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Year 10 Maths Topics
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1. Number System and Radicals
2. Patterns and Solving Equations
3. Linear Equations (Basic)
3.1 Model and solve one-step linear equations: ax = b, x/a = b
3.2 Solving two-step linear equations using addition and subtraction: ax + b = c
3.3 Solving two-step linear equations using multiplication and division: x/a + b = c
3.4 Solving two-step linear equations using distributive property: a(x + b) = c
4. Solving Linear Equations
5. Solving Linear Inequalities
6. Introduction to Relations and Functions
7. Linear Relations
8. Linear Functions
8.1 Distance formula:
8.2 Midpoint formula:
8.3 Gradient equation:
8.4 Gradient intercept form: y = mx + b
8.5 General form: Ax + By + C = 0
8.6 Gradient-point form:
8.7 Rate of change
8.8 Graphing linear functions using table of values
8.9 Graphing linear functions using x- and y-intercepts
8.10 Graphing from gradient-intercept form y=mx+b
8.11 Graphing linear functions using a single point and gradient
8.12 Word problems of graphing linear functions
8.13 Parallel and perpendicular lines in linear functions
8.14 Applications of linear relations
9. Solving Simultaneous Equations
9.1 Determining number of solutions to linear equations
9.2 Solving simultaneous equations by graphing
9.3 Solving simultaneous equations by elimination
9.4 Solving simultaneous equations by substitution
9.5 Money related questions in linear equations
9.6 Unknown number related questions in linear equations
9.7 Distance and time related questions in linear equations
9.8 Rectangular shape related questions in linear equations
10. Transformations of Functions
10.1 Transformations of functions: Horizontal translations
10.2 Transformations of functions: Vertical translations
10.3 Reflection across the y-axis: y = f(-x)
10.4 Reflection across the x-axis: y = -f(x)
10.5 Transformations of functions: Horizontal stretches
10.6 Transformations of functions: Vertical stretches
10.7 Combining transformations of functions
10.8 Even and odd functions
11. Exponents
11.1 Product rule of exponents
11.2 Quotient rule of exponents
11.3 Power of a product rule
11.4 Power of a quotient rule
11.5 Power of a power rule
11.6 Negative exponent rule
11.7 Combining the exponent rules
11.8 Scientific notation
11.9 Convert between radicals and rational exponents
11.10 Solving for exponents
12. Exponential Functions
12.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
12.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
12.3 Exponents: Power rule (a^x)^y = a^(x * y)
12.4 Exponents: Negative exponents
12.5 Exponents: Zero exponent: a^0 = 1
12.6 Exponents: Rational exponents
12.7 Graphing exponential functions
12.8 Graphing transformations of exponential functions
12.9 Finding an exponential function given its graph
12.10 Finance: Compound interest
13. Logarithmic Functions
13.1 What is a logarithm?
13.2 Converting from logarithmic form to exponential form
13.3 Evaluating logarithms without a calculator
13.4 Common logarithms
13.5 Natural log: ln
13.6 Evaluating logarithms using change-of-base formula
13.7 Converting from exponential form to logarithmic form
13.8 Solving exponential equations with logarithms
13.9 Product rule of logarithms
13.10 Quotient rule of logarithms
13.11 Combining product rule and quotient rule in logarithms
13.12 Evaluating logarithms using logarithm rules
13.13 Solving logarithmic equations
13.14 Graphing logarithmic functions
13.15 Finding a logarithmic function given its graph
14. Introduction to Polynomials
15. Multiplying and Dividing Polynomials
16. Operations of Polynomials
17. Factorising Polynomial Expressions
17.1 Common factors of polynomials
17.2 Factorising polynomials by grouping
17.3 Solving polynomials with the unknown "b" from x^2 + bx + c
17.4 Solving polynomials with the unknown "c" from x^2 + bx + c
17.5 Factorising polynomials: x^2 + bx + c
17.6 Applications of polynomials: x^2 + bx + c
17.7 Solving polynomials with the unknown "b" from
17.8 Factorising polynomials:
17.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
17.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
17.11 Evaluating polynomials
17.12 Using algebra tiles to factorise polynomials
17.13 Solving polynomial equations
17.14 Word problems of polynomials
18. Factorising Polynomial (Advanced)
19. Quadratic Functions
19.1 Characteristics of quadratic functions
19.2 Transformations of quadratic functions
19.3 Quadratic function in general form: y = ax^2 + bx + c
19.4 Quadratic function in vertex form: y = a(x-p)^2 + q
19.5 Completing the square
19.6 Converting from general to vertex form by completing the square
19.7 Shortcut: Vertex formula
19.8 Graphing parabolas for given quadratic functions
19.9 Finding the quadratic functions for given parabolas
19.10 Applications of quadratic functions
21. Radicals
22. Algebraic Fractions
22.1 Simplifying algebraic fractions and restrictions
22.2 Adding and subtracting algebraic fractions
22.3 Multiplying algebraic fractions
22.4 Dividing algebraic fractions
22.5 Solving equations with algebraic fractions
22.6 Applications of equations with algebraic fractions
22.7 Simplifying complex fractions
22.8 Partial fraction decomposition
23. Reciprocal Functions
24. Scale Factors and Similarity
25. Properties of Triangles
26. Congruent Triangles
27. Pythagorean Theorem
28. Introduction to Surface Area of 3D Shapes
29. Introduction to Volume
30. Surface Area and Volume
31. Circles
32. Introduction to Trigonometry
32.1 Use sine ratio to calculate angles and sides (Sin = )
32.2 Use cosine ratio to calculate angles and sides (Cos = )
32.3 Use tangent ratio to calculate angles and sides (Tan = )
32.4 Combination of SohCahToa questions
32.5 Solving expressions using 45-45-90 special right triangles
32.6 Solving expressions using 30-60-90 special right triangles
32.7 Word problems relating ladder in trigonometry
32.8 Word problems relating guy wire in trigonometry
32.9 Other word problems relating angles in trigonometry
33. Trigonometric Ratios and Angle Measure
34. Bearings
35. Graphing Trigonometric Functions
36. Introduction to Probability
38. Data and Graphs
39. Introduction to Matrices
40. Determinants and Inverses of Matrices
40.1 The determinant of a 2 x 2 matrix
40.2 The determinant of a 3 x 3 matrix (General & Shortcut Method)
40.3 The inverse of a 2 x 2 matrix
40.4 The inverse of 3 x 3 matrices with matrix row operations
40.5 The inverse of 3 x 3 matrix with determinants and adjugate
40.6 2 x 2 invertible matrix
40.7 Solving linear systems using Cramer's Rule
40.8 Solving linear systems using 2 x 2 inverse matrices
40 Chapters · 254 Topics · 1707 Videos
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Yes — our Year 10 Maths content covers all major topics regardless of textbook, aligned to the Australian Curriculum for your state or territory.
What Year 10 Maths topics are covered?
All Australian Curriculum topics: algebra, quadratics, trigonometry, linear relationships, probability, statistics, Pythagoras' theorem, and more.
