Crateclass

Year 8 · Mathematics and statistics · Probability

Tree diagrams and probability experiments

Sample spaces with lists, tables and tree diagrams, probabilities as fractions, decimals and percentages, complements, relative frequency, the law of large numbers and estimating probabilities for a weighted die by experiment.

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Everything for this topic in one place

  • 3D lesson: Tree diagrams and probability experiments — Island expedition: grow a 3D tree diagram of trip choices, drop drawing pins to find a relative frequency, run 10, 100 and 1000 coin flips to see the law of large numbers, and test a weighted die from a shipwreck chest.
  • 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 · Prime factors, square and cube roots · 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

All topics, Years 1–8