Welcome to TutorEye: Canada!

We offer instant online tutoring & homework help services to students at the most affordable prices.

Looking for a tutoring support online in Canada?

We’re here to help students in Canada find the right learning support, the right way.TutorEye Canada provide online tutoring support to students of different grades & age groups. We have subject matter experts in each field to help students learn and score good grades in school.

TutorEye is an online tutoring platform designed for students looking for instant help with their school curriculum. We provide options to our students and parents to browse our tutors before choosing one to learn from. Our platform also offers free learning style assessment by which we can understand a child’s learning preference and style and show the best available tutors!

Why choose online tutoring from us?

Because you can start learning by simply signing up and taking our trial class. That’s not all You can learn effectively by knowing your learning style. Take a free VARK quiz and share the results with our tutors. If you Don’t click with your tutor? Don’t worry! We’ll help match you with a new one and you don’t have to pay for that class.

Checkout our Canadian student success stories

TutorEye Canada is for everyone

Primary (Elementary) Students

Primary education is generally for kids 5 to 12 years old. This usually includes preschool (optional), kindergarten and then grade 1 to 6. Research indicates that well-designed tutoring programs that use volunteers and other nonprofessionals as tutors can be effective in improving children's reading skills. Students with below-average reading skills who are tutored by volunteers show significant gains in reading skills when compared with similar students who do not receive tutoring from a quality tutoring program.

Therefore, we at TutorEye recommend that parents shouldn’t wait for the child to show signs like falling behind in class, looking interest from studies etc. to look for after school tutoring programs. Proactively engaging your child in a afterschool tutoring program can help keep up the self-confidence, motivation, and good behavior towards others.

Sr. Topics Sub-Topics
1 The numbers 1 to 5 The numbers 1 to 5
2 Basic mathematics part 1 The numbers 6 to 9
3 Basic mathematics part 1 Ordinal numbers 1-9
4 Basic mathematics part 1 Zero and the counting numbers 1 to 9
5 Basic mathematics part 1 The number 10
6 Basic mathematics part 1 The numbers 11 to 20
7 Basic mathematics part 1 The numbers 20 to 99
8 Basic mathematics part 1 Using place value to order numbers up to 20
9 Basic mathematics part 1 Simple addition up to the number 10
10 Basic mathematics part 1 Simple addition up to the number 20
11 Basic mathematics part 1 Subtraction up to the number 10
12 Basic mathematics part 1 Subtraction: by comparison
13 Basic mathematics part 1 Subtraction up to the number 20
14 Time Days of the week
15 Time Duration
16 Time Months and seasons of the year
17 Time O’clock and half past using digital time
18 Time O’clock and half past on the analogue clock
19 Measurement – length Compare length by using informal units of measurement
20 Measurement – mass Introducing the concept of mass
21 Graphs – basic Picture graphs
Sr. Topics Sub-Topics
1 Life systems Needs and characteristics of living things
2 Life systems Growth and changes in animals
3 Life systems Growth and changes in plants
4 Life systems Habitats and communities
5 Life systems Human organ systems
6 Structures and mechanisms Materials, objects, and everyday structures
7 Structures and mechanisms Movement
8 Structures and mechanisms Strong and stable structures
9 Structures and mechanisms Pulleys and gears
10 Structures and mechanisms Forces acting on structures and mechanisms
11 Matter and energy Energy in our lives
12 Matter and energy Properties of liquids and solids
13 Matter and energy Light and sound
14 Matter and energy Properties of and changes in matter
15 Earth and space systems Daily and seasonal changes
16 Earth and space systems Air and water in the environment
17 Earth and space systems Soils in the environmen
18 Earth and space systems Rocks and minerals
19 Earth and space systems Conservation of energy and resources
Sr. Topics Sub-Topics
1 Hello! how are you? Hello! i’m lulu.
2 Hello! how are you? My name is jack!
3 Eight purple stars! Ten little pandas full lesson available
4 Eight purple stars! What colour is it?
5 Fun at school This is my father and mother.
6 What’s this? It’s my green eraser!
7 What’s this? What’s in the box?
8 A new boy at school A letter from peter
9 A new boy at school Where’s my dog?
10 My family Where’s the red kite?
11 My family My family tree
12 About people That’s his cow!
13 About people These are my feet.
14 Animal mania! What animal is that? full lesson available
15 Animal mania! A very tall giraffe
16 We like to play games. Holidays!
17 We like to play games. What’s your favourite? full lesson available
18 Do you like hamburgers? At a café
19 Do you like hamburgers? This is bobby.
20 It’s time to learn your a b c! It’s time!
21 It’s time to learn how to tell the time! No school! it’s sunday!
22 It’s time to learn how to tell the time! Where are my clothes?
23 Sentences The sentence
Sr. Topics Sub-Topics
1 Basic mathematics part 1 The numbers 20 to 99
2 Basic mathematics part 1 The number 100
3 Basic mathematics part 1 Addition up to the number 99
4 Basic mathematics part 1 Multiples of 10 up to 100
5 Basic mathematics part 1 Subtraction up to the number 20
6 Basic mathematics part 1 Multiplication using equal groups
7 Basic mathematics part 1 Multiplication using repeated addition
8 Basic mathematics part 1 The multiplication sign
9 Basic mathematics part 1 Multiplication with important facts
10 Basic mathematics part 1 Strategies for division
11 Basic mathematics part 2 Solve and record division using known facts and sharing
12 Fractions Using fractions 1/2, 1/4, 1/8 to describe part of a whole
13 Time Days of the week
14 Time Duration
15 Time Months and seasons of the year
16 Time O’clock and half past using digital time
17 Time O’clock and half past on the analogue clock
18 Time Quarter past and quarter to
19 Measurement – length Compare length by using informal units of measurement
20 Measurement – length Using the metre as a formal unit to measure perimeter
21 Measurement – length Using the formal unit of the centimetre to measure length and perimeter
22 Measurement – mass Introducing the concept of mass
23 Measurement – advanced area Comparing and ordering areas
24 Space Using the prefix to determine polygons
25 Space Spatial properties of quadrilaterals
26 Space Recognise and name prisms according to spatial properties
27 Graphs – basic Picture graphs
28 Graphs – basic Column graphs
29 Graphs – basic Line graphs
30 Graphs – basic Pie and bar graphs
Sr. Topics Sub-Topics
1 Life systems Needs and characteristics of living things
2 Life systems Growth and changes in animals
3 Life systems Growth and changes in plants
4 Life systems Habitats and communities
5 Life systems Human organ systems
6 Structures and mechanisms Materials, objects, and everyday structures
7 Structures and mechanisms Movement
8 Structures and mechanisms Strong and stable structures
9 Structures and mechanisms Pulleys and gears
10 Structures and mechanisms Forces acting on structures and mechanisms
11 Matter and energy Energy in our lives
12 Matter and energy Properties of liquids and solids
13 Matter and energy Light and sound
14 Matter and energy Properties of and changes in matter
15 Earth and space systems Daily and seasonal changes
16 Earth and space systems Air and water in the environment
17 Earth and space systems Soils in the environmen
18 Earth and space systems Rocks and minerals
19 Earth and space systems Conservation of energy and resources
Sr. Topics Sub-Topics
1 It’s time to learn how to tell the time! Where are my clothes?
2 School and play I have lots of subjects! full lesson available
3 School and play On the weekend
4 It’s christmas time! It’s time for maths!
5 It’s christmas time! Festivals are fun!
6 I walk in the summer. The seasons
7 I walk in the summer. How do you go to school?
8 What’s the weather like today? It’s a sunny day!
9 What are you doing now? Shhhh! dad is sleeping!
10 What are you doing now? We are having a picnic!
11 They’re usually in the lounge room. Hide and seek
12 They’re usually in the lounge room. An unusual day
13 Left! right! let’s go! Where’s the shop?
14 Left! right! let’s go! Ladies and gentlemen!
15 Up, down and around we go! Roller-coaster ride
16 Up, down and around we go! Catch that car!
17 Sentences The sentence
18 Spelling Spelling
19 Capitalisation Capital letters 1
20 Vowels and consonants Vowels and consonants
21 Common nouns Common nouns
22 Punctuation Sentence endings
23 Verbs Simple verbs
Sr. Topics Sub-Topics
1 Basic mathematics part 1 The number 100
2 Basic mathematics part 1 The numbers 100 to 999
3 Basic mathematics part 1 Addition up to the number 99
4 Basic mathematics part 1 Subtraction with word problems
5 Basic mathematics part 1 Subtraction up to the number 99
6 Basic mathematics part 1 Subtraction with trading
7 Basic mathematics part 1 Multiplication using equal groups
8 Basic mathematics part 1 Multiplication using repeated addition
9 Basic mathematics part 1 The multiplication sign
10 Basic mathematics part 1 Multiplication with important facts
11 Long multiplication Multiplying 2-digit numbers by multiples of 10
12 Basic mathematics part 2 Multiples and factors of whole numbers
13 Basic mathematics part 1 Strategies for division
14 Basic mathematics part 2 Solve and record division using known facts and sharing
15 Basic mathematics part 2 Division with and without a remainder
16 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
17 Fractions Using fractions 1/2, 1/4, 1/8 to describe part of a whole
18 Fractions Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
19 Fractions Fractions 1/5, 1/10, 1/100
20 Fractions Comparing and ordering fractions
21 Time O’clock and half past using digital time
22 Time O’clock and half past on the analogue clock
23 Time Analogue – telling time – minutes in the hour
24 Time Quarter past and quarter to
25 Time Units of time
26 Time Am and pm time
27 Time Telling the time – minutes past the hour
28 Time Telling the time – minutes to the hour
29 Time Relating analogue and digital time
30 Measurement – length Compare length by using informal units of measurement
31 Measurement – length Using the metre as a formal unit to measure perimeter
32 Measurement – length Using the formal unit of the centimetre to measure length and perimeter
33 Measurement – length Read and calculate distances on a map using the formal unit kilometre
34 Measurement – length Compare and convert formal units of measurement
35 Measurement – area Introduction to the square centimetre
36 Measurement – capacity Converting between volume and capacity using milliliters and liters
37 Measurement – mass Introducing the concept of mass
38 Measurement – mass The kilogram
39 Measurement – mass The gram
40 Measurement – advanced area Comparing and ordering areas
41 Measurement – capacity The relationship between the common units of capacity: the litre and the millilitre
42 Space Using the prefix to determine polygons
43 Space Spatial properties of quadrilaterals
44 Space Recognise and name prisms according to spatial properties
45 Space Recognise and name pyramids according to spatial properties
46 Space Position
47 Space Mapping
48 Graphs – basic Picture graphs
49 Graphs – basic Column graphs
50 Graphs – basic Line graphs
51 Graphs – basic Pie and bar graphs
Sr. Topics Sub-Topics
1 Life systems Needs and characteristics of living things
2 Life systems Growth and changes in animals
3 Life systems Growth and changes in plants
4 Life systems Habitats and communities
5 Life systems Human organ systems
6 Structures and mechanisms Materials, objects, and everyday structures
7 Structures and mechanisms Movement
8 Structures and mechanisms Strong and stable structures
9 Structures and mechanisms Pulleys and gears
10 Structures and mechanisms Forces acting on structures and mechanisms
11 Matter and energy Energy in our lives
12 Matter and energy Properties of liquids and solids
13 Matter and energy Light and sound
14 Matter and energy Properties of and changes in matter
15 Earth and space systems Daily and seasonal changes
16 Earth and space systems Air and water in the environment
17 Earth and space systems Soils in the environmen
18 Earth and space systems Rocks and minerals
19 Earth and space systems Conservation of energy and resources
Sr. Topics Sub-Topics
1 We’re very busy. Fast food
2 We’re very busy. On the farm full lesson available
3 I can’t do that! This is a great park!
4 I can’t do that! I can speak english!
5 Can i look at your new kite? Can i help you?
6 Oh, no! not the doctor! Doctor, what have i got?
7 Oh, no! not the doctor! There is a zoo in sydney!
8 It’s all in the future! One world, one dream
9 It’s all in the future! You are going to have a great time!
10 Maybe she’ll be funny! My animal friends are wonderful!
11 Maybe she’ll be funny! What will fido do next?
12 First we’ll see a big city. Sydney: it’s special!
13 First we’ll see a big city. Then we’ll eat it!
14 We need to take a metal pan. What’s it made of? full lesson available
15 We need to take a metal pan. They want to go camping.
16 First we’ll go to the eighth floor. Let’s make pancakes!
17 First we’ll go to the eighth floor. Who’s shopping at sunsets?
18 On monday i’ll buy new jeans. Whose shoes?
19 On monday i’ll buy new jeans. Chen’s holiday plans
20 Sentences The sentence
21 Spelling Spelling
22 Capitalisation Capital letters 1
23 Vowels and consonants Vowels and consonants
24 Common nouns Common nouns
25 Punctuation Sentence endings
26 Verbs Simple verbs
27 Vowels Vowels – long and short
28 Plurals Plurals 1 – simple
29 Basic dictionary use Basic dictionary use
30 Nouns Proper nouns
31 Adjectives Adjectives
32 Adverbs Adverbs
33 Pronouns Pronouns
34 Parts of speech part b Conjunctions
35 Common errors Common errors in spelling and punctuation
36 Punctuation Commas 1
37 Contractions Contractions
38 Other places and other times A new penfriend
39 Other places and other times Will we have robots?
40 It was different yesterday. We all change.
Sr. Topics Sub-Topics
1 Time Relating analogue and digital time
2 Measurement – length Using the metre as a formal unit to measure perimeter
3 Measurement – length Using the formal unit of the centimetre to measure length and perimeter
4 Measurement – length Read and calculate distances on a map using the formal unit kilometre
5 Measurement – length Compare and convert formal units of measurement
6 Measurement – area Introduction to the square centimetre
7 Measurement – advanced area Comparing and ordering areas
8 Measurement – capacity Converting between volume and capacity using milliliters and liters
9 Measurement – mass Introducing the concept of mass
10 Measurement – mass The kilogram
11 Measurement – mass The gram
12 Measurement – capacity Using the cubic cm and displacement to measure volume and capacity
13 Measurement – capacity Using the cubic cm as a standard unit of measurement for volume and capacity
14 Measurement – capacity The relationship between the common units of capacity: the litre and the millilitre
15 Measurement – capacity Converting between volume and capacity using kiloliters and liters
16 Measurement – capacity Estimate, measure and compare the capacity of containers
17 Graphs – basic Column graphs
18 Graphs – basic Line graphs
19 Graphs – basic Pie and bar graphs
20 Space Using the prefix to determine polygons
21 Space Spatial properties of quadrilaterals
22 Space Recognise and name prisms according to spatial properties
23 Space Recognise and name pyramids according to spatial properties
24 Space Position
25 Space Mapping
26 Probability Simple events
Sr. Topics Sub-Topics
1 Life systems Needs and characteristics of living things
2 Life systems Growth and changes in animals
3 Life systems Growth and changes in plants
4 Life systems Habitats and communities
5 Life systems Human organ systems
6 Structures and mechanisms Materials, objects, and everyday structures
7 Structures and mechanisms Movement
8 Structures and mechanisms Strong and stable structures
9 Structures and mechanisms Pulleys and gears
10 Structures and mechanisms Forces acting on structures and mechanisms
11 Matter and energy Energy in our lives
12 Matter and energy Properties of liquids and solids
13 Matter and energy Light and sound
14 Matter and energy Properties of and changes in matter
15 Earth and space systems Daily and seasonal changes
16 Earth and space systems Air and water in the environment
17 Earth and space systems Soils in the environmen
18 Earth and space systems Rocks and minerals
19 Earth and space systems Conservation of energy and resources
