Year 8 · Mathematics and statistics · Number
Prime factors, square and cube roots
Factor trees and prime factorisation with exponents, square and cube numbers and their roots, and estimating roots between whole numbers.
Everything for this topic in one place
- 3D lesson: Prime factors, square and cube roots — Grow 3D factor trees to write prime factorisations with exponents, then build squares and cubes from unit cubes to find and estimate square and cube roots.
- Teacher presentation — slides to put on the projector.
- Worksheets at three levels — Tūī (support), Kererū (core) and Kea (extension), each with an answer key on the last page.
- Online practice — assign it to your class in the Crateclass classroom and the results come back by themselves.
Written for Te Mātaiaho, Phase 3 (Years 7–8), with New Zealand places, money and native birds.
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See a full 3D lesson, a game and printable worksheets with no account on the free samples page. Teachers who sign up by 18 December 2026 get everything free until 9 April 2027.
More Year 8 maths topics
Powers of 10 and negative exponents · Negative numbers and order of operations · Multiplying fractions and fractions of amounts · Percentages and ratio · Budgets, discounts and finance plans · Linear equations and inequalities · Expanding, simplifying and factorising · Triangular, square and cube number patterns · Area, volume and unit conversions · Angles with parallel lines and circles · Transformations, enlargement and map scales · Statistical investigations, outliers and skew · Tree diagrams and probability experiments