Reach for the Star

Mixed modelling and checking · Optional extension

L092 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A phone plan costs £12 plus 8p per text. Write a formula and find the cost for 125 texts.

Reveal a worked check after attempting

C=12+0.08t; C(125)=£22.

Deep challenge

A rectangle has perimeter 40 cm. Express area in terms of width x and find width for length 12 cm.

Reveal a worked check after attempting

Length=20−x, area=x(20−x); if length 12, width=8 cm.

Recall & Review: feedback and extension integration

Lesson L092: Mixed modelling and checking

Objective: Form a mathematical model, solve it and interpret its limitations.

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 phone plan costs £12 plus 8p per text. Write a formula and find the cost for 125 texts.

Deep challenge: A rectangle has perimeter 40 cm. Express area in terms of width x and find width for length 12 cm.