Reach for the Star

Geometry probability and statistics consolidation · Optional extension

L095 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A fair spinner has sectors 1,2,3,4. Find mean score over one spin and P(score ≥3).

Reveal a worked check after attempting

Mean=(1+2+3+4)/4=2.5; probability=2/4=1/2.

Deep challenge

A radius doubles. Compare the circle's area and circumference multipliers.

Reveal a worked check after attempting

Area ×4; circumference ×2, because πr² and 2πr scale differently.

Recall & Review: feedback and extension integration

Lesson L095: Geometry probability and statistics consolidation

Objective: Connect geometry, probability and statistics through mixed problems.

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 used my working and assessment evidence to identify the exact mathematical step that was secure and the specific misconception that needs attention.

Even Better If (EBI)

I will correct one precise step, explain why the correction works and complete a fresh delayed question without the original scaffold.

Stretch and deep challenge

Stretch: A fair spinner has sectors 1,2,3,4. Find mean score over one spin and P(score ≥3).

Deep challenge: A radius doubles. Compare the circle's area and circumference multipliers.