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Year 8 Maths Help for High School Prep

Build algebra foundations and geometry skills for high school success with personalised learning that matches New Zealand curriculum standards

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Year 8 Maths Topics

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1. Numbers and Relations

1.1

Place value

1.2

Comparing and ordering numbers

1.3

Rounding numbers

2. Number Theory

2.1

Divisibility Rules

2.2

Prime factors

2.3

Determining Common Factors

2.4

Determining Common Multiples

3. Adding and Subtracting Integers

3.1

Introduction to integer addition

3.2

Adding integers

3.3

Introduction to integer subtraction

3.4

Subtracting integers

3.5

Application of integer operations

4. Multiplying and Dividing Integers

4.1

Understanding integer multiplication

4.2

Multiplying integers

4.3

Understanding integer division

4.4

Dividing integers

4.5

Applications of integer operations

5. Operations with Decimals

5.1

Adding and subtracting decimals

5.2

Multiplying decimals

5.3

Dividing decimals

5.4

Order of operations (BEDMAS)

6. Adding and Subtracting Fractions

6.1

Using models to add and subtract fractions

6.2

Adding fractions with like denominators

6.3

Subtracting fractions with like denominators

6.4

Adding and subtracting fractions with unlike denominators

6.5

Adding and subtracting mixed numbers

7. Multiplying and Dividing Fractions

7.1

Multiplying fractions and whole numbers

7.2

Dividing fractions with whole numbers

7.3

Multiplying proper fractions

7.4

Multiplying improper fractions and mixed numbers

7.5

Dividing fractions and mixed numbers

7.6

Applications of fraction operations

8. Rational Numbers

8.1

Comparing and ordering rational numbers

8.2

Solving problems with rational numbers in decimal form

8.3

Solving problems with rational numbers in fraction form

8.4

Determine square roots of rational numbers

9. Powers, Exponents and Square Roots

9.1

Using exponents to describe numbers

9.2

Exponent rules

9.3

Order of operations with exponents

9.4

Using exponents to solve problems

9.5

Squares and square roots

9.6

Estimating square roots

10. Ratios, Rates, and Proportions

10.1

Ratios

10.2

Rates

10.3

Proportions

11. Proportional Relationships

11.1

Identifying proportional relationships

11.2

Understanding graphs of proportional relationships

11.3

Understanding tables of values of proportional relationships

11.4

Applications of linear relationships

12. Percents

12.1

Representing percents

12.2

Percents, fractions, and decimals

12.3

Percent of a number

12.4

Adding and multiplying percents

12.5

Taxes, discounts, tips and more

12.6

Simple interest

13. Measuring Systems

13.1

Metric systems

13.2

Imperial systems

13.3

Conversions between metric and imperial systems

13.4

Conversions involve squares and cubic

14. Coordinates, Quadrants, and Transformations

14.1

Cartesian plane

14.2

Draw on coordinate planes

14.3

Introduction to transformations

14.4

Horizontal and vertical distances

15. Patterns and Solving Equations

15.1

Patterns

15.2

Evaluating algebraic expressions

15.3

Solving one - step equations: x + a = b

15.4

Graphing linear relations

16. Linear Equations (Basic)

16.1

Model and solve one-step linear equations: ax = b, x/a = b

16.2

Solving two-step linear equations using addition and subtraction: ax + b = c

16.3

Solving two-step linear equations using multiplication and division: x/a + b = c

16.4

Solving two-step linear equations using distributive property: a(x + b) = c

17. Solving Linear Equations

17.1

Solving linear equations using multiplication and division

17.2

Solving two-step linear equations: ax + b = c, x/a + b = c

17.3

Solving linear equations using distributive property: a(x + b) = c

17.4

Solving linear equations with variables on both sides

17.5

Solving literal equations

18. Angles, Lines, and Transversals

18.1

Pairs of lines and angles

18.2

Parallel lines and transversals

18.3

Parallel line proofs

18.4

Perpendicular line proofs

19. Symmetry and Surface Area

19.1

Line symmetry

19.2

Rotational symmetry and transformations

19.3

Surface area of 3-dimensional shapes

20. Properties of Triangles

20.1

Classifying triangles

20.2

Isosceles and equilateral triangles

21. Scale Factors and Similarity

21.1

Enlargements and reductions with scale factors

21.2

Scale diagrams

21.3

Similar triangles

21.4

Similar polygons

22. Introduction to 3-Dimensional Figures

22.1

Introduction to surface area of 3-dimensional shapes

22.2

Nets of 3-dimensional shapes

22.3

Surface area of prisms

22.4

Surface area of cylinders

23. Data and Graphs

23.1

Reading and drawing bar graphs

23.2

Reading and drawing histograms

23.3

Reading and drawing line graphs

23.4

Box-and-whisker plots and scatter plots

23.5

Stem-and-leaf plots

23.6

Pie charts

23.7

Reading and drawing Venn diagrams

23.8

Frequency tables and dot plots

24. Statistics

24.1

Median and mode

24.2

Mean

24.3

Range and outliers

24.4

Application of averages

25. Probability

25.1

Determining probabilities using tree diagrams and tables

25.2

Probability of independent events

25.3

Probability with Venn diagrams

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