions and mixed numbers to decimals convert decimals to fractions and mixed numbers convert decimals between standard and expanded form using fractions compare decimals and fractions on number lines compare decimals and fractions put assorted decimals, fractions and mixed numbers in order
7 Add and subtract decimals Add and subtract decimal numbers add and subtract decimals: word problems choose decimals with a particular sum or difference complete addition and subtraction number sentences with decimals inequalities with decimal addition and subtraction estimate sums and differences of decimals
8 Multiply and divide decimals Estimate products of whole numbers and decimals multiply a decimal by a power of ten multiply decimals and whole numbers multiply decimals and whole numbers: word problems inequalities with decimal multiplication divide by powers of ten decimal division patterns over increasing place values
9 Fractions and mixed numbers Fractions review fractions of a whole: word problems fractions of a group: word problems unit fractions on number lines equivalent fractions patterns of equivalent fractions write fractions in lowest terms mixed numbers convert between improper fractions and mixed numbers compare unit fractions using models compare unit fractions using number lines compare unit fractions fractions of a number fractions of a number: word problems round mixed numbers
10 Add and subtract fractions Decompose fractions into unit fractions using models decompose fractions into unit fractions decompose fractions decompose fractions multiple ways add fractions with like denominators using area models add fractions with like denominators using strip models add fractions with like denominators using number lines add fractions with like denominators subtract fractions with like denominators using area models subtract fractions with like denominators using strip models subtract fractions with like denominators using number lines subtract fractions with like denominators add and subtract fractions with like denominators using number lines add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add and subtract mixed numbers with like denominators add and subtract mixed numbers with like denominators: word problems add three or more fractions add three or more fractions: word problems complete addition and subtraction number sentences with fractions inequalities with addition and subtraction of fractions estimate sums and differences of mixed numbers add up to 4 fractions with denominators of 10 and 100
11 Mixed operations Add, subtract, multiply and divide whole numbers add, subtract, multiply and divide whole numbers: word problems add, subtract, multiply and divide decimals add, subtract and multiply decimals: word problems write numerical expressions evaluate numerical expressions
12 Number sequences Use a rule to complete a number sequence arithmetic sequences with whole numbers arithmetic sequences with decimals arithmetic sequences with fractions increasing number sequences geometric number sequences number sequences: mixed review number sequences: word problems
13 Coordinate plane Objects on a coordinate plane graph points on a coordinate plane coordinate planes as maps follow directions on a coordinate plane
14 Algebra Solve equations with addition solve equations with subtraction solve equations with multiplication solve equations with division
15 Data and graphs Read a table interpret line graphs create line graphs interpret bar graphs create bar graphs interpret picture graphs create picture graphs interpret dot plots create dot plots frequency charts choose the best type of graph
16 Probability Understanding probability find the probability make predictions identify independent and dependent events combinations
17 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
18 Two-dimensional figures Is it a polygon? number of sides in polygons regular and irregular polygons angles greater than, less than or equal to a right angle angles of 90, 180, 270 and 360 degrees measure angles on a circle measure angles with a protractor draw angles with a protractor estimate angle measurements
19 Geometric measurement Perimeter of rectangles perimeter of polygons area of squares and rectangles area and perimeter of figures on grids area and perimeter: word problems use area and perimeter to determine cost volume
20 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
21 Addition Add one-digit numbers add multiples of 10 add a two-digit and a one-digit number - without carrying over add a two-digit and a one-digit number - with carrying over add two two-digit numbers - without carrying over add two two-digit numbers - with carrying over use compensation to add - up to two digits addition word problems - up to two digits addition input/output tables - up to two digits complete the addition number sentence - up to two digits balance addition equations - up to two digits add three or more numbers up to two digits each add three or more numbers up to two digits - word problems add multiples of 100 add two numbers up to three digits use compensation to add - up to three digits add two numbers up to three digits - word problems addition input/output tables - up to three digits complete the addition number sentence - up to three digits balance addition equations - up to three digits add three or more numbers up to three digits each add three or more numbers up to three digits - word problems add numbers up to three digits - fill in the missing digits add two numbers up to four digits add two numbers up to four digits - word problems addition input/output tables - up to four digits complete the addition number sentence - up to four digits balance addition equations - up to four digits add three numbers up to four digits each add three numbers up to four digits each - word problems add numbers up to four digits - fill in the missing digits addition patterns over increasing place values
22 Subtraction Subtraction facts - numbers up to 18 subtract multiples of 10 subtract a one-digit number from a two-digit number - without carrying over subtract a one-digit number from a two-digit number - with carrying over subtract two two-digit numbers - without carrying over subtract two two-digit numbers - with carrying over subtract numbers up to two digits - word problems subtraction input/output tables - up to two digits complete the subtraction number sentence - up to two digits balance subtraction equations - up to two digits subtract multiples of 100 subtract numbers up to three digits subtract numbers up to three digits - word problems subtraction input/output tables - up to three digits complete the subtraction number sentence - up to three digits balance subtraction equations - up to three digits subtract numbers up to three digits - fill in the missing digits subtract numbers up to four digits subtraction input/output tables - up to four digits subtract numbers up to four digits - fill in the missing digits subtraction patterns over increasing place values
23 Multiplication Multiplication number sentences multiplication - facts to 10 multiplication word problems - facts to 10 multiplication facts up to 10 - find the missing factor missing factors - facts to 10 - word problems squares up to 10 multiplication patterns over increasing place values multiply numbers ending in zeroes multiplication input/output tables multiplication input/output tables - write the rule multiply three numbers
24 Division Division facts to 5 division facts to 10 division word problems - facts to 10 complete the division number sentence - facts to 10 division patterns over increasing place values divide numbers ending in zeroes divisibility rules for 2, 5 and 10 division input/output tables
25 Properties Addition, subtraction, multiplication and division terms fact families understanding brackets properties of addition complete the equation using properties of addition add using properties relate addition and multiplication relate multiplication and division
26 Estimation and rounding Rounding round to the nearest five cents round to the nearest five cents - word problems round to the nearest dollar rounding puzzles solve inequalities using estimation estimate sums estimate sums: word problems estimate differences estimate differences: word problems estimate products estimate products: word problems estimate quotients estimate quotients: word problems estimate sums, differences, products and quotients: word problems
27 Fractions Identify equal parts make halves, thirds and quarters make sixths and eighths make halves, thirds, quarters, sixths and eighths understand fractions: fraction bars understand fractions: area models show fractions: fraction bars show fractions: area models fraction review write fractions using numbers and words unit fractions: modelling word problems unit fractions: word problems fractions of a whole: modelling word problems fractions of a whole: word problems fractions of a group: word problems fractions of number lines: unit fractions fractions of number lines identify fractions on number lines graph unit fractions on number lines graph fractions on number lines
