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Year 9 Maths Topics

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1. Number System and Radicals

1.1 Understanding the number systems
1.2 Prime factorisation
1.3 Greatest Common Factors (GCF)
1.4 Least Common Multiple (LCM)
1.5 Rational vs. Irrational numbers
1.6 Converting repeating decimals to fractions

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. Ratios, Rates, and Proportions

4.1 Ratios
4.2 Rates
4.3 Proportions

5. Percents

5.1 Representing percents
5.2 Percents, fractions, and decimals
5.3 Percent of a number
5.4 Adding and multiplying percents
5.5 Taxes, discounts, tips and more
5.6 Simple interest

6. Lines, Angles and Transversals

6.1 Pairs of lines and angles
6.2 Parallel lines and transversals
6.3 Perpendicular bisectors
6.4 Angle bisectors

7. Pythagorean Theorem

7.1 Squares and square roots
7.2 Pythagorean theorem
7.3 Estimating square roots
7.4 Using the pythagorean relationship
7.5 Applications of pythagorean theorem

8. Introduction to Surface Area of 3D Shapes

8.1 Introduction to surface area of 3-dimensional shapes
8.2 Nets of 3-dimensional shapes
8.3 Surface area of prisms
8.4 Surface area of cylinders

9. Introduction to Volume

9.1 Introduction to volume
9.2 Volume of prisms
9.3 Volume of cylinders
9.4 Word problems relating volume of prisms and cylinders

10. Scale Factors and Similarity

10.1 Enlargements and reductions with scale factors
10.2 Scale diagrams
10.3 Similar triangles
10.4 Similar polygons

11. Introduction to Trigonometry

11.1 Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} )
11.2 Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
11.3 Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
11.4 Combination of SohCahToa questions
11.5 Solving expressions using 45-45-90 special right triangles
11.6 Solving expressions using 30-60-90 special right triangles
11.7 Word problems relating ladder in trigonometry
11.8 Word problems relating guy wire in trigonometry
11.9 Other word problems relating angles in trigonometry

12. Patterns and Solving Equations

12.1 Patterns
12.2 Evaluating algebraic expressions
12.3 Solving one-step equations: x + a = b
12.4 Graphing Linear relations

13. Linear Equations (Basic)

13.1 Model and solve one-step linear equations: ax = b, x/a = b
13.2 Solving two-step linear equations using addition and subtraction: ax + b = c
13.3 Solving two-step linear equations using multiplication and division: x/a + b = c
13.4 Solving two-step linear equations using distributive property: a(x + b) = c

14. Solving Linear Equations

14.1 Solving linear equations using multiplication and division
14.2 Solving two-step linear equations: ax + b = c, x/a + b = c
14.3 Solving linear equations using distributive property: a(x + b) = c
14.4 Solving linear equations with variables on both sides
14.5 Solving literal equations

15. Solving Linear Inequalities

15.1 Express linear inequalities graphically and algebraically
15.2 Solving one-step linear inequalities
15.3 Solving multi-step linear inequalities
15.4 Compound inequalities

16. Introduction to Relations and Functions

16.1 Relationship between two variables
16.2 Understand relations between x- and y-intercepts
16.3 Domain and range of a function
16.4 Identifying functions
16.5 Function notation

17. Linear Relations

17.1 Representing patterns in linear relations
17.2 Reading linear relation graphs
17.3 Solving linear equations by graphing

18. Linear Functions

18.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
18.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
18.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
18.4 Gradient intercept form: y = mx + b
18.5 General form: Ax + By + C = 0
18.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
18.7 Rate of change
18.8 Graphing linear functions using table of values
18.9 Graphing linear functions using x- and y-intercepts
18.10 Graphing from gradient-intercept form y=mx+b
18.11 Graphing linear functions using a single point and gradient
18.12 Word problems of graphing linear functions
18.13 Parallel and perpendicular lines in linear functions
18.14 Applications of linear relations

19. Solving Simultaneous Equations

19.1 Determining number of solutions to linear equations
19.2 Solving simultaneous equations by graphing
19.3 Solving simultaneous equations by elimination
19.4 Solving simultaneous equations by substitution
19.5 Money related questions in linear equations
19.6 Unknown number related questions in linear equations
19.7 Distance and time related questions in linear equations
19.8 Rectangular shape related questions in linear equations

20. Introduction to Powers and Exponents

20.1 Using exponents to describe numbers
20.2 Exponent rules
20.3 Order of operations with exponents
20.4 Using exponents to solve problems

21. Exponents

21.1 Product rule of exponents
21.2 Quotient rule of exponents
21.3 Power of a product rule
21.4 Power of a quotient rule
21.5 Power of a power rule
21.6 Negative exponent rule
21.7 Combining the exponent rules
21.8 Scientific notation
21.9 Convert between radicals and rational exponents
21.10 Solving for exponents

22. Introduction to Polynomials

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

23. Multiplying and Dividing Polynomials

23.1 Multiplying and dividing monomials
23.2 Multiplying polynomials by monomials
23.3 Dividing polynomials by monomials

24. Factorising Polynomial Expressions

24.1 Common factors of polynomials
24.2 Factorising polynomials by grouping
24.3 Solving polynomials with the unknown "b" from x^2 + bx + c
24.4 Solving polynomials with the unknown "c" from x^2 + bx + c
24.5 Factorising polynomials: x^2 + bx + c
24.6 Applications of polynomials: x^2 + bx + c
24.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
24.8 Factorising polynomials: ax2+bx+cax^2 + bx + c
24.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
24.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
24.11 Evaluating polynomials
24.12 Using algebra tiles to factorise polynomials
24.13 Solving polynomial equations
24.14 Word problems of polynomials

25. Radicals

25.1 Square and square roots
25.2 Cubic and cube roots
25.3 Evaluating and simplifying radicals
25.4 Converting radicals to mixed radicals
25.5 Converting radicals to entire radicals
25.6 Adding and subtracting radicals
25.7 Multiplying and dividing radicals
25.8 Rationalize the denominator

26. Algebraic Fractions

26.1 Simplifying algebraic fractions and restrictions
26.2 Adding and subtracting algebraic fractions
26.3 Multiplying algebraic fractions
26.4 Dividing algebraic fractions
26.5 Solving equations with algebraic fractions
26.6 Applications of equations with algebraic fractions
26.7 Simplifying complex fractions
26.8 Partial fraction decomposition

27. Reciprocal Functions

27.1 Graphing reciprocals of linear functions
27.2 Graphing reciprocals of quadratic functions

28. Introduction to Probability

28.1 Introduction to probability
28.2 Organizing outcomes
28.3 Probability of independent events
28.4 Comparing experimental and theoretical probability

29. Statistics

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

30. Data and Graphs

30.1 Reading and drawing bar graphs
30.2 Reading and drawing histograms
30.3 Reading and drawing line graphs
30.4 Box-and-whisker plots and scatter plots
30.5 Pie charts
30.6 Reading and drawing Venn diagrams
30.7 Stem-and-leaf plots
30.8 Frequency tables and dot plots

30 Chapters · 170 Topics · 1346 Videos

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