LuduminaFM-09 · FM-U3 · Planned
Acceleration and velocity–time graphs
Learning objectives
Calculate acceleration and interpret velocity–time gradients; H: obtain displacement from signed areas.
8463 §§4.5.6.1.5 / 8464 §§6.5.4.1.5
DfE single-science pp.35–37 / Combined pp.30–32. Evidence checked 30 September–1 October 2026. Skills: WS3.3; MS3b,3c,4a–4f.
Needs firstFM-08
Explanation
Acceleration is change in velocity per second, so it comes from the gradient of a velocity–time graph. Area under that graph gives displacement on the Higher route. The squared-speed equation requires uniform acceleration; it is not restricted to Higher content.
Concepts, equations and units: a=Δv/t; m/s²; v²−u²=2as only uniform acceleration, all-tier content; H area under v–t in m.
Prediction, demonstration and game exercise
Predict, observe, explain
Compare constant velocity, acceleration and braking traces; draw area tiles for H.
Planned learner game exercise
Program a cart through a target velocity trace; H: count squares/triangles to find displacement.
Independent practice
Three acceleration or uniform-acceleration calculations; plot v–t; H area task.
Original practice example · Shared
A cart’s velocity rises from 2 to 10 m/s in 4 s. Find average acceleration.
Show working and model answer
Working / reasoning
a = (10 − 2)/4.
Answer
2 m/s².
Exit check and success criteria
Two correct numerical answers and interpretation of gradient; H distinguishes displacement from total distance if negative velocity used.
During practice, compare the prediction with evidence and give an error-specific prompt. The exit item uses a fresh context or fresh values, answered independently.
Misconceptions, practical links and mastery
Check these misconceptions
Horizontal v–t means stationary; v²−u²=2as is H-only; acceleration is measured in m/s.
Practical preparation
RP-P7/RP-C19 data preparation; AT3.
Virtual preparation and revision only. Required hands-on activities and school records remain separate.
Proposed mastery
0: not yet evidenced. 1: supported. 2: independent exit criteria met. 3: successful changed-context transfer. Advance at 2; revisit with fresh retrieval. These are not GCSE grades.