28 Probability Certain, probable, unlikely and impossible combinations
Sr. Topics Sub-Topics
1 Biological sciences Features to group living things
2 Biological sciences Characteristics of living things such as growing, moving, sensitivity and reproducing
3 Biological sciences Living and non­living things
4 Chemical sciences Change of state between solid and liquid
5 Chemical sciences Effect of heat on different materials
6 Earth and space sciences Earth’s rotation
7 Earth and space sciences Constructing sundials
8 Earth and space sciences Relative sizes and movement of the sun, earth and moonn
9 Physical sciences Heat from friction or motion, electricity or chemically
10 Physical sciences Heating and cooling
11 Physical sciences Heat transferred through conduction
12 Physical sciences Thermometer
Sr. Topics Sub-Topics
1 Text features Identify book parts and features
2 Text features Choose the sentence that is spaced correctly
3 Text features Choose the two words that are the same
4 Alphabet Find letters in the alphabet
5 Alphabet Choose the letter that you hear: lowercase
6 Alphabet Choose the letter that you hear: uppercase
7 Alphabet Identify frequently confused letters
8 Alphabet Choose the lowercase letter that matches
9 Alphabet Find the lowercase letters
10 Alphabet Choose the uppercase letter that matches
11 Alphabet Find the uppercase letters
12 Alphabet Put the letters in abc order
13 Consonants and vowels Sort consonants and vowels
14 Consonants and vowels Find the vowel in the word
15 Syllables How many syllables does the word have?
16 Syllables Which word has more syllables?
17 Syllables Sort by the number of syllables
18 Blending and segmenting Blend the sounds together to make a word
19 Blending and segmenting Identify the first, second and last sound in a word
20 Blending and segmenting Put the sounds in order
21 Consonant sounds and letters Which two words start with the same sound?
22 Consonant sounds and letters Find the words that begin with a given sound
23 Consonant sounds and letters Which two words end with the same sound?
24 Consonant sounds and letters Choose the letter that matches the consonant sound
25 Consonant sounds and letters Which letter does the word start with?
26 Consonant sounds and letters Which letter does the word end with?
27 Sentences Is it a telling sentence or an asking sentence?
28 Sentences Who, what, when, where or why?
29 Sentences Identify and use end marks
30 Sentences Find the complete sentence
31 Sentences Unscramble the words to make a complete sentence
32 Parts of speech Is the noun a person, animal, place or thing?
33 Parts of speech Choose the singular or plural noun that matches the picture
34 Parts of speech Find the picture that matches the action verb
35 Parts of speech Find the action verb
36 Parts of speech Complete the sentence with an action verb to match the picture
37 Parts of speech Compare pictures using adjectives
38 Parts of speech Use number words: one to ten
39 Parts of speech Use colour words
40 Parts of speech Inside and outside, above and below, next to and beside
41 Parts of speech Choose the best location word to match the picture
42 Capitalisation Capitalise the first letter of a sentence
43 Capitalisation Capitalise the pronoun "i"
44 Word relationships Match antonyms to pictures
45 Word relationships Match synonyms
46 Word relationships Sort objects into categories
47 Word relationships Which one is not like the others?
48 Word relationships Multiple-meaning words with pictures
49 Literacy skills Which could happen in real life?
50 Literacy skills Which feeling matches the picture?
51 Literacy skills What is the picture about?
52 Literacy skills What will happen next?
53 Literacy skills What am i?
54 Rhyming Choose the picture that rhymes with the word
55 Rhyming Which word does not rhyme?
56 Rhyming Complete the rhyme
57 Rhyming Complete the poem with a word that rhymes
58 Rhyming Spell rhyming words to answer riddles
59 Consonant blends and digraphs Complete the word with the correct initial consonant blend
60 Consonant blends and digraphs Complete the word with the correct final consonant blend
61 Consonant blends and digraphs Spell the word with a consonant blend
62 Consonant blends and digraphs Complete the word with the correct digraph: ch, sh, th
63 Consonant blends and digraphs Complete the word with the correct digraph: ph, qu, wh
64 Consonant blends and digraphs Spell the digraph word: ch, sh, th
65 Consonant blends and digraphs Spell the digraph word: ph, qu, wh
66 Consonant blends and digraphs Sort by initial consonant blend or digraph
67 Consonant blends and digraphs Complete the word with a three-letter consonant blend
68 Consonant blends and digraphs Complete the sentence with a three-letter consonant blend word
69 Consonant blends and digraphs Complete the words with silent letters
70 Short vowels Complete the word with the correct short vowel
71 Short vowels Spell the short a word
72 Short vowels Spell the short e word
73 Short vowels Spell the short i word
74 Short vowels Spell the short o word
75 Short vowels Spell the short u word
76 Short and long vowels Sort short and long vowel words
77 Short and long vowels Match the short a and long a words to pictures
78 Short and long vowels Match the short e and long e words to pictures
79 Short and long vowels Choose the short i or long i word that matches the picture
80 Short and long vowels Choose the short o or long o word that matches the picture
81 Short and long vowels Choose the short u or long u word that matches the picture
82 Short and long vowels Use spelling patterns to sort long and short vowel words
83 Short and long vowels Is the syllable open or closed?
84 Short and long vowels Spell words with open and closed syllables
85 Short and long vowels Complete the sentence with the correct -ild, -ind, -old, -olt or -ost word
86 Long vowels Choose the silent e word that matches the picture
87 Long vowels Complete the silent e words
88 Long vowels Spell the silent e word
89 Long vowels Choose the picture that matches the vowel digraph word
90 Long vowels Complete the vowel digraph words
91 Long vowels Complete the word with the correct vowel team
92 Long vowels Choose the vowel digraph sentence that matches the picture
93 Long vowels Choose the words with a given long vowel
94 Long vowels Spell the long a word: silent e, ai, ay
95 Long vowels Spell the long e word: ee, ea
96 Long vowels Spell the long i word: silent e, ie, y
97 Long vowels Spell the long o word: silent e, oa, ow
98 Long vowels Spell the long u word: silent e, ue, oo, ew
99 Diphthongs: oi, oy, ou, ow Choose the diphthong word that matches the picture
100 Diphthongs: oi, oy, ou, ow Complete the word with the correct diphthong: oi, oy, ou, ow
101 Diphthongs: oi, oy, ou, ow Choose the diphthong sentence that matches the picture
102 Variant vowels Complete words with variant vowels
103 Variant vowels Which word has a different vowel sound?
104 Soft g and c Sort soft and hard g words and soft and hard c words
105 Soft g and c Pick the soft g or soft c word that matches the picture
106 Soft g and c Choose the soft g or soft c sentence that matches the picture
107 Soft g and c Spell the soft g or soft c word
108 Sight words Choose the sight word that you hear
109 Sight words Complete the sentence with the correct sight word
110 Sight words Spell the sight word
111 Capitalisation and formatting Capitalising the names of people and pets
112 Capitalisation and formatting Capitalising days, months and holidays
113 Capitalisation and formatting Capitalising the names of places and geographic features
114 Capitalisation and formatting Greetings and closings of letters
115 Capitalisation and formatting Capitalising titles
116 Word meanings Use context to identify the meaning of a word
117 Word meanings Choose the synonym
118 Word meanings Which sentence has the same meaning?
119 Word meanings Find synonyms in context
120 Word meanings Choose the antonym
121 Word meanings Which sentence uses an antonym?
122 Word meanings Find antonyms in context
123 Word meanings Sort words into categories
124 Word meanings Find the words with related meanings
125 Word meanings Which word is not like the others?
126 Word meanings Describe the difference between related words
127 Word meanings Order related words based on meaning
128 Word meanings Form compound words
129 Word meanings Form and use compound words
130 Word meanings Multiple-meaning words with pictures
131 Word meanings Homophones with pictures
132 Word meanings Identify homophones
133 Word meanings Use the correct homophone
134 Word meanings Identify base words, prefixes and suffixes
135 Word meanings Determine the meaning of a word with pre-, re- or mis-
136 Word meanings Use the prefixes pre-, re- and mis-
137 Word meanings Determine the meaning of a word with -ful or -less
138 Word meanings Prefixes and suffixes: review
139 Articles Use the correct article: a or an
140 Articles Use the correct article: a, an or the
141 Articles Identify articles
142 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
143 Sentence structure Identify the complete subject or complete predicate of a sentence
144 Sentence structure Identify the simple subject or predicate of a sentence
145 Sentence structure Is it a complete sentence or a fragment?
146 Sentence structure Is it a complete sentence or a run-on?
147 Sentence structure Is it a complete sentence, a fragment or a run-on?
148 Sentence structure Identify dependent and independent clauses
149 Sentence structure Is the sentence simple or compound?
150 Sentence structure Is the sentence simple, compound or complex?
151 Nouns Identify nouns – with abstract nouns
152 Nouns Identify common and proper nouns
153 Nouns Form plurals of nouns ending in f, fe, o and y
154 Nouns Form and use plurals of nouns ending in f, fe, o and y
155 Nouns Form plurals: review
156 Nouns Form and use plurals: review
157 Nouns Identify plurals, singular possessives and plural possessives
158 Nouns Form the singular or plural possessive
159 Nouns Identify and correct errors with plural and possessive nouns
160 Pronouns Identify personal pronouns
161 Pronouns Choose between subject and object personal pronouns
162 Pronouns Replace the noun with a personal pronoun
163 Pronouns Compound subjects and objects with "i" and "me"
164 Pronouns Compound subjects and objects with personal pronouns
165 Pronouns Use possessive pronouns
166 Pronouns Choose between personal and reflexive pronouns
167 Pronouns Use reflexive pronouns
168 Pronouns Identify relative pronouns
169 Pronouns Use relative pronouns: who and whom
170 Pronouns Use relative pronouns: who, whom, whose, which and that
171 Verbs Identify main verbs and helping verbs
172 Verbs What does the modal verb show?
173 Verbs Use the correct modal verb
174 Verbs Use the correct subject or verb
175 Verbs Use the correct subject or verb – with compound subjects
176 Verbs Is the sentence in the past, present or future tense?
177 Verbs Form and use the regular past tense
178 Verbs Form and use the irregular past tense
179 Verbs Form and use the simple past, present and future tense
180 Verbs Correct inappropriate shifts in verb tense
181 Verbs Use the progressive verb tenses
182 Verbs Form the progressive verb tenses
183 Verbs Choose between the past tense and past participle
184 Verbs Use the perfect verb tenses
185 Verbs Form the perfect verb tenses
186 Adjectives and adverbs Identify adjectives
187 Adjectives and adverbs Order adjectives
188 Adjectives and adverbs Identify adverbs
189 Adjectives and adverbs Use relative adverbs
190 Adjectives and adverbs Choose between adjectives and adverbs
191 Adjectives and adverbs Is the word an adjective or adverb?
192 Adjectives and adverbs Use adjectives to compare
193 Adjectives and adverbs Spell adjectives that compare
194 Adjectives and adverbs Use adjectives with more and most
195 Adjectives and adverbs Use adverbs to compare
196 Prepositions Identify prepositions
197 Prepositions Identify prepositions and their objects
198 Prepositions Identify prepositional phrases
199 Prepositions Prepositions: review
200 Conjunctions Use coordinating conjunctions
201 Conjunctions Identify coordinating conjunctions
202 Conjunctions Identify subordinating conjunctions
203 Conjunctions Use the correct pair of correlative conjunctions
204 Conjunctions Fill in the missing correlative conjunction
205 Contractions Pronoun-verb contractions
206 Contractions Contractions with "not"
207 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words and interjections
208 Punctuation, capitalisation and formatting Commas with compound and complex sentences
209 Punctuation, capitalisation and formatting Correct capitalisation errors
210 Punctuation, capitalisation and formatting Capitalising titles
211 Punctuation, capitalisation and formatting Formatting titles
212 Punctuation, capitalisation and formatting Formatting and capitalising titles
213 Prefixes and suffixes Words with pre-
214 Prefixes and suffixes Words with re-
215 Prefixes and suffixes Words with sub-
216 Prefixes and suffixes Words with mis-
217 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
218 Prefixes and suffixes Words with -ful
219 Prefixes and suffixes Words with -less
220 Prefixes and suffixes Words with -able and -ible
221 Greek and latin roots Use greek and latin roots as clues to the meanings of words
222 Greek and latin roots Use the meanings of words as clues to the meanings of greek and latin roots
223 Greek and latin roots Use words as clues to the meanings of greek and latin roots
224 Greek and latin roots Determine the meanings of greek and latin roots
225 Greek and latin roots Determine the meanings of words with greek and latin roots
226 Reference skills Order alphabetically based on the first two letters
227 Reference skills Order alphabetically based on the first three letters
228 Reference skills Order alphabetically: challenge
229 Reference skills Use guide words
230 Reference skills Use dictionary entries
231 Reference skills Use dictionary definitions
232 Reference skills Use thesaurus entries
233 Word relationships and usage Choose the synonym
234 Word relationships and usage Find synonyms in context
235 Word relationships and usage Choose the antonym
236 Word relationships and usage Find antonyms in context
237 Word relationships and usage Describe the difference between related words
238 Word relationships and usage Positive and negative connotation
239 Word relationships and usage Use the correct homophone
240 Word relationships and usage Which definition matches the sentence?
241 Word relationships and usage Which sentence matches the definition?
242 Word relationships and usage Use the correct frequently confused word
243 Word relationships and usage Correct errors with frequently confused words
244 Word relationships and usage Analogies
245 Author's purpose and tone Which sentence is more formal?
246 Figurative language Identify similes and metaphors
247 Figurative language Determine the meanings of similes and metaphors
Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Number theory Identify factors prime and composite numbers prime factorisation divisibility rules divisibility rules: word problems highest common factor choose the multiples of a given number up to 12 lowest common multiple
6 Decimals What decimal number is illustrated? model decimals and fractions understanding decimals expressed in words place values in decimal numbers relationship between decimal place values convert decimals between standard and expanded form equivalent decimals round decimals decimal number lines compare decimals using models compare decimals to a model compare decimals on number lines compare decimal numbers put decimal numbers in order compare, order and round decimals: word problems convert fractions and mixed numbers to decimals convert decimals to fractions and mixed numbers convert decimals between standard and expanded form using fractions compare decimals and fractions on number lines compare decimals and fractions put assorted decimals, fractions and mixed numbers in order
7 Add and subtract decimals Add and subtract decimal numbers add and subtract decimals: word problems choose decimals with a particular sum or difference complete addition and subtraction number sentences with decimals inequalities with decimal addition and subtraction estimate sums and differences of decimals
8 Multiply and divide decimals Estimate products of whole numbers and decimals multiply a decimal by a power of ten multiply decimals and whole numbers multiply decimals and whole numbers: word problems inequalities with decimal multiplication divide by powers of ten decimal division patterns over increasing place values
9 Fractions and mixed numbers Fractions review fractions of a whole: word problems fractions of a group: word problems unit fractions on number lines equivalent fractions patterns of equivalent fractions write fractions in lowest terms mixed numbers convert between improper fractions and mixed numbers compare unit fractions using models compare unit fractions using number lines compare unit fractions fractions of a number fractions of a number: word problems round mixed numbers
10 Add and subtract fractions Decompose fractions into unit fractions using models decompose fractions into unit fractions decompose fractions decompose fractions multiple ways add fractions with like denominators using area models add fractions with like denominators using strip models add fractions with like denominators using number lines add fractions with like denominators subtract fractions with like denominators using area models subtract fractions with like denominators using strip models subtract fractions with like denominators using number lines subtract fractions with like denominators add and subtract fractions with like denominators using number lines add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add and subtract mixed numbers with like denominators add and subtract mixed numbers with like denominators: word problems add three or more fractions add three or more fractions: word problems complete addition and subtraction number sentences with fractions inequalities with addition and subtraction of fractions estimate sums and differences of mixed numbers add up to 4 fractions with denominators of 10 and 100
11 Mixed operations Add, subtract, multiply and divide whole numbers add, subtract, multiply and divide whole numbers: word problems add, subtract, multiply and divide decimals add, subtract and multiply decimals: word problems write numerical expressions evaluate numerical expressions
12 Number sequences Use a rule to complete a number sequence arithmetic sequences with whole numbers arithmetic sequences with decimals arithmetic sequences with fractions increasing number sequences geometric number sequences number sequences: mixed review number sequences: word problems
13 Coordinate plane Objects on a coordinate plane graph points on a coordinate plane coordinate planes as maps follow directions on a coordinate plane
14 Algebra Solve equations with addition solve equations with subtraction solve equations with multiplication solve equations with division
15 Data and graphs Read a table interpret line graphs create line graphs interpret bar graphs create bar graphs interpret picture graphs create picture graphs interpret dot plots create dot plots frequency charts choose the best type of graph
16 Probability Understanding probability find the probability make predictions identify independent and dependent events combinations
17 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
18 Two-dimensional figures Is it a polygon? number of sides in polygons regular and irregular polygons angles greater than, less than or equal to a right angle angles of 90, 180, 270 and 360 degrees measure angles on a circle measure angles with a protractor draw angles with a protractor estimate angle measurements
19 Geometric measurement Perimeter of rectangles perimeter of polygons area of squares and rectangles area and perimeter of figures on grids area and perimeter: word problems use area and perimeter to determine cost volume
20 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
21 Addition Add one-digit numbers add multiples of 10 add a two-digit and a one-digit number - without carrying over add a two-digit and a one-digit number - with carrying over add two two-digit numbers - without carrying over add two two-digit numbers - with carrying over use compensation to add - up to two digits addition word problems - up to two digits addition input/output tables - up to two digits complete the addition number sentence - up to two digits balance addition equations - up to two digits add three or more numbers up to two digits each add three or more numbers up to two digits - word problems add multiples of 100 add two numbers up to three digits use compensation to add - up to three digits add two numbers up to three digits - word problems addition input/output tables - up to three digits complete the addition number sentence - up to three digits balance addition equations - up to three digits add three or more numbers up to three digits each add three or more numbers up to three digits - word problems add numbers up to three digits - fill in the missing digits add two numbers up to four digits add two numbers up to four digits - word problems addition input/output tables - up to four digits complete the addition number sentence - up to four digits balance addition equations - up to four digits add three numbers up to four digits each add three numbers up to four digits each - word problems add numbers up to four digits - fill in the missing digits addition patterns over increasing place values
22 Subtraction Subtraction facts - numbers up to 18 subtract multiples of 10 subtract a one-digit number from a two-digit number - without carrying over subtract a one-digit number from a two-digit number - with carrying over subtract two two-digit numbers - without carrying over subtract two two-digit numbers - with carrying over subtract numbers up to two digits - word problems subtraction input/output tables - up to two digits complete the subtraction number sentence - up to two digits balance subtraction equations - up to two digits subtract multiples of 100 subtract numbers up to three digits subtract numbers up to three digits - word problems subtraction input/output tables - up to three digits complete the subtraction number sentence - up to three digits balance subtraction equations - up to three digits subtract numbers up to three digits - fill in the missing digits subtract numbers up to four digits subtraction input/output tables - up to four digits subtract numbers up to four digits - fill in the missing digits subtraction patterns over increasing place values
23 Multiplication Multiplication number sentences multiplication - facts to 10 multiplication word problems - facts to 10 multiplication facts up to 10 - find the missing factor missing factors - facts to 10 - word problems squares up to 10 multiplication patterns over increasing place values multiply numbers ending in zeroes multiplication input/output tables multiplication input/output tables - write the rule multiply three numbers
24 Division Division facts to 5 division facts to 10 division word problems - facts to 10 complete the division number sentence - facts to 10 division patterns over increasing place values divide numbers ending in zeroes divisibility rules for 2, 5 and 10 division input/output tables
25 Properties Addition, subtraction, multiplication and division terms fact families understanding brackets properties of addition complete the equation using properties of addition add using properties relate addition and multiplication relate multiplication and division
26 Estimation and rounding Rounding round to the nearest five cents round to the nearest five cents - word problems round to the nearest dollar rounding puzzles solve inequalities using estimation estimate sums estimate sums: word problems estimate differences estimate differences: word problems estimate products estimate products: word problems estimate quotients estimate quotients: word problems estimate sums, differences, products and quotients: word problems
27 Fractions Identify equal parts make halves, thirds and quarters make sixths and eighths make halves, thirds, quarters, sixths and eighths understand fractions: fraction bars understand fractions: area models show fractions: fraction bars show fractions: area models fraction review write fractions using numbers and words unit fractions: modelling word problems unit fractions: word problems fractions of a whole: modelling word problems fractions of a whole: word problems fractions of a group: word problems fractions of number lines: unit fractions fractions of number lines identify fractions on number lines graph unit fractions on number lines graph fractions on number lines
28 Probability Certain, probable, unlikely and impossible combinations
Sr. Topics Sub-Topics
1 Biological sciences Life cycles of different living things
2 Biological sciences Develop through life cycles
3 Biological sciences Stages of life cycles
4 Biological sciences Life cycles of animals and plants
5 Biological sciences Environmental factors affect life cycles
6 Biological sciences Roles of living things in a habitat
7 Biological sciences Predator­ prey relationships
8 Biological sciences Feeding relationships
9 Chemical sciences Uses of common materials, such as metals or plastics
10 Chemical sciences Management of waste
11 Earth and space sciences Change from local landforms, rocks or fossils
12 Earth and space sciences Characteristics of soils
13 Earth and space sciences Human activities cause erosion
14 Earth and space sciences Effect of events like floods and extreme weather on the landscape, both in australia and in the asia region
