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Year 9 Maths Topics

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1. Number Theory

1.1 Divisibility Rules
1.2 Prime factors
1.3 Determining Common Factors
1.4 Determining Common Multiples
1.5 Introduction to exponents

2. Adding and Subtracting Integers

2.1 Introduction to integer addition
2.2 Adding integers
2.3 Introduction to integer subtraction
2.4 Subtracting integers
2.5 Application of integer operations

3. Multiplying and Dividing Integers

3.1 Understanding integer multiplication
3.2 Multiplying integers
3.3 Understanding integer division
3.4 Dividing integers
3.5 Applications of integer operations

4. Rational Numbers

4.1 Comparing and ordering rational numbers
4.2 Solving problems with rational numbers in decimal form
4.3 Solving problems with rational numbers in fraction form
4.4 Determine square roots of rational numbers

5. Powers and Exponents

5.1 Using exponents to describe numbers
5.2 Exponent rules
5.3 Order of operations with exponents
5.4 Using exponents to solve problems

6. Ratios, Rates, and Proportions

6.1 Ratios
6.2 Rates
6.3 Proportions

7. Proportional Relationships

7.1 Identifying proportional relationships
7.2 Understanding graphs of proportional relationships
7.3 Understanding tables of values of proportional relationships
7.4 Applications of linear relationships

8. Percents

8.1 Representing percents
8.2 Percents, fractions, and decimals
8.3 Percent of a number
8.4 Adding and multiplying percents
8.5 Taxes, discounts, tips and more
8.6 Simple interest

9. Radicals

9.1 Square and square roots
9.2 Cubic and cube roots
9.3 Evaluating and simplifying radicals
9.4 Converting radicals to mixed radicals
9.5 Converting radicals to entire radicals
9.6 Adding and subtracting radicals
9.7 Multiplying and dividing radicals
9.8 Rationalize the denominator

10. Measuring Systems

10.1 Metric systems
10.2 Imperial systems
10.3 Conversions between metric and imperial systems
10.4 Conversions involve squares and cubic

11. Coordinates, Quadrants, and Transformations

11.1 Cartesian plane
11.2 Draw on coordinate planes
11.3 Introduction to transformations
11.4 Horizontal and vertical distances

12. Angles, Lines, and Transversals

12.1 Pairs of lines and angles
12.2 Parallel lines and transversals
12.3 Parallel line proofs
12.4 Perpendicular line proofs

13. Symmetry and Surface Area

13.1 Line symmetry
13.2 Rotational symmetry and transformations
13.3 Surface area of 3-dimensional shapes

14. Properties of triangles

14.1 Classifying triangles
14.2 Isosceles and equilateral triangles

15. Circles

15.1 Circles and circumference
15.2 Angles in a circle
15.3 Arcs of a circle
15.4 Areas and sectors of circles

16. Scale Factors and Similarity

16.1 Enlargements and reductions with scale factors
16.2 Scale diagrams
16.3 Similar triangles
16.4 Similar polygons

17. Pythagorean Theorem

17.1 Squares and square roots
17.2 Pythagorean theorem
17.3 Estimating square roots
17.4 Using the pythagorean relationship
17.5 Applications of pythagorean theorem

18. Introduction to 3-Dimensional Figures

18.1 Introduction to surface area of 3-dimensional shapes
18.2 Nets of 3-dimensional shapes
18.3 Surface area of prisms
18.4 Surface area of cylinders

19. Volume

19.1 Introduction to volume
19.2 Volume of prisms
19.3 Volume of cylinders
19.4 Word problems relating volume of prisms and cylinders

20. Linear Equations (Basic)

20.1 Model and solve one-step linear equations: ax = b, x/a = b
20.2 Solving two-step linear equations using addition and subtraction: ax + b = c
20.3 Solving two-step linear equations using multiplication and division: x/a + b = c
20.4 Solving two-step linear equations using distributive property: a(x + b) = c

21. Solving Linear Equations

21.1 Solving linear equations using multiplication and division
21.2 Solving two-step linear equations: ax + b = c, x/a + b = c
21.3 Solving linear equations using distributive property: a(x + b) = c
21.4 Solving linear equations with variables on both sides
21.5 Solving literal equations

22. Linear Inequalities

22.1 Express linear inequalities graphically and algebraically
22.2 Solving one-step linear inequalities
22.3 Solving multi-step linear inequalities
22.4 Compound inequalities

23. Introduction to Relations and Functions

23.1 Relationship between two variables
23.2 Understand relations between x- and y-intercepts
23.3 Domain and range of a function
23.4 Identifying functions
23.5 Function notation

24. Linear Functions

24.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
24.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
24.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
24.4 Gradient intercept form: y = mx + b
24.5 General form: Ax + By + C = 0
24.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
24.7 Rate of change
24.8 Graphing linear functions using table of values
24.9 Graphing linear functions using x- and y-intercepts
24.10 Graphing from gradient-intercept form y=mx+b
24.11 Graphing linear functions using a single point and gradient
24.12 Word problems of graphing linear functions
24.13 Parallel and perpendicular lines in linear functions
24.14 Applications of linear relations

25. Multiplication and Division of Polynomials

25.1 Common factors of polynomials
25.2 Factorising polynomials by grouping
25.3 Solving polynomials with the unknown "b" from x^2 + bx + c
25.4 Solving polynomials with the unknown "c" from x^2 + bx + c
25.5 Factorising polynomials: x^2 + bx + c
25.6 Applications of polynomials: x^2 + bx + c
25.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
25.8 Factorising polynomials: ax2+bx+cax^2 + bx + c
25.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
25.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
25.11 Evaluating polynomials
25.12 Using algebra tiles to factorise polynomials
25.13 Solving polynomial equations
25.14 Word problems of polynomials

26. Data and Graphs

26.1 Reading and drawing bar graphs
26.2 Reading and drawing histograms
26.3 Reading and drawing line graphs
26.4 Box-and-whisker plots and scatter plots
26.5 Stem-and-leaf plots
26.6 Pie charts
26.7 Reading and drawing Venn diagrams
26.8 Frequency tables and dot plots

27. Statistics

27.1 Median and mode
27.2 Mean
27.3 Range and outliers
27.4 Application of averages

28. Probability

28.1 Determining probabilities using tree diagrams and tables
28.2 Probability of independent events
28.3 Probability with Venn diagrams

28 Chapters · 143 Topics · 1193 Videos

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