Reach for the Star | GCSE Mathematics

L051: Venn diagrams and set notation

Objective

Interpret Venn diagrams and use set notation in probability.

Calculator: Non-calculator core; calculator optional only for checking where labelled.

Visual model for Venn diagrams and set notation
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for venn diagrams and set notation.

Core practice

Of 50 learners, 24 study art, 22 music and 8 both. Find how many study exactly one.

Reasoning

If P(A)=0.6, P(B)=0.5 and P(A∩B)=0.2, find P(neither).

Exam-style

Solve an exam-style problem involving venn diagrams and set notation. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L051: Venn diagrams and set notation

Objective: Interpret Venn diagrams and use set notation in probability.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I represented the outcomes systematically, used the correct probability rule and checked that the probabilities or frequencies were consistent.

Even Better If (EBI)

I will show the sample space, branch or set reasoning explicitly, state any dependence or condition and check totals before giving the final probability.

Stretch and deep challenge

Stretch: Of 50 learners, 24 study art, 22 music and 8 both. Find how many study exactly one.

Deep challenge: If P(A)=0.6, P(B)=0.5 and P(A∩B)=0.2, find P(neither).