15 Physical sciences Non­contact forces
16 Physical sciences Effect of friction
17 Physical sciences Effect of forces
18 Physical sciences E forces of attraction and repulsion between magnets
Sr. Topics Sub-Topics
1 Text features Identify book parts and features
2 Text features Choose the sentence that is spaced correctly
3 Text features Choose the two words that are the same
4 Alphabet Find letters in the alphabet
5 Alphabet Choose the letter that you hear: lowercase
6 Alphabet Choose the letter that you hear: uppercase
7 Alphabet Identify frequently confused letters
8 Alphabet Choose the lowercase letter that matches
9 Alphabet Find the lowercase letters
10 Alphabet Choose the uppercase letter that matches
11 Alphabet Find the uppercase letters
12 Alphabet Put the letters in abc order
13 Consonants and vowels Sort consonants and vowels
14 Consonants and vowels Find the vowel in the word
15 Syllables How many syllables does the word have?
16 Syllables Which word has more syllables?
17 Syllables Sort by the number of syllables
18 Blending and segmenting Blend the sounds together to make a word
19 Blending and segmenting Identify the first, second and last sound in a word
20 Blending and segmenting Put the sounds in order
21 Consonant sounds and letters Which two words start with the same sound?
22 Consonant sounds and letters Find the words that begin with a given sound
23 Consonant sounds and letters Which two words end with the same sound?
24 Consonant sounds and letters Choose the letter that matches the consonant sound
25 Consonant sounds and letters Which letter does the word start with?
26 Consonant sounds and letters Which letter does the word end with?
27 Sentences Is it a telling sentence or an asking sentence?
28 Sentences Who, what, when, where or why?
29 Sentences Identify and use end marks
30 Sentences Find the complete sentence
31 Sentences Unscramble the words to make a complete sentence
32 Parts of speech Is the noun a person, animal, place or thing?
33 Parts of speech Choose the singular or plural noun that matches the picture
34 Parts of speech Find the picture that matches the action verb
35 Parts of speech Find the action verb
36 Parts of speech Complete the sentence with an action verb to match the picture
37 Parts of speech Compare pictures using adjectives
38 Parts of speech Use number words: one to ten
39 Parts of speech Use colour words
40 Parts of speech Inside and outside, above and below, next to and beside
41 Parts of speech Choose the best location word to match the picture
42 Capitalisation Capitalise the first letter of a sentence
43 Capitalisation Capitalise the pronoun "i"
44 Word relationships Match antonyms to pictures
45 Word relationships Match synonyms
46 Word relationships Sort objects into categories
47 Word relationships Which one is not like the others?
48 Word relationships Multiple-meaning words with pictures
49 Literacy skills Which could happen in real life?
50 Literacy skills Which feeling matches the picture?
51 Literacy skills What is the picture about?
52 Literacy skills What will happen next?
53 Literacy skills What am i?
54 Rhyming Choose the picture that rhymes with the word
55 Rhyming Which word does not rhyme?
56 Rhyming Complete the rhyme
57 Rhyming Complete the poem with a word that rhymes
58 Rhyming Spell rhyming words to answer riddles
59 Consonant blends and digraphs Complete the word with the correct initial consonant blend
60 Consonant blends and digraphs Complete the word with the correct final consonant blend
61 Consonant blends and digraphs Spell the word with a consonant blend
62 Consonant blends and digraphs Complete the word with the correct digraph: ch, sh, th
63 Consonant blends and digraphs Complete the word with the correct digraph: ph, qu, wh
64 Consonant blends and digraphs Spell the digraph word: ch, sh, th
65 Consonant blends and digraphs Spell the digraph word: ph, qu, wh
66 Consonant blends and digraphs Sort by initial consonant blend or digraph
67 Consonant blends and digraphs Complete the word with a three-letter consonant blend
68 Consonant blends and digraphs Complete the sentence with a three-letter consonant blend word
69 Consonant blends and digraphs Complete the words with silent letters
70 Short vowels Complete the word with the correct short vowel
71 Short vowels Spell the short a word
72 Short vowels Spell the short e word
73 Short vowels Spell the short i word
74 Short vowels Spell the short o word
75 Short vowels Spell the short u word
76 Short and long vowels Sort short and long vowel words
77 Short and long vowels Match the short a and long a words to pictures
78 Short and long vowels Match the short e and long e words to pictures
79 Short and long vowels Choose the short i or long i word that matches the picture
80 Short and long vowels Choose the short o or long o word that matches the picture
81 Short and long vowels Choose the short u or long u word that matches the picture
82 Short and long vowels Use spelling patterns to sort long and short vowel words
83 Short and long vowels Is the syllable open or closed?
84 Short and long vowels Spell words with open and closed syllables
85 Short and long vowels Complete the sentence with the correct -ild, -ind, -old, -olt or -ost word
86 Long vowels Choose the silent e word that matches the picture
87 Long vowels Complete the silent e words
88 Long vowels Spell the silent e word
89 Long vowels Choose the picture that matches the vowel digraph word
90 Long vowels Complete the vowel digraph words
91 Long vowels Complete the word with the correct vowel team
92 Long vowels Choose the vowel digraph sentence that matches the picture
93 Long vowels Choose the words with a given long vowel
94 Long vowels Spell the long a word: silent e, ai, ay
95 Long vowels Spell the long e word: ee, ea
96 Long vowels Spell the long i word: silent e, ie, y
97 Long vowels Spell the long o word: silent e, oa, ow
98 Long vowels Spell the long u word: silent e, ue, oo, ew
99 Diphthongs: oi, oy, ou, ow Choose the diphthong word that matches the picture
100 Diphthongs: oi, oy, ou, ow Complete the word with the correct diphthong: oi, oy, ou, ow
101 Diphthongs: oi, oy, ou, ow Choose the diphthong sentence that matches the picture
102 Variant vowels Complete words with variant vowels
103 Variant vowels Which word has a different vowel sound?
104 Soft g and c Sort soft and hard g words and soft and hard c words
105 Soft g and c Pick the soft g or soft c word that matches the picture
106 Soft g and c Choose the soft g or soft c sentence that matches the picture
107 Soft g and c Spell the soft g or soft c word
108 Sight words Choose the sight word that you hear
109 Sight words Complete the sentence with the correct sight word
110 Sight words Spell the sight word
111 Capitalisation and formatting Capitalising the names of people and pets
112 Capitalisation and formatting Capitalising days, months and holidays
113 Capitalisation and formatting Capitalising the names of places and geographic features
114 Capitalisation and formatting Greetings and closings of letters
115 Capitalisation and formatting Capitalising titles
116 Word meanings Use context to identify the meaning of a word
117 Word meanings Choose the synonym
118 Word meanings Which sentence has the same meaning?
119 Word meanings Find synonyms in context
120 Word meanings Choose the antonym
121 Word meanings Which sentence uses an antonym?
122 Word meanings Find antonyms in context
123 Word meanings Sort words into categories
124 Word meanings Find the words with related meanings
125 Word meanings Which word is not like the others?
126 Word meanings Describe the difference between related words
127 Word meanings Order related words based on meaning
128 Word meanings Form compound words
129 Word meanings Form and use compound words
130 Word meanings Multiple-meaning words with pictures
131 Word meanings Homophones with pictures
132 Word meanings Identify homophones
133 Word meanings Use the correct homophone
134 Word meanings Identify base words, prefixes and suffixes
135 Word meanings Determine the meaning of a word with pre-, re- or mis-
136 Word meanings Use the prefixes pre-, re- and mis-
137 Word meanings Determine the meaning of a word with -ful or -less
138 Word meanings Prefixes and suffixes: review
139 Articles Use the correct article: a or an
140 Articles Use the correct article: a, an or the
141 Articles Identify articles
142 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
143 Sentence structure Identify the complete subject or complete predicate of a sentence
144 Sentence structure Identify the simple subject or predicate of a sentence
145 Sentence structure Is it a complete sentence or a fragment?
146 Sentence structure Is it a complete sentence or a run-on?
147 Sentence structure Is it a complete sentence, a fragment or a run-on?
148 Sentence structure Identify dependent and independent clauses
149 Sentence structure Is the sentence simple or compound?
150 Sentence structure Is the sentence simple, compound or complex?
151 Nouns Identify nouns – with abstract nouns
152 Nouns Identify common and proper nouns
153 Nouns Form plurals of nouns ending in f, fe, o and y
154 Nouns Form and use plurals of nouns ending in f, fe, o and y
155 Nouns Form plurals: review
156 Nouns Form and use plurals: review
157 Nouns Identify plurals, singular possessives and plural possessives
158 Nouns Form the singular or plural possessive
159 Nouns Identify and correct errors with plural and possessive nouns
160 Pronouns Identify personal pronouns
161 Pronouns Choose between subject and object personal pronouns
162 Pronouns Replace the noun with a personal pronoun
163 Pronouns Compound subjects and objects with "i" and "me"
164 Pronouns Compound subjects and objects with personal pronouns
165 Pronouns Use possessive pronouns
166 Pronouns Choose between personal and reflexive pronouns
167 Pronouns Use reflexive pronouns
168 Pronouns Identify relative pronouns
169 Pronouns Use relative pronouns: who and whom
170 Pronouns Use relative pronouns: who, whom, whose, which and that
171 Verbs Identify main verbs and helping verbs
172 Verbs What does the modal verb show?
173 Verbs Use the correct modal verb
174 Verbs Use the correct subject or verb
175 Verbs Use the correct subject or verb – with compound subjects
176 Verbs Is the sentence in the past, present or future tense?
177 Verbs Form and use the regular past tense
178 Verbs Form and use the irregular past tense
179 Verbs Form and use the simple past, present and future tense
180 Verbs Correct inappropriate shifts in verb tense
181 Verbs Use the progressive verb tenses
182 Verbs Form the progressive verb tenses
183 Verbs Choose between the past tense and past participle
184 Verbs Use the perfect verb tenses
185 Verbs Form the perfect verb tenses
186 Adjectives and adverbs Identify adjectives
187 Adjectives and adverbs Order adjectives
188 Adjectives and adverbs Identify adverbs
189 Adjectives and adverbs Use relative adverbs
190 Adjectives and adverbs Choose between adjectives and adverbs
191 Adjectives and adverbs Is the word an adjective or adverb?
192 Adjectives and adverbs Use adjectives to compare
193 Adjectives and adverbs Spell adjectives that compare
194 Adjectives and adverbs Use adjectives with more and most
195 Adjectives and adverbs Use adverbs to compare
196 Prepositions Identify prepositions
197 Prepositions Identify prepositions and their objects
198 Prepositions Identify prepositional phrases
199 Prepositions Prepositions: review
200 Conjunctions Use coordinating conjunctions
201 Conjunctions Identify coordinating conjunctions
202 Conjunctions Identify subordinating conjunctions
203 Conjunctions Use the correct pair of correlative conjunctions
204 Conjunctions Fill in the missing correlative conjunction
205 Contractions Pronoun-verb contractions
206 Contractions Contractions with "not"
207 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words and interjections
208 Punctuation, capitalisation and formatting Commas with compound and complex sentences
209 Punctuation, capitalisation and formatting Correct capitalisation errors
210 Punctuation, capitalisation and formatting Capitalising titles
211 Punctuation, capitalisation and formatting Formatting titles
212 Punctuation, capitalisation and formatting Formatting and capitalising titles
213 Prefixes and suffixes Words with pre-
214 Prefixes and suffixes Words with re-
215 Prefixes and suffixes Words with sub-
216 Prefixes and suffixes Words with mis-
217 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
218 Prefixes and suffixes Words with -ful
219 Prefixes and suffixes Words with -less
220 Prefixes and suffixes Words with -able and -ible
221 Greek and latin roots Use greek and latin roots as clues to the meanings of words
222 Greek and latin roots Use the meanings of words as clues to the meanings of greek and latin roots
223 Greek and latin roots Use words as clues to the meanings of greek and latin roots
224 Greek and latin roots Determine the meanings of greek and latin roots
225 Greek and latin roots Determine the meanings of words with greek and latin roots
226 Reference skills Order alphabetically based on the first two letters
227 Reference skills Order alphabetically based on the first three letters
228 Reference skills Order alphabetically: challenge
229 Reference skills Use guide words
230 Reference skills Use dictionary entries
231 Reference skills Use dictionary definitions
232 Reference skills Use thesaurus entries
233 Word relationships and usage Choose the synonym
234 Word relationships and usage Find synonyms in context
235 Word relationships and usage Choose the antonym
236 Word relationships and usage Find antonyms in context
237 Word relationships and usage Describe the difference between related words
238 Word relationships and usage Positive and negative connotation
239 Word relationships and usage Use the correct homophone
240 Word relationships and usage Which definition matches the sentence?
241 Word relationships and usage Which sentence matches the definition?
242 Word relationships and usage Use the correct frequently confused word
243 Word relationships and usage Correct errors with frequently confused words
244 Word relationships and usage Analogies
245 Author's purpose and tone Which sentence is more formal?
246 Figurative language Identify similes and metaphors
247 Figurative language Determine the meanings of similes and metaphors
Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Number theory Identify factors prime and composite numbers prime factorisation divisibility rules divisibility rules: word problems highest common factor choose the multiples of a given number up to 12 lowest common multiple
6 Decimals What decimal number is illustrated? model decimals and fractions understanding decimals expressed in words place values in decimal numbers relationship between decimal place values convert decimals between standard and expanded form equivalent decimals round decimals decimal number lines compare decimals using models compare decimals to a model compare decimals on number lines compare decimal numbers put decimal numbers in order compare, order and round decimals: word problems convert fractions and mixed numbers to decimals convert decimals to fractions and mixed numbers convert decimals between standard and expanded form using fractions compare decimals and fractions on number lines compare decimals and fractions put assorted decimals, fractions and mixed numbers in order
7 Add and subtract decimals Add and subtract decimal numbers add and subtract decimals: word problems choose decimals with a particular sum or difference complete addition and subtraction number sentences with decimals inequalities with decimal addition and subtraction estimate sums and differences of decimals
8 Multiply and divide decimals Estimate products of whole numbers and decimals multiply a decimal by a power of ten multiply decimals and whole numbers multiply decimals and whole numbers: word problems inequalities with decimal multiplication divide by powers of ten decimal division patterns over increasing place values
9 Fractions and mixed numbers Fractions review fractions of a whole: word problems fractions of a group: word problems unit fractions on number lines equivalent fractions patterns of equivalent fractions write fractions in lowest terms mixed numbers convert between improper fractions and mixed numbers compare unit fractions using models compare unit fractions using number lines compare unit fractions fractions of a number fractions of a number: word problems round mixed numbers
10 Add and subtract fractions Decompose fractions into unit fractions using models decompose fractions into unit fractions decompose fractions decompose fractions multiple ways add fractions with like denominators using area models add fractions with like denominators using strip models add fractions with like denominators using number lines add fractions with like denominators subtract fractions with like denominators using area models subtract fractions with like denominators using strip models subtract fractions with like denominators using number lines subtract fractions with like denominators add and subtract fractions with like denominators using number lines add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add and subtract mixed numbers with like denominators add and subtract mixed numbers with like denominators: word problems add three or more fractions add three or more fractions: word problems complete addition and subtraction number sentences with fractions inequalities with addition and subtraction of fractions estimate sums and differences of mixed numbers add up to 4 fractions with denominators of 10 and 100
11 Mixed operations Add, subtract, multiply and divide whole numbers add, subtract, multiply and divide whole numbers: word problems add, subtract, multiply and divide decimals add, subtract and multiply decimals: word problems write numerical expressions evaluate numerical expressions
12 Number sequences Use a rule to complete a number sequence arithmetic sequences with whole numbers arithmetic sequences with decimals arithmetic sequences with fractions increasing number sequences geometric number sequences number sequences: mixed review number sequences: word problems
13 Coordinate plane Objects on a coordinate plane graph points on a coordinate plane coordinate planes as maps follow directions on a coordinate plane
14 Algebra Solve equations with addition solve equations with subtraction solve equations with multiplication solve equations with division
15 Data and graphs Read a table interpret line graphs create line graphs interpret bar graphs create bar graphs interpret picture graphs create picture graphs interpret dot plots create dot plots frequency charts choose the best type of graph
16 Probability Understanding probability find the probability make predictions identify independent and dependent events combinations
17 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
18 Two-dimensional figures Is it a polygon? number of sides in polygons regular and irregular polygons angles greater than, less than or equal to a right angle angles of 90, 180, 270 and 360 degrees measure angles on a circle measure angles with a protractor draw angles with a protractor estimate angle measurements
19 Geometric measurement Perimeter of rectangles perimeter of polygons area of squares and rectangles area and perimeter of figures on grids area and perimeter: word problems use area and perimeter to determine cost volume
20 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
21 Addition Add one-digit numbers add multiples of 10 add a two-digit and a one-digit number - without carrying over add a two-digit and a one-digit number - with carrying over add two two-digit numbers - without carrying over add two two-digit numbers - with carrying over use compensation to add - up to two digits addition word problems - up to two digits addition input/output tables - up to two digits complete the addition number sentence - up to two digits balance addition equations - up to two digits add three or more numbers up to two digits each add three or more numbers up to two digits - word problems add multiples of 100 add two numbers up to three digits use compensation to add - up to three digits add two numbers up to three digits - word problems addition input/output tables - up to three digits complete the addition number sentence - up to three digits balance addition equations - up to three digits add three or more numbers up to three digits each add three or more numbers up to three digits - word problems add numbers up to three digits - fill in the missing digits add two numbers up to four digits add two numbers up to four digits - word problems addition input/output tables - up to four digits complete the addition number sentence - up to four digits balance addition equations - up to four digits add three numbers up to four digits each add three numbers up to four digits each - word problems add numbers up to four digits - fill in the missing digits addition patterns over increasing place values
22 Subtraction Subtraction facts - numbers up to 18 subtract multiples of 10 subtract a one-digit number from a two-digit number - without carrying over subtract a one-digit number from a two-digit number - with carrying over subtract two two-digit numbers - without carrying over subtract two two-digit numbers - with carrying over subtract numbers up to two digits - word problems subtraction input/output tables - up to two digits complete the subtraction number sentence - up to two digits balance subtraction equations - up to two digits subtract multiples of 100 subtract numbers up to three digits subtract numbers up to three digits - word problems subtraction input/output tables - up to three digits complete the subtraction number sentence - up to three digits balance subtraction equations - up to three digits subtract numbers up to three digits - fill in the missing digits subtract numbers up to four digits subtraction input/output tables - up to four digits subtract numbers up to four digits - fill in the missing digits subtraction patterns over increasing place values
23 Multiplication Multiplication number sentences multiplication - facts to 10 multiplication word problems - facts to 10 multiplication facts up to 10 - find the missing factor missing factors - facts to 10 - word problems squares up to 10 multiplication patterns over increasing place values multiply numbers ending in zeroes multiplication input/output tables multiplication input/output tables - write the rule multiply three numbers
24 Division Division facts to 5 division facts to 10 division word problems - facts to 10 complete the division number sentence - facts to 10 division patterns over increasing place values divide numbers ending in zeroes divisibility rules for 2, 5 and 10 division input/output tables
25 Properties Addition, subtraction, multiplication and division terms fact families understanding brackets properties of addition complete the equation using properties of addition add using properties relate addition and multiplication relate multiplication and division
26 Estimation and rounding Rounding round to the nearest five cents round to the nearest five cents - word problems round to the nearest dollar rounding puzzles solve inequalities using estimation estimate sums estimate sums: word problems estimate differences estimate differences: word problems estimate products estimate products: word problems estimate quotients estimate quotients: word problems estimate sums, differences, products and quotients: word problems
27 Fractions Identify equal parts make halves, thirds and quarters make sixths and eighths make halves, thirds, quarters, sixths and eighths understand fractions: fraction bars understand fractions: area models show fractions: fraction bars show fractions: area models fraction review write fractions using numbers and words unit fractions: modelling word problems unit fractions: word problems fractions of a whole: modelling word problems fractions of a whole: word problems fractions of a group: word problems fractions of number lines: unit fractions fractions of number lines identify fractions on number lines graph unit fractions on number lines graph fractions on number lines
