L020 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
A taxi charges £3.50 plus £1.80 per mile. Find miles travelled for a £21.50 fare.
3.50+1.80m=21.50, so m=10.
A rectangle's perimeter is 38 cm and its length is 3 cm more than width. Find dimensions.
2w+2(w+3)=38, w=8; length=11 cm.
Lesson L020: Equations in contexts
Objective: Translate a context into a linear equation, solve it and interpret the result with appropriate units and constraints.
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: A taxi charges £3.50 plus £1.80 per mile. Find miles travelled for a £21.50 fare.
Deep challenge: A rectangle's perimeter is 38 cm and its length is 3 cm more than width. Find dimensions.