Reach for the Star

Rates from graphs pathway · Optional extension

L089 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A velocity increases uniformly from 4 to 16 m/s in 6 s. Find acceleration and distance.

Reveal a worked check after attempting

a=(16−4)/6=2 m/s²; trapezium area=(4+16)/2×6=60 m.

Deep challenge

A velocity-time graph dips below the time axis. What does negative area mean?

Reveal a worked check after attempting

Displacement in the opposite chosen direction, not negative distance travelled.

Recall & Review: feedback and extension integration

Lesson L089: Rates from graphs pathway

Objective: Interpret rates and areas from graphs at the appropriate tier.

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 read or constructed the graph accurately, used the scale and axes correctly and linked the relevant gradient, intercept, shape or trend to my conclusion.

Even Better If (EBI)

I will label units and scale clearly, show the calculation or graphical evidence I used and check that the interpretation fits the context.

Stretch and deep challenge

Stretch: A velocity increases uniformly from 4 to 16 m/s in 6 s. Find acceleration and distance.

Deep challenge: A velocity-time graph dips below the time axis. What does negative area mean?