Homeschool → New Zealand → Year 8 → Mathematics
Year 8 mathematics
In Year 7, learners move from arithmetic towards algebra, using letters to represent numbers and solving simple equations. They work with index notation, prime factors and ratios, find the area of triangles and parallelograms, reason about angles formed by parallel lines, summarise data with the mean, median, mode and range, and describe sample spaces in probability.
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
- Prime factors and index notationTopic outlineWrite whole numbers as products of prime factors using factor trees, and use index notation to show repeated multiplication, such as 2 × 2 × 2 = 2³.
- Ratios and ratesTopic outlineCompare quantities using ratios, simplify ratios and solve everyday problems involving sharing in a given ratio and simple rates such as cost per kilogram.
Algebra
- Algebraic expressionsFull lesson · 50 minUse letters to stand for unknown numbers, write expressions from words, simplify expressions by collecting like terms and substitute values to evaluate them.
- Solving simple equationsTopic outlineSolve one- and two-step linear equations using inverse operations and check solutions by substitution.