Kenneth ChengMathematical modeling
← Senior Mathematics Studio

LEARN · EXPLAIN · REVISE

A walker travels 9 m east then 9 m west. Find the magnitude of displacement.

Read the idea, work independently, then explain what changed.

Return to the lesson / paper ↗

TOPIC 01

Plane vectors and applications: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

What you will be able to explain

  • Connect the chapter skills without relying on the order of the exercises.

Try it. Leave your reasoning visible.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Standard#Your turn

A walker travels 9 m east then 9 m west. Find the magnitude of displacement.

  • Use the domain, units and sampling assumptions stated in the question.
Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1
Separate magnitude, direction and position; compare vectors by displacement.
Hint 2
Displacement depends only on start and finish.
Worked solution

  1. Separate magnitude, direction and position; compare vectors by displacement.

  2. Calculate or simplify this relation.

    (9,0)+(−9,0)=(0,0)(9,0)+(-9,0)=(0,0)

  3. The distance travelled is 18 m, although displacement is zero.

The requested value is 0.

Checks and common pitfalls: The distance travelled is 18 m, although displacement is zero.

Think first. Reveal a hint when the class is ready.

Focus on one question

Teacher preparation and assessment

Question sequence

  • Ask students to name the relevant condition before calculating.

Board plan

  • Compare valid methods and annotate their conditions.

Anticipated thinking

  • A correct final value may still hide a missing assumption.

Assessment checklist

  • Check the method, conditions, reasoning and interpretation separately.

No sign-in. Work stays in this browser. Export before clearing browser data. Written reasoning is assessed with a checklist.

Curriculum and source notes ↗