L011 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
A coat costs £68 after a 15% reduction. Find its original price.
0.85×original=68, so original=£80.
A price rises 20% and then falls 20%. Explain the net change using multipliers.
1.2×0.8=0.96, so the final price is 4% lower.
Lesson L011: Percentage change and reverse percentages
Objective: Use multipliers for percentage change, recover an original value and distinguish simple interest from repeated growth.
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 selected a suitable representation or multiplier and kept the reference amount clear.
I will state the whole/part, show each operation and check that the size of my answer is reasonable.
Stretch: A coat costs £68 after a 15% reduction. Find its original price.
Deep challenge: A price rises 20% and then falls 20%. Explain the net change using multipliers.