Venn Diagrams and Counting Outcomes
Construct and interpret Venn diagrams with two or three sets to organise and count outcomes; use systematic listing and the product rule for counting to enumerate all possible outcomes of combined events
Lesson
Set out your lesson
“Venn Diagrams and Counting Outcomes means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Two overlapping circles drawn on paper
- Counter tokens or number cards
Extra for the adult
Worked example. 6 is even and a multiple of 3, so it goes in the overlap.
Optional challenge. For Venn Diagrams and Counting Outcomes, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Venn Diagrams and Counting Outcomes, not mastery.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceVenn Diagrams and Counting Outcomes practice
Practice key ideas from Venn Diagrams and Counting Outcomes.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
PhET Interactive Simulations · Practice link — not the full lesson
Plinko Probability
Before you open · source notes
Plinko Probability supports hands-on exploration for Venn Diagrams and Counting Outcomes. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk 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.
Unknown — link only
Check understanding
- Draw a two-circle Venn diagram to sort 30 students by whether they like football, like cricket, or like both
- Shade the intersection A ∩ B and the union A ∪ B on a Venn diagram and explain what each region represents
- Use a completed Venn diagram to calculate P(A), P(B), P(A ∩ B), and P(A ∪ B)
“If your child surveys a class about which sports they play and draws a Venn diagram to show the results, can they use it to find out how many students play both sports — and calculate the probability of picking one of those students at random?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Probability
- Age range
- Ages 12–13
Standards