Sr. Topics Sub-Topics
1 It was different yesterday. Kate worked hard!
2 We learned about another culture. Guess who we met today!
3 We learned about another culture. How the world was made!
4 They won! Australian boy wins!
5 They won! Always be honest!
6 There was an accident! A police report
7 There was an accident! I feel sick!
8 Let’s compare! A maths lesson
9 Let’s compare! Be careful! they’re dangerous!
10 A new cd player The perfect cd player
11 A new cd player Which do you prefer?
12 That’s a great idea! A visit to the art gallery
13 That’s a great idea! That’s a great idea!
14 Let’s find out! About the stars
15 Let’s find out! Two great countries
16 The most beautiful planet This is my country. full lesson available
17 The most beautiful planet When the rain stops!
18 Capitalisation Capital letters 1
19 Common nouns Common nouns
20 Punctuation Sentence endings
21 Verbs Simple verbs
22 Vowels Vowels – long and short
23 Plurals Plurals 1 – simple
24 Basic dictionary use Basic dictionary use
25 Nouns Proper nouns
26 Adjectives Adjectives
27 Adverbs Adverbs
28 Pronouns Pronouns
29 Parts of speech part b Conjunctions
30 Punctuation Commas 1
31 Contractions Contractions
32 There weren’t many … There weren’t any flowers!
33 There weren’t many … A shopping list
34 It couldn’t be mine! Uncle bill said we could!
35 It couldn’t be mine! The riding lesson
36 Clean up australia! Too much rubbish!
37 Clean up australia! Sports report
38 Friends all over the world Now i can do it by myself.
39 Friends all over the world A letter to a pen pal
40 What’s the problem? What’s the matter?
Sr. Topics Sub-Topics
1 Basic mathematics part 2 The numbers 10 000 to 99 999
2 Basic mathematics part 2 Addition up to the number 999
3 Basic mathematics part 2 Addition to 9999 and beyond
4 Basic mathematics part 2 Subtraction up to the number 999
5 Basic mathematics part 2 Subtraction involving four-digit numbers and beyond
6 Long multiplication Multiplying 2-digit numbers by multiples of 10
7 Long multiplication Multiplying 3 and 4-digit numbers by multiples of 100
8 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
9 Basic mathematics part 1 Strategies for division
10 Basic mathematics part 2 Division with and without a remainder
11 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
12 Fractions Using fractions 1/2, 1/4, 1/8 to describe part of a whole
13 Fractions Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
14 Fractions Fractions 1/5, 1/10, 1/100
15 Fractions Comparing and ordering fractions
16 Fractions Mixed numerals
17 Fractions Improper fractions
18 Decimals Intro to decimals
19 Decimals Comparing and ordering decimals to two decimal places
20 Decimals Decimals with whole numbers 10th and 100th
21 Decimals Adding decimals to two decimal places
22 Decimals Subtracting decimals to two decimal places
23 Decimals Using decimals – shopping problems
24 Decimals Using decimals to record length
25 Decimals Rounding decimals
26 Decimals Decimals to three decimal places
27 Decimals Adding decimals with a different number of decimal places
28 Decimals Subtracting decimals with a different number of places
29 Decimals Multiplying decimals by 10, 100 and 1000
30 Decimals Dividing decimals by 10, 100 and 1000
31 Time Am and pm time
32 Time Quarter past and quarter to
33 Time Telling the time – minutes past the hour
34 Time Telling the time – minutes to the hour
35 Time Relating analogue and digital time
36 Time 24-hour time
37 Measurement – length Using the metre as a formal unit to measure perimeter
38 Measurement – length Using the formal unit of the centimetre to measure length and perimeter
39 Measurement – length Read and calculate distances on a map using the formal unit kilometre
40 Measurement – length Compare and convert formal units of measurement
41 Measurement – advanced area Comparing and ordering areas
42 Measurement – area Introduction to the square centimetre
43 Measurement – area Introducing the rules for finding the area of a rectangle and a parallelogram
44 Measurement – area Finding the area of a triangle and other composite shapes
45 Measurement – volume Introduction to volume: using the cubic centimetre as a standard unit
46 Measurement – volume Constructing models
47 Measurement – volume Using the cubic centimetre to measure volume
48 Measurement – volume Introducing the formula for volume
49 Measurement – capacity Using the cubic cm and displacement to measure volume and capacity
50 Measurement – capacity Using the cubic cm as a standard unit of measurement for volume and capacity
51 Measurement – capacity The relationship between the common units of capacity: the litre and the millilitre
52 Measurement – capacity Converting between volume and capacity using kiloliters and liters
53 Measurement – capacity Estimate, measure and compare the capacity of containers
54 Measurement – capacity Converting between volume and capacity using milliliters and liters
55 Measurement – mass The kilogram
56 Measurement – mass The gram
57 Space Using the prefix to determine polygons
58 Space Spatial properties of quadrilaterals
59 Space Measure and classify angles
60 Space Recognise and name triangles
61 Space Use grids to enlarge/reduce 2-d shapes
62 Space Recognise and name prisms according to spatial properties
63 Space Recognise and name pyramids according to spatial properties
64 Space Recognise nets for prisms, pyramids, cubes and cones
65 Space Viewing 3-d shapes
66 Space Position
67 Space Mapping
68 Space Main and intermediate compass points
69 Space Informal coordinate system
70 Graphs – basic Line graphs
71 Graphs – basic Pie and bar graphs
72 Probability Simple events
73 Problem solving Sign words
74 Problem solving Problem solving strategies
75 Problem solving Word problems with numbers
76 Problem solving Word problems with money
77 Problem solving Word problems with length
78 Problem solving Word problems with mass
79 Problem solving Word problems with area
80 Problem solving Word problems with volume/capacity
Sr. Topics Sub-Topics
1 Life systems Needs and characteristics of living things
2 Life systems Growth and changes in animals
3 Life systems Growth and changes in plants
4 Life systems Habitats and communities
5 Life systems Human organ systems
6 Structures and mechanisms Materials, objects, and everyday structures
7 Structures and mechanisms Movement
8 Structures and mechanisms Strong and stable structures
9 Structures and mechanisms Pulleys and gears
10 Structures and mechanisms Forces acting on structures and mechanisms
11 Matter and energy Energy in our lives
12 Matter and energy Properties of liquids and solids
13 Matter and energy Light and sound
14 Matter and energy Properties of and changes in matter
15 Earth and space systems Daily and seasonal changes
16 Earth and space systems Air and water in the environment
17 Earth and space systems Soils in the environmen
18 Earth and space systems Rocks and minerals
19 Earth and space systems Conservation of energy and resources
Sr. Topics Sub-Topics
1 What’s the problem? A school outing
2 When i was young Life used to be different.
3 When i was young Have you tidied your room?
4 Space and time We’ve done our research. full lesson available
5 Space and time We’ve written a poem!
6 Choices and places A new jacket
7 Choices and places He has travelled a lot.
8 What’s the best way to do it? A text message
9 What’s the best way to do it? What will we make?
10 Class camp Dear parents, …
11 Class camp A postcard from kate
12 Sentences The sentence
13 Capitalisation Capital letters 1
14 Common nouns Common nouns
15 Punctuation Sentence endings
16 Verbs Simple verbs
17 Basic dictionary use Basic dictionary use
18 Nouns Proper nouns
19 Adjectives Adjectives
20 Adverbs Adverbs
21 Pronouns Pronouns
22 Parts of speech part b Conjunctions
23 Punctuation Commas 1
24 Contractions Contractions
25 Parts of speech part h Articles and demonstratives
26 Antonyms and synonyms Antonyms and synonyms
27 Spelling skills Spelling
28 Spelling skills Syllabification
29 Plurals Plurals 2 – special rules
30 Nouns Collective and abstract nouns
31 Verbs Verbs – tense
32 Adjectives Adjectives – comparatives and superlatives
33 Parts of speech part a Prepositions
34 Punctuation skills part b Quotation marks
35 Common errors Common errors in writing
36 Apostrophe – possession Apostrophe – possession
37 Mnemonics Spelling – mnemonics
38 Prefixes Prefixes
39 Suffixes Suffixes
40 Similes and metaphors Similes and metaphors
41 Figurative language Onomatopoeia, assonance and alliteration
42 Homonyms – homophones and homographs Homonyms – homophones and homographs
43 Advanced dictionary use Advanced dictionary use
44 Capitalisation Capital letters 2
45 Adjectives Adjectives – from nouns and verbs
46 There’s a … It’s famous! full lesson available
47 There’s a … There are lots of things in my town.
48 Hobbies and festivals Collecting things
49 Hobbies and festivals My favourite festival
50 What can you do? Letter to a penfriend
51 What’s homestay? Simple present
52 What’s homestay? Simple past
53 Setting off Present perfect
54 Here we are! Adjectives
55 Here we are! Comparatives and superlatives
56 A new home Prepositions of location
57 Let’s hit the beach! Modals of obligation
58 Amazing aussie animals Present continuous
59 Amazing aussie animals Past continuous
60 Amazing aussie animals Giving facts and opinions
Sr. Topics Sub-Topics
1 Basic mathematics part 2 The numbers 10 000 to 99 999
2 Basic mathematics part 2 Addition to 9999 and beyond
3 Basic mathematics part 2 Subtraction up to the number 999
4 Basic mathematics part 2 Subtraction involving four-digit numbers and beyond
5 Long multiplication Multiplying 2-digit numbers by multiples of 10
6 Long multiplication Multiplying 3 and 4-digit numbers by multiples of 100
7 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
8 Basic mathematics part 2 Division with and without a remainder
9 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
10 Fractions Comparing and ordering fractions
11 Fractions Mixed numerals
12 Fractions Improper fractions
13 Fractions Finding equivalent fractions
14 Fractions Reducing fractions to lowest equivalent form
15 Fractions Comparing and ordering fractions greater than 1
16 Decimals Comparing and ordering decimals to two decimal places
17 Decimals Decimals with whole numbers 10th and 100th
18 Decimals Adding decimals to two decimal places
19 Decimals Subtracting decimals to two decimal places
20 Decimals Using decimals – shopping problems
21 Decimals Using decimals to record length
22 Decimals Rounding decimals
23 Decimals Decimals to three decimal places
24 Decimals Adding decimals with a different number of decimal places
25 Decimals Subtracting decimals with a different number of places
26 Decimals Multiplying decimals by 10, 100 and 1000
27 Decimals Multiplying decimals by single-digit numbers
28 Decimals Multiplication of decimals by decimals to two decimal places
29 Decimals Dividing decimals by 10, 100 and 1000
30 Decimals Dividing decimals by whole numbers
31 Percentages Understanding percentages
32 Percentages Changing fractions and decimals to percentages tenths and hundredths
33 Percentages Changing percentages to fractions and decimals
34 Measurement – length Using the metre as a formal unit to measure perimeter
35 Measurement – length Using the formal unit of the centimetre to measure length and perimeter
36 Measurement – length Read and calculate distances on a map using the formal unit kilometre
37 Measurement – length Compare and convert formal units of measurement
38 Measurement – advanced area Comparing and ordering areas
39 Measurement – area Introduction to the square centimetre
40 Measurement – area Introducing the rules for finding the area of a rectangle and a parallelogram
41 Measurement – area Finding the area of a triangle and other composite shapes
42 Measurement – volume Introduction to volume: using the cubic centimetre as a standard unit
43 Measurement – volume Constructing models
44 Measurement – volume Using the cubic centimetre to measure volume
45 Measurement – volume Introducing the formula for volume
46 Measurement – volume Using the cubic metre to measure volume
47 Measurement – volume Solving problems about volume part 1
48 Measurement – volume Solving problems about volume part 2
49 Measurement – capacity Using the cubic cm and displacement to measure volume and capacity
50 Measurement – capacity Using the cubic cm as a standard unit of measurement for volume and capacity
51 Measurement – capacity The relationship between the common units of capacity: the litre and the millilitre
52 Measurement – capacity Converting between volume and capacity using kiloliters and liters
53 Measurement – capacity Estimate, measure and compare the capacity of containers
54 Measurement – capacity Converting between volume and capacity using milliliters and liters
55 Measurement – mass The kilogram
56 Measurement – mass The gram
57 Space Using the prefix to determine polygons
58 Space Spatial properties of quadrilaterals
59 Space Measure and classify angles
60 Space Recognise and name triangles
61 Space Use grids to enlarge/reduce 2-d shapes
62 Space Recognise and name prisms according to spatial properties
63 Space Recognise and name pyramids according to spatial properties
64 Space Recognise nets for prisms, pyramids, cubes and cones
65 Space Viewing 3-d shapes
66 Algebra – basic Algebraic expressions
67 Algebra – basic Substitution into algebraic expressions
68 Space Mapping
69 Space Main and intermediate compass points
70 Space Informal coordinate system
71 Graphs – basic Line graphs
72 Graphs – basic Pie and bar graphs
73 Probability Simple events
74 Problem solving Sign words
75 Problem solving Problem solving strategies
76 Problem solving Word problems with numbers
77 Problem solving Word problems with money
78 Problem solving Word problems with length
79 Problem solving Word problems with mass
80 Problem solving Word problems with area
81 Problem solving Word problems with volume/capacity
Sr. Topics Sub-Topics
1 Life systems Biodiversity
2 Life systems Interactions in the environment
3 Life systems Cells
4 Matter and energy Electricity and electrical devices
5 Matter and energy Pure substances and mixtures
6 Matter and energy Fluids
7 Earth and space sytems Space
8 Earth and space sytems Heat in the environment
9 Earth and space sytems Water systems
10 Structures and mechanisms Flight
11 Structures and mechanisms Form and function
12 Structures and mechanisms Systems in action
Sr. Topics Sub-Topics
1 A visit to the zoo About koalas
2 A visit to the zoo I’m a zookeeper.
3 What do you want to do? Big dreams
4 What do you want to do? Fruit bowl
5 It’s going to be fun! It’s going to be fantastic!
6 It’s going to be fun! What’s on the menu?
7 We are all doing things! I’m having a great time!
8 We are all doing things! Who can help me?
9 To australia and back! Getting there! full lesson available
10 To australia and back! I came back!
11 Famous people Bruce lee
12 Famous people Alexander bell
13 Finding buster! Finding buster! – a movie review
14 Finding buster! I’m going to be busy!
15 Sentences The sentence
16 Common nouns Common nouns
17 Nouns Proper nouns
18 Adjectives Adjectives
19 Adverbs Adverbs
20 Pronouns Pronouns
21 Parts of speech part b Conjunctions
22 Parts of speech part h Articles and demonstratives
23 Antonyms and synonyms Antonyms and synonyms
24 Spelling skills Syllabification
25 Plurals Plurals 1 – simple
26 Plurals Plurals 2 – special rules
27 Nouns Collective and abstract nouns
28 Verbs Verbs – tense
29 Adjectives Adjectives – comparatives and superlatives
30 Parts of speech part a Prepositions
31 Punctuation skills part b Quotation marks
32 Apostrophe – possession Apostrophe – possession
33 Mnemonics Spelling – mnemonics
34 Prefixes Prefixes
35 Suffixes Suffixes
36 Similes and metaphors Similes and metaphors
37 Figurative language Onomatopoeia, assonance and alliteration
38 Homonyms – homophones and homographs Homonyms – homophones and homographs
39 Advanced dictionary use Advanced dictionary use
40 Capitalisation Capital letters 2
41 Adjectives Adjectives – from nouns and verbs
42 Pronouns Pronouns 2
43 Commas 2 Commas 2
44 Conjunctions – sentences Conjunctions – sentences
45 Phrases Phrases
46 Clauses Clauses
47 Simple and compound verbs Simple and compound verbs
48 Auxiliary verbs Auxiliary verbs
49 Subject-verb agreement Subject-verb agreement
50 Verb tense – compound Verb tense – compound
51 Plurals Plurals 3 – unusual
52 Common errors Common errors in verb usage, spelling and punctuation
53 Punctuation Punctuation – various
54 Vocabulary development Vocabulary
55 What do you like to do? Adverbs of frequency
56 Bbq party! Expressions of quantity
57 Bbq party! Sequence markers
58 Big day out! First and second conditionals
59 Big day out! The future with ‘will’ and ‘going to’
60 Thanks and goodbye Time clauses

