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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!

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.

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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 | |

12 | Electrical applications | |

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 | |

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 | |

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 | |

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 |