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Year 11 Maths Topics
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1. Solving Linear Equations
2. Linear Inequalities
3. Quadratic Equations and Inequalities
4. Solving Simultaneous Equations
4.1 Determining number of solutions to linear equations
4.2 Solving simultaneous equations by graphing
4.3 Solving simultaneous equations by elimination
4.4 Solving simultaneous equations by substitution
4.5 Money related questions in linear equations
4.6 Unknown number related questions in linear equations
4.7 Distance and time related questions in linear equations
4.8 Rectangular shape related questions in linear equations
5. Linear programming
6. Introduction to Relations and Functions
7. Direct Variation
8. Imaginary and Complex Numbers
8.1 Introduction to imaginary numbers
8.2 Complex numbers and complex planes
8.3 Adding and subtracting complex numbers
8.4 Complex conjugates
8.5 Multiplying and dividing complex numbers
8.6 Distance and midpoint of complex numbers
8.7 Angle and absolute value of complex numbers
8.8 Polar form of complex numbers
8.9 Operations on complex numbers in polar form
9. Factorising Polynomial
10. Quadratic Functions
10.1 Characteristics of quadratic functions
10.2 Transformations of quadratic functions
10.3 Quadratic function in general form: y = ax^2 + bx + c
10.4 Quadratic function in vertex form: y = a(x-p)^2 + q
10.5 Completing the square
10.6 Converting from general to vertex form by completing the square
10.7 Shortcut: Vertex formula
10.8 Graphing parabolas for given quadratic functions
10.9 Finding the quadratic functions for given parabolas
10.10 Applications of quadratic functions
11. Polynomial Functions
11.1 What is a polynomial function?
11.2 Polynomial long division
11.3 Polynomial synthetic division
11.4 Remainder theorem
11.5 Factor theorem
11.6 Rational zero theorem
11.7 Characteristics of polynomial graphs
11.8 Multiplicities of polynomials
11.9 Imaginary zeros of polynomials
11.10 Determining the equation of a polynomial function
11.11 Applications of polynomial functions
11.12 Solving polynomial inequalities
11.13 Fundamental theorem of algebra
11.14 Descartes' rule of signs
12. Radicals
13. Radical Functions
14. Exponents
14.1 Product rule of exponents
14.2 Quotient rule of exponents
14.3 Power of a product rule
14.4 Power of a quotient rule
14.5 Power of a power rule
14.6 Negative exponent rule
14.7 Combining the exponent rules
14.8 Scientific notation
14.9 Convert between radicals and rational exponents
14.10 Solving for exponents
15. Exponential Functions
15.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
15.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
15.3 Exponents: Power rule (a^x)^y = a^(x * y)
15.4 Exponents: Negative exponents
15.5 Exponents: Zero exponent: a^0 = 1
15.6 Exponents: Rational exponents
15.7 Graphing exponential functions
15.8 Graphing transformations of exponential functions
15.9 Finding an exponential function given its graph
16. Logarithmic Functions
16.1 What is a logarithm?
16.2 Converting from logarithmic form to exponential form
16.3 Evaluating logarithms without a calculator
16.4 Common logarithms
16.5 Natural log: ln
16.6 Evaluating logarithms using change-of-base formula
16.7 Converting from exponential form to logarithmic form
16.8 Solving exponential equations with logarithms
16.9 Product rule of logarithms
16.10 Quotient rule of logarithms
16.11 Combining product rule and quotient rule in logarithms
16.12 Evaluating logarithms using logarithm rules
16.13 Solving logarithmic equations
16.14 Graphing logarithmic functions
16.15 Finding a logarithmic function given its graph
17. Applications of Exponential and Logarithmic Functions
17.1 Exponential growth and decay by a factor
17.2 Exponential decay: Half-life
17.3 Exponential growth and decay by percentage
17.4 Finance: Compound interest
17.5 Continuous growth and decay
17.6 Logarithmic scale: Richter scale (earthquake)
17.7 Logarithmic scale: pH scale
17.8 Logarithmic scale: dB scale
17.9 Finance: Future value and present value
19. Introduction to Trigonometry
19.1 Use sine ratio to calculate angles and sides (Sin = )
19.2 Use cosine ratio to calculate angles and sides (Cos = )
19.3 Use tangent ratio to calculate angles and side (Tan = )
19.4 Combination of SohCahToa questions
19.5 Solving expressions using 45-45-90 special right triangles
19.6 Solving expressions using 30-60-90 special right triangles
19.7 Word problems relating ladder in trigonometry
19.8 Word problems relating guy wire in trigonometry
19.9 Other word problems relating angles in trigonometry
20. Trigonometric Ratios and Angle Measure
21. Bearings
22. Graphing Trigonometric Functions
23. Applications of Trigonometric Functions
24. Trigonometric Identities
25. Circle Geometry
26. Sequences and Series
27. Introduction to Probability
28. Probability
30. Limits
30.1 Finding limits from graphs
30.2 Continuity
30.3 Finding limits algebraically - direct substitution
30.4 Finding limits algebraically - when direct substitution is not possible
30.5 Infinite limits - vertical asymptotes
30.6 Limits at infinity - horizontal asymptotes
30.7 Intermediate value theorem
30.8 Squeeze theorem
31. Derivatives
31.1 Definition of derivative
31.2 Power rule
31.3 Gradient and equation of tangent line
31.4 Chain rule
31.5 Derivative of trigonometric functions
31.6 Derivative of exponential functions
31.7 Product rule
31.8 Quotient rule
31.9 Implicit differentiation
31.10 Derivative of inverse trigonometric functions
31.11 Derivative of logarithmic functions
31.12 Higher order derivatives
31.13 Position velocity acceleration
32. Introduction to Matrices
33. Determinants and Inverses of Matrices
33.1 The determinant of a 2 x 2 matrix
33.2 The determinant of a 3 x 3 matrix (General & Shortcut Method)
33.3 The inverse of a 2 x 2 matrix
33.4 The inverse of 3 x 3 matrices with matrix row operations
33.5 The inverse of 3 x 3 matrix with determinants and adjugate
33.6 2 x 2 invertible matrix
33.7 Solving linear systems using Cramer's Rule
33.8 Solving linear systems using 2 x 2 inverse matrices
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Does this cover my Year 11 Maths curriculum?
Yes — our Year 11 Maths content covers all major topics regardless of textbook, aligned to standard high school curriculum for your region.
What Year 11 Maths topics are covered?
We cover functions, polynomials, trigonometric ratios, calculus introduction, differentiation, exponential functions, logarithms, sequences, and all core Australian curriculum topics.
