MathematicsProbabilityAges 12–13
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
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
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Venn Diagrams and Counting OutcomesRepresentational concept
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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
ccss-math:7.SP.8buk-nc-2013:KS3.Maths.Prob.3