28 Probability Certain, probable, unlikely and impossible combinations
Sr. Topics Sub-Topics
1 Biological sciences Adaptations
2 Biological sciences Adaptations of living things
3 Biological sciences Adaptations for particular environments
4 Chemical sciences Different states on different temperature
5 Chemical sciences Properties of gases
6 Chemical sciences Heating and cooling of solids, liquids and gases
7 Earth and space sciences Planets of the solar system
8 Earth and space sciences Relative size of and distance between earth, other planets
9 Earth and space sciences Role of the sun
10 Physical sciences Paths of light from a source to our eyes
11 Physical sciences Shadows
12 Physical sciences Colour of an object
13 Physical sciences Materials as transparent, opaque or translucent
14 Physical sciences Use of mirrors
15 Physical sciences Refraction of light
Sr. Topics Sub-Topics
1 Text features Identify book parts and features
2 Text features Choose the sentence that is spaced correctly
3 Text features Choose the two words that are the same
4 Alphabet Find letters in the alphabet
5 Alphabet Choose the letter that you hear: lowercase
6 Alphabet Choose the letter that you hear: uppercase
7 Alphabet Identify frequently confused letters
8 Alphabet Choose the lowercase letter that matches
9 Alphabet Find the lowercase letters
10 Alphabet Choose the uppercase letter that matches
11 Alphabet Find the uppercase letters
12 Alphabet Put the letters in abc order
13 Consonants and vowels Sort consonants and vowels
14 Consonants and vowels Find the vowel in the word
15 Syllables How many syllables does the word have?
16 Syllables Which word has more syllables?
17 Syllables Sort by the number of syllables
18 Blending and segmenting Blend the sounds together to make a word
19 Blending and segmenting Identify the first, second and last sound in a word
20 Blending and segmenting Put the sounds in order
21 Consonant sounds and letters Which two words start with the same sound?
22 Consonant sounds and letters Find the words that begin with a given sound
23 Consonant sounds and letters Which two words end with the same sound?
24 Consonant sounds and letters Choose the letter that matches the consonant sound
25 Consonant sounds and letters Which letter does the word start with?
26 Consonant sounds and letters Which letter does the word end with?
27 Sentences Is it a telling sentence or an asking sentence?
28 Sentences Who, what, when, where or why?
29 Sentences Identify and use end marks
30 Sentences Find the complete sentence
31 Sentences Unscramble the words to make a complete sentence
32 Parts of speech Is the noun a person, animal, place or thing?
33 Parts of speech Choose the singular or plural noun that matches the picture
34 Parts of speech Find the picture that matches the action verb
35 Parts of speech Find the action verb
36 Parts of speech Complete the sentence with an action verb to match the picture
37 Parts of speech Compare pictures using adjectives
38 Parts of speech Use number words: one to ten
39 Parts of speech Use colour words
40 Parts of speech Inside and outside, above and below, next to and beside
41 Parts of speech Choose the best location word to match the picture
42 Capitalisation Capitalise the first letter of a sentence
43 Capitalisation Capitalise the pronoun "i"
44 Word relationships Match antonyms to pictures
45 Word relationships Match synonyms
46 Word relationships Sort objects into categories
47 Word relationships Which one is not like the others?
48 Word relationships Multiple-meaning words with pictures
49 Literacy skills Which could happen in real life?
50 Literacy skills Which feeling matches the picture?
51 Literacy skills What is the picture about?
52 Literacy skills What will happen next?
53 Literacy skills What am i?
54 Rhyming Choose the picture that rhymes with the word
55 Rhyming Which word does not rhyme?
56 Rhyming Complete the rhyme
57 Rhyming Complete the poem with a word that rhymes
58 Rhyming Spell rhyming words to answer riddles
59 Consonant blends and digraphs Complete the word with the correct initial consonant blend
60 Consonant blends and digraphs Complete the word with the correct final consonant blend
61 Consonant blends and digraphs Spell the word with a consonant blend
62 Consonant blends and digraphs Complete the word with the correct digraph: ch, sh, th
63 Consonant blends and digraphs Complete the word with the correct digraph: ph, qu, wh
64 Consonant blends and digraphs Spell the digraph word: ch, sh, th
65 Consonant blends and digraphs Spell the digraph word: ph, qu, wh
66 Consonant blends and digraphs Sort by initial consonant blend or digraph
67 Consonant blends and digraphs Complete the word with a three-letter consonant blend
68 Consonant blends and digraphs Complete the sentence with a three-letter consonant blend word
69 Consonant blends and digraphs Complete the words with silent letters
70 Short vowels Complete the word with the correct short vowel
71 Short vowels Spell the short a word
72 Short vowels Spell the short e word
73 Short vowels Spell the short i word
74 Short vowels Spell the short o word
75 Short vowels Spell the short u word
76 Short and long vowels Sort short and long vowel words
77 Short and long vowels Match the short a and long a words to pictures
78 Short and long vowels Match the short e and long e words to pictures
79 Short and long vowels Choose the short i or long i word that matches the picture
80 Short and long vowels Choose the short o or long o word that matches the picture
81 Short and long vowels Choose the short u or long u word that matches the picture
82 Short and long vowels Use spelling patterns to sort long and short vowel words
83 Short and long vowels Is the syllable open or closed?
84 Short and long vowels Spell words with open and closed syllables
85 Short and long vowels Complete the sentence with the correct -ild, -ind, -old, -olt or -ost word
86 Long vowels Choose the silent e word that matches the picture
87 Long vowels Complete the silent e words
88 Long vowels Spell the silent e word
89 Long vowels Choose the picture that matches the vowel digraph word
90 Long vowels Complete the vowel digraph words
91 Long vowels Complete the word with the correct vowel team
92 Long vowels Choose the vowel digraph sentence that matches the picture
93 Long vowels Choose the words with a given long vowel
94 Long vowels Spell the long a word: silent e, ai, ay
95 Long vowels Spell the long e word: ee, ea
96 Long vowels Spell the long i word: silent e, ie, y
97 Long vowels Spell the long o word: silent e, oa, ow
98 Long vowels Spell the long u word: silent e, ue, oo, ew
99 Diphthongs: oi, oy, ou, ow Choose the diphthong word that matches the picture
100 Diphthongs: oi, oy, ou, ow Complete the word with the correct diphthong: oi, oy, ou, ow
101 Diphthongs: oi, oy, ou, ow Choose the diphthong sentence that matches the picture
102 Variant vowels Complete words with variant vowels
103 Variant vowels Which word has a different vowel sound?
104 Soft g and c Sort soft and hard g words and soft and hard c words
105 Soft g and c Pick the soft g or soft c word that matches the picture
106 Soft g and c Choose the soft g or soft c sentence that matches the picture
107 Soft g and c Spell the soft g or soft c word
108 Sight words Choose the sight word that you hear
109 Sight words Complete the sentence with the correct sight word
110 Sight words Spell the sight word
111 Capitalisation and formatting Capitalising the names of people and pets
112 Capitalisation and formatting Capitalising days, months and holidays
113 Capitalisation and formatting Capitalising the names of places and geographic features
114 Capitalisation and formatting Greetings and closings of letters
115 Capitalisation and formatting Capitalising titles
116 Word meanings Use context to identify the meaning of a word
117 Word meanings Choose the synonym
118 Word meanings Which sentence has the same meaning?
119 Word meanings Find synonyms in context
120 Word meanings Choose the antonym
121 Word meanings Which sentence uses an antonym?
122 Word meanings Find antonyms in context
123 Word meanings Sort words into categories
124 Word meanings Find the words with related meanings
125 Word meanings Which word is not like the others?
126 Word meanings Describe the difference between related words
127 Word meanings Order related words based on meaning
128 Word meanings Form compound words
129 Word meanings Form and use compound words
130 Word meanings Multiple-meaning words with pictures
131 Word meanings Homophones with pictures
132 Word meanings Identify homophones
133 Word meanings Use the correct homophone
134 Word meanings Identify base words, prefixes and suffixes
135 Word meanings Determine the meaning of a word with pre-, re- or mis-
136 Word meanings Use the prefixes pre-, re- and mis-
137 Word meanings Determine the meaning of a word with -ful or -less
138 Word meanings Prefixes and suffixes: review
139 Articles Use the correct article: a or an
140 Articles Use the correct article: a, an or the
141 Articles Identify articles
142 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
143 Sentence structure Identify the complete subject or complete predicate of a sentence
144 Sentence structure Identify the simple subject or predicate of a sentence
145 Sentence structure Is it a complete sentence or a fragment?
146 Sentence structure Is it a complete sentence or a run-on?
147 Sentence structure Is it a complete sentence, a fragment or a run-on?
148 Sentence structure Identify dependent and independent clauses
149 Sentence structure Is the sentence simple or compound?
150 Sentence structure Is the sentence simple, compound or complex?
151 Nouns Identify nouns – with abstract nouns
152 Nouns Identify common and proper nouns
153 Nouns Form plurals of nouns ending in f, fe, o and y
154 Nouns Form and use plurals of nouns ending in f, fe, o and y
155 Nouns Form plurals: review
156 Nouns Form and use plurals: review
157 Nouns Identify plurals, singular possessives and plural possessives
158 Nouns Form the singular or plural possessive
159 Nouns Identify and correct errors with plural and possessive nouns
160 Pronouns Identify personal pronouns
161 Pronouns Choose between subject and object personal pronouns
162 Pronouns Replace the noun with a personal pronoun
163 Pronouns Compound subjects and objects with "i" and "me"
164 Pronouns Compound subjects and objects with personal pronouns
165 Pronouns Use possessive pronouns
166 Pronouns Choose between personal and reflexive pronouns
167 Pronouns Use reflexive pronouns
168 Pronouns Identify relative pronouns
169 Pronouns Use relative pronouns: who and whom
170 Pronouns Use relative pronouns: who, whom, whose, which and that
171 Verbs Identify main verbs and helping verbs
172 Verbs What does the modal verb show?
173 Verbs Use the correct modal verb
174 Verbs Use the correct subject or verb
175 Verbs Use the correct subject or verb – with compound subjects
176 Verbs Is the sentence in the past, present or future tense?
177 Verbs Form and use the regular past tense
178 Verbs Form and use the irregular past tense
179 Verbs Form and use the simple past, present and future tense
180 Verbs Correct inappropriate shifts in verb tense
181 Verbs Use the progressive verb tenses
182 Verbs Form the progressive verb tenses
183 Verbs Choose between the past tense and past participle
184 Verbs Use the perfect verb tenses
185 Verbs Form the perfect verb tenses
186 Adjectives and adverbs Identify adjectives
187 Adjectives and adverbs Order adjectives
188 Adjectives and adverbs Identify adverbs
189 Adjectives and adverbs Use relative adverbs
190 Adjectives and adverbs Choose between adjectives and adverbs
191 Adjectives and adverbs Is the word an adjective or adverb?
192 Adjectives and adverbs Use adjectives to compare
193 Adjectives and adverbs Spell adjectives that compare
194 Adjectives and adverbs Use adjectives with more and most
195 Adjectives and adverbs Use adverbs to compare
196 Prepositions Identify prepositions
197 Prepositions Identify prepositions and their objects
198 Prepositions Identify prepositional phrases
199 Prepositions Prepositions: review
200 Conjunctions Use coordinating conjunctions
201 Conjunctions Identify coordinating conjunctions
202 Conjunctions Identify subordinating conjunctions
203 Conjunctions Use the correct pair of correlative conjunctions
204 Conjunctions Fill in the missing correlative conjunction
205 Contractions Pronoun-verb contractions
206 Contractions Contractions with "not"
207 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words and interjections
208 Punctuation, capitalisation and formatting Commas with compound and complex sentences
209 Punctuation, capitalisation and formatting Correct capitalisation errors
210 Punctuation, capitalisation and formatting Capitalising titles
211 Punctuation, capitalisation and formatting Formatting titles
212 Punctuation, capitalisation and formatting Formatting and capitalising titles
213 Prefixes and suffixes Words with pre-
214 Prefixes and suffixes Words with re-
215 Prefixes and suffixes Words with sub-
216 Prefixes and suffixes Words with mis-
217 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
218 Prefixes and suffixes Words with -ful
219 Prefixes and suffixes Words with -less
220 Prefixes and suffixes Words with -able and -ible
221 Greek and latin roots Use greek and latin roots as clues to the meanings of words
222 Greek and latin roots Use the meanings of words as clues to the meanings of greek and latin roots
223 Greek and latin roots Use words as clues to the meanings of greek and latin roots
224 Greek and latin roots Determine the meanings of greek and latin roots
225 Greek and latin roots Determine the meanings of words with greek and latin roots
226 Reference skills Order alphabetically based on the first two letters
227 Reference skills Order alphabetically based on the first three letters
228 Reference skills Order alphabetically: challenge
229 Reference skills Use guide words
230 Reference skills Use dictionary entries
231 Reference skills Use dictionary definitions
232 Reference skills Use thesaurus entries
233 Word relationships and usage Choose the synonym
234 Word relationships and usage Find synonyms in context
235 Word relationships and usage Choose the antonym
236 Word relationships and usage Find antonyms in context
237 Word relationships and usage Describe the difference between related words
238 Word relationships and usage Positive and negative connotation
239 Word relationships and usage Use the correct homophone
240 Word relationships and usage Which definition matches the sentence?
241 Word relationships and usage Which sentence matches the definition?
242 Word relationships and usage Use the correct frequently confused word
243 Word relationships and usage Correct errors with frequently confused words
244 Word relationships and usage Analogies
245 Author's purpose and tone Which sentence is more formal?
246 Figurative language Identify similes and metaphors
247 Figurative language Determine the meanings of similes and metaphors
Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
6 Symmetry and transformations Lines of symmetry rotational symmetry reflection, rotation and translation dilations
7 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
8 Number theory Prime or composite prime factorisation multiplicative inverses divisibility rules highest common factor lowest common multiple hcf and lcm: word problems classify numbers
9 Integers Understanding integers integers on number lines graph integers on horizontal and vertical number lines compare integers order integers
10 Operations with integers Integer addition rules add integers using counters add integers using number lines add integers integer subtraction rules subtract integers using counters subtract integers using number lines subtract integers integer addition and subtraction rules add and subtract integers using counters add and subtract integers complete addition and subtraction number sentences with integers add and subtract integers: word problems integer multiplication rules multiply integers integer division rules divide integers evaluate numerical expressions involving integers
11 Decimals Decimal numbers review compare and order decimals decimal number lines round decimals
12 Operations with decimals Add and subtract decimals add and subtract decimals: word problems estimate sums and differences of decimals multiply decimals and whole numbers multiply decimals and whole numbers: word problems multiply decimals using grids multiply decimals estimate products of decimals divide decimals by whole numbers divide decimals by whole numbers: word problems divide decimals estimate quotients of decimals multiply and divide decimals: word problems add, subtract, multiply and divide decimals: word problems multi-step inequalities with decimals maps with decimal distances evaluate numerical expressions involving decimals
13 Fractions and mixed numbers Understanding fractions: word problems graph equivalent fractions on number lines equivalent fractions write fractions in lowest terms fractions: word problems with graphs and tables lowest common denominator compare and order fractions compare fractions: word problems convert between mixed numbers and improper fractions compare mixed numbers and improper fractions round mixed numbers
14 Add and subtract fractions Add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add fractions with unlike denominators using models add fractions with unlike denominators subtract fractions with unlike denominators using models subtract fractions with unlike denominators add and subtract fractions with unlike denominators: word problems add and subtract mixed numbers add and subtract mixed numbers: word problems inequalities with addition and subtraction of fractions and mixed numbers estimate sums and differences of mixed numbers
15 Multiply and divide fractions Multiply unit fractions by whole numbers using number lines multiply unit fractions by whole numbers using models multiples of fractions multiply fractions by whole numbers using arrays multiply fractions by whole numbers using number lines multiplying fractions by whole numbers: choose the model multiply fractions and whole numbers multiply fractions and whole numbers: word problems multiply two unit fractions using models multiply two fractions using models: fill in the missing factor multiply two fractions using models multiply fractions multiply fractions: word problems multiply three or more fractions and whole numbers divide unit fractions by whole numbers using models divide whole numbers by unit fractions using models divide whole numbers and unit fractions using area models reciprocals divide whole numbers and unit fractions divide fractions by whole numbers divide whole numbers by fractions divide fractions divide fractions: word problems estimate products and quotients of fractions and mixed numbers add, subtract, multiply and divide fractions and mixed numbers: word problems evaluate numerical expressions involving fractions
16 Rational numbers Fractions on number lines convert between decimals and fractions or mixed numbers compare rational numbers put rational numbers in order add and subtract rational numbers apply addition and subtraction rules multiply and divide rational numbers apply multiplication and division rules
17 Exponents and square roots Understanding exponents evaluate exponents solve equations with variable exponents exponents with decimal and fractional bases evaluate numerical expressions involving exponents square roots of perfect squares estimate square roots
18 Ratios, rates and proportions Write a ratio write a ratio: word problems identify equivalent ratios write an equivalent ratio equivalent ratios: word problems unit rates compare ratios: word problems compare rates: word problems ratios and rates: word problems do the ratios form a proportion? do the ratios form a proportion: word problems solve proportions solve proportions: word problems estimate population size using proportions
19 Percents What percentage is illustrated? convert fractions to percents using grid models convert between percents, fractions and decimals convert between percents, fractions and decimals: word problems compare percents to fractions and decimals estimate percents of numbers solve percent problems using grid models solve percent problems using strip models percents of numbers and money amounts percents of numbers: word problems find what percent one number is of another find what percent one number is of another: word problems solve percent equations solve percent equations: word problems
20 Consumer maths Which is the better coupon? add, subtract, multiply and divide money amounts: word problems price lists unit prices unit prices: find the total price percent of a number: gst, discount and more find the percent: discount and mark-up sale prices: find the original price multi-step problems with percents
21 Problem solving and estimation Estimate to solve word problems multi-step word problems guess-and-check word problems use venn diagrams to solve problems find the number of each type of coin elapsed time word problems
22 Units of measurement Estimate metric measurements compare and convert metric units metric mixed units convert between square metres and hectares convert square and cubic units of length convert between cubic metres and litres precision
23 Number sequences Identify arithmetic and geometric sequences arithmetic sequences geometric sequences number sequences: mixed review number sequences: word problems evaluate variable expressions for number sequences write variable expressions for arithmetic sequences
24 Expressions and properties Write variable expressions: one operation write variable expressions: two or three operations write variable expressions: word problems evaluate linear expressions evaluate multi-variable expressions evaluate nonlinear expressions identify terms and coefficients sort factors of expressions properties of addition and multiplication add using properties multiply using properties multiply using the distributive property solve equations using properties write equivalent expressions using properties add and subtract like terms add, subtract and multiply linear expressions factors of linear expressions identify equivalent linear expressions using algebra tiles identify equivalent linear expressions
25 One-variable equations Which x satisfies an equation? write an equation from words model and solve equations using algebra tiles write and solve equations that represent diagrams solve one-step equations solve two-step equations solve equations: complete the solution solve equations: word problems
26 Two-variable equations Does (x, y) satisfy the equation? solve word problems involving two-variable equations complete a table for a two-variable relationship write a two-variable equation identify the graph of an equation interpret a graph: word problems rate of change constant rate of change
27 Two-dimensional figures Identify and classify polygons lines, intervals and rays parallel, perpendicular and intersecting lines name, measure and classify angles acute, obtuse and right triangles scalene, isosceles and equilateral triangles classify triangles parallel sides in quadrilaterals identify parallelograms identify trapeziums identify rectangles identify rhombuses classify quadrilaterals i classify quadrilaterals ii graph triangles and quadrilaterals find missing angles in triangles and quadrilaterals sums of angles in polygons identify complementary, supplementary, vertical, adjacent and congruent angles find measures of complementary, supplementary, vertical and adjacent angles transversal of parallel lines find lengths and measures of bisected intervals and angles parts of a circle construct parallel lines construct the midpoint or perpendicular bisector of an interval construct a perpendicular line
28 Three-dimensional figures Bases of three-dimensional figures nets of three-dimensional figures front, side and top view
29 Geometric measurement Perimeter multiply to find the area of a rectangle made of unit squares area of rectangles and squares understanding area of a parallelogram area of parallelograms understanding area of a triangle area of triangles area between two shapes area and perimeter: word problems surface area of cubes and rectangular prisms surface area of triangular prisms surface area of pyramids volume of cubes and rectangular prisms volume of cubes and rectangular prisms: word problems
30 Statistics Calculate mean, median, mode and range interpret charts to find mean, median, mode and range mean, median, mode and range: find the missing number changes in mean, median, mode and range identify an outlier identify an outlier and describe the effect of removing it measures of centre and spread identify representative, random and biased samples
31 Probability More, less and equally likely probability of simple events probability of opposite, mutually exclusive and overlapping events experimental probability make predictions identify independent and dependent events
Sr. Topics Sub-Topics
1 Biological sciences Physical conditions for plants
2 Biological sciences Growth of fungi such as yeast and bread mould
3 Biological sciences Life in extreme environments such as antarctica or a desert
4 Biological sciences Migration and hibernation
5 Chemical sciences Solubility of common materials in water
6 Chemical sciences Irreversible changes
7 Chemical sciences Reversible changes
8 Earth and space sciences Geological events such as earthquakes, volcanic eruptions and tsunamis in australia, the asia region
9 Earth and space sciences Measurment of geological events
10 Earth and space sciences Effect of drought on living and non­living
11 Physical sciences Flow of electricity
12 Physical sciences Electric circuit
13 Physical sciences Electrical conductors and insulators
14 Physical sciences Electrical devices such as switches and light globes
15 Physical sciences Turbines to generate electricity
Sr. Topics Sub-Topics
1 Figurative language Identify similes and metaphors
2 Figurative language Determine the meanings of similes and metaphors
3 Prepositions Identify prepositions
4 Prepositions Identify prepositions and their objects
5 Prepositions Identify prepositional phrases
6 Prepositions Prepositions: review
7 Conjunctions Use coordinating conjunctions
8 Conjunctions Identify coordinating conjunctions
9 Conjunctions Identify subordinating conjunctions
10 Conjunctions Use the correct pair of correlative conjunctions
11 Conjunctions Fill in the missing correlative conjunction
12 Contractions Pronoun-verb contractions
13 Contractions Contractions with "not"
14 Verbs Identify transitive and intransitive verbs
15 Verbs Identify linking verbs, predicate adjectives and predicate nouns
16 Verbs Correct errors with subject-verb agreement
17 Verbs Correct errors with indefinite pronoun-verb agreement
18 Verbs Use the correct verb – with compound subjects
19 Verbs Irregular past tense: review
20 Verbs Simple past, present and future tense: review
21 Verbs Identify and correct inappropriate shifts in verb tense
22 Verbs Form the progressive verb tenses
23 Verbs Form the perfect verb tenses
24 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
25 Sentence structure Identify the complete subject or complete predicate of a sentence
26 Sentence structure Identify the simple subject or simple predicate of a sentence
27 Sentence structure Identify the compound subject or compound predicate of a sentence
28 Sentence structure Is it a direct object or an indirect object?
29 Sentence structure Is it a complete sentence or a fragment?
30 Sentence structure Is it a complete sentence or a run-on?
31 Sentence structure Is it a complete sentence, a fragment or a run-on?
32 Sentence structure Is it a phrase or a clause?
33 Sentence structure Identify prepositional phrases
34 Sentence structure Identify appositives and appositive phrases
35 Sentence structure Identify dependent and independent clauses
36 Sentence structure Is the sentence simple, compound, complex or compound-complex?
37 Sentence structure Combine sentences using relative clauses
38 Nouns Form and use plurals: review
39 Nouns Form and use plurals of compound nouns
40 Nouns Identify plurals, singular possessives and plural possessives
41 Nouns Form the singular or plural possessive
42 Nouns Identify and correct errors with plural and possessive nouns
43 Nouns Identify and correct errors with compound and joint possession
44 Pronouns Identify pronouns and their antecedents
45 Pronouns Use the pronoun that agrees with the antecedent
46 Pronouns Choose between subject and object pronouns
47 Pronouns Compound subjects and objects with 'i' and 'me'
48 Pronouns Compound subjects and objects with pronouns
49 Pronouns Choose between personal and reflexive pronouns
50 Pronouns Use reflexive pronouns
51 Pronouns Is the pronoun reflexive or intensive?
52 Pronouns Use relative pronouns: who and whom
53 Pronouns Use relative pronouns: who, whom, whose, which and that
54 Pronouns Identify vague pronoun references
55 Pronouns Identify all of the possible antecedents
56 Verbs and verbals Identify transitive and intransitive verbs
57 Verbs and verbals Identify linking verbs, predicate adjectives and predicate nouns
58 Verbs and verbals Correct errors with subject-verb agreement
59 Verbs and verbals Correct errors with indefinite pronoun-verb agreement
60 Verbs and verbals Use the correct verb – with compound subjects
61 Verbs and verbals Irregular past tense: review
62 Verbs and verbals Simple past, present and future tense: review
63 Verbs and verbals Identify and correct inappropriate shifts in verb tense
64 Verbs and verbals Form the progressive verb tenses
65 Verbs and verbals Form the perfect verb tenses
66 Verbs and verbals Identify active and passive voice
67 Verbs and verbals Rewrite the sentence in active voice
68 Verbs and verbals Identify participles and what they modify
69 Verbs and verbals Identify gerunds and their functions
70 Verbs and verbals Identify infinitives and infinitive phrases
71 Adjectives and adverbs Identify adjectives
72 Adjectives and adverbs Order adjectives
73 Adjectives and adverbs Identify adverbs
74 Adjectives and adverbs Choose between adjectives and adverbs
75 Adjectives and adverbs Is the word an adjective or adverb?
76 Adjectives and adverbs Form and use comparative and superlative adjectives
77 Adjectives and adverbs Good, better, best, bad, worse and worst
78 Adjectives and adverbs Form and use comparative and superlative adverbs
79 Adjectives and adverbs Well, better, best, badly, worse and worst
80 Punctuation, capitalisation and formatting Commas with compound and complex sentences
81 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words, interjections and interrupters
82 Punctuation, capitalisation and formatting Commas with coordinate adjectives
83 Punctuation, capitalisation and formatting What does the punctuation suggest?
84 Punctuation, capitalisation and formatting Commas with nonrestrictive elements
85 Punctuation, capitalisation and formatting Use semicolons and commas to separate clauses
86 Punctuation, capitalisation and formatting Use semicolons, colons and commas with lists
87 Punctuation, capitalisation and formatting Use dashes
88 Punctuation, capitalisation and formatting Use hyphens in compound adjectives
89 Punctuation, capitalisation and formatting Decide whether ellipses are used appropriately
90 Punctuation, capitalisation and formatting Correct capitalisation errors
91 Punctuation, capitalisation and formatting Capitalising titles
92 Punctuation, capitalisation and formatting Formatting titles
93 Punctuation, capitalisation and formatting Formatting and capitalising titles: review
94 Prefixes and suffixes Words with pre-
95 Prefixes and suffixes Words with re-
96 Prefixes and suffixes Words with sub-
97 Prefixes and suffixes Words with mis-
98 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
99 Prefixes and suffixes Words with -ful
100 Prefixes and suffixes Words with -less
101 Prefixes and suffixes Words with -able and -ible
102 Greek and latin roots Use greek and latin roots as clues to the meanings of words
103 Greek and latin roots Use words as clues to the meanings of greek and latin roots
104 Greek and latin roots Determine the meanings of greek and latin roots
105 Greek and latin roots Determine the meanings of words with greek and latin roots
106 Reference skills Alphabetical order
107 Reference skills Use guide words
108 Reference skills Use dictionary entries
109 Reference skills Use dictionary definitions
110 Reference skills Use thesaurus entries
111 Word relationships and usage Choose the synonym
112 Word relationships and usage Choose the antonym
113 Word relationships and usage Describe the difference between related words
114 Word relationships and usage Positive and negative connotation
115 Word relationships and usage Use the correct homophone
116 Word relationships and usage Use the correct frequently confused word
117 Word relationships and usage Correct errors with frequently confused words
118 Word relationships and usage Analogies
119 Word relationships and usage Analogies: challenge
120 Context clues Determine the meaning of words using synonyms in context
121 Context clues Determine the meaning of words using antonyms in context
122 Context clues Use context to identify the meaning of a word
123 Writing clear and concise sentences Transitions with conjunctive adverbs
124 Writing clear and concise sentences Use the correct pair of correlative conjunctions
125 Writing clear and concise sentences Use parallel structure
126 Writing clear and concise sentences Remove redundant words or phrases
127 Writing clear and concise sentences Misplaced modifiers with pictures
128 Writing clear and concise sentences Select the misplaced or dangling modifier
129 Writing clear and concise sentences Are the modifiers used correctly?
130 Author's purpose and tone Which sentence is more formal?
131 Literary devices Use personification
132 Literary devices Interpret the meaning of an allusion from its source
133 Literary devices Recall the source of an allusion
134 Literary devices Interpret figures of speech
135 Literary devices Classify figures of speech

Secondary School:

Secondary schools in Australia come after the primary education and caters to student’s educational needs from Year 7 to Year 10. As per the national curriculum framework, the following subjects are taught in the secondary level - math, science, history, geography, languages, arts, physical education, technology, economics, and business.

Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
6 Symmetry and transformations Lines of symmetry rotational symmetry reflection, rotation and translation dilations
7 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
8 Number theory Prime or composite prime factorisation multiplicative inverses divisibility rules highest common factor lowest common multiple hcf and lcm: word problems classify numbers
9 Integers Understanding integers integers on number lines graph integers on horizontal and vertical number lines compare integers order integers
10 Operations with integers Integer addition rules add integers using counters add integers using number lines add integers integer subtraction rules subtract integers using counters subtract integers using number lines subtract integers integer addition and subtraction rules add and subtract integers using counters add and subtract integers complete addition and subtraction number sentences with integers add and subtract integers: word problems integer multiplication rules multiply integers integer division rules divide integers evaluate numerical expressions involving integers
11 Decimals Decimal numbers review compare and order decimals decimal number lines round decimals
12 Operations with decimals Add and subtract decimals add and subtract decimals: word problems estimate sums and differences of decimals multiply decimals and whole numbers multiply decimals and whole numbers: word problems multiply decimals using grids multiply decimals estimate products of decimals divide decimals by whole numbers divide decimals by whole numbers: word problems divide decimals estimate quotients of decimals multiply and divide decimals: word problems add, subtract, multiply and divide decimals: word problems multi-step inequalities with decimals maps with decimal distances evaluate numerical expressions involving decimals
13 Fractions and mixed numbers Understanding fractions: word problems graph equivalent fractions on number lines equivalent fractions write fractions in lowest terms fractions: word problems with graphs and tables lowest common denominator compare and order fractions compare fractions: word problems convert between mixed numbers and improper fractions compare mixed numbers and improper fractions round mixed numbers
14 Add and subtract fractions Add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add fractions with unlike denominators using models add fractions with unlike denominators subtract fractions with unlike denominators using models subtract fractions with unlike denominators add and subtract fractions with unlike denominators: word problems add and subtract mixed numbers add and subtract mixed numbers: word problems inequalities with addition and subtraction of fractions and mixed numbers estimate sums and differences of mixed numbers
15 Multiply and divide fractions Multiply unit fractions by whole numbers using number lines multiply unit fractions by whole numbers using models multiples of fractions multiply fractions by whole numbers using arrays multiply fractions by whole numbers using number lines multiplying fractions by whole numbers: choose the model multiply fractions and whole numbers multiply fractions and whole numbers: word problems multiply two unit fractions using models multiply two fractions using models: fill in the missing factor multiply two fractions using models multiply fractions multiply fractions: word problems multiply three or more fractions and whole numbers divide unit fractions by whole numbers using models divide whole numbers by unit fractions using models divide whole numbers and unit fractions using area models reciprocals divide whole numbers and unit fractions divide fractions by whole numbers divide whole numbers by fractions divide fractions divide fractions: word problems estimate products and quotients of fractions and mixed numbers add, subtract, multiply and divide fractions and mixed numbers: word problems evaluate numerical expressions involving fractions
16 Rational numbers Fractions on number lines convert between decimals and fractions or mixed numbers compare rational numbers put rational numbers in order add and subtract rational numbers apply addition and subtraction rules multiply and divide rational numbers apply multiplication and division rules
17 Exponents and square roots Understanding exponents evaluate exponents solve equations with variable exponents exponents with decimal and fractional bases evaluate numerical expressions involving exponents square roots of perfect squares estimate square roots
18 Ratios, rates and proportions Write a ratio write a ratio: word problems identify equivalent ratios write an equivalent ratio equivalent ratios: word problems unit rates compare ratios: word problems compare rates: word problems ratios and rates: word problems do the ratios form a proportion? do the ratios form a proportion: word problems solve proportions solve proportions: word problems estimate population size using proportions
19 Percents What percentage is illustrated? convert fractions to percents using grid models convert between percents, fractions and decimals convert between percents, fractions and decimals: word problems compare percents to fractions and decimals estimate percents of numbers solve percent problems using grid models solve percent problems using strip models percents of numbers and money amounts percents of numbers: word problems find what percent one number is of another find what percent one number is of another: word problems solve percent equations solve percent equations: word problems
20 Consumer maths Which is the better coupon? add, subtract, multiply and divide money amounts: word problems price lists unit prices unit prices: find the total price percent of a number: gst, discount and more find the percent: discount and mark-up sale prices: find the original price multi-step problems with percents
21 Problem solving and estimation Estimate to solve word problems multi-step word problems guess-and-check word problems use venn diagrams to solve problems find the number of each type of coin elapsed time word problems
22 Units of measurement Estimate metric measurements compare and convert metric units metric mixed units convert between square metres and hectares convert square and cubic units of length convert between cubic metres and litres precision
23 Number sequences Identify arithmetic and geometric sequences arithmetic sequences geometric sequences number sequences: mixed review number sequences: word problems evaluate variable expressions for number sequences write variable expressions for arithmetic sequences
24 Expressions and properties Write variable expressions: one operation write variable expressions: two or three operations write variable expressions: word problems evaluate linear expressions evaluate multi-variable expressions evaluate nonlinear expressions identify terms and coefficients sort factors of expressions properties of addition and multiplication add using properties multiply using properties multiply using the distributive property solve equations using properties write equivalent expressions using properties add and subtract like terms add, subtract and multiply linear expressions factors of linear expressions identify equivalent linear expressions using algebra tiles identify equivalent linear expressions
25 One-variable equations Which x satisfies an equation? write an equation from words model and solve equations using algebra tiles write and solve equations that represent diagrams solve one-step equations solve two-step equations solve equations: complete the solution solve equations: word problems
26 Two-variable equations Does (x, y) satisfy the equation? solve word problems involving two-variable equations complete a table for a two-variable relationship write a two-variable equation identify the graph of an equation interpret a graph: word problems rate of change constant rate of change
27 Two-dimensional figures Identify and classify polygons lines, intervals and rays parallel, perpendicular and intersecting lines name, measure and classify angles acute, obtuse and right triangles scalene, isosceles and equilateral triangles classify triangles parallel sides in quadrilaterals identify parallelograms identify trapeziums identify rectangles identify rhombuses classify quadrilaterals i classify quadrilaterals ii graph triangles and quadrilaterals find missing angles in triangles and quadrilaterals sums of angles in polygons identify complementary, supplementary, vertical, adjacent and congruent angles find measures of complementary, supplementary, vertical and adjacent angles transversal of parallel lines find lengths and measures of bisected intervals and angles parts of a circle construct parallel lines construct the midpoint or perpendicular bisector of an interval construct a perpendicular line
28 Three-dimensional figures Bases of three-dimensional figures nets of three-dimensional figures front, side and top view
29 Geometric measurement Perimeter multiply to find the area of a rectangle made of unit squares area of rectangles and squares understanding area of a parallelogram area of parallelograms understanding area of a triangle area of triangles area between two shapes area and perimeter: word problems surface area of cubes and rectangular prisms surface area of triangular prisms surface area of pyramids volume of cubes and rectangular prisms volume of cubes and rectangular prisms: word problems
30 Statistics Calculate mean, median, mode and range interpret charts to find mean, median, mode and range mean, median, mode and range: find the missing number changes in mean, median, mode and range identify an outlier identify an outlier and describe the effect of removing it measures of centre and spread identify representative, random and biased samples
31 Probability More, less and equally likely probability of simple events probability of opposite, mutually exclusive and overlapping events experimental probability make predictions identify independent and dependent events
Sr. Topics Sub-Topics
1 Biological sciences Biological classifications
2 Biological sciences Hierarchical systems
3 Biological sciences Scientific conventions for naming species
4 Biological sciences Identify organisms surveyed in a local habitat
5 Biological sciences Human activity
6 Biological sciences Effect of human activity on local habitats
7 Biological sciences Food chains and food webs
8 Chemical sciences Differences between pure substances and mixtures
9 Chemical sciences Physical separation techniques
10 Chemical sciences Separation methods used in the home
11 Earth and space sciences Seasons and eclipses
12 Earth and space sciences Relative positions of the sun, earth and the moon
13 Earth and space sciences Lunar and solar eclipses
14 Earth and space sciences Seasons and phases of the moon
15 Earth and space sciences Comparing the times for the orbits of earth and the moon
16 Earth and space sciences Human management of water impacts on the water cycle
17 Earth and space sciences Influence the water cycle in nature
18 Earth and space sciences Renewable and non­renewable energy sources
19 Physical sciences Simple machine such as lever or pulley system
20 Physical sciences Gravity on the surface of earth
Sr. Topics Sub-Topics
1 Figurative language Identify similes and metaphors
2 Figurative language Determine the meanings of similes and metaphors
3 Prepositions Identify prepositions
4 Prepositions Identify prepositions and their objects
5 Prepositions Identify prepositional phrases
6 Prepositions Prepositions: review
7 Conjunctions Use coordinating conjunctions
8 Conjunctions Identify coordinating conjunctions
9 Conjunctions Identify subordinating conjunctions
10 Conjunctions Use the correct pair of correlative conjunctions
11 Conjunctions Fill in the missing correlative conjunction
12 Contractions Pronoun-verb contractions
13 Contractions Contractions with "not"
14 Verbs Identify transitive and intransitive verbs
15 Verbs Identify linking verbs, predicate adjectives and predicate nouns
16 Verbs Correct errors with subject-verb agreement
17 Verbs Correct errors with indefinite pronoun-verb agreement
18 Verbs Use the correct verb – with compound subjects
19 Verbs Irregular past tense: review
20 Verbs Simple past, present and future tense: review
21 Verbs Identify and correct inappropriate shifts in verb tense
22 Verbs Form the progressive verb tenses
23 Verbs Form the perfect verb tenses
24 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
25 Sentence structure Identify the complete subject or complete predicate of a sentence
26 Sentence structure Identify the simple subject or simple predicate of a sentence
27 Sentence structure Identify the compound subject or compound predicate of a sentence
28 Sentence structure Is it a direct object or an indirect object?
29 Sentence structure Is it a complete sentence or a fragment?
30 Sentence structure Is it a complete sentence or a run-on?
31 Sentence structure Is it a complete sentence, a fragment or a run-on?
32 Sentence structure Is it a phrase or a clause?
33 Sentence structure Identify prepositional phrases
34 Sentence structure Identify appositives and appositive phrases
35 Sentence structure Identify dependent and independent clauses
36 Sentence structure Is the sentence simple, compound, complex or compound-complex?
37 Sentence structure Combine sentences using relative clauses
38 Nouns Form and use plurals: review
39 Nouns Form and use plurals of compound nouns
40 Nouns Identify plurals, singular possessives and plural possessives
41 Nouns Form the singular or plural possessive
42 Nouns Identify and correct errors with plural and possessive nouns
43 Nouns Identify and correct errors with compound and joint possession
44 Pronouns Identify pronouns and their antecedents
45 Pronouns Use the pronoun that agrees with the antecedent
46 Pronouns Choose between subject and object pronouns
47 Pronouns Compound subjects and objects with 'i' and 'me'
48 Pronouns Compound subjects and objects with pronouns
49 Pronouns Choose between personal and reflexive pronouns
50 Pronouns Use reflexive pronouns
51 Pronouns Is the pronoun reflexive or intensive?
52 Pronouns Use relative pronouns: who and whom
53 Pronouns Use relative pronouns: who, whom, whose, which and that
54 Pronouns Identify vague pronoun references
55 Pronouns Identify all of the possible antecedents
56 Verbs and verbals Identify transitive and intransitive verbs
57 Verbs and verbals Identify linking verbs, predicate adjectives and predicate nouns
58 Verbs and verbals Correct errors with subject-verb agreement
59 Verbs and verbals Correct errors with indefinite pronoun-verb agreement
60 Verbs and verbals Use the correct verb – with compound subjects
61 Verbs and verbals Irregular past tense: review
62 Verbs and verbals Simple past, present and future tense: review
63 Verbs and verbals Identify and correct inappropriate shifts in verb tense
64 Verbs and verbals Form the progressive verb tenses
65 Verbs and verbals Form the perfect verb tenses
66 Verbs and verbals Identify active and passive voice
67 Verbs and verbals Rewrite the sentence in active voice
68 Verbs and verbals Identify participles and what they modify
69 Verbs and verbals Identify gerunds and their functions
70 Verbs and verbals Identify infinitives and infinitive phrases
71 Adjectives and adverbs Identify adjectives
72 Adjectives and adverbs Order adjectives
73 Adjectives and adverbs Identify adverbs
74 Adjectives and adverbs Choose between adjectives and adverbs
75 Adjectives and adverbs Is the word an adjective or adverb?
76 Adjectives and adverbs Form and use comparative and superlative adjectives
77 Adjectives and adverbs Good, better, best, bad, worse and worst
78 Adjectives and adverbs Form and use comparative and superlative adverbs
79 Adjectives and adverbs Well, better, best, badly, worse and worst
80 Punctuation, capitalisation and formatting Commas with compound and complex sentences
81 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words, interjections and interrupters
