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21st century skills activity · AS 9702 · 1.4

Vectors: running Think-Pair-Share

A step-by-step guide to running Think-Pair-Share on three vector prompts, with full teacher notes and answers. The aim is that it can be run faithfully by any teacher, including a cover teacher.

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What it is, and why it works

Think alone, pair to compare, share to the class

The teacher poses a prompt, ideally one that exposes a misconception. Each learner thinks alone and jots a brief answer in silence, then pairs compare reasoning and agree a shared answer. The teacher then cold-calls pairs to share, and the disagreement is resolved as a class. The silent think means every learner forms a view first, so the discussion is not dominated by the quickest hand.

The Think-Pair-Share flow: each learner commits alone in silence, pairs compare and justify their reasoning, then the class shares by cold call.
Commit alone, compare in pairs, then share to the class

It passes the PIES test:

Positive interdependence

Pairs must agree a shared answer, so each partner relies on the other's reasoning.

Individual accountability

The silent think makes every learner commit to a view first, and any pair may be cold-called to justify it.

Equal participation

Pairing puts half the class talking at once, and both partners must contribute to the shared answer.

Simultaneous interaction

All pairs discuss at the same time, so a large share of the class is reasoning aloud.

Running the structure

About twenty minutes, three prompts

Pose a prompt

Reveal one prompt at a time, ideally one that exposes a misconception.

Think~1 min

Each learner thinks alone and jots a brief answer, with no talking.

Pair

Learners pair up, compare reasoning, and agree a shared answer.

Share

Cold-call two or three pairs to share, then settle the disagreement as a class. Move to the next prompt.

Sentence frames for the share

"I think ... because ..." "we agreed that ..." "it depends on the angle, because ..." "the component that does it is ..."

The teacher's role during the activity

Protect the silent think; it is what makes the discussion honest. While pairs talk, listen for the misconception each prompt targets, then choose which pairs to cold-call so the class hears both a wrong and a right line of reasoning before you settle it.

The three prompts

Each one targets a misconception

Prompt 1 · a misconception
Two forces, 5 N and 3 N, act at the same point. A learner says the resultant must be 8 N. Is this always true? What values could the resultant take?
Prompt 2 · which part does the work
A box is pulled along the ground by a rope at 30 degrees above the horizontal with a force of 20 N. Which part of the force moves the box along the ground, and how would you calculate it?
Prompt 3 · perpendicular vectors
An object travels 3.0 m east and then 4.0 m north. How far is it from the start, and in what direction? How would you set out the calculation?
Teacher notes and answersclick to reveal
Prompt 1.

only true if the forces act in the same direction. The resultant ranges from 5 − 3 = 2 N (opposite directions) to 5 + 3 = 8 N (same direction). If the two forces are perpendicular, the resultant is √(52 + 32) = √34 = 5.8 N. Key point: the resultant of two fixed vectors depends on the angle between them.

Prompt 2.

the horizontal component moves the box along the ground, found from F cos θ = 20 × cos 30° = 17 N. The vertical component, 20 × sin 30° = 10 N, acts upward and does not move the box horizontally.

Prompt 3.

the displacement is the resultant of two perpendicular vectors. Magnitude = √(3.02 + 4.02) = √25 = 5.0 m; direction tan θ = 4.0 / 3.0, so θ = 53° north of east. Encourage a tip-to-tail sketch before the calculation.

Troubleshooting and differentiation

When the room does not behave like the plan

Learners talk during the think: the silent think is the point; insist on a written jot before any pairing.

One partner dominates the pair: ask each pair to be able to give the other partner's reasoning, not just their own.

No pair will volunteer: cold-call by pair, not by individual, so the responsibility is shared.

A prompt is settled too fast: ask for the case that breaks the quick answer, for example perpendicular forces in Prompt 1.

Original work by the TheLucidSTEM team. Designed for the lesson on this site; no past paper material is reproduced.
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