Year 10 maths
Every topic for the year is below, arranged by the term it is taught. Choose a term to show only that term: each topic has a lesson video, worked questions and practice at three levels.
Autumn term
- Sine rule, cosine rule and exact trigonometryThe sine rule and cosine rule, the area of any triangle using 1/2 ab sin C, exact values of sine, cosine and tangent, and problems in two and three dimensions.100 questionsLesson video
- Algebraic fractions and functionsSimplifying, adding and multiplying algebraic fractions, solving equations with fractions, function notation, composite functions and inverse functions.100 questionsLesson video
- Recurring decimals and surdsTurning recurring decimals into fractions, a recap of powers and surds, rationalising denominators, and surd problems in geometry.100 questionsLesson video
Spring term
- Constructions and lociConstructing triangles, bisectors and perpendiculars with compasses, loci, and shading regions that meet more than one condition.100 questionsLesson video
- Algebraic and geometric proofProving statements about numbers with algebra, showing two expressions are identical, and giving reasons in geometric proofs.100 questionsLesson video
- Congruence, similarity and proportionCongruent triangles, similar shapes and scale factors for length, area and volume, and direct and inverse proportion in words and as formulae.100 questionsLesson video
Summer term
- Quadratics and their graphsSolving quadratics by factorising, the formula and completing the square, sketching quadratic graphs and turning points, and a line meeting a circle.100 questionsLesson video
- Conditional probabilityTree diagrams with and without replacement, two-way tables and Venn diagrams, and finding the probability of one event given another.100 questionsLesson video
- Iteration, curved graphs and graph transformationsSolving equations by iteration, recognising cubic, reciprocal and exponential graphs, trigonometric graphs, and translating and reflecting graphs.100 questionsLesson video
- Real-life graphs, tangents and boundsDistance-time and speed-time graphs, gradients of curves and tangents, estimating area under a curve, and upper and lower bounds.100 questionsLesson video
Terms are approximate: schools order these units differently.