82 Punctuation, capitalisation and formatting Commas with coordinate adjectives
83 Punctuation, capitalisation and formatting What does the punctuation suggest?
84 Punctuation, capitalisation and formatting Commas with nonrestrictive elements
85 Punctuation, capitalisation and formatting Use semicolons and commas to separate clauses
86 Punctuation, capitalisation and formatting Use semicolons, colons and commas with lists
87 Punctuation, capitalisation and formatting Use dashes
88 Punctuation, capitalisation and formatting Use hyphens in compound adjectives
89 Punctuation, capitalisation and formatting Decide whether ellipses are used appropriately
90 Punctuation, capitalisation and formatting Correct capitalisation errors
91 Punctuation, capitalisation and formatting Capitalising titles
92 Punctuation, capitalisation and formatting Formatting titles
93 Punctuation, capitalisation and formatting Formatting and capitalising titles: review
94 Prefixes and suffixes Words with pre-
95 Prefixes and suffixes Words with re-
96 Prefixes and suffixes Words with sub-
97 Prefixes and suffixes Words with mis-
98 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
99 Prefixes and suffixes Words with -ful
100 Prefixes and suffixes Words with -less
101 Prefixes and suffixes Words with -able and -ible
102 Greek and latin roots Use greek and latin roots as clues to the meanings of words
103 Greek and latin roots Use words as clues to the meanings of greek and latin roots
104 Greek and latin roots Determine the meanings of greek and latin roots
105 Greek and latin roots Determine the meanings of words with greek and latin roots
106 Reference skills Alphabetical order
107 Reference skills Use guide words
108 Reference skills Use dictionary entries
109 Reference skills Use dictionary definitions
110 Reference skills Use thesaurus entries
111 Word relationships and usage Choose the synonym
112 Word relationships and usage Choose the antonym
113 Word relationships and usage Describe the difference between related words
114 Word relationships and usage Positive and negative connotation
115 Word relationships and usage Use the correct homophone
116 Word relationships and usage Use the correct frequently confused word
117 Word relationships and usage Correct errors with frequently confused words
118 Word relationships and usage Analogies
119 Word relationships and usage Analogies: challenge
120 Context clues Determine the meaning of words using synonyms in context
121 Context clues Determine the meaning of words using antonyms in context
122 Context clues Use context to identify the meaning of a word
123 Writing clear and concise sentences Transitions with conjunctive adverbs
124 Writing clear and concise sentences Use the correct pair of correlative conjunctions
125 Writing clear and concise sentences Use parallel structure
126 Writing clear and concise sentences Remove redundant words or phrases
127 Writing clear and concise sentences Misplaced modifiers with pictures
128 Writing clear and concise sentences Select the misplaced or dangling modifier
129 Writing clear and concise sentences Are the modifiers used correctly?
130 Author's purpose and tone Which sentence is more formal?
131 Literary devices Use personification
132 Literary devices Interpret the meaning of an allusion from its source
133 Literary devices Recall the source of an allusion
134 Literary devices Interpret figures of speech
135 Literary devices Classify figures of speech
Sr. Topics Sub-Topics
1 Place values and number sense Place values convert between place values compare numbers up to millions put numbers in order writing numbers in words: convert words to digits writing numbers in words: convert digits to words roman numerals rounding even or odd: arithmetic rules
2 Addition and subtraction Add and subtract whole numbers add and subtract whole numbers: word problems complete addition and subtraction number sentences fill in the missing digits choose numbers with a particular sum or difference properties of addition inequalities with addition and subtraction estimate sums and differences of whole numbers estimate sums and differences: word problems
3 Multiplication Multiplication facts to 10 multiplication facts to 10: word problems multiplication facts up to 10: find the missing factor multiplication number sentences up to 10: true or false? multiply one-digit numbers by three-digit or four-digit numbers using area models i multiply one-digit numbers by three-digit or four-digit numbers using area models ii multiply one-digit numbers by three-digit or four-digit numbers using expanded form multiply one-digit numbers by multi-digit numbers using partial products multiply by one-digit numbers multiply by one-digit numbers: word problems multiplication patterns over increasing place values multiply numbers ending in zeroes multiply numbers ending in zeroes: word problems properties of multiplication estimate products estimate products: word problems multiply two-digit numbers by two-digit numbers using area models i multiply two-digit numbers by two-digit numbers using area models ii distributive property: find the missing number multiply using the distributive property use one multiplication fact to complete another multiply two-digit numbers by two-digit numbers using partial products multiply a two-digit number by a two-digit number: complete the missing steps multiply a two-digit number by a two-digit number box multiplication lattice multiplication multiply a two-digit number by a larger number: complete the missing steps multiply a two-digit number by a larger number multiply by two-digit numbers: word problems multiply three or more numbers up to two digits each multiply three or more numbers: word problems choose numbers with a particular product inequalities with multiplication
4 Division Division facts to 10 division facts to 10: word problems division facts up to 10: find the missing number division number sentences up to 10: true or false? divide two-digit numbers by one-digit numbers using arrays divide using the distributive property divide three-digit numbers by one-digit numbers using area models divide using partial quotients divide by one-digit numbers divide by one-digit numbers: word problems divide by one-digit numbers: interpret remainders estimate quotients estimate quotients: word problems division patterns over increasing place values divide numbers ending in zeroes divide numbers ending in zeroes: word problems choose numbers with a particular quotient divide by two-digit numbers
5 Time Convert time units add and subtract mixed time units elapsed time find start and end times: word problems convert between 12-hour and 24-hour time time zones - 12-hour time time zones - 24-hour time schedules and timelines - 12-hour time schedules - 24-hour time time patterns
6 Symmetry and transformations Lines of symmetry rotational symmetry reflection, rotation and translation dilations
7 Financial literacy Budget a weekly allowance: word problems reading financial records keeping financial records balance a budget adjust a budget
8 Number theory Prime or composite prime factorisation multiplicative inverses divisibility rules highest common factor lowest common multiple hcf and lcm: word problems classify numbers
9 Integers Understanding integers integers on number lines graph integers on horizontal and vertical number lines compare integers order integers
10 Operations with integers Integer addition rules add integers using counters add integers using number lines add integers integer subtraction rules subtract integers using counters subtract integers using number lines subtract integers integer addition and subtraction rules add and subtract integers using counters add and subtract integers complete addition and subtraction number sentences with integers add and subtract integers: word problems integer multiplication rules multiply integers integer division rules divide integers evaluate numerical expressions involving integers
11 Decimals Decimal numbers review compare and order decimals decimal number lines round decimals
12 Operations with decimals Add and subtract decimals add and subtract decimals: word problems estimate sums and differences of decimals multiply decimals and whole numbers multiply decimals and whole numbers: word problems multiply decimals using grids multiply decimals estimate products of decimals divide decimals by whole numbers divide decimals by whole numbers: word problems divide decimals estimate quotients of decimals multiply and divide decimals: word problems add, subtract, multiply and divide decimals: word problems multi-step inequalities with decimals maps with decimal distances evaluate numerical expressions involving decimals
13 Fractions and mixed numbers Understanding fractions: word problems graph equivalent fractions on number lines equivalent fractions write fractions in lowest terms fractions: word problems with graphs and tables lowest common denominator compare and order fractions compare fractions: word problems convert between mixed numbers and improper fractions compare mixed numbers and improper fractions round mixed numbers
14 Add and subtract fractions Add and subtract fractions with like denominators add and subtract fractions with like denominators: word problems add fractions with unlike denominators using models add fractions with unlike denominators subtract fractions with unlike denominators using models subtract fractions with unlike denominators add and subtract fractions with unlike denominators: word problems add and subtract mixed numbers add and subtract mixed numbers: word problems inequalities with addition and subtraction of fractions and mixed numbers estimate sums and differences of mixed numbers
15 Multiply and divide fractions Multiply unit fractions by whole numbers using number lines multiply unit fractions by whole numbers using models multiples of fractions multiply fractions by whole numbers using arrays multiply fractions by whole numbers using number lines multiplying fractions by whole numbers: choose the model multiply fractions and whole numbers multiply fractions and whole numbers: word problems multiply two unit fractions using models multiply two fractions using models: fill in the missing factor multiply two fractions using models multiply fractions multiply fractions: word problems multiply three or more fractions and whole numbers divide unit fractions by whole numbers using models divide whole numbers by unit fractions using models divide whole numbers and unit fractions using area models reciprocals divide whole numbers and unit fractions divide fractions by whole numbers divide whole numbers by fractions divide fractions divide fractions: word problems estimate products and quotients of fractions and mixed numbers add, subtract, multiply and divide fractions and mixed numbers: word problems evaluate numerical expressions involving fractions
16 Rational numbers Fractions on number lines convert between decimals and fractions or mixed numbers compare rational numbers put rational numbers in order add and subtract rational numbers apply addition and subtraction rules multiply and divide rational numbers apply multiplication and division rules
17 Exponents and square roots Understanding exponents evaluate exponents solve equations with variable exponents exponents with decimal and fractional bases evaluate numerical expressions involving exponents square roots of perfect squares estimate square roots
18 Ratios, rates and proportions Write a ratio write a ratio: word problems identify equivalent ratios write an equivalent ratio equivalent ratios: word problems unit rates compare ratios: word problems compare rates: word problems ratios and rates: word problems do the ratios form a proportion? do the ratios form a proportion: word problems solve proportions solve proportions: word problems estimate population size using proportions
19 Percents What percentage is illustrated? convert fractions to percents using grid models convert between percents, fractions and decimals convert between percents, fractions and decimals: word problems compare percents to fractions and decimals estimate percents of numbers solve percent problems using grid models solve percent problems using strip models percents of numbers and money amounts percents of numbers: word problems find what percent one number is of another find what percent one number is of another: word problems solve percent equations solve percent equations: word problems
20 Consumer maths Which is the better coupon? add, subtract, multiply and divide money amounts: word problems price lists unit prices unit prices: find the total price percent of a number: gst, discount and more find the percent: discount and mark-up sale prices: find the original price multi-step problems with percents
21 Problem solving and estimation Estimate to solve word problems multi-step word problems guess-and-check word problems use venn diagrams to solve problems find the number of each type of coin elapsed time word problems
22 Units of measurement Estimate metric measurements compare and convert metric units metric mixed units convert between square metres and hectares convert square and cubic units of length convert between cubic metres and litres precision
23 Number sequences Identify arithmetic and geometric sequences arithmetic sequences geometric sequences number sequences: mixed review number sequences: word problems evaluate variable expressions for number sequences write variable expressions for arithmetic sequences
24 Expressions and properties Write variable expressions: one operation write variable expressions: two or three operations write variable expressions: word problems evaluate linear expressions evaluate multi-variable expressions evaluate nonlinear expressions identify terms and coefficients sort factors of expressions properties of addition and multiplication add using properties multiply using properties multiply using the distributive property solve equations using properties write equivalent expressions using properties add and subtract like terms add, subtract and multiply linear expressions factors of linear expressions identify equivalent linear expressions using algebra tiles identify equivalent linear expressions
25 One-variable equations Which x satisfies an equation? write an equation from words model and solve equations using algebra tiles write and solve equations that represent diagrams solve one-step equations solve two-step equations solve equations: complete the solution solve equations: word problems
26 Two-variable equations Does (x, y) satisfy the equation? solve word problems involving two-variable equations complete a table for a two-variable relationship write a two-variable equation identify the graph of an equation interpret a graph: word problems rate of change constant rate of change
27 Two-dimensional figures Identify and classify polygons lines, intervals and rays parallel, perpendicular and intersecting lines name, measure and classify angles acute, obtuse and right triangles scalene, isosceles and equilateral triangles classify triangles parallel sides in quadrilaterals identify parallelograms identify trapeziums identify rectangles identify rhombuses classify quadrilaterals i classify quadrilaterals ii graph triangles and quadrilaterals find missing angles in triangles and quadrilaterals sums of angles in polygons identify complementary, supplementary, vertical, adjacent and congruent angles find measures of complementary, supplementary, vertical and adjacent angles transversal of parallel lines find lengths and measures of bisected intervals and angles parts of a circle construct parallel lines construct the midpoint or perpendicular bisector of an interval construct a perpendicular line
28 Three-dimensional figures Bases of three-dimensional figures nets of three-dimensional figures front, side and top view
29 Geometric measurement Perimeter multiply to find the area of a rectangle made of unit squares area of rectangles and squares understanding area of a parallelogram area of parallelograms understanding area of a triangle area of triangles area between two shapes area and perimeter: word problems surface area of cubes and rectangular prisms surface area of triangular prisms surface area of pyramids volume of cubes and rectangular prisms volume of cubes and rectangular prisms: word problems
30 Statistics Calculate mean, median, mode and range interpret charts to find mean, median, mode and range mean, median, mode and range: find the missing number changes in mean, median, mode and range identify an outlier identify an outlier and describe the effect of removing it measures of centre and spread identify representative, random and biased samples
31 Probability More, less and equally likely probability of simple events probability of opposite, mutually exclusive and overlapping events experimental probability make predictions identify independent and dependent events
Sr. Topics Sub-Topics
1 Biological sciences Biological classifications
2 Biological sciences Hierarchical systems
3 Biological sciences Scientific conventions for naming species
4 Biological sciences Identify organisms surveyed in a local habitat
5 Biological sciences Human activity
6 Biological sciences Effect of human activity on local habitats
7 Biological sciences Food chains and food webs
8 Chemical sciences Differences between pure substances and mixtures
9 Chemical sciences Physical separation techniques
10 Chemical sciences Separation methods used in the home
11 Earth and space sciences Seasons and eclipses
12 Earth and space sciences Relative positions of the sun, earth and the moon
13 Earth and space sciences Lunar and solar eclipses
14 Earth and space sciences Seasons and phases of the moon
15 Earth and space sciences Comparing the times for the orbits of earth and the moon
16 Earth and space sciences Human management of water impacts on the water cycle
17 Earth and space sciences Influence the water cycle in nature
18 Earth and space sciences Renewable and non­renewable energy sources
19 Physical sciences Simple machine such as lever or pulley system
20 Physical sciences Gravity on the surface of earth
Sr. Topics Sub-Topics
1 Figurative language Identify similes and metaphors
2 Figurative language Determine the meanings of similes and metaphors
3 Prepositions Identify prepositions
4 Prepositions Identify prepositions and their objects
5 Prepositions Identify prepositional phrases
6 Prepositions Prepositions: review
7 Conjunctions Use coordinating conjunctions
8 Conjunctions Identify coordinating conjunctions
9 Conjunctions Identify subordinating conjunctions
10 Conjunctions Use the correct pair of correlative conjunctions
11 Conjunctions Fill in the missing correlative conjunction
12 Contractions Pronoun-verb contractions
13 Contractions Contractions with "not"
14 Verbs Identify transitive and intransitive verbs
15 Verbs Identify linking verbs, predicate adjectives and predicate nouns
16 Verbs Correct errors with subject-verb agreement
17 Verbs Correct errors with indefinite pronoun-verb agreement
18 Verbs Use the correct verb – with compound subjects
19 Verbs Irregular past tense: review
20 Verbs Simple past, present and future tense: review
21 Verbs Identify and correct inappropriate shifts in verb tense
22 Verbs Form the progressive verb tenses
23 Verbs Form the perfect verb tenses
24 Sentence structure Is the sentence declarative, interrogative, imperative or exclamatory?
25 Sentence structure Identify the complete subject or complete predicate of a sentence
26 Sentence structure Identify the simple subject or simple predicate of a sentence
27 Sentence structure Identify the compound subject or compound predicate of a sentence
28 Sentence structure Is it a direct object or an indirect object?
29 Sentence structure Is it a complete sentence or a fragment?
30 Sentence structure Is it a complete sentence or a run-on?
31 Sentence structure Is it a complete sentence, a fragment or a run-on?
32 Sentence structure Is it a phrase or a clause?
33 Sentence structure Identify prepositional phrases
34 Sentence structure Identify appositives and appositive phrases
35 Sentence structure Identify dependent and independent clauses
36 Sentence structure Is the sentence simple, compound, complex or compound-complex?
37 Sentence structure Combine sentences using relative clauses
38 Nouns Form and use plurals: review
39 Nouns Form and use plurals of compound nouns
40 Nouns Identify plurals, singular possessives and plural possessives
41 Nouns Form the singular or plural possessive
42 Nouns Identify and correct errors with plural and possessive nouns
43 Nouns Identify and correct errors with compound and joint possession
44 Pronouns Identify pronouns and their antecedents
45 Pronouns Use the pronoun that agrees with the antecedent
46 Pronouns Choose between subject and object pronouns
47 Pronouns Compound subjects and objects with 'i' and 'me'
48 Pronouns Compound subjects and objects with pronouns
49 Pronouns Choose between personal and reflexive pronouns
50 Pronouns Use reflexive pronouns
51 Pronouns Is the pronoun reflexive or intensive?
52 Pronouns Use relative pronouns: who and whom
53 Pronouns Use relative pronouns: who, whom, whose, which and that
54 Pronouns Identify vague pronoun references
55 Pronouns Identify all of the possible antecedents
56 Verbs and verbals Identify transitive and intransitive verbs
57 Verbs and verbals Identify linking verbs, predicate adjectives and predicate nouns
58 Verbs and verbals Correct errors with subject-verb agreement
59 Verbs and verbals Correct errors with indefinite pronoun-verb agreement
60 Verbs and verbals Use the correct verb – with compound subjects
61 Verbs and verbals Irregular past tense: review
62 Verbs and verbals Simple past, present and future tense: review
63 Verbs and verbals Identify and correct inappropriate shifts in verb tense
64 Verbs and verbals Form the progressive verb tenses
65 Verbs and verbals Form the perfect verb tenses
66 Verbs and verbals Identify active and passive voice
67 Verbs and verbals Rewrite the sentence in active voice
68 Verbs and verbals Identify participles and what they modify
69 Verbs and verbals Identify gerunds and their functions
70 Verbs and verbals Identify infinitives and infinitive phrases
71 Adjectives and adverbs Identify adjectives
72 Adjectives and adverbs Order adjectives
73 Adjectives and adverbs Identify adverbs
74 Adjectives and adverbs Choose between adjectives and adverbs
75 Adjectives and adverbs Is the word an adjective or adverb?
76 Adjectives and adverbs Form and use comparative and superlative adjectives
77 Adjectives and adverbs Good, better, best, bad, worse and worst
78 Adjectives and adverbs Form and use comparative and superlative adverbs
79 Adjectives and adverbs Well, better, best, badly, worse and worst
80 Punctuation, capitalisation and formatting Commas with compound and complex sentences
81 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words, interjections and interrupters
