Reach for the Star

Reasoning and multi-step problems · Optional extension

L106 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

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

Reveal a worked check after attempting

120×0.85×1.10=£112.20.

Deep challenge

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

Reveal a worked check after attempting

Multiplication commutes, so factors give the same product; the context determines what each change means and whether it applies.

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.