Secondary School Students

Junior secondary education is generally for kids 12 to 15 years old. Junior high school is also commonly referred as intermediate education and it comes immediately after completion of elementary school. The goal of two years in junior high school is to prepare students for their next step of education and move to high school where the difficulty of courses increase greatly. So developing a habit of investing time to study at home is beneficial at this stage and online tutoring one again helps put students into a routine, stay organized and develop an overall discipline about managing day to day things:

Sr. Topics Sub-Topics
1 Basic mathematics part 2 The numbers 10 000 to 99 999
2 Basic mathematics part 2 Seven digit numbers
3 Basic mathematics part 2 Addition to 9999 and beyond
4 Basic mathematics part 2 Subtraction involving four-digit numbers and beyond
5 Long multiplication Multiplying 2-digit numbers by 2-digit numbers
6 Basic mathematics part 2 Division with and without a remainder
7 Basic mathematics part 2 Dividing two and three-digit numbers by a single-digit number
8 Basic mathematics part 2 Divide whole numbers by a 2-digit divisor
9 Algebra – basic Directed numbers: addition and subtraction
10 Algebra – basic Directed numbers: multiplication and division
11 Fractions Comparing and ordering fractions
12 Fractions Mixed numerals
13 Fractions Improper fractions
14 Fractions Finding equivalent fractions
15 Fractions Multiplying and dividing to obtain equivalent fractions.
16 Fractions Reducing fractions to lowest equivalent form
17 Fractions Comparing and ordering fractions greater than 1
18 Fractions Subtracting fractions from whole numbers
19 Fractions Adding and subtracting fractions with the same denominator
20 Fractions Adding and subtracting fractions with different denominators
21 Fractions Multiplying fractions by whole numbers
22 Fractions Fractions of whole numbers
23 Fractions Multiplying fractions
24 Decimals Comparing and ordering decimals to two decimal places
25 Decimals Decimals with whole numbers 10th and 100th
26 Decimals Adding decimals to two decimal places
27 Decimals Subtracting decimals to two decimal places
28 Decimals Using decimals – shopping problems
29 Decimals Using decimals to record length
30 Decimals Rounding decimals
31 Decimals Decimals to three decimal places
32 Decimals Adding decimals with a different number of decimal places
33 Decimals Subtracting decimals with a different number of places
34 Decimals Multiplying decimals by 10, 100 and 1000
35 Decimals Multiplying decimals by single-digit numbers
36 Decimals Multiplication of decimals by decimals to two decimal places
37 Decimals Dividing decimals by 10, 100 and 1000
38 Decimals Dividing decimals by whole numbers
39 Decimals Dividing numbers by decimals
40 Percentages Understanding percentages
41 Percentages Changing fractions and decimals to percentages tenths and hundredths
42 Percentages Changing percentages to fractions and decimals
43 Percentages One quantity as a percentage of another
44 Measurement – length Read and calculate distances on a map using the formal unit kilometre
45 Measurement – length Compare and convert formal units of measurement
46 Measurement – area Introducing the rules for finding the area of a rectangle and a parallelogram
47 Measurement – area Finding the area of a triangle and other composite shapes
48 Measurement – capacity Using the cubic cm and displacement to measure volume and capacity
49 Measurement – capacity Using the cubic cm as a standard unit of measurement for volume and capacity
50 Measurement – capacity The relationship between the common units of capacity: the litre and the millilitre
51 Measurement – capacity Converting between volume and capacity using kiloliters and liters
52 Measurement – capacity Estimate, measure and compare the capacity of containers
53 Measurement – capacity Converting between volume and capacity using milliliters and liters
54 Problem solving Word problems with area
55 Problem solving Word problems with volume/capacity
56 Surface area Surface area of a cube/rectangular prism
57 Measurement – mass The kilogram
58 Measurement – mass The gram
59 Space Using the prefix to determine polygons
60 Space Spatial properties of quadrilaterals
61 Space Measure and classify angles
62 Space Recognise and name triangles
63 Space Use grids to enlarge/reduce 2-d shapes
64 Space Recognise and name prisms according to spatial properties
65 Space Recognise and name pyramids according to spatial properties
66 Space Recognise nets for prisms, pyramids, cubes and cones
67 Space Viewing 3-d shapes
68 Geometry part 2 Congruent triangles: tests 1 and 2
69 Geometry part 2 Congruent triangles: tests 3 and 4
70 Geometry part 2 Proofs and congruent triangles
71 Geometry part 2 Similar triangles
72 Algebra – basic Algebraic expressions
73 Algebra – basic Substitution into algebraic expressions
74 Algebra – basic Simplifying algebraic expressions: adding like terms
75 Algebra – basic Simplifying algebraic expressions: subtracting like terms
76 Algebra – basic Simplifying algebraic expressions: combining addition and subtraction
77 Algebra – basic Simplifying algebraic expressions: multiplication
78 Algebra – basic Simplifying algebraic expressions: division
79 Algebra – basic Expanding algebraic expressions: multiplication
80 Algebra – basic Expanding algebraic expressions: negative multiplier
81 Algebra – basic Expanding and simplifying algebraic expressions
82 Algebra – basic Solving equations containing addition and subtraction
83 Algebra – basic Solving equations containing multiplication and division
84 Space Mapping
85 Space Main and intermediate compass points
86 Space Informal coordinate system
87 Graphs – basic Line graphs
88 Graphs – basic Pie and bar graphs
89 Statistics part 1 Frequency distribution table
90 Statistics part 1 Frequency histograms and polygons
91 Statistics part 1 Relative frequency
92 Probability Simple events
93 Probability Experimental probability
94 Probability Experimental probability
Sr. Topics Sub-Topics
1 Life systems Biodiversity
2 Life systems Interactions in the environment
3 Life systems Cells
4 Matter and energy Electricity and electrical devices
5 Matter and energy Pure substances and mixtures
6 Matter and energy Fluids
7 Earth and space sytems Space
8 Earth and space sytems Heat in the environment
9 Earth and space sytems Water systems
10 Structures and mechanisms Flight
11 Structures and mechanisms Form and function
12 Structures and mechanisms Systems in action
Sr. Topics Sub-Topics
1 Have you met? Hello!
2 Have you met? The world in a classroom! full lesson available
3 Let’s get organised! First week fun!
4 Let’s get organised! Organising your subject timetable.
5 I like your hat! We are all different!
6 I like your hat! Fashion tips from junko!
7 Where is it? Getting around the ilc campus.
8 Where is it? Come to my party!
9 How much is it? Shopping list.
10 How much is it? Where can i buy it?
11 Tell me what happened! Eyewitness.
12 Tell me what happened! She screamed loudly!
13 What’s your favourite? Would you like to play?
14 What’s your favourite? Do you enjoy going out?
15 May i take your order? Are you eating well?
16 May i take your order? Would you like some tea?
17 What will we do? What will we do there?
18 What will we do? What kind of job?
19 Let’s celebrate Merry christmas!
20 Let’s celebrate The diwali festival.
21 Sentences The sentence
22 Capitalisation Capital letters 1
23 Punctuation Sentence endings
24 Common nouns Common nouns
25 Nouns Proper nouns
26 Verbs Simple verbs
27 Adjectives Adjectives
28 Adverbs Adverbs
29 Pronouns Pronouns
30 Parts of speech part b Conjunctions
31 Conjunctions – sentences Conjunctions – sentences
32 Capitalisation Capital letters 2
33 Parts of speech part h Articles and demonstratives
34 Antonyms and synonyms Antonyms and synonyms
35 Punctuation Commas 1
36 Commas 2 Commas 2
37 Spelling skills Spelling
38 Spelling skills Syllabification
39 Plurals Plurals 2 – special rules
40 Nouns Collective and abstract nouns
41 Verbs Verbs – tense
42 Adjectives Adjectives – comparatives and superlatives
43 Parts of speech part a Prepositions
44 Punctuation skills part b Quotation marks
45 Apostrophe – possession Apostrophe – possession
46 Mnemonics Spelling – mnemonics
47 Prefixes Prefixes
48 Suffixes Suffixes
49 Similes and metaphors Similes and metaphors
50 Figurative language Onomatopoeia, assonance and alliteration
51 Homonyms – homophones and homographs Homonyms – homophones and homographs
52 Advanced dictionary use Advanced dictionary use
53 Vocabulary development Vocabulary
54 Phrases Phrases
55 Clauses Clauses
56 Simple and compound verbs Simple and compound verbs
57 Auxiliary verbs Auxiliary verbs
58 Subject-verb agreement Subject-verb agreement
59 Verb tense – compound Verb tense – compound
60 Plurals Plurals 3 – unusual
Sr. Topics Sub-Topics
1 Algebra – basic Directed numbers: addition and subtraction
2 Algebra – basic Directed numbers: multiplication and division
3 Fractions Finding equivalent fractions
4 Fractions Multiplying and dividing to obtain equivalent fractions.
5 Fractions Reducing fractions to lowest equivalent form
6 Fractions Comparing and ordering fractions greater than 1
7 Fractions Subtracting fractions from whole numbers
8 Fractions Adding and subtracting fractions with the same denominator
9 Fractions Adding and subtracting fractions with different denominators
10 Fractions Multiplying fractions by whole numbers
11 Fractions Fractions of whole numbers
12 Fractions Multiplying fractions
13 Fractions Multiplying mixed numbers
14 Fractions Finding reciprocals of fractions and mixed numbers
15 Fractions Dividing fractions
16 Fractions Dividing mixed numbers
17 Fractions Bodmas
18 Decimals Adding decimals to two decimal places
19 Decimals Subtracting decimals to two decimal places
20 Decimals Using decimals – shopping problems
21 Decimals Using decimals to record length
22 Decimals Rounding decimals
23 Decimals Decimals to three decimal places
24 Decimals Adding decimals with a different number of decimal places
25 Decimals Subtracting decimals with a different number of places
26 Decimals Multiplying decimals by 10, 100 and 1000
27 Decimals Multiplying decimals by single-digit numbers
28 Decimals Multiplication of decimals by decimals to two decimal places
29 Decimals Dividing decimals by 10, 100 and 1000
30 Decimals Dividing decimals by whole numbers
31 Decimals Dividing numbers by decimals
32 Percentages Understanding percentages
33 Percentages Changing fractions and decimals to percentages tenths and hundredths
34 Percentages Changing percentages to fractions and decimals
35 Percentages One quantity as a percentage of another
36 Uniform motion The speed formula
37 Measurement – length Read and calculate distances on a map using the formal unit kilometre
38 Measurement – length Compare and convert formal units of measurement
39 Measurement – area Introducing the rules for finding the area of a rectangle and a parallelogram
40 Measurement – area Finding the area of a triangle and other composite shapes
41 Measurement – capacity Using the cubic cm and displacement to measure volume and capacity
42 Measurement – capacity Using the cubic cm as a standard unit of measurement for volume and capacity
43 Measurement – capacity The relationship between the common units of capacity: the litre and the millilitre
44 Measurement – capacity Converting between volume and capacity using kiloliters and liters
45 Measurement – capacity Estimate, measure and compare the capacity of containers
46 Measurement – capacity Converting between volume and capacity using milliliters and liters
47 Measurement – mass The kilogram
48 Measurement – mass The gram
49 Measurement – advanced area Area of a circle
50 Measurement – advanced area Area of regular polygons and composite figures
51 Measurement – advanced volume Finding the volume of prisms
52 Measurement – advanced volume Volume of a cylinder and sphere
53 Space Using the prefix to determine polygons
54 Space Spatial properties of quadrilaterals
55 Space Measure and classify angles
56 Space Recognise and name triangles
57 Space Use grids to enlarge/reduce 2-d shapes
58 Space Recognise and name prisms according to spatial properties
59 Space Recognise and name pyramids according to spatial properties
60 Space Recognise nets for prisms, pyramids, cubes and cones
61 Space Viewing 3-d shapes
62 Problem solving Word problems with area
63 Problem solving Word problems with volume/capacity
64 Surface area Surface area of a cube/rectangular prism
65 Surface area Surface area of a cylinder and sphere
66 Geometry part 1 Measuring angles
67 Geometry part 1 Adjacent angles
68 Geometry part 1 Complementary and supplementary angles
69 Geometry part 1 Vertically opposite angles
70 Geometry part 1 Angles at a point
71 Geometry part 1 Parallel lines
72 Geometry part 1 Additional questions involving parallel lines
73 Quadrilaterals Quadrilaterals 1
74 Quadrilaterals Properties of parallelograms – opposite angles equal
75 Quadrilaterals Properties of parallelograms – diagonals, sides and angles
76 Quadrilaterals The parallelogram umbrella
77 Quadrilaterals Properties of trapezoids
78 Quadrilaterals Quadrilaterals 6
79 Geometry part 2 Congruent triangles: tests 1 and 2
80 Geometry part 2 Congruent triangles: tests 3 and 4
81 Geometry part 2 Proofs and congruent triangles
82 Geometry part 2 Similar triangles
83 Geometry part 2 Using similar triangles to calculate lengths
84 Geometry part 2 Examples involving overlapping triangles
85 Pythagoras Pythagoras’ theorem: finding the hypotenuse
86 Pythagoras Using pythagorean triples to identify right triangles
87 Pythagoras Calculating the hypotenuse of a right-angled triangle
88 Pythagoras Calculating a leg of a right-angled triangle
89 Algebra – basic Algebraic expressions
90 Algebra – basic Substitution into algebraic expressions
91 Algebra – basic Simplifying algebraic expressions: adding like terms
92 Algebra – basic Simplifying algebraic expressions: subtracting like terms
93 Algebra – basic Simplifying algebraic expressions: combining addition and subtraction
94 Algebra – basic Simplifying algebraic expressions: multiplication
95 Algebra – basic Simplifying algebraic expressions: division
96 Algebra – basic Expanding algebraic expressions: multiplication
97 Algebra – basic Expanding algebraic expressions: negative multiplier
98 Algebra – basic Expanding and simplifying algebraic expressions
99 Algebra – basic Solving equations containing addition and subtraction
100 Algebra – basic Solving equations containing multiplication and division
101 Algebra – basic Solving two-step equations
102 Algebra – basic Solving equations containing binomial expressions
103 Algebra – basic Equations involving grouping symbols
104 Algebra – basic Equations involving fractions
105 Algebra – basic Equations resulting from substitution into formulae
106 Algebra – basic Changing the subject of the formula
107 Space Mapping
108 Space Main and intermediate compass points
109 Space Informal coordinate system
110 Graphs – basic Line graphs
111 Graphs – basic Pie and bar graphs
112 Statistics part 1 Frequency distribution table
113 Statistics part 1 Frequency histograms and polygons
114 Statistics part 1 Relative frequency
115 Statistics part 1 The scatter plot
116 Probability Simple events
117 Probability Experimental probability
118 Probability Experimental probability
119 Probability The complementary result
Sr. Topics Sub-Topics
1 Life systems Biodiversity
2 Life systems Interactions in the environment
3 Life systems Cells
4 Matter and energy Electricity and electrical devices
5 Matter and energy Pure substances and mixtures
6 Matter and energy Fluids
7 Earth and space sytems Space
8 Earth and space sytems Heat in the environment
9 Earth and space sytems Water systems
10 Structures and mechanisms Flight
11 Structures and mechanisms Form and function
12 Structures and mechanisms Systems in action
Sr. Topics Sub-Topics
1 What’s homestay? Want to improve your english?
2 What’s homestay? Homestay application
3 Setting off Destination ‘downunder’
4 Setting off A letter to the carters full lesson available
5 Here we are! Who are the carters?
6 Here we are! My new family
7 A new home This is our house.
8 A new home Our room!
9 Let’s hit the beach! Meet tim. he’s a lifesaver.
10 Let’s hit the beach! Be safe at the beach this summer!
11 Amazing aussie animals Marsupials
12 Amazing aussie animals When we were watching …
13 What do you like to do? Would you like to join?
14 What do you like to do? How often do you …?
15 Bbq party! A famous aussie dessert
16 Bbq party! A new ‘barbie’!
17 Big day out! The big three full lesson available
18 Big day out! The big plan
19 Thanks and goodbye My australian experience
20 Thanks and goodbye Thank you letter
21 Sentences The sentence
22 Punctuation Sentence endings
23 Capitalisation Capital letters 2
24 Pronouns Pronouns 2
25 Parts of speech part a Prepositions
26 Punctuation skills part b Quotation marks
27 Contractions Contractions
28 Common errors Common errors in writing
29 Commas 2 Commas 2
30 Conjunctions – sentences Conjunctions – sentences
31 Phrases Phrases
32 Clauses Clauses
33 Subject-verb agreement Subject-verb agreement
34 Verb tense – compound Verb tense – compound
35 Verbs – active and passive voice Verbs – active and passive voice
36 Apostrophe – possession Apostrophe – possession
37 Similes and metaphors Similes and metaphors
38 Figurative language Onomatopoeia, assonance and alliteration
39 Common errors Common errors in verb usage, spelling and punctuation
40 Colons and semi-colons Colons and semi-colons
41 Sentence structure part a Subject and predicate
42 Regular and irregular verbs Regular and irregular verbs
43 Verbs – infinitives Verbs – infinitives
44 Modal verbs Modal verbs
45 Participles – as verbs and adjectives Participles – as verbs and adjectives
46 Gerunds Gerunds
47 Interjections Interjections
48 Plurals Plurals 4 – unusual
49 Sentence improvement Sentence improvement
50 Punctuation Punctuation – various
51 Mass and count nouns Determiners
52 Transitive and intransitive verbs Transitive and intransitive verbs
53 Case – nouns and pronouns Case – nouns, pronouns and possessive adjectives
54 Plurals of foreign nouns Plurals 5 – foreign
55 Variety of expression Sentence construction
56 Figurative language Symbolism and personification
57 Review of figures of speech Review of figures of speech
58 Spelling skills Word usage
59 Essay writing 1 Essay writing 1
60 Essay writing 2 Essay writing 2

High school is the second part of secondary education and it immediately follow junior high school. High school students spend the next four years in this stage until grade 11 or 12 (ages 16-18, depending on the student’s circumstances and province) before starting college life. Students in high school not only deal with higher complexity homework questions but also worry about maintaining high GPA and preparing for college applications. Once again a tutoring support can go a long way in helping them get the desired GPA and even be eligible to a scholarship at college.

