Year 9 Mathematics
Year 9 Mathematics on VCE Vault: 14 lessons written for Year 9 (Victorian Curriculum), each with worked examples, practice questions and Aari, an AI tutor. The first 4 lessons are free; the whole subject is a one-off A$9.99.
Lessons
Number and Algebra
- Index Laws and Scientific Notation (free) — Apply the index laws and express numbers in scientific notation.
- Algebraic Expansion and Factorisation (free) — Expand binomials and factorise expressions including monic quadratics.
- Linear Equations and Inequalities (free) — Solve linear equations, inequalities, and word problems.
- Linear Graphs — Equations and Forms (free) — Graph linear relationships and interpret gradient and intercept forms.
- Simultaneous Equations — Solve pairs of linear equations using substitution, elimination, and graphing.
- Financial Mathematics — Interest and Loans — Calculate simple and compound interest, and manage basic personal finance.
- Non-Linear Graphs (Introduction) — Graph and interpret quadratics, hyperbolas and exponentials.
- Problem-Solving and Mathematical Reasoning — Apply systematic problem-solving strategies to unfamiliar and multi-step problems.
Measurement and Geometry
- Pythagoras and Trigonometry Introduction — Use Pythagoras' theorem and basic trigonometry to solve right-angled triangle problems.
- Similar Figures and Scale — Use similarity rules to find unknown sides and solve scale problems.
- Surface Area and Volume — Calculate surface area and volume of prisms, cylinders, pyramids and spheres.
Statistics and Probability
- Statistics — Measures and Spread — Calculate and compare measures of centre and spread.
- Probability — Complex Events — Calculate probabilities of independent, dependent, and combined events.
Algorithms and Computational Thinking
- Algorithms and Simulation — Using Loops to Model Chance and Growth — Design and test algorithms that use iteration to simulate chance experiments and to model repeated percentage growth, and compare simulated results with theory.