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Mathematics·Probability·procedural

Sets & Venn Diagrams

Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes

Suggested ages 12–14

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Evidence of understanding

  • List the elements in the union and intersection of two sets using a Venn diagram
  • Use a two-way table to enumerate all possible outcomes of two combined events
  • Shade regions of a Venn diagram to represent A ∪ B, A ∩ B, and A′ (complement)

Assessment prompt

Can Sets & Venn Diagrams use a table or Venn diagram to systematically list all the possible outcomes of two events — like rolling two dice — and use it to count favourable outcomes?

Standards alignment

7.SP.8bUS · ccss-math

Represent sample spaces for compound events

Common Core State Standards for Mathematics · 7

KS3.Maths.Prob.3GB · uk-nc-2013

Enumerate Sets

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3