Sr. Topics Sub-Topics
1 Algebra – basic Directed numbers: addition and subtraction
2 Algebra – basic Directed numbers: multiplication and division
3 Fractions Bodmas
4 Decimals Rounding decimals
5 Decimals Multiplication of decimals by decimals to two decimal places
6 Decimals Dividing numbers by decimals
7 Percentages Changing percentages to fractions and decimals
8 Percentages One quantity as a percentage of another
9 Uniform motion The speed formula
10 Algebra – basic Simplifying algebraic expressions: combining addition and subtraction
11 Algebra – basic Simplifying algebraic expressions: multiplication
12 Algebra – basic Simplifying algebraic expressions: division
13 Algebra – basic Expanding algebraic expressions: multiplication
14 Algebra – basic Expanding algebraic expressions: negative multiplier
15 Algebra – basic Expanding and simplifying algebraic expressions
16 Algebra – basic Solving equations containing addition and subtraction
17 Algebra – basic Solving equations containing multiplication and division
18 Algebra – basic Solving two-step equations
19 Algebra – basic Solving equations containing binomial expressions
20 Algebra – basic Equations involving grouping symbols
21 Algebra – basic Equations involving fractions
22 Algebra – basic Equations resulting from substitution into formulae
23 Algebra – basic Changing the subject of the formula
24 Indices/exponents Adding indices when multiplying terms with the same base
25 Indices/exponents Subtracting indices when dividing terms with the same base
26 Indices/exponents Multiplying indices when raising a power to a power
27 Indices/exponents Multiplying indices when raising to more than one term
28 Indices/exponents Terms raised to the power of zero
29 Space Informal coordinate system
30 Graphs – basic Line graphs
31 Graphs – basic Pie and bar graphs
32 Statistics part 1 Frequency distribution table
33 Statistics part 1 Frequency histograms and polygons
34 Statistics part 1 Relative frequency
35 Statistics part 1 The scatter plot
36 Co-ordinate geometry part 1 The gradient
37 Co-ordinate geometry part 1 The gradient formula
38 Co-ordinate geometry part 1 The straight line
39 Co-ordinate geometry part 1 Lines through the origin
40 Co-ordinate geometry part 1 General form of a line and the x and y intercepts
41 Co-ordinate geometry part 1 Slope intercept form of a line
42 Co-ordinate geometry part 1 Point slope form of a line
43 Co-ordinate geometry part 2 Two point formula: equation of a line which joins a pair of points
44 Co-ordinate geometry part 2 Intercept form of a straight line: find the equation when given x and y
45 Co-ordinate geometry part 2 Parallel lines: identify equation of a line parallel to another
46 Co-ordinate geometry part 2 Perpendicular lines
47 Space Recognise and name prisms according to spatial properties
48 Space Recognise and name pyramids according to spatial properties
49 Space Recognise nets for prisms, pyramids, cubes and cones
50 Space Viewing 3-d shapes
51 Measurement – length Read and calculate distances on a map using the formal unit kilometre
52 Measurement – length Compare and convert formal units of measurement
53 Measurement – area Introducing the rules for finding the area of a rectangle and a parallelogram
54 Measurement – area Finding the area of a triangle and other composite shapes
55 Measurement – capacity Converting between volume and capacity using milliliters and liters
56 Measurement – capacity Estimate, measure and compare the capacity of containers
57 Measurement – advanced area Area of a trapezium
58 Measurement – advanced area Area of a rhombus
59 Measurement – advanced area Area of a circle
60 Measurement – advanced area Area of regular polygons and composite figures
61 Problem solving Word problems with area
62 Measurement – advanced volume Finding the volume of prisms
63 Measurement – advanced volume Volume of a cylinder and sphere
64 Measurement – advanced volume Volume of pyramids and cones
65 Measurement – advanced volume Composite solids
66 Problem solving Word problems with volume/capacity
67 Surface area Surface area of a cube/rectangular prism
68 Surface area Surface area of a triangular/trapezoidal prism
69 Surface area Surface area of a cylinder and sphere
70 Surface area Surface area of pyramids
71 Pythagoras Pythagoras’ theorem: finding the hypotenuse
72 Pythagoras Using pythagorean triples to identify right triangles
73 Pythagoras Calculating the hypotenuse of a right-angled triangle
74 Pythagoras Calculating a leg of a right-angled triangle
75 Geometry part 1 Angle sum of a triangle
76 Geometry part 1 Exterior angle theorem
77 Geometry part 1 Special triangles
78 Geometry part 1 Quadrilaterals
79 Quadrilaterals Quadrilaterals 1
80 Quadrilaterals Properties of parallelograms – opposite angles equal
81 Quadrilaterals Properties of parallelograms – diagonals, sides and angles
82 Quadrilaterals The parallelogram umbrella
83 Quadrilaterals Properties of trapezoids
84 Fractions Dividing mixed numbers
85 Fractions Bodmas
86 Decimals Using decimals – shopping problems
87 Decimals Using decimals to record length
88 Decimals Rounding decimals
89 Decimals Multiplication of decimals by decimals to two decimal places
90 Percentages Understanding percentages
91 Percentages Changing fractions and decimals to percentages tenths and hundredths
92 Percentages Changing percentages to fractions and decimals
93 Percentages One quantity as a percentage of another
94 Uniform motion The speed formula
95 Algebra – basic Directed numbers: addition and subtraction
96 Algebra – basic Directed numbers: multiplication and division
97 Algebra – basic Simplifying algebraic expressions: combining addition and subtraction
98 Algebra – basic Simplifying algebraic expressions: multiplication
99 Algebra – basic Simplifying algebraic expressions: division
100 Algebra – basic Expanding algebraic expressions: multiplication
101 Algebra – basic Expanding algebraic expressions: negative multiplier
102 Algebra – basic Expanding and simplifying algebraic expressions
103 Algebra – basic Solving equations containing addition and subtraction
104 Algebra – basic Solving equations containing multiplication and division
105 Algebra – basic Solving two-step equations
106 Algebra – basic Solving equations containing binomial expressions
107 Algebra – basic Equations involving grouping symbols
108 Algebra – basic Equations involving fractions
109 Algebra – basic Equations resulting from substitution into formulae
110 Algebra – basic Changing the subject of the formula
111 Graphs – basic Line graphs
112 Graphs – basic Pie and bar graphs
113 Statistics part 1 Frequency distribution table
114 Statistics part 1 Frequency histograms and polygons
115 Statistics part 1 Relative frequency
116 Statistics part 1 The scatter plot
117 Space Recognise and name prisms according to spatial properties
118 Space Recognise and name pyramids according to spatial properties
119 Space Recognise nets for prisms, pyramids, cubes and cones
120 Space Viewing 3-d shapes
121 Measurement – length Read and calculate distances on a map using the formal unit kilometre
122 Measurement – length Compare and convert formal units of measurement
123 Measurement – area Introducing the rules for finding the area of a rectangle and a parallelogram
124 Measurement – area Finding the area of a triangle and other composite shapes
125 Measurement – capacity Converting between volume and capacity using milliliters and liters
126 Measurement – capacity Estimate, measure and compare the capacity of containers
127 Measurement – advanced area Area of a trapezium
128 Measurement – advanced area Area of a rhombus
129 Measurement – advanced area Area of a circle
130 Measurement – advanced area Area of regular polygons and composite figures
131 Problem solving Word problems with area
132 Measurement – advanced volume Finding the volume of prisms
133 Measurement – advanced volume Volume of a cylinder and sphere
134 Measurement – advanced volume Volume of pyramids and cones
135 Measurement – advanced volume Composite solids
136 Problem solving Word problems with volume/capacity
137 Surface area Surface area of a cube/rectangular prism
138 Surface area Surface area of a triangular/trapezoidal prism
139 Surface area Surface area of a cylinder and sphere
140 Surface area Surface area of pyramids
141 Pythagoras Pythagoras’ theorem: finding the hypotenuse
142 Pythagoras Using pythagorean triples to identify right triangles
143 Pythagoras Calculating the hypotenuse of a right-angled triangle
144 Pythagoras Calculating a leg of a right-angled triangle
145 Geometry part 1 Angle sum of a triangle
146 Geometry part 1 Exterior angle theorem
147 Geometry part 1 Special triangles
148 Geometry part 1 Quadrilaterals
149 Quadrilaterals Quadrilaterals 1
150 Quadrilaterals Properties of parallelograms – opposite angles equal
151 Quadrilaterals Properties of parallelograms – diagonals, sides and angles
152 Quadrilaterals The parallelogram umbrella
153 Quadrilaterals Properties of trapezoids
Sr. Topics Sub-Topics
1 The characteristics of electricity Electricity
2 The characteristics of electricity Non-renewable and renewable sources
3 The characteristics of electricity Static and current electricity
4 The characteristics of electricity Production and consumption of electrical energy
5 The characteristics of electricity Static electricity with alternating current (ac) and direct current (dc)
6 Electrical applications Determine the energy consumption of various appliances
7 Electrical applications Transfer of static electric charges by friction, contact, and induction
8 Electrical applications Ability of different materials to hold or transfer electric charges
9 Electrical applications Circuit diagrams of, and construct series and parallel circuits
10 Electrical applications Effects of adding an identical load in series and in parallel
11 Electrical applications Quantitative relationships between current, potential difference, and resistance in a simple series circuit
12 Electrical applications Relation between potential difference v, electric current i, and resistance r, using the quantitative relationship v = ir [ai, c]
13 Electrical applications Efficiency of an energy converter
14 Electrical applications Characteristics of conductors and insulators
15 Electrical applications Environmental costs and benefits of using electrical energy
16 Light and geometric optics Properties of light
17 Light and geometric optics Reflection in plane and curved mirrors
18 Light and geometric optics Refraction in converging lenses
19 Light and geometric optics Reflection and refraction in lenses
20 Light and applications of optics Refraction in converging lenses
21 Light and applications of optics Reflection and refraction in lenses
Sr. Topics Sub-Topics
1 Atoms, elements, and compounds Elements and compounds
2 Atoms, elements, and compounds Molecular models to represent simple molecules (e.g., o2 , co2 , h2 o, nh3, ch4
3 Atoms, elements, and compounds Thomson model of the atom
4 Atoms, elements, and compounds Rutherford gold-foil experiment
5 Atoms, elements, and compounds Characteristics of neutrons, protons, and electrons
6 Atoms, elements, and compounds Patterns in the arrangements of electrons in the first 20 elements of the periodic table
7 Atoms, elements, and compounds Bohr-rutherford model
8 Atoms, elements, and compounds Relationship between the atomic structure of an element and the position of that element in the periodic table
9 Exploring matter Distinguish the substances by their physical and chemical properties
10 Exploring matter Chemical tests to identify some common gases (e.g., oxygen, hydrogen, carbon dioxide
11 Exploring matter Physical and chemical properties
12 Exploring matter Use of elements and compounds
13 Exploring matter Identify and use the symbols for common elements (e.g., c, cl, s, n) and the formulae for common compounds (e.g., h2 o, co2, nacl, o2 )
14 Chemical reactions Basic concept
15 Chemical reactions Chemical equation in words
16 Chemical reactions Chemical equation with molecular formulae
17 Chemical reactions Balance chemical equation
18 Chemical reactions and their practical applications Types of chemical reactions
19 Chemical reactions and their practical applications Identification of formation of product
20 Chemical reactions and their practical applications Factors changes during chemical reaction
21 Chemical reactions and their practical applications Characteristics of simple chemical reaction
Sr. Topics Sub-Topics
1 Sustainable ecosystems Ecosystems
2 Sustainable ecosystems Ecological balance
3 Sustainable ecosystems Relating science to technology, society, and the environment
4 Sustainable ecosystems Biotic and abiotic characteristics of sustainable and unsustainable terrestrial and aquatic ecosystems
5 Sustainable ecosystems Limiting factors of ecosystems
6 Sustainable ecosystems Sustainability of terrestrial ecosystems
7 Sustainable ecosystems Sustainability of aquatic ecosystems
8 Sustainable ecosystems Earth’s four spheres (biosphere, hydrosphere, lithosphere, atmosphere),
9 Sustainable ecosystems and human activity People's impact on the sustainability of ecosystems
10 Sustainable ecosystems and human activity Preservation of ecosystem
11 Sustainable ecosystems and human activity Human activity affects soil composition or soil fertility
12 Sustainable ecosystems and human activity Human activity affects water quality
13 Sustainable ecosystems and human activity Effect of human activity on the populations of terrestrial and aquatic ecosystems
14 Sustainable ecosystems and human activity Impact on the food supply for animals
15 Sustainable ecosystems and human activity Flow of energy and the cycling of matter within ecosystems
16 Tissues, organs, and systems of living things Tissues, organs, and systems of living things
17 Tissues, organs, and systems of living things Cell division
18 Tissues, organs, and systems of living things Cell specialization
19 Tissues, organs, and systems of living things Organs, and systems in animals and plants
20 Tissues, organs, and systems Various systems of living organism
21 Tissues, organs, and systems Hierarchical organization of cell
Sr. Topics Sub-Topics
1 Sentences The sentence
2 Vowels Vowels – long and short
3 Basic dictionary use Basic dictionary use
4 Capitalisation Capital letters 1
5 Punctuation Sentence endings
6 Common nouns Common nouns
7 Nouns Proper nouns
8 Verbs Simple verbs
9 Adjectives Adjectives
10 Adverbs Adverbs
11 Pronouns Pronouns
12 Parts of speech part b Conjunctions
13 Common errors Common errors in spelling and punctuation
14 Conjunctions – sentences Conjunctions – sentences
15 Capitalisation Capital letters 2
16 Parts of speech part h Articles and demonstratives
17 Antonyms and synonyms Antonyms and synonyms
18 Punctuation Commas 1
19 Commas 2 Commas 2
20 Spelling skills Spelling
21 Spelling skills Syllabification
22 Plurals Plurals 1 – simple
23 Plurals Plurals 2 – special rules
24 Nouns Collective and abstract nouns
25 Verbs Verbs – tense
26 Adjectives Adjectives – from nouns and verbs
27 Adjectives Adjectives – comparatives and superlatives
28 Parts of speech part a Prepositions
29 Punctuation skills part b Quotation marks
30 Apostrophe – possession Apostrophe – possession
31 Mnemonics Spelling – mnemonics
32 Prefixes Prefixes
33 Suffixes Suffixes
34 Similes and metaphors Similes and metaphors
35 Figurative language Onomatopoeia, assonance and alliteration
36 Homonyms – homophones and homographs Homonyms – homophones and homographs
37 Advanced dictionary use Advanced dictionary use
38 Vocabulary development Vocabulary
39 Phrases Phrases
40 Clauses Clauses
41 Simple and compound verbs Simple and compound verbs
42 Auxiliary verbs Auxiliary verbs
43 Subject-verb agreement Subject-verb agreement
44 Verb tense – compound Verb tense – compound
45 Plurals Plurals 3 – unusual
46 Pronouns Pronouns 2
47 Contractions Contractions
48 Common errors Common errors in writing
49 Verbs – active and passive voice Verbs – active and passive voice
50 Common errors Common errors in verb usage, spelling and punctuation
51 Colons and semi-colons Colons and semi-colons
52 Sentence structure part a Subject and predicate
53 Regular and irregular verbs Regular and irregular verbs
54 Verbs – infinitives Verbs – infinitives
55 Modal verbs Modal verbs
56 Participles – as verbs and adjectives Participles – as verbs and adjectives
57 Gerunds Gerunds
58 Interjections Interjections
59 Plurals Plurals 4 – unusual
60 Sentence improvement Sentence improvement
61 Punctuation Punctuation – various
62 Mass and count nouns Determiners
63 Transitive and intransitive verbs Transitive and intransitive verbs
64 Case – nouns and pronouns Case – nouns, pronouns and possessive adjectives
65 Plurals of foreign nouns Plurals 5 – foreign
66 Variety of expression Sentence construction
67 Figurative language Symbolism and personification
68 Review of figures of speech Review of figures of speech
69 Spelling skills Word usage
70 Essay writing 1 Essay writing 1
71 Essay writing 2 Essay writing 2
72 Letter writing Personal and business letters
Sr. Topics Sub-Topics
1 Algebra – products and factors Binomial products
2 Algebra – products and factors Binomial products with negative multiplier
3 Algebra – products and factors Binomial products (nonmonic)
4 Algebra – products and factors Squaring a binomial (monic)
5 Algebra – products and factors Squaring a binomial (nonmonic)
6 Algebra – products and factors Expansions leading to the difference of two squares
7 Algebra – products and factors Products in simplification of algebraic expressions
8 Algebra – products and factors Larger expansions
9 Algebra – products and factors Highest common factor
10 Algebra – products and factors Factors by grouping
11 Algebra – products and factors Difference of two squares
12 Algebra – products and factors Common factor and the difference of two squares
13 Algebra – products and factors Quadratic trinomials (monic): case 1
14 Algebra – products and factors Quadratic trinomials (monic): case 2
15 Algebra – products and factors Quadratic trinomials (monic): case 3
16 Algebra – products and factors Quadratic trinomials (monic): case 4
17 Algebra – products and factors Factorisation of nonmonic quadratic trinomials
18 Graphs part 1 The parabola: to describe properties of a parabola from its equation
19 Graphs part 1 Quadratic polynomials of the form y = ax^2 + bx + c
20 Graphs part 1 Graphing perfect squares: y=(a-x) squared
21 Graphs part 1 Graphing irrational roots
22 Graphs part 1 Solving simultaneous equations graphically
23 Algebra – quadratic equations Introduction to quadratic equations
24 Algebra – quadratic equations Solving quadratic equations with factorisation
25 Algebra – quadratic equations Solving quadratic equations
26 Algebra – quadratic equations Completing the square
27 Algebra – quadratic equations Solving quadratic equations by completing the square
28 Algebra – quadratic equations The quadratic formula
29 Algebra – quadratic equations Problem solving with quadratic equations
30 Algebra – quadratic equations Solving simultaneous quadratic equations graphically
