Reach for the Star | GCSE Mathematics

L044: Graph problems and repair

Objective

Choose graphical methods and repair errors in interpreting axes and gradients.

Calculator: Calculator allowed where labelled; non-calculator reasoning remains required.

Visual model for Graph problems and repair
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 graph problems and repair.

Core practice

A journey has two equal 30 km legs at 30 km/h and 60 km/h. Find overall average speed.

Reasoning

Explain why the mean of 30 and 60 is not the overall speed for equal distances.

Exam-style

A graph is drawn for a real context. Interpret the gradient, intercept or area as appropriate. State units and justify your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L044: Graph problems and repair

Objective: Choose graphical methods and repair errors in interpreting axes and gradients.

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 journey has two equal 30 km legs at 30 km/h and 60 km/h. Find overall average speed.

Deep challenge: Explain why the mean of 30 and 60 is not the overall speed for equal distances.