L014 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
A scale drawing is 1:25,000. What actual distance does 8 cm represent?
200,000 cm=2 km.
Similar shapes have length factor 1.5. Compare their area factor and explain.
Area factor 1.5²=2.25, since both dimensions scale.
Lesson L014: Scale and proportion
Objective: Use constant multiplicative relationships for recipes and length scales, with consistent units and checks.
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 scale drawing is 1:25,000. What actual distance does 8 cm represent?
Deep challenge: Similar shapes have length factor 1.5. Compare their area factor and explain.