31 Conic sections The parabola
32 Graphs part 2 The rectangular hyperbola
33 Graphs part 2 The exponential function
34 Co-ordinate geometry part 1 The distance formula
35 Co-ordinate geometry part 1 The mid-point formula
36 Co-ordinate geometry part 1 The gradient
37 Co-ordinate geometry part 1 The gradient formula
38 Co-ordinate geometry part 1 The straight line
39 Co-ordinate geometry part 1 Lines through the origin
40 Co-ordinate geometry part 1 General form of a line and the x and y intercepts
41 Co-ordinate geometry part 1 Slope intercept form of a line
42 Co-ordinate geometry part 1 Point slope form of a line
43 Graphs part 1 The circle: to find radii of circles
44 Graphs part 1 The semicircle: to select the equation given the semicircle and vice versa
45 Conic sections Circles
46 Co-ordinate geometry part 2 Two point formula: equation of a line which joins a pair of points
47 Co-ordinate geometry part 2 Intercept form of a straight line: find the equation when given x and y
48 Co-ordinate geometry part 2 Parallel lines: identify equation of a line parallel to another
49 Co-ordinate geometry part 2 Perpendicular lines
50 Co-ordinate geometry part 2 Perpendicular distance
51 Geometry part 2 Congruent triangles: tests 1 and 2
52 Geometry part 2 Congruent triangles: tests 3 and 4
53 Geometry part 2 Proofs and congruent triangles
54 Geometry part 2 Similar triangles
55 Geometry part 2 Using similar triangles to calculate lengths
56 Geometry part 2 Examples involving overlapping triangles
57 Pythagoras Pythagoras’ theorem: finding the hypotenuse
58 Pythagoras Using pythagorean triples to identify right triangles
59 Pythagoras Calculating the hypotenuse of a right-angled triangle
60 Pythagoras Calculating a leg of a right-angled triangle
61 Trigonometry part 1 Trigonometric ratios
62 Trigonometry part 1 Using the calculator
63 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 1 sin]
64 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 2 cosine]
65 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 3 tangent ratio]
66 Trigonometry part 1 Unknown in the denominator [case 4]
67 Trigonometry part 1 Bearings: the compass
68 Trigonometry part 1 Angles of elevation and depression
69 Trigonometry part 1 Trigonometric ratios in practical situations
70 Trigonometry part 1 Using the calculator to find an angle given a trigonometric ratio
71 Trigonometry part 1 Using the trigonometric ratios to find an angle in a right-angled triangle
72 Trigonometry part 1 Trigonometric ratios of 30, 45 and 60 degrees: exact ratios
73 Trigonometry part 1 The cosine rule to find an unknown side [case 1 sas]
74 Trigonometry part 1 The sine rule to find an unknown side: case 1
75 Trigonometry part 1 The sine rule: finding a side
76 Trigonometry part 1 The sine rule: finding an angle
77 Geometry part 2 Congruent triangles: tests 1 and 2
78 Geometry part 2 Congruent triangles: tests 3 and 4
79 Geometry part 2 Proofs and congruent triangles
80 Geometry part 2 Similar triangles
81 Geometry part 2 Using similar triangles to calculate lengths
82 Geometry part 2 Examples involving overlapping triangles
83 Pythagoras Pythagoras’ theorem: finding the hypotenuse
84 Pythagoras Using pythagorean triples to identify right triangles
85 Pythagoras Calculating the hypotenuse of a right-angled triangle
86 Pythagoras Calculating a leg of a right-angled triangle
87 Trigonometry part 1 Trigonometric ratios
88 Trigonometry part 1 Using the calculator
89 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 1 sin]
90 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 2 cosine]
91 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 3 tangent ratio]
92 Trigonometry part 1 Unknown in the denominator [case 4]
93 Trigonometry part 1 Bearings: the compass
94 Trigonometry part 1 Angles of elevation and depression
95 Trigonometry part 1 Trigonometric ratios in practical situations
96 Trigonometry part 1 Using the calculator to find an angle given a trigonometric ratio
97 Trigonometry part 1 Using the trigonometric ratios to find an angle in a right-angled triangle
98 Measurement – length Compare and convert formal units of measurement
99 Measurement – area Introducing the rules for finding the area of a rectangle and a parallelogram
100 Measurement – area Finding the area of a triangle and other composite shapes
101 Measurement – capacity Converting between volume and capacity using milliliters and liters
102 Measurement – capacity Estimate, measure and compare the capacity of containers
103 Measurement – advanced area Area of a trapezium
104 Measurement – advanced area Area of a rhombus
105 Measurement – advanced area Area of a circle
106 Measurement – advanced area Area of regular polygons and composite figures
107 Problem solving Word problems with area
108 Measurement – advanced volume Finding the volume of prisms
109 Measurement – advanced volume Volume of a cylinder and sphere
110 Measurement – advanced volume Volume of pyramids and cones
111 Measurement – advanced volume Composite solids
112 Problem solving Word problems with volume/capacity
113 Surface area Surface area of a cube/rectangular prism
114 Surface area Surface area of a triangular/trapezoidal prism
115 Surface area Surface area of a cylinder and sphere
116 Surface area Surface area of pyramids
117 Co-ordinate geometry part 1 The gradient
118 Co-ordinate geometry part 1 The gradient formula
119 Co-ordinate geometry part 1 The straight line
120 Co-ordinate geometry part 1 Lines through the origin
121 Co-ordinate geometry part 1 General form of a line and the x and y intercepts
122 Co-ordinate geometry part 1 Slope intercept form of a line
123 Co-ordinate geometry part 1 Point slope form of a line
124 Co-ordinate geometry part 2 Two point formula: equation of a line which joins a pair of points
125 Co-ordinate geometry part 2 Intercept form of a straight line: find the equation when given x and y
126 Algebra – basic Solving two-step equations
127 Algebra – basic Solving equations containing binomial expressions
128 Algebra – basic Equations involving grouping symbols
129 Algebra – basic Equations involving fractions
130 Algebra – basic Equations resulting from substitution into formulae
131 Algebra – basic Changing the subject of the formula
132 Simultaneous equations Simultaneous equations
133 Simultaneous equations Elimination method
134 Simultaneous equations Elimination method part 2
135 Simultaneous equations Applications of simultaneous equations
136 Algebra – products and factors Binomial products
137 Algebra – products and factors Binomial products with negative multiplier
138 Algebra – products and factors Binomial products (nonmonic)
139 Algebra – products and factors Squaring a binomial (monic)
140 Algebra – products and factors Squaring a binomial (nonmonic)
141 Algebra – products and factors Expansions leading to the difference of two squares
142 Algebra – products and factors Products in simplification of algebraic expressions
143 Algebra – products and factors Larger expansions
144 Algebra – products and factors Highest common factor
145 Algebra – products and factors Factors by grouping
146 Algebra – products and factors Difference of two squares
147 Algebra – products and factors Common factor and the difference of two squares
148 Algebra – products and factors Quadratic trinomials (monic): case 1
149 Algebra – products and factors Quadratic trinomials (monic): case 2
150 Algebra – products and factors Quadratic trinomials (monic): case 3
151 Algebra – products and factors Quadratic trinomials (monic): case 4
152 Algebra – products and factors Factorisation of nonmonic quadratic trinomials
153 Graphs part 1 The parabola: to describe properties of a parabola from its equation
154 Graphs part 1 Quadratic polynomials of the form y = ax^2 + bx + c
155 Graphs part 1 Graphing perfect squares: y=(a-x) squared
156 Graphs part 1 Graphing irrational roots
157 Graphs part 1 Solving simultaneous equations graphically
158 Algebra – quadratic equations Introduction to quadratic equations
159 Algebra – quadratic equations Solving quadratic equations with factorisation
160 Algebra – quadratic equations Solving quadratic equations
161 Algebra – quadratic equations Completing the square
162 Algebra – quadratic equations Solving quadratic equations by completing the square
163 Algebra – quadratic equations The quadratic formula
164 Algebra – quadratic equations Problem solving with quadratic equations
165 Algebra – quadratic equations Solving simultaneous quadratic equations graphically
166 Conic sections The parabola
Sr. Topics Sub-Topics
1 The characteristics of electricity Electricity
2 The characteristics of electricity Non-renewable and renewable sources
3 The characteristics of electricity Static and current electricity
4 The characteristics of electricity Production and consumption of electrical energy
5 The characteristics of electricity Static electricity with alternating current (ac) and direct current (dc)
6 Electrical applications Determine the energy consumption of various appliances
7 Electrical applications Transfer of static electric charges by friction, contact, and induction
8 Electrical applications Ability of different materials to hold or transfer electric charges
9 Electrical applications Circuit diagrams of, and construct series and parallel circuits
10 Electrical applications Effects of adding an identical load in series and in parallel
11 Electrical applications Quantitative relationships between current, potential difference, and resistance in a simple series circuit
12 Electrical applications Relation between potential difference v, electric current i, and resistance r, using the quantitative relationship v = ir [ai, c]
13 Electrical applications Efficiency of an energy converter
14 Electrical applications Characteristics of conductors and insulators
15 Electrical applications Environmental costs and benefits of using electrical energy
16 Light and geometric optics Properties of light
17 Light and geometric optics Reflection in plane and curved mirrors
18 Light and geometric optics Refraction in converging lenses
19 Light and geometric optics Reflection and refraction in lenses
20 Light and applications of optics Refraction in converging lenses
21 Light and applications of optics Reflection and refraction in lenses
Sr. Topics Sub-Topics
1 Atoms, elements, and compounds Elements and compounds
2 Atoms, elements, and compounds Molecular models to represent simple molecules (e.g., o2 , co2 , h2 o, nh3, ch4
3 Atoms, elements, and compounds Thomson model of the atom
4 Atoms, elements, and compounds Rutherford gold-foil experiment
5 Atoms, elements, and compounds Characteristics of neutrons, protons, and electrons
6 Atoms, elements, and compounds Patterns in the arrangements of electrons in the first 20 elements of the periodic table
7 Atoms, elements, and compounds Bohr-rutherford model
8 Atoms, elements, and compounds Relationship between the atomic structure of an element and the position of that element in the periodic table
9 Exploring matter Distinguish the substances by their physical and chemical properties
10 Exploring matter Chemical tests to identify some common gases (e.g., oxygen, hydrogen, carbon dioxide
11 Exploring matter Physical and chemical properties
12 Exploring matter Use of elements and compounds
13 Exploring matter Identify and use the symbols for common elements (e.g., c, cl, s, n) and the formulae for common compounds (e.g., h2 o, co2, nacl, o2 )
14 Chemical reactions Basic concept
15 Chemical reactions Chemical equation in words
16 Chemical reactions Chemical equation with molecular formulae
17 Chemical reactions Balance chemical equation
18 Chemical reactions and their practical applications Types of chemical reactions
19 Chemical reactions and their practical applications Identification of formation of product
20 Chemical reactions and their practical applications Factors changes during chemical reaction
21 Chemical reactions and their practical applications Characteristics of simple chemical reaction
Sr. Topics Sub-Topics
1 Sustainable ecosystems Ecosystems
2 Sustainable ecosystems Ecological balance
3 Sustainable ecosystems Relating science to technology, society, and the environment
4 Sustainable ecosystems Biotic and abiotic characteristics of sustainable and unsustainable terrestrial and aquatic ecosystems
5 Sustainable ecosystems Limiting factors of ecosystems
6 Sustainable ecosystems Sustainability of terrestrial ecosystems
7 Sustainable ecosystems Sustainability of aquatic ecosystems
8 Sustainable ecosystems Earth’s four spheres (biosphere, hydrosphere, lithosphere, atmosphere),
9 Sustainable ecosystems and human activity People's impact on the sustainability of ecosystems
10 Sustainable ecosystems and human activity Preservation of ecosystem
11 Sustainable ecosystems and human activity Human activity affects soil composition or soil fertility
12 Sustainable ecosystems and human activity Human activity affects water quality
13 Sustainable ecosystems and human activity Effect of human activity on the populations of terrestrial and aquatic ecosystems
14 Sustainable ecosystems and human activity Impact on the food supply for animals
15 Sustainable ecosystems and human activity Flow of energy and the cycling of matter within ecosystems
16 Tissues, organs, and systems of living things Tissues, organs, and systems of living things
17 Tissues, organs, and systems of living things Cell division
18 Tissues, organs, and systems of living things Cell specialization
19 Tissues, organs, and systems of living things Organs, and systems in animals and plants
20 Tissues, organs, and systems Various systems of living organism
21 Tissues, organs, and systems Hierarchical organization of cell
Sr. Topics Sub-Topics
1 Sentences The sentence
2 Vowels Vowels – long and short
3 Basic dictionary use Basic dictionary use
4 Capitalisation Capital letters 1
5 Punctuation Sentence endings
6 Common nouns Common nouns
7 Nouns Proper nouns
8 Verbs Simple verbs
9 Adjectives Adjectives
10 Adverbs Adverbs
11 Pronouns Pronouns
12 Parts of speech part b Conjunctions
13 Common errors Common errors in spelling and punctuation
14 Conjunctions – sentences Conjunctions – sentences
15 Capitalisation Capital letters 2
16 Parts of speech part h Articles and demonstratives
17 Antonyms and synonyms Antonyms and synonyms
18 Punctuation Commas 1
19 Commas 2 Commas 2
20 Spelling skills Spelling
21 Spelling skills Syllabification
22 Plurals Plurals 1 – simple
23 Plurals Plurals 2 – special rules
24 Nouns Collective and abstract nouns
25 Verbs Verbs – tense
26 Adjectives Adjectives – from nouns and verbs
27 Adjectives Adjectives – comparatives and superlatives
28 Parts of speech part a Prepositions
29 Punctuation skills part b Quotation marks
30 Apostrophe – possession Apostrophe – possession
31 Mnemonics Spelling – mnemonics
32 Prefixes Prefixes
33 Suffixes Suffixes
34 Similes and metaphors Similes and metaphors
35 Figurative language Onomatopoeia, assonance and alliteration
36 Homonyms – homophones and homographs Homonyms – homophones and homographs
37 Advanced dictionary use Advanced dictionary use
38 Vocabulary development Vocabulary
39 Phrases Phrases
40 Clauses Clauses
41 Simple and compound verbs Simple and compound verbs
42 Auxiliary verbs Auxiliary verbs
43 Subject-verb agreement Subject-verb agreement
44 Verb tense – compound Verb tense – compound
45 Plurals Plurals 3 – unusual
46 Pronouns Pronouns 2
47 Contractions Contractions
48 Common errors Common errors in writing
49 Verbs – active and passive voice Verbs – active and passive voice
50 Common errors Common errors in verb usage, spelling and punctuation
51 Colons and semi-colons Colons and semi-colons
52 Sentence structure part a Subject and predicate
53 Regular and irregular verbs Regular and irregular verbs
54 Verbs – infinitives Verbs – infinitives
55 Modal verbs Modal verbs
56 Participles – as verbs and adjectives Participles – as verbs and adjectives
57 Gerunds Gerunds
58 Interjections Interjections
59 Plurals Plurals 4 – unusual
60 Sentence improvement Sentence improvement
61 Punctuation Punctuation – various
62 Mass and count nouns Determiners
63 Transitive and intransitive verbs Transitive and intransitive verbs
64 Case – nouns and pronouns Case – nouns, pronouns and possessive adjectives
65 Plurals of foreign nouns Plurals 5 – foreign
66 Variety of expression Sentence construction
67 Figurative language Symbolism and personification
68 Review of figures of speech Review of figures of speech
69 Spelling skills Word usage
70 Essay writing 1 Essay writing 1
71 Essay writing 2 Essay writing 2
72 Letter writing Personal and business letters
Sr. Topics Sub-Topics
1 Surds/radicals Introducing surds
2 Surds/radicals Some rules for the operations with surds
3 Surds/radicals Simplifying surds
4 Surds/radicals Creating entire surds
5 Surds/radicals Adding and subtracting like surds
6 Surds/radicals Expanding surds
7 Surds/radicals Binomial expansions
8 Surds/radicals Conjugate binomials with surds
9 Surds/radicals Rationalising the denominator
10 Surds/radicals Rationalising binomial denominators
11 Algebra – basic Simplifying easy algebraic fractions
12 Algebra – basic Simplifying algebraic fractions using the index laws
13 Algebra – basic Algebraic fractions resulting in negative indices
14 Algebra – basic Factorisation of algebraic fractions including binomials
15 Algebra – basic Cancelling binomial factors in algebraic fractions
16 Indices/exponents Adding indices when multiplying terms with the same base
17 Indices/exponents Subtracting indices when dividing terms with the same base
18 Indices/exponents Multiplying indices when raising a power to a power
19 Indices/exponents Multiplying indices when raising to more than one term
20 Indices/exponents Terms raised to the power of zero
21 Indices/exponents Negative indices
22 Indices/exponents Fractional indices
23 Indices/exponents Complex fractions as indices
24 Graphs part 1 The parabola: to describe properties of a parabola from its equation
25 Graphs part 1 Quadratic polynomials of the form y = ax^2 + bx + c
26 Graphs part 1 Graphing perfect squares: y=(a-x) squared
27 Graphs part 1 Graphing irrational roots
28 Graphs part 1 Solving simultaneous equations graphically
29 Algebra – quadratic equations Solving quadratic equations
30 Algebra – quadratic equations Completing the square
31 Algebra – quadratic equations Solving quadratic equations by completing the square
32 Algebra – quadratic equations The quadratic formula
33 Algebra – quadratic equations Problem solving with quadratic equations
34 Algebra – quadratic equations Solving simultaneous quadratic equations graphically
35 Logarithms Powers of 2
36 Logarithms Equations of type log x to the base 3 = 4
37 Logarithms Equations of type log 32 to the base x = 5
38 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
39 Graphs part 2 General equation of a circle: determine and graph the equation
40 Graphs part 2 Graphing cubic curves
41 Graphs part 2 Absolute value equations
42 Graphs part 2 The rectangular hyperbola
43 Graphs part 2 The exponential function
44 Graphs part 2 Logarithmic functions
