Reach for the Star

Graph problems and repair · Optional extension

L044 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

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

Reveal a worked check after attempting

Times 1 h and 0.5 h; 60/1.5=40 km/h.

Deep challenge

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

Reveal a worked check after attempting

The slower leg takes longer; total distance divided by total time gives 40 km/h.

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.