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Lesson plan · IGCSE 0625 · 1.2 · Core (with Extended)

Speed-time graphs and acceleration: when the speed itself changes

The third lesson of motion: read and sketch speed-time graphs, and define acceleration as the change in velocity per unit time. On a speed-time graph a horizontal line is constant speed, not stationary.

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At a glance

The shape of the lesson

Topic
Speed-time graphs and acceleration (Lesson 3 of subtopic 1.2)
Syllabus reference
Cambridge IGCSE Physics 0625, 1.2 (Topic 1: Motion, forces and energy)
Level
Core, with a clearly marked Extended (Supplement) strand
Duration
45 minutes. About 40 to 45 minutes of material; scales to a 60 minute block
Position in scheme
Unit 1.2, Lesson 3. Follows distance-time graphs; builds the speed-time side of the twin-graph poster; the Extended gradient and area work is taken further in Lesson 5
Central visual model
The speed-time side of the twin-graph poster: at rest, constant speed, accelerating, decelerating
Simulation
Acceleration from a Velocity-Time Line (Unit 1): the slope of a speed-time line is the acceleration
Cooperative structure
A simulation-led hook, then a Jigsaw on graph features (full facilitation guide in the activity materials)
Assessment
Label the features of a speed-time graph as an exit ticket, plus random call after the check
Learning objectives

By the end of the lesson, learners can

Core (all learners)
  • read a speed-time graph and state when an object is at rest, at constant speed, accelerating or decelerating
  • sketch a speed-time graph for a described journey
  • define acceleration as the change in velocity per unit time, and recall and use a = Δv ÷ Δt
  • give the unit of acceleration as m/s²
  • tell a speed-time graph from a distance-time graph by reading the axes first
Extended (Supplement)
  • determine an acceleration from the gradient of a speed-time graph
  • determine the distance travelled from the area under a speed-time graph, and treat a deceleration as a negative acceleration

Key vocabulary

speed-time graph, acceleration, deceleration, constant speed, at rest, gradient, area under a graph, metre per second squared, change in velocity. Each term is introduced as it is first needed.

The core visual model

One picture the whole unit shares

The unit shares one picture, the twin-graph poster, and this lesson builds its speed-time side. One journey is drawn as speed against time: on the time axis it is at rest, a horizontal line above the axis is constant speed, a line sloping up is accelerating, and a line sloping down is decelerating. Acceleration is the change in velocity per unit time, a = Δv ÷ Δt, measured in m/s². The simulation Acceleration from a Velocity-Time Line lets learners shape the line and see that a steeper line is a greater acceleration. For Extended learners the same picture gives more: the gradient is the acceleration and the area under the line is the distance.

The speed-time side of the poster: at rest, accelerating, constant speed, then decelerating to rest.
A horizontal line is constant speed, a slope up is speeding up, a slope down is slowing down, and a = Δv ÷ Δt in m/s²
Lesson sequence

Forty-five minutes, phase by phase

TimePhaseWhat happens in the roomGrouping
0 to 5 minHook: shape the lineThe site simulation Acceleration from a Velocity-Time Line runs on the board. Learners shape the line to a target gradient and run it: a steeper line is a greater acceleration, a flat line is constant speed, and a downward line is slowing down. The question: what does the slope of a speed-time line tell us?Whole class, sim on board
5 to 16 minBuild the readingThe speed-time side of the poster is built: a line on the time axis is at rest, a horizontal line above it is constant speed, a line sloping up is accelerating, and a line sloping down is decelerating. Acceleration is defined as the change in velocity per unit time, a = Δv ÷ Δt, with the unit m/s². Extended: the gradient is the acceleration and the area is the distance.Whole class, teacher led
16 to 30 minJigsawEach learner becomes the expert on one feature (constant speed, acceleration, deceleration, or area), meets the other experts, then returns to teach their home group, so the group assembles all four. The full facilitation, with expert cards, a teacher script and the answer key, is in the activity materials in this bundle.Home and expert groups
30 to 38 minCheckOn mini whiteboards, learners label the features of a given speed-time graph and find one acceleration with a = Δv ÷ Δt. A number is called and that learner explains.Individual, then whole class
38 to 45 minPlenary and exitExit ticket: sketch and label a short speed-time journey, find one acceleration, and state what a horizontal line means on a speed-time graph. Learners self assess against the objectives.Individual
Timing and contingency

Protect the parts that carry the learning

The Jigsaw needs its full time to work, because each learner must both learn and teach. Keep the build tight and protect the exit.

Protected: the exit ticket. It is the only individual check of the Core outcomes and is not cut.

If time is short: run the Jigsaw with three features (constant speed, acceleration, deceleration) and set the area feature as the start of Lesson 5.

In a 60 minute block: build a speed-time graph from a ramp and light gates, and for Extended learners find the acceleration from the gradient and the distance from the area.

Running the cooperative task

Jigsaw, in brief

Each learner is assigned one of four features of a speed-time graph: constant speed, acceleration, deceleration, or area. The experts on each feature meet to master it, then return to their home group and teach it, so the group ends with all four. Because each learner is the only source of their feature, every learner must both learn and explain. A full step-by-step facilitation guide, with the expert cards, sentence stems, a teacher script and the answer key, is provided as the activity in this bundle, so the structure can be run faithfully.

Why it suits this lesson. A speed-time graph has several distinct features that are best learned by teaching one to others. The Jigsaw gives every learner a clear, accountable role and assembles the whole picture from the parts.

Examiner traps to pre-empt

What to head off, and how

Trap learners fall intoTeaching move that pre-empts it
Confusing a speed-time graph with a distance-time graph.On a speed-time graph a horizontal line is constant speed; on a distance-time graph it is stationary. Read the axes first, every time.
Reading at rest from a horizontal line.An object is at rest only where the speed-time line is on the time axis, speed zero, not where the line is horizontal above it.
Thinking a downward slope means moving backwards.A downward slope on a speed-time graph means slowing down: the speed is falling. Direction is not shown by a speed-time graph.
Giving acceleration in m/s.Acceleration is a change in speed each second, so its unit is m/s², not m/s.
Extended: missing the gradient and the area.On a speed-time graph the gradient is the acceleration and the area under the line is the distance travelled.
Differentiation and assessment

Support, challenge and the checks

Assessment is formative. The Jigsaw makes every learner teach a feature; the mini-whiteboard check with random call tests an individual; and the exit ticket maps to the Core outcomes, labelling a graph and using a = Δv ÷ Δt.

Equipment and resources

Original work by the TheLucidSTEM team. Items are written in the style of the papers; no past paper question is reproduced. Supplied in editable formats so you can adapt them freely.
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