← Grade 9
Mathematics · Year 4

Grade 9 Mathematics

Quadratics, sequences, trigonometry, and statistics with probability. Prove general rules, move between representations, and justify degrees of accuracy.

Criteria A, B, C, D  |  Advanced Band  |  4 Topics

Study Topics

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Year 4 Key Upgrade

At Grade 9, prove, don't just verify. For Criterion B, proving a general rule scores higher than checking it with specific examples. Move fluently between algebraic, graphical, and numerical representations.

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Topic 1.1
Quadratics
Quadratic equations (factorising, completing the square, quadratic formula), parabola graphs, discriminant, and vertex form.
Factorising Quadratic Formula Parabolas Discriminant
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Topic 1.2
Sequences (Extended)
Arithmetic and geometric sequences, nth term formula, sum of arithmetic series, sigma notation, and application problems.
Arithmetic Seq. Geometric Seq. nth Term Series Sums
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Topic 1.3
Trigonometry (Extended)
Sine rule, cosine rule, area of a triangle formula, bearings, 3D trigonometry, and angles beyond 90°.
Sine Rule Cosine Rule Bearings 3D Trig
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Topic 1.4
Statistics & Probability
Measures of spread (variance, standard deviation), combined probability, conditional probability, and normal distribution introduction.
Standard Deviation Probability Conditional Prob. Normal Distribution
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