Reach for the Star | GCSE Mathematics

L106: Reasoning and multi-step problems

Objective

Explain a multi-step solution and justify method choices.

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

Visual model for Reasoning and multi-step problems
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 reasoning and multi-step problems.

Core practice

A £120 item is discounted 15% then its new price increases 10%. Find final price.

Reasoning

Explain why the order of two percentage multipliers does not affect the final number, but the story still matters.

Exam-style

Solve an exam-style problem involving reasoning and multi-step problems. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L106: Reasoning and multi-step problems

Objective: Explain a multi-step solution and justify method choices.

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 used my working and assessment evidence to identify the exact mathematical step that was secure and the specific misconception that needs attention.

Even Better If (EBI)

I will correct one precise step, explain why the correction works and complete a fresh delayed question without the original scaffold.

Stretch and deep challenge

Stretch: A £120 item is discounted 15% then its new price increases 10%. Find final price.

Deep challenge: Explain why the order of two percentage multipliers does not affect the final number, but the story still matters.