45 Conic sections Introduction to conic sections and their general equation
46 Conic sections The parabola
47 Conic sections Circles
48 Conic sections The ellipsis
49 Conic sections The hyperbola
50 Function Functions and relations: domain and range
51 Function Function notation
52 Function Selecting appropriate domain and range
53 Function Domain and range from graphical representations
54 Function Evaluating and graphing piecewise functions
55 Function Combining functions
56 Function Simplifying composite functions
57 Function Inverse functions
58 Function Graphing rational functions part 1
59 Function Graphing rational functions part 2
60 Function Parametric equations
61 Function Polynomial addition: in combining and simplifying functions
62 Function Parametric functions
63 Polynomials Introduction to polynomials
64 Polynomials The sum, difference and product of two polynomials
65 Series and sequences part 1 General sequences
66 Series and sequences part 1 Finding tn given sn
67 Series and sequences part 1 The arithmetic progression
68 Series and sequences part 1 Finding the position of a term in an a.p.
69 Series and sequences part 1 Given two terms of a.p. find the sequence
70 Series and sequences part 1 Arithmetic means
71 Series and sequences part 1 The sum to n terms of an a.p.
72 Series and sequences part 1 The geometric progression
73 Series and sequences part 1 Finding the position of a term in a g.p.
74 Series and sequences part 1 Given two terms of g.p. find the sequence
75 Series and sequences part 2 Geometric means
76 Series and sequences part 2 The sum to n terms of a g.p.
77 Series and sequences part 2 Sigma notation
78 Series and sequences part 2 Limiting sum or sum to infinity
79 Series and sequences part 2 Recurring decimals and the infinite g.p.
80 Series and sequences part 2 Compound interest
81 Series and sequences part 2 Superannuation
82 Series and sequences part 2 Time payments
83 Series and sequences part 2 Applications of arithmetic sequences
84 Probability The binomial theorem and binomial coefficients
85 Probability Binomial probabilities using the binomial theorem
86 Trigonometry part 1 Trigonometric ratios
87 Trigonometry part 1 Using the calculator
88 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 1 sin]
89 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 2 cosine]
90 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 3 tangent ratio]
91 Trigonometry part 1 Unknown in the denominator [case 4]
92 Trigonometry part 1 Bearings: the compass
93 Trigonometry part 1 Angles of elevation and depression
94 Trigonometry part 1 Trigonometric ratios in practical situations
95 Trigonometry part 1 Using the calculator to find an angle given a trigonometric ratio
96 Trigonometry part 1 Using the trigonometric ratios to find an angle in a right-angled triangle
97 Trigonometry part 1 Trigonometric ratios of 30, 45 and 60 degrees: exact ratios
98 Trigonometry part 1 The cosine rule to find an unknown side [case 1 sas]
99 Trigonometry part 1 The sine rule to find an unknown side: case 1
100 Trigonometry part 1 The sine rule: finding a side
101 Trigonometry part 1 The sine rule: finding an angle
102 Trigonometry part 2 Reciprocal ratios
103 Trigonometry part 2 Complementary angle results
104 Trigonometry part 2 Trigonometric identities
105 Trigonometry part 2 Angles of any magnitude
106 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
107 Trigonometry part 2 Graphing the trigonometric ratios i: sine curve
108 Trigonometry part 2 Graphing the trigonometric ratios ii: cosine curve
109 Trigonometry part 2 Graphing the trigonometric ratios iii: tangent curve
110 Trigonometry part 2 Graphing the trigonometric ratios iv: reciprocal ratios
111 Trigonometry part 2 Using one trig. ratio to find another
112 Algebra – products and factors Squaring a binomial (monic)
113 Algebra – products and factors Squaring a binomial (nonmonic)
114 Algebra – products and factors Expansions leading to the difference of two squares
115 Algebra – products and factors Products in simplification of algebraic expressions
116 Algebra – products and factors Larger expansions
117 Algebra – products and factors Highest common factor
118 Algebra – products and factors Factors by grouping
119 Algebra – products and factors Difference of two squares
120 Algebra – products and factors Common factor and the difference of two squares
121 Algebra – products and factors Quadratic trinomials (monic): case 1
122 Algebra – products and factors Quadratic trinomials (monic): case 2
123 Algebra – products and factors Quadratic trinomials (monic): case 3
124 Algebra – products and factors Quadratic trinomials (monic): case 4
125 Algebra – products and factors Factorisation of nonmonic quadratic trinomials
126 Algebra – products and factors Factorisation of nonmonic quadratic trinomials: moon method
127 Graphs part 1 The parabola: to describe properties of a parabola from its equation
128 Graphs part 1 Quadratic polynomials of the form y = ax^2 + bx + c
129 Graphs part 1 Graphing perfect squares: y=(a-x) squared
130 Graphs part 1 Graphing irrational roots
131 Graphs part 1 Solving simultaneous equations graphically
132 Algebra – quadratic equations Introduction to quadratic equations
133 Algebra – quadratic equations Solving quadratic equations with factorisation
134 Algebra – quadratic equations Solving quadratic equations
135 Algebra – quadratic equations Completing the square
136 Algebra – quadratic equations Solving quadratic equations by completing the square
137 Algebra – quadratic equations The quadratic formula
138 Algebra – quadratic equations Problem solving with quadratic equations
139 Algebra – quadratic equations Solving simultaneous quadratic equations graphically
140 Uniform motion The speed formula
141 Uniform motion Using subscripted variables
142 Uniform motion Uniform motion with equal distances
143 Uniform motion Uniform motion adding the distances
144 Uniform motion Uniform motion with unequal distances or time
145 Uniform motion Uniform motion problems where the rate is constant
146 Uniform motion Vertical motion under gravity: object dropped from rest
147 Uniform motion Vertical motion under gravity: initial velocity not zero
148 Indices/exponents Adding indices when multiplying terms with the same base
149 Indices/exponents Subtracting indices when dividing terms with the same base
150 Indices/exponents Multiplying indices when raising a power to a power
151 Indices/exponents Multiplying indices when raising to more than one term
152 Indices/exponents Terms raised to the power of zero
153 Indices/exponents Negative indices
154 Indices/exponents Fractional indices
155 Indices/exponents Complex fractions as indices
156 Algebra – basic Simplifying easy algebraic fractions
157 Algebra – basic Simplifying algebraic fractions using the index laws
158 Algebra – basic Algebraic fractions resulting in negative indices
159 Algebra – basic Factorisation of algebraic fractions including binomials
160 Algebra – basic Cancelling binomial factors in algebraic fractions
161 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
162 Graphs part 2 General equation of a circle: determine and graph the equation
163 Graphs part 2 Graphing cubic curves
164 Graphs part 2 Absolute value equations
165 Graphs part 2 The rectangular hyperbola
166 Graphs part 2 The exponential function
167 Graphs part 2 Logarithmic functions
168 Conic sections Introduction to conic sections and their general equation
169 Conic sections The parabola
170 Conic sections Circles
171 Conic sections The ellipsis
172 Conic sections The hyperbola
173 Function Functions and relations: domain and range
174 Function Function notation
175 Function Selecting appropriate domain and range
176 Function Domain and range from graphical representations
177 Function Evaluating and graphing piecewise functions
178 Function Combining functions
179 Function Simplifying composite functions
180 Function Inverse functions
181 Function Graphing rational functions part 1
182 Function Graphing rational functions part 2
183 Function Parametric equations
184 Function Polynomial addition: in combining and simplifying functions
185 Function Parametric functions
186 Logarithms Powers of 2
187 Logarithms Equations of type log x to the base 3 = 4
188 Logarithms Equations of type log 32 to the base x = 5
189 Series and sequences part 2 Compound interest
190 Series and sequences part 2 Superannuation
191 Series and sequences part 2 Time payments
192 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 1 sin]
193 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 2 cosine]
194 Trigonometry part 1 Using the trigonometric ratios to find unknown length [case 3 tangent ratio]
195 Trigonometry part 1 Unknown in the denominator [case 4]
196 Trigonometry part 1 Bearings: the compass
197 Trigonometry part 1 Angles of elevation and depression
198 Trigonometry part 1 Trigonometric ratios in practical situations
199 Trigonometry part 1 Using the calculator to find an angle given a trigonometric ratio
200 Trigonometry part 1 Using the trigonometric ratios to find an angle in a right-angled triangle
201 Trigonometry part 1 Trigonometric ratios of 30, 45 and 60 degrees: exact ratios
202 Trigonometry part 1 The cosine rule to find an unknown side [case 1 sas]
203 Trigonometry part 1 The sine rule to find an unknown side: case 1
204 Trigonometry part 1 The sine rule: finding a side
205 Trigonometry part 1 The sine rule: finding an angle
206 Trigonometry part 2 Graphing the trigonometric ratios i: sine curve
207 Algebra – products and factors Larger expansions
208 Algebra – products and factors Highest common factor
209 Algebra – products and factors Factors by grouping
210 Algebra – products and factors Difference of two squares
211 Algebra – products and factors Common factor and the difference of two squares
212 Algebra – products and factors Quadratic trinomials (monic): case 1
213 Algebra – products and factors Quadratic trinomials (monic): case 2
214 Algebra – products and factors Quadratic trinomials (monic): case 3
215 Algebra – products and factors Quadratic trinomials (monic): case 4
216 Algebra – products and factors Factorisation of nonmonic quadratic trinomials
217 Algebra – products and factors Factorisation of nonmonic quadratic trinomials: moon method
218 Algebra – products and factors Sum and difference of two cubes
219 Algebra – products and factors Simplifying algebraic fractions
220 Graphs part 1 The parabola: to describe properties of a parabola from its equation
221 Graphs part 1 Quadratic polynomials of the form y = ax^2 + bx + c
222 Graphs part 1 Graphing perfect squares: y=(a-x) squared
223 Graphs part 1 Graphing irrational roots
224 Graphs part 1 Solving simultaneous equations graphically
225 Algebra – quadratic equations Introduction to quadratic equations
226 Algebra – quadratic equations Solving quadratic equations with factorisation
227 Algebra – quadratic equations Solving quadratic equations
228 Algebra – quadratic equations Completing the square
229 Algebra – quadratic equations Solving quadratic equations by completing the square
230 Algebra – quadratic equations The quadratic formula
231 Algebra – quadratic equations Problem solving with quadratic equations
232 Algebra – quadratic equations Solving simultaneous quadratic equations graphically
233 Graphs part 2 Graphing complex polynomials: quadratics with no real roots
234 Uniform motion The speed formula
235 Uniform motion Using subscripted variables
236 Uniform motion Uniform motion with equal distances
237 Uniform motion Uniform motion adding the distances
238 Uniform motion Uniform motion with unequal distances or time
239 Uniform motion Uniform motion problems where the rate is constant
240 Uniform motion Vertical motion under gravity: object dropped from rest
241 Uniform motion Vertical motion under gravity: initial velocity not zero
242 Indices/exponents Adding indices when multiplying terms with the same base
243 Indices/exponents Subtracting indices when dividing terms with the same base
244 Indices/exponents Multiplying indices when raising a power to a power
245 Indices/exponents Multiplying indices when raising to more than one term
246 Indices/exponents Terms raised to the power of zero
247 Indices/exponents Negative indices
248 Indices/exponents Fractional indices
249 Indices/exponents Complex fractions as indices
250 Logarithms Powers of 2
251 Graphs part 2 The exponential function
252 Series and sequences part 1 The geometric progression
253 Series and sequences part 1 Finding the position of a term in a g.p.
254 Series and sequences part 1 Given two terms of g.p. find the sequence
255 Series and sequences part 2 Geometric means
256 Series and sequences part 2 The sum to n terms of a g.p.
257 Series and sequences part 2 Sigma notation
258 Series and sequences part 2 Limiting sum or sum to infinity
259 Series and sequences part 2 Recurring decimals and the infinite g.p.
260 Series and sequences part 2 Compound interest
261 Series and sequences part 2 Superannuation
262 Series and sequences part 2 Time payments
263 Space Recognise nets for prisms, pyramids, cubes and cones
264 Space Viewing 3-d shapes
265 Measurement – advanced area Area of a circle
266 Measurement – advanced area Area of regular polygons and composite figures
267 Measurement – advanced volume Finding the volume of prisms
268 Measurement – advanced volume Volume of a cylinder and sphere
269 Measurement – advanced volume Volume of pyramids and cones
270 Measurement – advanced volume Composite solids
271 Trigonometry part 1 Angles of elevation and depression
272 Trigonometry part 1 Trigonometric ratios in practical situations
273 Trigonometry part 1 The cosine rule to find an unknown side [case 1 sas]
274 Trigonometry part 1 The sine rule to find an unknown side: case 1
275 Trigonometry part 1 The sine rule: finding a side
276 Trigonometry part 1 The sine rule: finding an angle
277 Graphs – basic Column graphs
278 Graphs – basic Line graphs
279 Graphs – basic Pie and bar graphs
280 Statistics part 1 Frequency distribution table
281 Statistics part 1 Frequency histograms and polygons
282 Statistics part 1 Relative frequency
283 Statistics part 1 The range
284 Statistics part 1 The mode
285 Statistics part 1 The mean
286 Statistics part 1 The median
287 Statistics part 1 Cumulative frequency
288 Statistics part 1 Calculating the mean from a frequency distribution
289 Statistics part 2 Calculating mean, mode and median from grouped data
290 Statistics part 2 Using the calculator for statistics
291 Statistics part 2 Measures of spread
292 Statistics part 2 Standard deviation applications
293 Statistics part 2 Applications of standard deviation
294 Statistics part 2 The normal distribution
295 Statistics part 2 Measures of spread: the interquartile range
296 Statistics part 1 Stem and leaf plots along with box and whisker plots
297 Statistics part 1 The scatter plot
298 Probability Simple events
299 Probability Rolling a pair of dice
300 Probability Experimental probability
301 Probability Experimental probability
302 Decimals Using decimals – shopping problems
303 Percentages Calculating percentages and fractions of quantities
304 Percentages One quantity as a percentage of another
305 Series and sequences part 2 Compound interest
306 Measurement – length Read and calculate distances on a map using the formal unit kilometre
307 Geometry transformations Geometry transformations without matrices: mixed and combined transformations
Sr. Topics Sub-Topics
1 The characteristics of electricity Electricity
2 The characteristics of electricity Non-renewable and renewable sources
3 The characteristics of electricity Static and current electricity
4 The characteristics of electricity Production and consumption of electrical energy
5 The characteristics of electricity Static electricity with alternating current (ac) and direct current (dc)
6 Electrical applications Determine the energy consumption of various appliances
7 Electrical applications Transfer of static electric charges by friction, contact, and induction
8 Electrical applications Ability of different materials to hold or transfer electric charges
9 Electrical applications Circuit diagrams of, and construct series and parallel circuits
10 Electrical applications Effects of adding an identical load in series and in parallel
11 Electrical applications Quantitative relationships between current, potential difference, and resistance in a simple series circuit
12 Electrical applications Relation between potential difference v, electric current i, and resistance r, using the quantitative relationship v = ir [ai, c]
13 Electrical applications Efficiency of an energy converter
14 Electrical applications Characteristics of conductors and insulators
15 Electrical applications Environmental costs and benefits of using electrical energy
16 Light and geometric optics Properties of light
17 Light and geometric optics Reflection in plane and curved mirrors
18 Light and geometric optics Refraction in converging lenses
19 Light and geometric optics Reflection and refraction in lenses
20 Light and applications of optics Refraction in converging lenses
21 Light and applications of optics Reflection and refraction in lenses
Sr. Topics Sub-Topics
1 Atoms, elements, and compounds Elements and compounds
2 Atoms, elements, and compounds Molecular models to represent simple molecules (e.g., o2 , co2 , h2 o, nh3, ch4
3 Atoms, elements, and compounds Thomson model of the atom
4 Atoms, elements, and compounds Rutherford gold-foil experiment
5 Atoms, elements, and compounds Characteristics of neutrons, protons, and electrons
6 Atoms, elements, and compounds Patterns in the arrangements of electrons in the first 20 elements of the periodic table
7 Atoms, elements, and compounds Bohr-rutherford model
8 Atoms, elements, and compounds Relationship between the atomic structure of an element and the position of that element in the periodic table
9 Exploring matter Distinguish the substances by their physical and chemical properties
10 Exploring matter Chemical tests to identify some common gases (e.g., oxygen, hydrogen, carbon dioxide
11 Exploring matter Physical and chemical properties
12 Exploring matter Use of elements and compounds
13 Exploring matter Identify and use the symbols for common elements (e.g., c, cl, s, n) and the formulae for common compounds (e.g., h2 o, co2, nacl, o2 )
14 Chemical reactions Basic concept
15 Chemical reactions Chemical equation in words
16 Chemical reactions Chemical equation with molecular formulae
17 Chemical reactions Balance chemical equation
18 Chemical reactions and their practical applications Types of chemical reactions
19 Chemical reactions and their practical applications Identification of formation of product
20 Chemical reactions and their practical applications Factors changes during chemical reaction
21 Chemical reactions and their practical applications Characteristics of simple chemical reaction
Sr. Topics Sub-Topics
1 Sustainable ecosystems Ecosystems
2 Sustainable ecosystems Ecological balance
3 Sustainable ecosystems Relating science to technology, society, and the environment
