Reach for the Star | GCSE Mathematics

L092: Mixed modelling and checking

Objective

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

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

Visual model for Mixed modelling and checking
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 mixed modelling and checking.

Core practice

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

Reasoning

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

Exam-style

Solve an exam-style problem involving mixed modelling and checking. Show working, include a check and interpret your answer.

WWW / EBI

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.