L093 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
Split £96 in ratio 1:3:4 and check the total.
Eight parts at £12: £12, £36, £48; total £96.
A price increases 10% then 10%. Explain why total increase is 21%, not 20%.
1.1²=1.21; second 10% acts on the larger amount.
Lesson L093: Number and ratio consolidation
Objective: Retrieve and connect number, ratio and proportional methods.
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.
I used my working and assessment evidence to identify the exact mathematical step that was secure and the specific misconception that needs attention.
I will correct one precise step, explain why the correction works and complete a fresh delayed question without the original scaffold.
Stretch: Split £96 in ratio 1:3:4 and check the total.
Deep challenge: A price increases 10% then 10%. Explain why total increase is 21%, not 20%.