Reach for the Star | GCSE Mathematics

L062: Equations from situations

Objective

Translate a situation into equations and interpret solutions in context.

Calculator: Non-calculator core; calculator optional only for checking where labelled.

Visual model for Equations from situations
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for equations from situations.

Core practice

Three adult tickets and two child tickets cost £37. Adults cost £9 each. Find child price.

Reasoning

A rectangle's length is twice its width and its area is 50 cm². Find positive dimensions.

Exam-style

Solve an exam-style problem involving equations from situations. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

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.

What Went Well (WWW)

I represented the algebraic structure accurately, kept each transformation valid and checked the result by substitution, graph or equivalent reasoning.

Even Better If (EBI)

I will show the missing inverse operation or algebraic step, keep signs and brackets accurate and test the result in the original relationship.

Stretch and deep challenge

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.