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Full-year Australian Curriculum v9.0 Mathematics course for Year 9. Covers real numbers, surds, scientific notation, index laws, quadratic algebra, coordinate geometry, quadratic functions, measurement, similarity, trigonometry, statistics and compound probability. 4 units, 8 topics, 80 lessons.
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Recognise and use rational and irrational numbers including surds. Express numbers in scientific notation. Extend index laws to variable bases, expand binomial products and factorise monic quadratic expressions.
Find gradient, midpoint and distance on the Cartesian plane. Graph and solve linear and quadratic functions, connect algebraic and graphical representations, and use mathematical modelling in financial and other applied contexts.
Solve surface area and volume problems for right prisms and cylinders. Determine measurement errors. Apply Pythagoras' theorem and trigonometric ratios. Explore similarity, enlargement transformations and geometric algorithms.
Compare and analyse distributions using comparative representations. Evaluate sampling methods and statistical reports. Determine outcomes for compound events, assign probabilities using lists, tree diagrams and tables, and run simulations.
Every lesson includes an engaging hook, structured activities, practice questions and a reflection — ready to present from the interactive whiteboard.
Sample lesson
Learning objectives
Hook
Engaging warm-up to activate prior knowledge
Direct Instruction
Clear, visual explanations with interactive slides
Activities
Hands-on tasks with real-time AI feedback
Practice
Formative questions with progressive hints
Reflection
Metacognitive wrap-up and self-assessment
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