82 Punctuation, capitalisation and formatting Commas with coordinate adjectives
83 Punctuation, capitalisation and formatting What does the punctuation suggest?
84 Punctuation, capitalisation and formatting Commas with nonrestrictive elements
85 Punctuation, capitalisation and formatting Use semicolons and commas to separate clauses
86 Punctuation, capitalisation and formatting Use semicolons, colons and commas with lists
87 Punctuation, capitalisation and formatting Use dashes
88 Punctuation, capitalisation and formatting Use hyphens in compound adjectives
89 Punctuation, capitalisation and formatting Decide whether ellipses are used appropriately
90 Punctuation, capitalisation and formatting Correct capitalisation errors
91 Punctuation, capitalisation and formatting Capitalising titles
92 Punctuation, capitalisation and formatting Formatting titles
93 Punctuation, capitalisation and formatting Formatting and capitalising titles: review
94 Prefixes and suffixes Words with pre-
95 Prefixes and suffixes Words with re-
96 Prefixes and suffixes Words with sub-
97 Prefixes and suffixes Words with mis-
98 Prefixes and suffixes Words with un-, dis-, in-, im- and non-
99 Prefixes and suffixes Words with -ful
100 Prefixes and suffixes Words with -less
101 Prefixes and suffixes Words with -able and -ible
102 Greek and latin roots Use greek and latin roots as clues to the meanings of words
103 Greek and latin roots Use words as clues to the meanings of greek and latin roots
104 Greek and latin roots Determine the meanings of greek and latin roots
105 Greek and latin roots Determine the meanings of words with greek and latin roots
106 Reference skills Alphabetical order
107 Reference skills Use guide words
108 Reference skills Use dictionary entries
109 Reference skills Use dictionary definitions
110 Reference skills Use thesaurus entries
111 Word relationships and usage Choose the synonym
112 Word relationships and usage Choose the antonym
113 Word relationships and usage Describe the difference between related words
114 Word relationships and usage Positive and negative connotation
115 Word relationships and usage Use the correct homophone
116 Word relationships and usage Use the correct frequently confused word
117 Word relationships and usage Correct errors with frequently confused words
118 Word relationships and usage Analogies
119 Word relationships and usage Analogies: challenge
120 Context clues Determine the meaning of words using synonyms in context
121 Context clues Determine the meaning of words using antonyms in context
122 Context clues Use context to identify the meaning of a word
123 Writing clear and concise sentences Transitions with conjunctive adverbs
124 Writing clear and concise sentences Use the correct pair of correlative conjunctions
125 Writing clear and concise sentences Use parallel structure
126 Writing clear and concise sentences Remove redundant words or phrases
127 Writing clear and concise sentences Misplaced modifiers with pictures
128 Writing clear and concise sentences Select the misplaced or dangling modifier
129 Writing clear and concise sentences Are the modifiers used correctly?
130 Author's purpose and tone Which sentence is more formal?
131 Literary devices Use personification
132 Literary devices Interpret the meaning of an allusion from its source
133 Literary devices Recall the source of an allusion
134 Literary devices Interpret figures of speech
135 Literary devices Classify figures of speech
Sr. Topics Sub-Topics
1 Functions Domain and range identify functions find the gradient of a linear function graph a linear function write the equation of a linear function linear functions over unit intervals complete a function table: absolute value functions graph an absolute value function evaluate functions find values using function graphs complete a table for a function graph add, subtract, multiply and divide functions composition of functions identify inverse functions find values of inverse functions from tables find values of inverse functions from graphs find inverse functions and relations
2 Families of functions Translations of functions reflections of functions dilations of functions transformations of functions function transformation rules describe function transformations
3 Quadratic functions Characteristics of quadratic functions find the maximum or minimum value of a quadratic function graph a quadratic function match quadratic functions and graphs solve a quadratic equation using square roots solve a quadratic equation by factorising solve a quadratic equation by completing the square solve a quadratic equation using the quadratic formula using the discriminant
4 Polynomials Divide polynomials using long division divide polynomials using synthetic division evaluate polynomials using synthetic division write a polynomial from its roots find the roots of factorised polynomials rational root theorem complex conjugate theorem conjugate root theorems descartes' rule of signs fundamental theorem of algebra match polynomials and graphs factorise sums and differences of cubes solve equations with sums and differences of cubes factorise using a quadratic pattern solve equations using a quadratic pattern pascal's triangle pascal's triangle and the binomial theorem binomial theorem i binomial theorem ii
5 Rational functions Rational functions: asymptotes and excluded values solve rational equations check whether two rational functions are inverses
6 Exponential and logarithmic functions Domain and range of exponential and logarithmic functions convert between exponential and logarithmic form evaluate logarithms change of base formula product property of logarithms quotient property of logarithms power property of logarithms evaluate logarithms using properties solve exponential equations by factorising solve exponential equations using logarithms solve logarithmic equations with one logarithm solve logarithmic equations with multiple logarithms identify linear and exponential functions exponential functions over unit intervals describe linear and exponential growth and decay exponential growth and decay: word problems compound interest: word problems
7 Radical functions "domain and range of radical functions solve radical equations" domain and range of radical functions solve radical equations
8 Roots and rational exponents Roots of integers roots of rational numbers find roots using a calculator evaluate rational exponents operations with rational exponents nth roots simplify radical expressions with variables simplify expressions involving rational exponents
9 Simultaneous equations Solve simultaneous equations by graphing solve simultaneous equations by graphing: word problems classify simultaneous equations solve simultaneous equations using substitution solve simultaneous equations using substitution: word problems solve simultaneous equations using elimination solve simultaneous equations using elimination: word problems solve simultaneous equations in three variables using substitution solve simultaneous equations in three variables using elimination determine the number of solutions to simultaneous equations in three variables
10 Inequalities and linear programming Solve systems of inequalities by graphing find the vertices of a solution set linear programming graph solutions to quadratic inequalities solve quadratic inequalities graph solutions to higher-degree inequalities solve higher-degree inequalities
11 Matrices Matrix vocabulary matrix operation rules add and subtract matrices multiply a matrix by a scalar linear combinations of matrices multiply two matrices simplify matrix expressions solve matrix equations determinant of a matrix is a matrix invertible? inverse of a matrix identify inverse matrices solve matrix equations using inverses identify transformation matrices transformation matrices: write the vertex matrix transformation matrices: graph the image
12 Trigonometry Convert between radians and degrees radians and arc length quadrants coterminal and reference angles find trigonometric ratios using right triangles find trigonometric ratios using the unit circle find trigonometric ratios using reference angles inverses of trigonometric functions solve trigonometric equations trigonometric ratios: find a side length trigonometric ratios: find an angle measure solve a right triangle law of sines law of cosines solve a triangle area of a triangle: sine formula area of a triangle: heron's formula
13 Trigonometric functions Find properties of sine functions write equations of sine functions from graphs write equations of sine functions using properties graph sine functions find properties of cosine functions write equations of cosine functions from graphs write equations of cosine functions using properties graph cosine functions graph sine and cosine functions
14 Trigonometric identities Complementary angle identities symmetry and periodicity of trigonometric functions trigonometric identities i trigonometric identities ii
15 Conic sections Find properties of parabolas write equations of parabolas in vertex form graph parabolas find properties of circles write equations of circles in standard form graph circles find properties of ellipses find the eccentricity of an ellipse write equations of ellipses in standard form find properties of hyperbolas find the eccentricity of a hyperbola write equations of hyperbolas in standard form convert equations of conic sections from general to standard form
16 Complex numbers Add and subtract complex numbers complex conjugates multiply and divide complex numbers add, subtract, multiply and divide complex numbers absolute values of complex numbers powers of i
17 Complex plane Introduction to the complex plane graph complex numbers addition in the complex plane subtraction in the complex plane graph complex conjugates absolute value in the complex plane midpoints in the complex plane distance in the complex plane
18 Polar form Find the modulus and argument of a complex number convert complex numbers from rectangular to polar form convert complex numbers from polar to rectangular form convert complex numbers between rectangular and polar form match polar equations and graphs
19 Two-dimensional vectors Find the magnitude of a vector find the direction angle of a vector find the component form of a vector find the component form of a vector from its magnitude and direction angle find a unit vector add and subtract vectors multiply a vector by a scalar find the magnitude or direction of a vector scalar multiple find the magnitude and direction of a vector sum linear combinations of vectors graph a resultant vector using the triangle method graph a resultant vector using the parallelogram method
20 Three-dimensional vectors Find the magnitude of a three-dimensional vector find the component form of a three-dimensional vector find a three-dimensional unit vector add and subtract three-dimensional vectors scalar multiples of three-dimensional vectors linear combinations of three-dimensional vectors
21 Sequences and series Find terms of a sequence find terms of a recursive sequence identify a sequence as explicit or recursive find a recursive formula find recursive and explicit formulas convert a recursive formula to an explicit formula convert an explicit formula to a recursive formula convert between explicit and recursive formulas introduction to sigma notation identify arithmetic and geometric series find the sum of a finite arithmetic or geometric series introduction to partial sums partial sums of arithmetic series partial sums of geometric series partial sums: mixed review convergent and divergent geometric series find the value of an infinite geometric series write a repeating decimal as a fraction
22 Probability Introduction to probability calculate probabilities of events combinations and permutations find probabilities using combinations and permutations find probabilities using two-way frequency tables identify independent events find conditional probabilities independence and conditional probability find conditional probabilities using two-way frequency tables find probabilities using the addition rule
23 Probability distributions Identify discrete and continuous random variables write a discrete probability distribution graph a discrete probability distribution expected values of random variables variance of random variables standard deviation of random variables write the probability distribution for a game of chance expected values for a game of chance choose the better bet find probabilities using the binomial distribution mean, variance and standard deviation of binomial distributions find probabilities using the normal distribution i find probabilities using the normal distribution ii find z-values find values of normal variables distributions of sample means the central limit theorem use normal distributions to approximate binomial distributions
24 Statistics Identify biased samples variance and standard deviation identify an outlier identify an outlier and describe the effect of removing it outliers in scatter plots match correlation coefficients to scatter plots calculate correlation coefficients find the equation of a regression line interpret regression lines analyse a regression line of a data set analyse a regression line using statistics of a data set find confidence intervals for population means find confidence intervals for population proportions interpret confidence intervals for population means
25 Introduction to derivatives Average rate of change i average rate of change ii find instantaneous rates of change velocity as a rate of change find values of derivatives using limits find the gradient of a tangent line using limits find equations of tangent lines using limits
26 Derivative rules Sum and difference rules product rule quotient rule power rule i power rule ii chain rule inverse function rule
27 Calculate derivatives Find derivatives of polynomials find derivatives of rational functions find derivatives of trigonometric functions i find derivatives of trigonometric functions ii find derivatives of exponential functions find derivatives of logarithmic functions find derivatives of inverse trigonometric functions find derivatives of radical functions find derivatives using the product rule i find derivatives using the product rule ii find derivatives using the quotient rule i find derivatives using the quotient rule ii find derivatives using the chain rule i find derivatives using the chain rule ii
28 Derivative strategies Find derivatives using implicit differentiation find tangent lines using implicit differentiation find derivatives using logarithmic differentiation
29 Calculate higher derivatives Find higher derivatives of polynomials find higher derivatives of rational and radical functions find second derivatives of trigonometric, exponential and logarithmic functions find higher derivatives using patterns
30 Solve equations Does x satisfy the equation? model and solve equations using algebra tiles write and solve equations that represent diagrams solve one-step linear equations solve two-step linear equations solve advanced linear equations solve equations with variables on both sides solve equations: complete the solution find the number of solutions create equations with no solutions or infinitely many solutions solve linear equations: word problems solve linear equations: mixed review
31 Single-variable inequalities Graph inequalities write inequalities from graphs write and graph inequalities: word problems identify solutions to inequalities solve one-step linear inequalities: addition and subtraction solve one-step linear inequalities: multiplication and division solve one-step linear inequalities graph solutions to one-step linear inequalities solve two-step linear inequalities graph solutions to two-step linear inequalities solve advanced linear inequalities graph solutions to advanced linear inequalities
32 Relations and functions Relations: convert between tables, graphs, mappings and lists of points domain and range of relations identify independent and dependent variables identify functions find values using function graphs evaluate a function complete a function table from a graph complete a function table from an equation interpret the graph of a function: word problems
33 Linear functions Identify linear functions find the gradient of a graph find the gradient from two points find a missing coordinate using gradient find the gradient and y-intercept of a linear equation graph an equation in y=mx+c form write an equation in y=mx+c form from a graph write an equation in y=mx+c form write an equation in y=mx+c form from a table write an equation in y=mx+c form from a word problem write linear functions to solve word problems complete a table and graph a linear function compare linear functions: graphs, tables and equations write equations in standard form standard form: find x- and y-intercepts standard form: graph an equation equations of horizontal and vertical lines graph a horizontal or vertical line point-gradient form: graph an equation point-gradient form: write an equation point-gradient form: write an equation from a graph gradients of parallel and perpendicular lines write an equation for a parallel or perpendicular line find the distance between a point and a line find the distance between two parallel lines transformations of linear functions
34 Exponents Exponents with integer bases exponents with decimal and fractional bases negative exponents multiplication with exponents division with exponents multiplication and division with exponents power rule evaluate expressions using properties of exponents identify equivalent expressions involving exponents
35 Logarithms Convert between exponential and logarithmic form: rational bases evaluate logarithms change of base formula identify properties of logarithms product property of logarithms quotient property of logarithms power property of logarithms properties of logarithms: mixed review evaluate logarithms: mixed review
36 Monomials Identify monomials multiply monomials divide monomials multiply and divide monomials powers of monomials
37 Factorising Hcf of monomials factorise out a monomial factorise quadratics with leading coefficient 1 factorise quadratics with other leading coefficients factorise quadratics: special cases factorise quadratics using algebra tiles factorise by grouping factorise polynomials
38 Quadratic equations Characteristics of quadratic functions complete a function table: quadratic functions transformations of quadratic functions find a quadratic function graph a quadratic function match quadratic functions and graphs solve a quadratic equation using square roots solve a quadratic equation using the zero product property solve a quadratic equation with leading coefficient 1 by factorising solve a quadratic equation with other leading coefficients by factorising complete the square solve a quadratic equation with leading coefficient 1 by completing the square solve a quadratic equation with other leading coefficients by completing the square solve a quadratic equation using the quadratic formula using the discriminant
39 Functions: linear, quadratic, exponential Identify linear, quadratic and exponential functions from graphs identify linear, quadratic and exponential functions from tables write linear, quadratic and exponential functions linear functions over unit intervals exponential functions over unit intervals describe linear and exponential growth and decay
40 Parabolas Identify the direction a parabola opens find the vertex of a parabola find the focus or directrix of a parabola find the axis of symmetry of a parabola write equations of parabolas in vertex form from graphs write equations of parabolas in vertex form using properties convert equations of parabolas from general to vertex form find properties of a parabola from equations in general form graph parabolas
41 Hyperbolas Find the centre of a hyperbola find the vertices of a hyperbola find the length of the transverse or conjugate axes of a hyperbola find the equations for the asymptotes of a hyperbola find the foci of a hyperbola write equations of hyperbolas in standard form from graphs write equations of hyperbolas in standard form using properties convert equations of hyperbolas from general to standard form find properties of hyperbolas from equations in general form
42 Radical expressions Roots of integers roots of rational numbers find roots using a calculator simplify radical expressions simplify radical expressions involving fractions multiply radical expressions add and subtract radical expressions simplify radical expressions using the distributive property simplify radical expressions using conjugates simplify radical expressions: mixed review
43 Two-dimensional figures Classify triangles polygon vocabulary triangle angle-sum theorem perimeter area of triangles and quadrilaterals area and perimeter in the coordinate plane i area and perimeter in the coordinate plane ii area and circumference of circles area of compound figures area between two shapes area and perimeter of similar figures
44 Introduction to congruent figures Congruent intervals congruence statements and corresponding parts solve problems involving corresponding parts identify congruent figures
45 Congruent triangles Sss and sas theorems asa and aas theorems sss, sas, asa and aas theorems sss theorem in the coordinate plane congruency in isosceles and equilateral triangles hypotenuse-leg theorem proving triangles congruent by sss and sas proving triangles congruent by asa and aas proving triangles congruent by sss, sas, asa and aas proofs involving corresponding parts of congruent triangles proofs involving isosceles triangles
46 Similarity Identify similar figures similarity ratios similarity statements side lengths and angle measures in similar figures similar triangles and indirect measurement perimeters of similar figures similarity rules for triangles similar triangles and similarity transformations similarity of circles areas of similar figures proofs involving triangles i proofs involving triangles ii
47 Right triangles Pythagoras' theorem converse of pythagoras' theorem pythagoras' inequality theorems special right triangles
48 Angle measures Quadrants graphs of angles coterminal angles reference angles
49 Surface area and volume Introduction to surface area and volume surface area of prisms and cylinders surface area of pyramids and cones volume of prisms and cylinders volume of pyramids and cones surface area and volume of spheres introduction to similar solids surface area and volume of similar solids surface area and volume review
50 Circles Parts of a circle central angles arc measure and arc length convert between radians and degrees radians and arc length area of sectors circle measurements: mixed review arcs and chords tangent lines perimeter of polygons with an inscribed circle inscribed angles angles in inscribed right triangles angles in inscribed quadrilaterals
51 Circles in the coordinate plane Find the centre of a circle find the radius or diameter of a circle write equations of circles in standard form from graphs write equations of circles in standard form using properties convert equations of circles from general to standard form find properties of circles from equations in general form graph circles
52 Problem solving Consecutive integer problems rate of travel: word problems weighted averages: word problems
53 Data and graphs Interpret histograms create histograms interpret dot plots create dot plots create frequency charts interpret stem-and-leaf plots box plots create scatter plots identify trends with scatter plots make predictions with scatter plots outliers in scatter plots scatter plots: line of best fit
Sr. Topics Sub-Topics
1 Biological sciences Coordinated function of body systems
2 Biological sciences Nervous and endocrine systems
3 Biological sciences Effects on humans of exposure to electromagnetic radiations
4 Biological sciences Predator/prey, parasites,
5 Biological sciences Competitors, pollinators and disease
6 Biological sciences Factors that affect population sizes
7 Chemical sciences Atomic structure
8 Chemical sciences Alpha and beta particles and gamma radiation
9 Chemical sciences Chemical reactions
10 Chemical sciences Word equations
11 Chemical sciences Energy in chemical reactions
12 Chemical sciences Conservation of mass in a chemical reaction
13 Chemical sciences Reactions of acids with metals, bases, and carbonates
14 Chemical sciences Exothermic or endothermic
15 Chemical sciences Combustion and oxidation reactions
16 Chemical sciences Cemical reactions of respiration and photosynthesis
17 Chemical sciences Products of combustion reactions
18 Earth and space sciences Major plates on a world map
19 Earth and space sciences Sea­floor spreading
20 Earth and space sciences Earthquakes and volcanic activity
21 Earth and space sciences Role of heat energy and convection currents
22 Earth and space sciences Australian continent
23 Physical sciences Simple machine such as lever or pulley system
24 Physical sciences Gravity on the surface of earth
Sr. Topics Sub-Topics
1 Punctuation, capitalisation and formatting Commas with direct addresses, introductory words, interjections, interrupters and antithetical phrases
2 Punctuation, capitalisation and formatting Commas with compound and complex sentences
3 Punctuation, capitalisation and formatting Commas with coordinate adjectives
4 Punctuation, capitalisation and formatting What does the punctuation suggest?
5 Punctuation, capitalisation and formatting Commas with nonrestrictive elements
6 Punctuation, capitalisation and formatting Use semicolons and commas to separate clauses
7 Punctuation, capitalisation and formatting Use semicolons, colons and commas with lists
8 Punctuation, capitalisation and formatting Semicolons, colons and commas review
9 Punctuation, capitalisation and formatting Use dashes
10 Punctuation, capitalisation and formatting Use hyphens in compound adjectives
11 Punctuation, capitalisation and formatting Decide whether ellipses are used appropriately
12 Punctuation, capitalisation and formatting Correct capitalisation errors
13 Punctuation, capitalisation and formatting Capitalising titles
14 Punctuation, capitalisation and formatting Formatting titles
15 Punctuation, capitalisation and formatting Formatting and capitalising titles: review
16 Nouns Form and use plurals: review
17 Nouns Form and use plurals of compound nouns
18 Nouns Identify and correct errors with plural and possessive nouns
19 Nouns Identify and correct errors with compound and joint possession
20 Reference skills Use dictionary entries
21 Reference skills Use dictionary definitions
22 Reference skills Use thesaurus entries
23 Sentence structure Identify sentence fragments
24 Sentence structure Identify run-on sentences
25 Sentence structure Choose punctuation to avoid fragments and run-ons
26 Sentence structure Is it a phrase or a clause?
27 Sentence structure Identify prepositional phrases
28 Sentence structure Identify appositives and appositive phrases
29 Sentence structure Identify dependent and independent clauses
30 Sentence structure Is the sentence simple, compound, complex or compound-complex?
31 Sentence structure Combine sentences using relative clauses
32 Pronouns Identify and correct errors with subject and object pronouns
33 Pronouns Subject and object pronouns review
34 Pronouns Pronouns after 'than' and 'as'
35 Pronouns Identify and correct pronoun errors with 'who'
36 Pronouns Use relative pronouns: who and whom
37 Pronouns Use relative pronouns: who, whom, whose, which and that
38 Pronouns Identify vague pronoun references
39 Pronouns Identify all of the possible antecedents
40 Verbs and verbals Identify transitive and intransitive verbs
41 Verbs and verbals Identify linking verbs, predicate adjectives and predicate nouns
42 Verbs and verbals Identify and correct errors with subject-verb agreement
43 Verbs and verbals Identify and correct errors with indefinite pronoun-verb agreement
44 Verbs and verbals Identify and correct verb agreement with compound subjects
45 Verbs and verbals Identify and correct inappropriate shifts in verb tense
46 Verbs and verbals Form the progressive verb tenses
47 Verbs and verbals Form the perfect verb tenses
48 Verbs and verbals Identify participles and what they modify
49 Verbs and verbals Identify gerunds and their functions
50 Verbs and verbals Identify infinitives and infinitive phrases
51 Adjectives and adverbs Form and use comparative and superlative adjectives
52 Adjectives and adverbs Good, better, best, bad, worse and worst
53 Adjectives and adverbs Form and use comparative and superlative adverbs
54 Adjectives and adverbs Well, better, best, badly, worse and worst
55 Punctuation and capitalisation Commas with direct addresses, introductory elements, absolute phrases, interjections, interrupters and antithetical phrases