4 Sustainable ecosystems Biotic and abiotic characteristics of sustainable and unsustainable terrestrial and aquatic ecosystems
5 Sustainable ecosystems Limiting factors of ecosystems
6 Sustainable ecosystems Sustainability of terrestrial ecosystems
7 Sustainable ecosystems Sustainability of aquatic ecosystems
8 Sustainable ecosystems Earth’s four spheres (biosphere, hydrosphere, lithosphere, atmosphere),
9 Sustainable ecosystems and human activity People's impact on the sustainability of ecosystems
10 Sustainable ecosystems and human activity Preservation of ecosystem
11 Sustainable ecosystems and human activity Human activity affects soil composition or soil fertility
12 Sustainable ecosystems and human activity Human activity affects water quality
13 Sustainable ecosystems and human activity Effect of human activity on the populations of terrestrial and aquatic ecosystems
14 Sustainable ecosystems and human activity Impact on the food supply for animals
15 Sustainable ecosystems and human activity Flow of energy and the cycling of matter within ecosystems
16 Tissues, organs, and systems of living things Tissues, organs, and systems of living things
17 Tissues, organs, and systems of living things Cell division
18 Tissues, organs, and systems of living things Cell specialization
19 Tissues, organs, and systems of living things Organs, and systems in animals and plants
20 Tissues, organs, and systems Various systems of living organism
21 Tissues, organs, and systems Hierarchical organization of cell
Sr. Topics Sub-Topics
1 Sentences The sentence
2 Vowels Vowels – long and short
3 Basic dictionary use Basic dictionary use
4 Capitalisation Capital letters 1
5 Punctuation Sentence endings
6 Common nouns Common nouns
7 Nouns Proper nouns
8 Verbs Simple verbs
9 Adjectives Adjectives
10 Adverbs Adverbs
11 Pronouns Pronouns
12 Parts of speech part b Conjunctions
13 Common errors Common errors in spelling and punctuation
14 Conjunctions – sentences Conjunctions – sentences
15 Capitalisation Capital letters 2
16 Parts of speech part h Articles and demonstratives
17 Antonyms and synonyms Antonyms and synonyms
18 Punctuation Commas 1
19 Commas 2 Commas 2
20 Spelling skills Spelling
21 Spelling skills Syllabification
22 Plurals Plurals 1 – simple
23 Plurals Plurals 2 – special rules
24 Nouns Collective and abstract nouns
25 Verbs Verbs – tense
26 Adjectives Adjectives – from nouns and verbs
27 Adjectives Adjectives – comparatives and superlatives
28 Parts of speech part a Prepositions
29 Punctuation skills part b Quotation marks
30 Apostrophe – possession Apostrophe – possession
31 Mnemonics Spelling – mnemonics
32 Prefixes Prefixes
33 Suffixes Suffixes
34 Similes and metaphors Similes and metaphors
35 Figurative language Onomatopoeia, assonance and alliteration
36 Homonyms – homophones and homographs Homonyms – homophones and homographs
37 Advanced dictionary use Advanced dictionary use
38 Vocabulary development Vocabulary
39 Phrases Phrases
40 Clauses Clauses
41 Simple and compound verbs Simple and compound verbs
42 Auxiliary verbs Auxiliary verbs
43 Subject-verb agreement Subject-verb agreement
44 Verb tense – compound Verb tense – compound
45 Plurals Plurals 3 – unusual
46 Pronouns Pronouns 2
47 Contractions Contractions
48 Common errors Common errors in writing
49 Verbs – active and passive voice Verbs – active and passive voice
50 Common errors Common errors in verb usage, spelling and punctuation
51 Colons and semi-colons Colons and semi-colons
52 Sentence structure part a Subject and predicate
53 Regular and irregular verbs Regular and irregular verbs
54 Verbs – infinitives Verbs – infinitives
55 Modal verbs Modal verbs
56 Participles – as verbs and adjectives Participles – as verbs and adjectives
57 Gerunds Gerunds
58 Interjections Interjections
59 Plurals Plurals 4 – unusual
60 Sentence improvement Sentence improvement
61 Punctuation Punctuation – various
62 Mass and count nouns Determiners
63 Transitive and intransitive verbs Transitive and intransitive verbs
64 Case – nouns and pronouns Case – nouns, pronouns and possessive adjectives
65 Plurals of foreign nouns Plurals 5 – foreign
66 Variety of expression Sentence construction
67 Figurative language Symbolism and personification
68 Review of figures of speech Review of figures of speech
69 Spelling skills Word usage
70 Essay writing 1 Essay writing 1
71 Essay writing 2 Essay writing 2
72 Letter writing Personal and business letters
Sr. Topics Sub-Topics
1 Indices/exponents Adding indices when multiplying terms with the same base
2 Indices/exponents Subtracting indices when dividing terms with the same base
3 Indices/exponents Multiplying indices when raising a power to a power
4 Indices/exponents Multiplying indices when raising to more than one term
5 Indices/exponents Terms raised to the power of zero
6 Indices/exponents Negative indices
7 Indices/exponents Fractional indices
8 Indices/exponents Complex fractions as indices
9 Logarithms Powers of 2
10 Logarithms Equations of type log x to the base 3 = 4
11 Logarithms Equations of type log 32 to the base x = 5
12 Logarithms Laws of logarithms
13 Logarithms Using the log laws to expand logarithmic expressions
14 Logarithms Using the log laws to simplify expressions involving logarithms
15 Logarithms Using the log laws to find the logarithms of numbers
16 Logarithms Equations involving logarithms
17 Logarithms Using logarithms to solve equations
18 Logarithms Change of base formula
19 Logarithms The graph of the logarithmic curve
20 Logarithms The graph of the logarithmic curve
21 Graphs part 2 The exponential function
22 Graphs part 2 Logarithmic functions
23 Trigonometry part 1 Angles of elevation and depression
24 Trigonometry part 1 Trigonometric ratios in practical situations
25 Trigonometry part 1 Using the calculator to find an angle given a trigonometric ratio
26 Trigonometry part 1 Using the trigonometric ratios to find an angle in a right-angled triangle
27 Trigonometry part 1 Trigonometric ratios of 30, 45 and 60 degrees: exact ratios
28 Trigonometry part 2 Reciprocal ratios
29 Trigonometry part 2 Complementary angle results
30 Trigonometry part 2 Trigonometric identities
31 Trigonometry part 2 Angles of any magnitude
32 Trigonometry part 2 Trigonometric ratios of 0°, 90°, 180°, 270° and 360°
33 Trigonometry part 2 Graphing the trigonometric ratios i: sine curve
34 Trigonometry part 2 Graphing the trigonometric ratios ii: cosine curve
35 Trigonometry part 2 Graphing the trigonometric ratios iii: tangent curve
36 Trigonometry part 2 Graphing the trigonometric ratios iv: reciprocal ratios
37 Trigonometry part 2 Using one trig. ratio to find another
38 Trigonometry part 2 Solving trigonometric equations – type i
39 Trigonometry part 2 Solving trigonometric equations – type ii
40 Trigonometry part 2 Solving trigonometric equations – type iii
41 Trigonometry part 2 Trigonometric sum and difference identities
42 Trigonometry part 2 Double angle identities
43 Trigonometry part 2 Half-angle identities
44 Polynomials Introduction to polynomials
45 Polynomials The sum, difference and product of two polynomials
46 Polynomials Polynomials and long division
47 Polynomials The remainder theorem
48 Polynomials More on remainder theorem
49 Polynomials The factor theorem
50 Polynomials More on the factor theorem
51 Polynomials Complete factorisations using the factor theorem
52 Polynomials Polynomial equations
53 Polynomials Graphs of polynomials
54 Graphs part 2 The rectangular hyperbola
55 Function Functions and relations: domain and range
56 Function Function notation
57 Function Selecting appropriate domain and range
58 Function Domain and range from graphical representations
59 Function Evaluating and graphing piecewise functions
60 Function Combining functions
61 Function Simplifying composite functions
62 Function Inverse functions
63 Function Graphing rational functions part 1
64 Function Graphing rational functions part 2
65 Function Parametric equations
66 Function Polynomial addition: in combining and simplifying functions
67 Uniform motion The speed formula
68 Uniform motion Using subscripted variables
69 Uniform motion Uniform motion with equal distances
70 Uniform motion Uniform motion adding the distances
71 Uniform motion Uniform motion with unequal distances or time
72 Uniform motion Uniform motion problems where the rate is constant
73 Uniform motion Vertical motion under gravity: object dropped from rest
74 Uniform motion Vertical motion under gravity: initial velocity not zero
75 Co-ordinate geometry part 2 Two point formula: equation of a line which joins a pair of points
76 Co-ordinate geometry part 2 Intercept form of a straight line: find the equation when given x and y
77 Co-ordinate geometry part 2 Parallel lines: identify equation of a line parallel to another
78 Co-ordinate geometry part 2 Perpendicular lines
79 Co-ordinate geometry part 2 Inequalities on the number plane
80 Co-ordinate geometry part 2 Perpendicular distance
81 Co-ordinate geometry part 2 Line through the intersection of two given lines
82 Co-ordinate geometry part 2 Angles between two lines
83 Co-ordinate geometry part 2 Transformations: reflections
84 Geometry transformations Geometry transformations without matrices: translation
85 Geometry transformations Geometry transformations without matrices: rotation
86 Geometry transformations Geometry transformations without matrices: dilation or enlargement
87 Geometry transformations Geometry transformations without matrices: mixed and combined transformations
88 Graphs part 2 The exponential function
89 Calculus part 1 Limits
90 Calculus part 1 Differentiation from first principles
91 Calculus part 1 Differentiation of y = x to the power of n
92 Calculus part 1 Meaning of dy over dx – equations of tangents and normals
93 Calculus part 1 Function of a function rule, product rule, quotient rule.
94 Calculus part 1 Increasing, decreasing and stationary functions.
95 Calculus part 1 The second derivative – concavity.
96 Calculus part 1 Classification of stationary points.
97 Calculus part 2 Curve sketching.
98 Calculus part 2 Practical applications of maxima and minima.
99 Polar coordinates Polar coordinates – plotting and converting
100 Polar coordinates Converting rectangular coordinates to polar form
101 Matrices Vectors
102 Matrices – linear systems Number of solutions
103 Matrices – linear systems Vector addition in 2 and 3d
104 Matrices – linear systems Optimal solutions
105 Function Functions and relations: domain and range
106 Function Function notation
107 Function Selecting appropriate domain and range
108 Function Domain and range from graphical representations
109 Function Evaluating and graphing piecewise functions
110 Function Combining functions
111 Function Simplifying composite functions
112 Function Inverse functions
113 Function Graphing rational functions part 1
114 Function Graphing rational functions part 2
115 Function Parametric equations
116 Function Polynomial addition: in combining and simplifying functions
117 Function Parametric functions
Sr. Topics Sub-Topics
1 The characteristics of electricity Electricity
2 The characteristics of electricity Non-renewable and renewable sources
3 The characteristics of electricity Static and current electricity
4 The characteristics of electricity Production and consumption of electrical energy
5 The characteristics of electricity Static electricity with alternating current (ac) and direct current (dc)
6 Electrical applications Determine the energy consumption of various appliances
7 Electrical applications Transfer of static electric charges by friction, contact, and induction
8 Electrical applications Ability of different materials to hold or transfer electric charges
9 Electrical applications Circuit diagrams of, and construct series and parallel circuits
10 Electrical applications Effects of adding an identical load in series and in parallel
11 Electrical applications Quantitative relationships between current, potential difference, and resistance in a simple series circuit
12 Electrical applications Relation between potential difference v, electric current i, and resistance r, using the quantitative relationship v = ir [ai, c]
13 Electrical applications Efficiency of an energy converter
14 Electrical applications Characteristics of conductors and insulators
15 Electrical applications Environmental costs and benefits of using electrical energy
16 Light and geometric optics Properties of light
17 Light and geometric optics Reflection in plane and curved mirrors
18 Light and geometric optics Refraction in converging lenses
19 Light and geometric optics Reflection and refraction in lenses
20 Light and applications of optics Refraction in converging lenses
21 Light and applications of optics Reflection and refraction in lenses
Sr. Topics Sub-Topics
1 Atoms, elements, and compounds Elements and compounds
2 Atoms, elements, and compounds Molecular models to represent simple molecules (e.g., o2 , co2 , h2 o, nh3, ch4
3 Atoms, elements, and compounds Thomson model of the atom
4 Atoms, elements, and compounds Rutherford gold-foil experiment
5 Atoms, elements, and compounds Characteristics of neutrons, protons, and electrons
6 Atoms, elements, and compounds Patterns in the arrangements of electrons in the first 20 elements of the periodic table
7 Atoms, elements, and compounds Bohr-rutherford model
8 Atoms, elements, and compounds Relationship between the atomic structure of an element and the position of that element in the periodic table
9 Exploring matter Distinguish the substances by their physical and chemical properties
10 Exploring matter Chemical tests to identify some common gases (e.g., oxygen, hydrogen, carbon dioxide
11 Exploring matter Physical and chemical properties
12 Exploring matter Use of elements and compounds
13 Exploring matter Identify and use the symbols for common elements (e.g., c, cl, s, n) and the formulae for common compounds (e.g., h2 o, co2, nacl, o2 )
14 Chemical reactions Basic concept
15 Chemical reactions Chemical equation in words
16 Chemical reactions Chemical equation with molecular formulae
17 Chemical reactions Balance chemical equation
18 Chemical reactions and their practical applications Types of chemical reactions
19 Chemical reactions and their practical applications Identification of formation of product
20 Chemical reactions and their practical applications Factors changes during chemical reaction
21 Chemical reactions and their practical applications Characteristics of simple chemical reaction
Sr. Topics Sub-Topics
1 Sustainable ecosystems Ecosystems
2 Sustainable ecosystems Ecological balance
3 Sustainable ecosystems Relating science to technology, society, and the environment
4 Sustainable ecosystems Biotic and abiotic characteristics of sustainable and unsustainable terrestrial and aquatic ecosystems
5 Sustainable ecosystems Limiting factors of ecosystems
6 Sustainable ecosystems Sustainability of terrestrial ecosystems
7 Sustainable ecosystems Sustainability of aquatic ecosystems
8 Sustainable ecosystems Earth’s four spheres (biosphere, hydrosphere, lithosphere, atmosphere),
9 Sustainable ecosystems and human activity People's impact on the sustainability of ecosystems
10 Sustainable ecosystems and human activity Preservation of ecosystem
11 Sustainable ecosystems and human activity Human activity affects soil composition or soil fertility
12 Sustainable ecosystems and human activity Human activity affects water quality
13 Sustainable ecosystems and human activity Effect of human activity on the populations of terrestrial and aquatic ecosystems
14 Sustainable ecosystems and human activity Impact on the food supply for animals
15 Sustainable ecosystems and human activity Flow of energy and the cycling of matter within ecosystems
16 Tissues, organs, and systems of living things Tissues, organs, and systems of living things
17 Tissues, organs, and systems of living things Cell division
18 Tissues, organs, and systems of living things Cell specialization
19 Tissues, organs, and systems of living things Organs, and systems in animals and plants
20 Tissues, organs, and systems Various systems of living organism
21 Tissues, organs, and systems Hierarchical organization of cell
Sr. Topics Sub-Topics
1 Sentences The sentence
2 Vowels Vowels – long and short
3 Basic dictionary use Basic dictionary use
4 Capitalisation Capital letters 1
5 Punctuation Sentence endings
6 Common nouns Common nouns
7 Nouns Proper nouns
8 Verbs Simple verbs
9 Adjectives Adjectives
10 Adverbs Adverbs
11 Pronouns Pronouns
12 Parts of speech part b Conjunctions
13 Common errors Common errors in spelling and punctuation
14 Conjunctions – sentences Conjunctions – sentences
15 Capitalisation Capital letters 2
16 Parts of speech part h Articles and demonstratives
17 Antonyms and synonyms Antonyms and synonyms
18 Punctuation Commas 1
19 Commas 2 Commas 2
20 Spelling skills Spelling
21 Spelling skills Syllabification
22 Plurals Plurals 1 – simple
23 Plurals Plurals 2 – special rules
24 Nouns Collective and abstract nouns
25 Verbs Verbs – tense
26 Adjectives Adjectives – from nouns and verbs
27 Adjectives Adjectives – comparatives and superlatives
28 Parts of speech part a Prepositions
29 Punctuation skills part b Quotation marks
30 Apostrophe – possession Apostrophe – possession
31 Mnemonics Spelling – mnemonics
32 Prefixes Prefixes
33 Suffixes Suffixes
34 Similes and metaphors Similes and metaphors
35 Figurative language Onomatopoeia, assonance and alliteration
36 Homonyms – homophones and homographs Homonyms – homophones and homographs
37 Advanced dictionary use Advanced dictionary use
38 Vocabulary development Vocabulary
39 Phrases Phrases
40 Clauses Clauses
41 Simple and compound verbs Simple and compound verbs
42 Auxiliary verbs Auxiliary verbs
43 Subject-verb agreement Subject-verb agreement
44 Verb tense – compound Verb tense – compound
45 Plurals Plurals 3 – unusual
46 Pronouns Pronouns 2
47 Contractions Contractions
48 Common errors Common errors in writing
49 Verbs – active and passive voice Verbs – active and passive voice
50 Common errors Common errors in verb usage, spelling and punctuation
51 Colons and semi-colons Colons and semi-colons
52 Sentence structure part a Subject and predicate
53 Regular and irregular verbs Regular and irregular verbs
54 Verbs – infinitives Verbs – infinitives
55 Modal verbs Modal verbs
56 Participles – as verbs and adjectives Participles – as verbs and adjectives
57 Gerunds Gerunds
58 Interjections Interjections
59 Plurals Plurals 4 – unusual
60 Sentence improvement Sentence improvement
61 Punctuation Punctuation – various
62 Mass and count nouns Determiners
63 Transitive and intransitive verbs Transitive and intransitive verbs
64 Case – nouns and pronouns Case – nouns, pronouns and possessive adjectives
65 Plurals of foreign nouns Plurals 5 – foreign
66 Variety of expression Sentence construction
67 Figurative language Symbolism and personification
68 Review of figures of speech Review of figures of speech
69 Spelling skills Word usage
70 Essay writing 1 Essay writing 1
71 Essay writing 2 Essay writing 2
72 Letter writing Personal and business letters

