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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
2.5 Introduction to exponents

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 Applications 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. Rational Numbers

5.1 Comparing and ordering rational numbers
5.2 Solving problems with rational numbers in decimal form
5.3 Solving problems with rational numbers in fraction form
5.4 Determine square roots of rational numbers

6. Operations with Decimals

6.1 Adding and subtracting decimal numbers
6.2 Multiplying decimal numbers
6.3 Dividing decimal numbers
6.4 Order of operations (BIDMAS)

7. Adding and Subtracting Fractions

7.1 Using model to add and subtract fractions
7.2 Adding fractions with like denominators
7.3 Subtracting fractions with like denominators
7.4 Adding and subtracting fractions with unlike denominators
7.5 Adding and subtracting mixed numbers

8. Multiplying and Dividing Fractions

8.1 Multiplying fractions and whole numbers
8.2 Dividing fractions with whole numbers
8.3 Multiplying proper fractions
8.4 Multiplying improper fractions and mixed numbers
8.5 Dividing fractions and mixed numbers
8.6 Applications of fraction operations

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. Square Root and Cube Root

10.1 Square and square roots
10.2 Cubic and cube roots
10.3 Evaluating and simplifying radicals
10.4 Converting radicals to mixed radicals
10.5 Converting radicals to entire radicals
10.6 Adding and subtracting radicals
10.7 Multiplying and dividing radicals
10.8 Rationalize the denominator

11. Ratios, Rates, and Proportions

11.1 Ratios
11.2 Rates
11.3 Proportions

12. Proportional Relationships

12.1 Identifying proportional relationships
12.2 Understanding graphs of linear relationships
12.3 Understanding tables of values of linear relationships
12.4 Applications of linear relationships

13. Percents

13.1 Representing percents
13.2 Percents, fractions, and decimals
13.3 Percent of a number
13.4 Adding and multiplying percents
13.5 Taxes, discounts, tips and more
13.6 Simple interest

14. Measuring Systems

14.1 Metric systems
14.2 Imperial systems
14.3 Conversions between metric and imperial systems
14.4 Conversions involve squares and cubic

15. Patterns and Expressions

15.1 Patterns
15.2 Evaluating algebraic expressions
15.3 Evaluating polynomials
15.4 Graphing Linear relations

16. Solving Linear Equations

16.1 Solving one-step equations: x + a = b
16.2 Model and solve one-step linear equations: ax = b, x/a = b
16.3 Solving two-step linear equations using addition and subtraction: ax + b = c
16.4 Solving two-step linear equations using multiplication and division: x/a + b = c
16.5 Solving two-step linear equations using distributive property: a(x + b) = c

17. Introduction to Polynomials

17.1 Characteristics of polynomials
17.2 Equivalent expressions of polynomials
17.3 Adding and subtracting polynomials

18. Linear Inequalities

18.1 Express linear inequalities graphically and algebraically
18.2 Solving one-step linear inequalities
18.3 Solving multi-step linear inequalities
18.4 Compound inequalities

19. Linear Functions

19.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
19.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
19.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
19.4 Gradient intercept form: y = mx + b
19.5 General form: Ax + By + C = 0
19.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
19.7 Rate of change
19.8 Graphing linear functions using table of values
19.9 Graphing linear functions using x- and y-intercepts
19.10 Graphing linear functions using various forms
19.11 Graphing linear functions using a single point and gradient
19.12 Word problems of graphing linear functions
19.13 Parallel and perpendicular lines in linear functions
19.14 Applications of linear relations

20. Angles, Lines, and Transversals

20.1 Pairs of lines and angles
20.2 Parallel lines and transversals
20.3 Parallel line proofs
20.4 Perpendicular line proofs

21. Properties of Triangles

21.1 Classifying Triangles
21.2 Isosceles and equilateral triangles

22. Circles

22.1 Circles and circumference
22.2 Arcs of a circle
22.3 Areas and sectors of circles

23. Coordinates, Quadrants, and Transformations

23.1 Cartesian plane
23.2 Draw on coordinate planes
23.3 Introduction to transformations
23.4 Horizontal and vertical distances

24. Scale Factors and Similarity

24.1 Enlargements and reductions with scale factors
24.2 Scale diagrams
24.3 Similar triangles
24.4 Similar polygons

25. Introduction to 3-dimensional figures

25.1 Introduction to surface area of 3-dimensional shapes
25.2 Nets of 3-dimensional shapes
25.3 Surface area of prisms
25.4 Surface area of cylinders

26. Volume

26.1 Introduction to volume
26.2 Volume of prisms
26.3 Volume of cylinders
26.4 Word problems relating volume of prisms and cylinders

27. Data and Graphs

27.1 Reading and drawing bar graphs
27.2 Reading and drawing histograms
27.3 Reading and drawing line graphs
27.4 Box-and-whisker plots and scatter plots
27.5 Stem-and-leaf plots
27.6 Pie charts
27.7 Reading and drawing Venn diagrams

28. Statistics

28.1 Median and mode
28.2 Mean
28.3 Range and outliers
28.4 Application of averages

29. Probability

29.1 Determining probabilities using tree diagrams and tables
29.2 Probability of independent events
29.3 Probability with Venn diagrams

29 Chapters · 137 Topics · 1250 Videos

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