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Year 9 Maths Topics

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1. Number Theory

1.1 Divisibility Rules
1.2 Determining Common Factors
1.3 Determining Common Multiples
1.4 Introduction to Exponents

2. Number Systems

2.1 Understanding the number systems
2.2 Prime factorisation
2.3 Greatest common factors (GCF)
2.4 Least common multiple (LCM)
2.5 Rational vs. Irrational numbers
2.6 Converting repeating decimals to fractions

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 Word problems on adding and subtracting integers

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 and Exponents

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

10. Surds

10.1 Square and square roots
10.2 Cubic and cube roots
10.3 Evaluating and simplifying surds
10.4 Converting radicals to mixed surds
10.5 Converting radicals to entire surds
10.6 Adding and subtracting surds
10.7 Multiplying and dividing surds
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. Coordinates, Quadrants, and Transformations

15.1 Cartesian plane
15.2 Draw on coordinate planes
15.3 Introduction to transformations
15.4 Horizontal and vertical distances

16. Angles, Lines, and Transversals

16.1 Pairs of lines and angles
16.2 Parallel lines and transversals
16.3 Parallel line proofs
16.4 Perpendicular line proofs

17. Scale Factors and Similarity

17.1 Enlargements and reductions with scale factors
17.2 Scale diagrams
17.3 Similar triangles
17.4 Similar polygons

18. Pythagorean Theorem

18.1 Squares and square roots
18.2 Pythagorean theorem
18.3 Estimating square roots
18.4 Using the pythagorean relationship
18.5 Applications of pythagorean theorem

19. Introduction to 3-dimensional figures

19.1 Introduction to surface area of 3-dimensional shapes
19.2 Nets of 3-dimensional shapes
19.3 Surface area of prisms
19.4 Surface area of cylinders

20. Circles

20.1 Circles and circumference
20.2 Arcs of a circle
20.3 Areas and sectors of circles

21. Patterns and Solving Equations

21.1 Patterns
21.2 Evaluating algebraic expressions
21.3 Evaluating polynomials

22. Introduction to Polynomials

22.1 Characteristics of polynomials
22.2 Equivalent expressions of polynomials
22.3 Adding and subtracting polynomials

23. Solving Linear Equations

23.1 Model and solve one-step linear equations: ax = b, x/a = b
23.2 Solving two-step linear equations using addition and subtraction: ax + b = c
23.3 Solving two-step linear equations using multiplication and division: x/a + b = c
23.4 Solving two-step linear equations using distributive property: a(x + b) = c

24. Solving Linear Equations (Advanced)

24.1 Solving linear equations using multiplication and division
24.2 Solving two-step linear equations: ax + b = c, x/a + b = c
24.3 Solving linear equations using distributive property: a(x + b) = c
24.4 Solving linear equations with variables on both sides
24.5 Solving literal equations

25. Linear Inequalities

25.1 Express linear inequalities graphically and algebraically
25.2 Solving one-step linear inequalities
25.3 Solving multi-step linear inequalities
25.4 Compound inequalities

26. Linear Functions

26.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
26.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
26.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
26.4 Gradient intercept form: y = mx + b
26.5 General form: Ax + By + C = 0
26.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
26.7 Rate of change
26.8 Graphing linear functions using table of values
26.9 Graphing linear functions using x- and y-intercepts
26.10 Graphing from gradient-intercept form y=mx+b
26.11 Graphing linear functions using a single point and gradient
26.12 Word problems of graphing linear functions
26.13 Parallel and perpendicular lines in linear functions
26.14 Applications of linear relations

27. Multiplication and Division of Polynomials

27.1 Multiplying and dividing monomials
27.2 Multiplying polynomials by monomials
27.3 Dividing polynomials by monomials

28. Data and Graphs

28.1 Reading and drawing bar graphs
28.2 Reading and drawing histograms
28.3 Reading and drawing line graphs
28.4 Box-and-whisker plots and scatter plots
28.5 Stem-and-leaf plots
28.6 Pie charts
28.7 Reading and drawing Venn diagrams

29. Statistics

29.1 Median and mode
29.2 Mean
29.3 Range and outliers
29.4 Application of averages

30. Probability

30.1 Determining probabilities using tree diagrams and tables
30.2 Probability of independent events
30.3 Probability with Venn diagrams

30 Chapters · 142 Topics · 1301 Videos

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