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Grade 10 mathematics

In Year 10, learners factorise quadratic expressions, solve quadratic and simultaneous equations, and use trigonometry to find unknown sides and angles in right-angled triangles. They model compound interest and depreciation, and develop geometric reasoning and proof. Statistics and probability extend to box plots, scatter plots and conditional probability, building a foundation for senior secondary mathematics.

Awaiting educator review. This material was drafted by our content team with AI assistance and is waiting for review by a qualified educator. Please check it suits your child before using it. Created 10 October 2026.

Number

Compound interest and depreciationFull lesson · 50 minUse the compound interest formula to calculate the growth of savings and loans and the depreciation of assets, and compare compound with simple interest.

Algebra

Measurement

Right-angled trigonometryFull lesson · 55 minUse the sine, cosine and tangent ratios to find unknown sides and angles in right-angled triangles, including angles of elevation and depression.

Space

Geometric reasoning and proofTopic outlineWrite logical arguments using congruence, similarity and angle properties to prove geometric results, including simple circle properties.

Statistics

Box plots and bivariate dataTopic outlineConstruct and compare box plots using the five-number summary, and use scatter plots to describe the relationship between two numerical variables.

Probability

Conditional probabilityTopic outlineCalculate probabilities when one event affects another, using two-way tables, Venn diagrams and tree diagrams, and distinguish independent from dependent events.

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Curriculum notes

Australian Curriculum v9.0. Topics are organised around the Australian Curriculum v9.0 Mathematics strands. This is an independent learning resource; it is not endorsed by ACARA and has not been mapped to individual content descriptions.

These lessons were written around Australian Curriculum strands and matched to US grades by age (Kindergarten is the first year). They are not aligned to the Texas Essential Knowledge and Skills (TEKS), and some use Australian spelling, metric units or Australian dollars, so check them against your own curriculum.