Reach for the Star

Venn diagrams and set notation · Optional extension

L051 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

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

Reveal a worked check after attempting

Art only 16; music only 14; exactly one=30.

Deep challenge

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

Reveal a worked check after attempting

P(A∪B)=0.6+0.5−0.2=0.9; neither=0.1.

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).