56 Punctuation and capitalisation Commas with compound, complex and compound-complex sentences
57 Punctuation and capitalisation Commas with coordinate adjectives
58 Punctuation and capitalisation Commas: review
59 Punctuation and capitalisation What does the punctuation suggest?
60 Punctuation and capitalisation Commas with nonrestrictive elements
61 Punctuation and capitalisation Join sentences with semicolons, colons and commas
62 Punctuation and capitalisation Use colons and commas to introduce lists, quotations and appositives
63 Punctuation and capitalisation Use semicolons and commas to separate items in a series
64 Punctuation and capitalisation Semicolons, colons and commas review
65 Punctuation and capitalisation Identify and correct errors with plural and possessive nouns
66 Punctuation and capitalisation Identify and correct errors with compound and joint possession
67 Punctuation and capitalisation Use dashes
68 Punctuation and capitalisation Use hyphens in compound adjectives
69 Punctuation and capitalisation Decide whether ellipses are used appropriately
70 Punctuation and capitalisation Correct capitalisation errors
71 Prefixes and suffixes Word pattern analogies
72 Prefixes and suffixes Word pattern sentences
73 Prefixes and suffixes Prefixes
74 Prefixes and suffixes Suffixes
75 Etymologies and foreign expressions Sort words by shared greek or latin roots
76 Etymologies and foreign expressions Use greek and latin roots as clues to the meanings of words
77 Etymologies and foreign expressions Use words as clues to the meanings of greek and latin roots
78 Etymologies and foreign expressions Determine the meanings of greek and latin roots
79 Etymologies and foreign expressions Determine the meanings of words with greek and latin roots
80 Etymologies and foreign expressions Use etymologies to determine the meanings of words
81 Etymologies and foreign expressions Use context as a clue to the meanings of foreign expressions
82 Etymologies and foreign expressions Use the correct foreign expression
83 Word choice and usage Describe the difference between related words
84 Word choice and usage Choose the word whose connotation and denotation best match the sentence
85 Word choice and usage Use words accurately and precisely
86 Word choice and usage Replace words using a thesaurus
87 Word choice and usage Use dictionary entries to determine correct usage
88 Word choice and usage Explore words with new or contested usages
89 Word choice and usage Analogies
90 Word choice and usage Analogies: challenge
91 Context clues Determine the meaning of words using synonyms in context
92 Context clues Determine the meaning of words using antonyms in context
93 Context clues Domain-specific vocabulary in context: science and technical subjects
94 Writing clear and concise sentences Transitions with conjunctive adverbs
95 Writing clear and concise sentences Avoid double, illogical and unclear comparisons
96 Writing clear and concise sentences Identify sentences with parallel structure
97 Writing clear and concise sentences Use parallel structure
98 Writing clear and concise sentences Remove redundant words or phrases
99 Writing clear and concise sentences Misplaced modifiers with pictures
100 Writing clear and concise sentences Select the misplaced or dangling modifier
101 Writing clear and concise sentences Are the modifiers used correctly?
102 Common errors Use the correct homophone
103 Common errors Identify and correct errors with homophones
104 Common errors Use the correct frequently confused word
105 Common errors Identify and correct errors with frequently confused words
106 Common errors Identify and correct errors with frequently confused pronouns and contractions
107 Common errors Correct errors with commonly misspelled words
108 Common errors Correct errors in everyday use
109 Writing process Order topics from broadest to narrowest
110 Writing process Organise information by main idea
111 Writing process Choose the topic sentence that best captures the main idea
112 Writing process Identify plagiarism
113 Writing process Suggest appropriate revisions
114 Writing arguments Distinguish facts from opinions
115 Writing arguments Choose evidence to support a claim
116 Writing arguments Identify supporting evidence in a text
117 Writing arguments Choose the most appropriate counterclaim for a given claim
118 Writing arguments Choose the analysis that logically connects the evidence to the claim
119 Author's purpose and tone Which text is most formal?
120 Author's purpose and tone Compare passages for tone
121 Author's purpose and tone Identify audience and purpose
122 Author's purpose and tone Identify appeals to ethos, pathos and logos in advertisements
123 Author's purpose and tone Use appeals to ethos, pathos and logos in persuasive writing
124 Literary devices Identify the narrative point of view
125 Literary devices Interpret the meaning of an allusion from its source
126 Literary devices Recall the source of an allusion
127 Literary devices Interpret the figure of speech
128 Literary devices Classify the figure of speech: euphemism, hyperbole, oxymoron, paradox
129 Literary devices Classify the figure of speech: anaphora, antithesis, apostrophe, assonance, chiasmus, understatement
130 Literary devices Classify the figure of speech: review
131 Literary devices Analyse the effects of figures of speech on meaning and tone
Sr. Topics Sub-Topics
1 Functions Domain and range identify functions find the gradient of a linear function graph a linear function write the equation of a linear function linear functions over unit intervals complete a function table: absolute value functions graph an absolute value function evaluate functions find values using function graphs complete a table for a function graph add, subtract, multiply and divide functions composition of functions identify inverse functions find values of inverse functions from tables find values of inverse functions from graphs find inverse functions and relations
2 Families of functions Translations of functions reflections of functions dilations of functions transformations of functions function transformation rules describe function transformations
3 Quadratic functions Characteristics of quadratic functions find the maximum or minimum value of a quadratic function graph a quadratic function match quadratic functions and graphs solve a quadratic equation using square roots solve a quadratic equation by factorising solve a quadratic equation by completing the square solve a quadratic equation using the quadratic formula using the discriminant
4 Polynomials Divide polynomials using long division divide polynomials using synthetic division evaluate polynomials using synthetic division write a polynomial from its roots find the roots of factorised polynomials rational root theorem complex conjugate theorem conjugate root theorems descartes' rule of signs fundamental theorem of algebra match polynomials and graphs factorise sums and differences of cubes solve equations with sums and differences of cubes factorise using a quadratic pattern solve equations using a quadratic pattern pascal's triangle pascal's triangle and the binomial theorem binomial theorem i binomial theorem ii
5 Rational functions Rational functions: asymptotes and excluded values solve rational equations check whether two rational functions are inverses
6 Exponential and logarithmic functions Domain and range of exponential and logarithmic functions convert between exponential and logarithmic form evaluate logarithms change of base formula product property of logarithms quotient property of logarithms power property of logarithms evaluate logarithms using properties solve exponential equations by factorising solve exponential equations using logarithms solve logarithmic equations with one logarithm solve logarithmic equations with multiple logarithms identify linear and exponential functions exponential functions over unit intervals describe linear and exponential growth and decay exponential growth and decay: word problems compound interest: word problems
7 Radical functions "domain and range of radical functions solve radical equations" domain and range of radical functions solve radical equations
8 Roots and rational exponents Roots of integers roots of rational numbers find roots using a calculator evaluate rational exponents operations with rational exponents nth roots simplify radical expressions with variables simplify expressions involving rational exponents
9 Simultaneous equations Solve simultaneous equations by graphing solve simultaneous equations by graphing: word problems classify simultaneous equations solve simultaneous equations using substitution solve simultaneous equations using substitution: word problems solve simultaneous equations using elimination solve simultaneous equations using elimination: word problems solve simultaneous equations in three variables using substitution solve simultaneous equations in three variables using elimination determine the number of solutions to simultaneous equations in three variables
10 Inequalities and linear programming Solve systems of inequalities by graphing find the vertices of a solution set linear programming graph solutions to quadratic inequalities solve quadratic inequalities graph solutions to higher-degree inequalities solve higher-degree inequalities
11 Matrices Matrix vocabulary matrix operation rules add and subtract matrices multiply a matrix by a scalar linear combinations of matrices multiply two matrices simplify matrix expressions solve matrix equations determinant of a matrix is a matrix invertible? inverse of a matrix identify inverse matrices solve matrix equations using inverses identify transformation matrices transformation matrices: write the vertex matrix transformation matrices: graph the image
12 Trigonometry Convert between radians and degrees radians and arc length quadrants coterminal and reference angles find trigonometric ratios using right triangles find trigonometric ratios using the unit circle find trigonometric ratios using reference angles inverses of trigonometric functions solve trigonometric equations trigonometric ratios: find a side length trigonometric ratios: find an angle measure solve a right triangle law of sines law of cosines solve a triangle area of a triangle: sine formula area of a triangle: heron's formula
13 Trigonometric functions Find properties of sine functions write equations of sine functions from graphs write equations of sine functions using properties graph sine functions find properties of cosine functions write equations of cosine functions from graphs write equations of cosine functions using properties graph cosine functions graph sine and cosine functions
14 Trigonometric identities Complementary angle identities symmetry and periodicity of trigonometric functions trigonometric identities i trigonometric identities ii
15 Conic sections Find properties of parabolas write equations of parabolas in vertex form graph parabolas find properties of circles write equations of circles in standard form graph circles find properties of ellipses find the eccentricity of an ellipse write equations of ellipses in standard form find properties of hyperbolas find the eccentricity of a hyperbola write equations of hyperbolas in standard form convert equations of conic sections from general to standard form
16 Complex numbers Add and subtract complex numbers complex conjugates multiply and divide complex numbers add, subtract, multiply and divide complex numbers absolute values of complex numbers powers of i
17 Complex plane Introduction to the complex plane graph complex numbers addition in the complex plane subtraction in the complex plane graph complex conjugates absolute value in the complex plane midpoints in the complex plane distance in the complex plane
18 Polar form Find the modulus and argument of a complex number convert complex numbers from rectangular to polar form convert complex numbers from polar to rectangular form convert complex numbers between rectangular and polar form match polar equations and graphs
19 Two-dimensional vectors Find the magnitude of a vector find the direction angle of a vector find the component form of a vector find the component form of a vector from its magnitude and direction angle find a unit vector add and subtract vectors multiply a vector by a scalar find the magnitude or direction of a vector scalar multiple find the magnitude and direction of a vector sum linear combinations of vectors graph a resultant vector using the triangle method graph a resultant vector using the parallelogram method
20 Three-dimensional vectors Find the magnitude of a three-dimensional vector find the component form of a three-dimensional vector find a three-dimensional unit vector add and subtract three-dimensional vectors scalar multiples of three-dimensional vectors linear combinations of three-dimensional vectors
21 Sequences and series Find terms of a sequence find terms of a recursive sequence identify a sequence as explicit or recursive find a recursive formula find recursive and explicit formulas convert a recursive formula to an explicit formula convert an explicit formula to a recursive formula convert between explicit and recursive formulas introduction to sigma notation identify arithmetic and geometric series find the sum of a finite arithmetic or geometric series introduction to partial sums partial sums of arithmetic series partial sums of geometric series partial sums: mixed review convergent and divergent geometric series find the value of an infinite geometric series write a repeating decimal as a fraction
22 Probability Introduction to probability calculate probabilities of events combinations and permutations find probabilities using combinations and permutations find probabilities using two-way frequency tables identify independent events find conditional probabilities independence and conditional probability find conditional probabilities using two-way frequency tables find probabilities using the addition rule
23 Probability distributions Identify discrete and continuous random variables write a discrete probability distribution graph a discrete probability distribution expected values of random variables variance of random variables standard deviation of random variables write the probability distribution for a game of chance expected values for a game of chance choose the better bet find probabilities using the binomial distribution mean, variance and standard deviation of binomial distributions find probabilities using the normal distribution i find probabilities using the normal distribution ii find z-values find values of normal variables distributions of sample means the central limit theorem use normal distributions to approximate binomial distributions
24 Statistics Identify biased samples variance and standard deviation identify an outlier identify an outlier and describe the effect of removing it outliers in scatter plots match correlation coefficients to scatter plots calculate correlation coefficients find the equation of a regression line interpret regression lines analyse a regression line of a data set analyse a regression line using statistics of a data set find confidence intervals for population means find confidence intervals for population proportions interpret confidence intervals for population means
25 Introduction to derivatives Average rate of change i average rate of change ii find instantaneous rates of change velocity as a rate of change find values of derivatives using limits find the gradient of a tangent line using limits find equations of tangent lines using limits
26 Derivative rules Sum and difference rules product rule quotient rule power rule i power rule ii chain rule inverse function rule
27 Calculate derivatives Find derivatives of polynomials find derivatives of rational functions find derivatives of trigonometric functions i find derivatives of trigonometric functions ii find derivatives of exponential functions find derivatives of logarithmic functions find derivatives of inverse trigonometric functions find derivatives of radical functions find derivatives using the product rule i find derivatives using the product rule ii find derivatives using the quotient rule i find derivatives using the quotient rule ii find derivatives using the chain rule i find derivatives using the chain rule ii
28 Derivative strategies Find derivatives using implicit differentiation find tangent lines using implicit differentiation find derivatives using logarithmic differentiation
29 Calculate higher derivatives Find higher derivatives of polynomials find higher derivatives of rational and radical functions find second derivatives of trigonometric, exponential and logarithmic functions find higher derivatives using patterns
30 Solve equations Does x satisfy the equation? model and solve equations using algebra tiles write and solve equations that represent diagrams solve one-step linear equations solve two-step linear equations solve advanced linear equations solve equations with variables on both sides solve equations: complete the solution find the number of solutions create equations with no solutions or infinitely many solutions solve linear equations: word problems solve linear equations: mixed review
31 Single-variable inequalities Graph inequalities write inequalities from graphs write and graph inequalities: word problems identify solutions to inequalities solve one-step linear inequalities: addition and subtraction solve one-step linear inequalities: multiplication and division solve one-step linear inequalities graph solutions to one-step linear inequalities solve two-step linear inequalities graph solutions to two-step linear inequalities solve advanced linear inequalities graph solutions to advanced linear inequalities
32 Relations and functions Relations: convert between tables, graphs, mappings and lists of points domain and range of relations identify independent and dependent variables identify functions find values using function graphs evaluate a function complete a function table from a graph complete a function table from an equation interpret the graph of a function: word problems
33 Linear functions Identify linear functions find the gradient of a graph find the gradient from two points find a missing coordinate using gradient find the gradient and y-intercept of a linear equation graph an equation in y=mx+c form write an equation in y=mx+c form from a graph write an equation in y=mx+c form write an equation in y=mx+c form from a table write an equation in y=mx+c form from a word problem write linear functions to solve word problems complete a table and graph a linear function compare linear functions: graphs, tables and equations write equations in standard form standard form: find x- and y-intercepts standard form: graph an equation equations of horizontal and vertical lines graph a horizontal or vertical line point-gradient form: graph an equation point-gradient form: write an equation point-gradient form: write an equation from a graph gradients of parallel and perpendicular lines write an equation for a parallel or perpendicular line find the distance between a point and a line find the distance between two parallel lines transformations of linear functions
34 Exponents Exponents with integer bases exponents with decimal and fractional bases negative exponents multiplication with exponents division with exponents multiplication and division with exponents power rule evaluate expressions using properties of exponents identify equivalent expressions involving exponents
35 Logarithms Convert between exponential and logarithmic form: rational bases evaluate logarithms change of base formula identify properties of logarithms product property of logarithms quotient property of logarithms power property of logarithms properties of logarithms: mixed review evaluate logarithms: mixed review
36 Monomials Identify monomials multiply monomials divide monomials multiply and divide monomials powers of monomials
37 Factorising Hcf of monomials factorise out a monomial factorise quadratics with leading coefficient 1 factorise quadratics with other leading coefficients factorise quadratics: special cases factorise quadratics using algebra tiles factorise by grouping factorise polynomials
38 Quadratic equations Characteristics of quadratic functions complete a function table: quadratic functions transformations of quadratic functions find a quadratic function graph a quadratic function match quadratic functions and graphs solve a quadratic equation using square roots solve a quadratic equation using the zero product property solve a quadratic equation with leading coefficient 1 by factorising solve a quadratic equation with other leading coefficients by factorising complete the square solve a quadratic equation with leading coefficient 1 by completing the square solve a quadratic equation with other leading coefficients by completing the square solve a quadratic equation using the quadratic formula using the discriminant
39 Functions: linear, quadratic, exponential Identify linear, quadratic and exponential functions from graphs identify linear, quadratic and exponential functions from tables write linear, quadratic and exponential functions linear functions over unit intervals exponential functions over unit intervals describe linear and exponential growth and decay
40 Parabolas Identify the direction a parabola opens find the vertex of a parabola find the focus or directrix of a parabola find the axis of symmetry of a parabola write equations of parabolas in vertex form from graphs write equations of parabolas in vertex form using properties convert equations of parabolas from general to vertex form find properties of a parabola from equations in general form graph parabolas
41 Hyperbolas Find the centre of a hyperbola find the vertices of a hyperbola find the length of the transverse or conjugate axes of a hyperbola find the equations for the asymptotes of a hyperbola find the foci of a hyperbola write equations of hyperbolas in standard form from graphs write equations of hyperbolas in standard form using properties convert equations of hyperbolas from general to standard form find properties of hyperbolas from equations in general form
42 Radical expressions Roots of integers roots of rational numbers find roots using a calculator simplify radical expressions simplify radical expressions involving fractions multiply radical expressions add and subtract radical expressions simplify radical expressions using the distributive property simplify radical expressions using conjugates simplify radical expressions: mixed review
43 Two-dimensional figures Classify triangles polygon vocabulary triangle angle-sum theorem perimeter area of triangles and quadrilaterals area and perimeter in the coordinate plane i area and perimeter in the coordinate plane ii area and circumference of circles area of compound figures area between two shapes area and perimeter of similar figures
44 Introduction to congruent figures Congruent intervals congruence statements and corresponding parts solve problems involving corresponding parts identify congruent figures
45 Congruent triangles Sss and sas theorems asa and aas theorems sss, sas, asa and aas theorems sss theorem in the coordinate plane congruency in isosceles and equilateral triangles hypotenuse-leg theorem proving triangles congruent by sss and sas proving triangles congruent by asa and aas proving triangles congruent by sss, sas, asa and aas proofs involving corresponding parts of congruent triangles proofs involving isosceles triangles
46 Similarity Identify similar figures similarity ratios similarity statements side lengths and angle measures in similar figures similar triangles and indirect measurement perimeters of similar figures similarity rules for triangles similar triangles and similarity transformations similarity of circles areas of similar figures proofs involving triangles i proofs involving triangles ii
47 Right triangles Pythagoras' theorem converse of pythagoras' theorem pythagoras' inequality theorems special right triangles
48 Angle measures Quadrants graphs of angles coterminal angles reference angles
49 Surface area and volume Introduction to surface area and volume surface area of prisms and cylinders surface area of pyramids and cones volume of prisms and cylinders volume of pyramids and cones surface area and volume of spheres introduction to similar solids surface area and volume of similar solids surface area and volume review
50 Circles Parts of a circle central angles arc measure and arc length convert between radians and degrees radians and arc length area of sectors circle measurements: mixed review arcs and chords tangent lines perimeter of polygons with an inscribed circle inscribed angles angles in inscribed right triangles angles in inscribed quadrilaterals
51 Circles in the coordinate plane Find the centre of a circle find the radius or diameter of a circle write equations of circles in standard form from graphs write equations of circles in standard form using properties convert equations of circles from general to standard form find properties of circles from equations in general form graph circles
52 Problem solving Consecutive integer problems rate of travel: word problems weighted averages: word problems
53 Data and graphs Interpret histograms create histograms interpret dot plots create dot plots create frequency charts interpret stem-and-leaf plots box plots create scatter plots identify trends with scatter plots make predictions with scatter plots outliers in scatter plots scatter plots: line of best fit
Sr. Topics Sub-Topics
1 Biological sciences Role of dna as the blueprint
2 Biological sciences Relationship between dna, genes and chromosomes
3 Biological sciences Meiosis and fertilisation
4 Biological sc