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MathematicsProbabilityAges 12–14

Sets & Venn Diagrams

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

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Sets & Venn Diagrams means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.

Materials: Two overlapping circles drawn on paper; Counter tokens or number cards. 1. Say the goal of Sets & Venn Diagrams in plain words once. 2. Adult sorts numbers into A, B, both, or neither for “even” and “multiple of 3”. 3. Child sorts three sets into a Venn diagram and counts each region. 4. Fresh check: one fresh item placement in the overlap. Record and stop. Done: three correctly sorted Venn diagrams with region counts. Proof: parent note of examples and results. Stop: End after the fresh check; keep optional challenge for another day.

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Sets & Venn Diagrams practice

Practice key ideas from Sets & Venn Diagrams.

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

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PhET Interactive Simulations · Practice link — not the full lesson

Plinko Probability

Open practice (new tab)
Before you open · source notes

Plinko Probability supports hands-on exploration for Sets & Venn Diagrams. Not every lab worksheet.

Free interactive page, no sign-in required for the tested path.

Before you open

Ask the learner what they changed in the sim or page and what they observed.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

PhET Interactive Simulations. “Plinko Probability.” External page; Gakuva does not copy, host, embed, or redistribute materials.

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Check 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)
“Can your child 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?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Probability
Age range
Ages 12–14

Standards

ccss-math:7.SP.8buk-nc-2013:KS3.Maths.Prob.3