L062 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
Three adult tickets and two child tickets cost £37. Adults cost £9 each. Find child price.
27+2c=37, c=£5.
A rectangle's length is twice its width and its area is 50 cm². Find positive dimensions.
2w²=50, w=5 cm and length=10 cm.
Lesson L062: Equations from situations
Objective: Translate a situation into equations and interpret solutions in context.
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 represented the algebraic structure accurately, kept each transformation valid and checked the result by substitution, graph or equivalent reasoning.
I will show the missing inverse operation or algebraic step, keep signs and brackets accurate and test the result in the original relationship.
Stretch: Three adult tickets and two child tickets cost £37. Adults cost £9 each. Find child price.
Deep challenge: A rectangle's length is twice its width and its area is 50 cm². Find positive dimensions.