Homeschool → New Zealand → Year 11 → Mathematics

Year 11 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.

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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.