Post-Secondary Students

In Canada, there are 3 different types of post-secondary schools- universities, colleges and institutes. At most post-secondary schools, the school year is divided into 2 main terms and an optional summer term. Typically term 1 starts in September and runs till December. Then post the winter break students start term 2 in January and end in April and there is also an optional summer term that typically runs from May to August each year. At TutorEye Canada, we offer assignment help and online tutoring support to post-secondary students.

Sr. Topics Sub-Topics
1 Elementary algebra Real number system
2 Elementary algebra Linear equations
3 Elementary algebra Linear inequalities
4 Elementary algebra Graphing
5 Elementary algebra Systems of equations
6 Elementary algebra Integer exponents
7 Elementary algebra Polynomials
8 Elementary algebra Factoring
9 Elementary algebra Proportions
10 Elementary algebra Rational expressions
11 Intermediate algebra Absolute value
12 Intermediate algebra Lines and graphs
13 Intermediate algebra Functions
14 Intermediate algebra Rational exponents
15 Intermediate algebra Radical expressions and equations
16 Intermediate algebra Quadratic equations and graphs
17 Intermediate algebra Exponential functions
18 Intermediate algebra Logarithmic functions
19 Elementary finite mathematics Linear functions
20 Elementary finite mathematics System of linear equations
21 Elementary finite mathematics Inequalities
22 Elementary finite mathematics Matrices
23 Elementary finite mathematics Mathematics of finance
24 Elementary finite mathematics Linear programming
25 Elementary finite mathematics Set theory
26 Elementary finite mathematics Counting theory
27 Elementary finite mathematics Probability.
28 Statistics Elementary algebra
29 Statistics Intermediate algebra
30 Statistics Descriptive statistics
31 Statistics Ratios
32 Statistics Rates, and proportional reasoning
33 Statistics Arithmetic reasoning using fractions
34 Statistics Decimals and percents
35 Statistics Evaluating expressions
36 Statistics Use of linear, quadratic, absolute value
37 Statistics Exponential, and logarithmic functions to model bivariate data
38 Statistics Graphical and numerical descriptive statistics for quantitative and categorical data.
39 Probability and statistics Probability distributions
40 Probability and statistics Hypothesis testing
41 Probability and statistics Estimates and sample sizes
42 Probability and statistics Correlation and regression
43 Probability and statistics Chi-square tests,
44 Probability and statistics Analysis of variance
45 Probability and statistics Nonparametric statistics
46 Calculus Functions
47 Calculus Function families, their properties and transformations ( linear, trigonometric, logarithmic, exponential, polynomial, power, and rational)
48 Calculus Compositions, inverses and combinations
49 Calculus Complex numbers
50 Calculus Vectors
51 Business calculus Review of functions
52 Business calculus Applications of the derivative
53 Business calculus Introduction to the integral
54 Business calculus Techniques of integration
55 Business calculus Introduction to trigonometry
56 Business calculus Multivariable calculus
57 Business calculus Differential equations.
58 Analytical geometry and calculus i Limits
59 Analytical geometry and calculus i , continuity of functions
60 Analytical geometry and calculus i Definition of differentiation
61 Analytical geometry and calculus i Derivation of formulas
62 Analytical geometry and calculus i Anti-differentiation and the fundamental theorem of calculus.
63 Analytical geometry and calculus ii Fundamental theorem of calculus
64 Analytical geometry and calculus ii Antiderivatives
65 Analytical geometry and calculus ii Integral applications and techniques
66 Analytical geometry and calculus ii Power series and infinite series
67 Analytical geometry and calculus ii Series testing and analysis of taylor and power series.
68 Analytic geometry and calculus iii Calculus of multivariable functions
69 Analytic geometry and calculus iii Vectors, partial derivatives
70 Analytic geometry and calculus iii Double and triple integrals
71 Analytic geometry and calculus iii Line integrals
72 Analytic geometry and calculus iii Cector analysis theory such as green's, stokes', and gauss' theorems.
73 Linear algebra Application of vectors and matrices to systems of linear equations
74 Linear algebra Linear transformations
75 Linear algebra Eigenvectors and eigenvalues
76 Linear algebra Vector spaces and inner products.
77 Ordinary differential equations Differential equations
78 Ordinary differential equations Analytical, graphical and numerical solutions of linear differential equations
79 Ordinary differential equations Systems of linear differential equations
80 Ordinary differential equations Power-series solutions of nonlinear differential equations
81 Ordinary differential equations Linear differential equations with constant coefficients by laplace transforms.
82 Pre-algebra Fundamental processes in arithmetic
83 Pre-algebra Mathematical notation
84 Pre-algebra Translating words into symbols,
85 Pre-algebra Properties of the real number system
86 Pre-algebra Introduction to geometry and algebra.
Sr. Topics Sub-Topics
1 General physics i Calculus-based physics
2 General physics i Stressing experimental
3 General physics i Mechanics
4 General physics i Kinematics
5 General physics i Newton's laws of motion
6 General physics i Conservation laws
7 General physics i Rotational motion
8 General physics i Gravitation
9 General physics i Oscillation
10 General physics i Wave/acoustics
11 General physics ii Thermal properties and electromagnetism
12 General physics ii Thermo dynamics
13 General physics ii Electricity
14 General physics ii Magnetism
15 General physics ii Electromagnetic wave
16 General physics ii Geometrical optics
17 General physics ii Physics optics.
18 General physics iii Modern physics
19 General physics iii Quantum theory and relativity theory
20 General physics iii Quantum mechanical description of semiconductor physics
21 Analog electronics Fundamental principles of electronics circuits
22 Analog electronics Electronic components like passive devices and integrated circuit chips
23 Analog electronics Basic circuit theory
24 Analog electronics Diode applications
25 Analog electronics Bipolar and filed effect transistors
26 Analog electronics Operational amplifiers
27 Analog electronics Basic ttl gates
28 Analog electronics Computers and data communication devices.
29 Digital electronics Digital electronics
30 Digital electronics Computer architecture
31 Digital electronics Digital signal processing technology
32 Digital electronics Computer science and telecommunication technologies
33 Digital electronics Digital circuits
34 Digital electronics Digital integrated circuits and digital/analog interface chips
35 Digital electronics Designing and constructing a prototype computer
36 Digital electronics Interfaces
37 Digital electronics Digital signal processing circuits.
38 Computational physics Simulation techniques
39 Computational physics Classical mechanics
40 Computational physics Electromagnetism
41 Computational physics Thermal/statistical physics
42 Computational physics Quantum mechanics
43 Electronics communication Fundamental technology of wireless and cable telecommunications
44 Electronics communication Modulation/demodulation and noise reduction for high-fidelity electronic and data communications
45 Electronics communication Digital broadband technology
46 Electronics communication Transition from electronics (application of electrons) to photonics (application of lights and photons)
47 Physics of information theory Information and computation theories
48 Physics of information theory Concept of entropy and negative entropy in thermodynamics
49 Physics of information theory Noise in electric communication
50 Physics of information theory Introduction to quantum computation and information
51 Physics of information theory Quantum computation/information
52 Physics of information theory Fundamental knowledge of classical and quantum computation/information.
Sr. Topics Sub-Topics
1 General chemistry i Atomic structure
2 General chemistry i Bonding theory
3 General chemistry i Aggregated states of matter
4 General chemistry i Stoichiometry
5 General chemistry i Thermodynamics
6 General chemistry i Chemical kinetics
7 General chemistry i Chemical equilibrium
8 General chemistry i Electrochemistry
9 General chemistry i - lab Laboratory techniques and familiarization with basic laboratory equipment
10 Organic chemistry i Classification and characterization of organic compounds
11 Organic chemistry i Preparation, properties and reactions of organc compounds
12 Organic chemistry i Application of modern organic theories
13 Organic chemistry i Nomenclature of organic molecules
14 Organic chemistry i Bond theory
15 Organic chemistry i Stereochemistry
16 Organic chemistry i Organic synthesis & mechanisms
17 Organic chemistry i Structure determination by instrumental methods
18 Analytical chemistry Theory and practice of gravimetric analysis
19 Analytical chemistry Volumetric analysis
20 Analytical chemistry Spectrophotometric analysis
21 Analytical chemistry Gas chromatography
22 Analytical chemistry Principles to quantitative analysis
23 Analytical chemistry Concept of chemical equilibrium
24 Analytical chemistry Optical spectroscopy
25 Analytical chemistry Chromatography
26 Analytical chemistry Nuclear magnetic resonance spectrometry
27 Analytical chemistry Mass spectrometry
28 Analytical chemistry Electroanalytical chemistry
29 Inorganic chemistry Structure and bonding in inorganic compounds
30 Inorganic chemistry Group theory and related symmetry
31 Inorganic chemistry Spectroscopy of inorganic compounds
32 Inorganic chemistry Semiconductors
33 Physical chemistry Physical properties of matter
34 Physical chemistry Structure of matter and the theories of chemical interactions
35 Physical chemistry Ideal and real gases, liquids, solids
36 Physical chemistry Thermodynamics
37 Physical chemistry Chemical equilibria
38 Physical chemistry Phase equilibria
39 Physical chemistry Chemical kinetics
40 Physical chemistry Quantum mechanics
41 Physical chemistry Atomic and molecular structure
42 Physical chemistry Spectroscopic methods.
Sr. Topics Sub-Topics
1 Comparative vertebrate anatomy and physiology i Structural and functional characteristics of vertebrates
2 Comparative vertebrate anatomy and physiology i Tracing the evolution of animals from primitive chordates to mammals
3 Comparative vertebrate anatomy and physiology i Physical and chemical operations of vertebrates
4 Comparative vertebrate anatomy and physiology i Homeostasis
5 Comparative vertebrate anatomy and physiology i Structural/functional relationships
6 Microbiology Morphology and physiology of microorganisms
7 Microbiology Relationship of microbes to their environment
8 Microbiology Food, water, soil, industrial, and medical microbiology
9 Microbiology Microbial genetics
10 Microbiology Microbial diversity
11 Genetics Principles of heredity
12 Genetics Mendelian, molecular and population genetics
13 Genetics Cellular functionsto inherited traits
14 Genetics Genetic basis for evolution
15 Genetics Role of genetics in biotechnology
16 Genetics Statistical basis for predicting the probability of inheriting certain traits.
17 Immunology Description and development of the immune system
18 Immunology Chemical, molecular, and cellular basis of immune reactions
19 Immunology Genetic and chemical control of the immune response
20 Immunology Specific immunities
21 Immunology Types of hypersensitivity
22 Immunology Autoimmunity
23 Immunology Transplantation and rejection
24 Immunology Immune disorders and deficiencies
25 Biochemistry Introduction to the biochemical metabolism of the living cell
26 Biochemistry Cellular structure
27 Biochemistry Macromolecules
28 Biochemistry Metabolic pathways
29 Biochemistry Energy transformations
30 Biochemistry Regulatory mechanisms and molecular genetics
31 Biochemistry Biochemical techniques
32 Biochemistry Thin layer and column and gas chromatography
33 Biochemistry Electrophoresis
34 Biochemistry Spectrophotometry
35 Biochemistry Dna technology.
Sr. Topics Sub-Topics
1 Do you like hamburgers? It’s the alphabet!
2 It’s time to learn your a b c! The alphabet! full lesson available
3 It’s time to learn your a b c! It’s time!
4 It’s time to learn how to tell the time! No school! it’s sunday!
5 Advanced composition Theories of writing and rhetorical models
6 British literature i Writers and their works from the early middle ages to 1616
7 American literature ii Writers from the age of realism through the present day
8 Studies in grammar and language History of language
9 Studies in grammar and language Grammatical systems, usage/composition;
10 Studies in grammar and language Teaching applications
11 Creative writing: poetry Modern and contemporary poems
12 Creative writing: fiction Modern and contemporary short stories
13 Creative writing: fiction Investigate the creative writing proces
14 American literature Movements in american literature.
15 American literature American literature from colonial america
16 American literature The constitution to the civil war
17 American literature The civil war to the new deal
18 American literature The new deal to the present
19 British literature Literature from the nations of the british isles:: wales, scotland, the republic of ireland, and england.
20 British literature Medieval literature
21 British literature Renaissance literature
22 British literature 17th-century literature
23 British literature 18th-century literature
24 British literature Romanticism, victorian literature
25 British literature , early 20th-century literature
26 British literature Contemporary literature.
27 Critical theory 20th- and 21st-century literary theory
28 Critical theory Introduction to the major approaches in contemporary critical theor
29 Critical theory Formalism
30 Critical theory Myth criticism
31 Critical theory Hermeneutics
32 Critical theory Deconstruction
33 Critical theory Feminism
34 Critical theory Psychoanalytic criticism
35 Critical theory Marxism, post-colonial theory and the new historicism.
36 Specialized writing Technical writing
37 Specialized writing Book editing
38 Specialized writing Playwriting, writing for children
39 Specialized writing Advanced studies in poetry or fiction
40 Technical and digital communication Modern and contemporary digitally-born genres
41 Technical and digital communication Technical writing process.
42 Studies in major authors Chronological development of the author's style (chaucer, milton, wordsworth and coleridge, faulkner, and hemingway)
43 Studies in major authors Main themes and relationship to the literary tradition (chaucer, milton, wordsworth and coleridge, faulkner, and hemingway)
Sr. Topics Sub-Topics
1 Algebra – basic Directed numbers: addition and subtraction
2 Algebra – basic Directed numbers: multiplication and division
3 Fractions Finding equivalent fractions
4 Fractions Multiplying and dividing to obtain equivalent fractions.
5 Fractions Reducing fractions to lowest equivalent form
6 Fractions Comparing and ordering fractions greater than 1
7 Fractions Subtracting fractions from whole numbers
8 Fractions Adding and subtracting fractions with the same denominator
9 Fractions Adding and subtracting fractions with different denominators
10 Fractions Multiplying fractions by whole numbers
11 Fractions Fractions of whole numbers
12 Fractions Multiplying fractions
13 Fractions Multiplying mixed numbers
14 Fractions Finding reciprocals of fractions and mixed numbers
15 Fractions Dividing fractions
16 Fractions Dividing mixed numbers
17 Fractions Bodmas
18 Decimals Adding decimals to two decimal places
19 Decimals Subtracting decimals to two decimal places