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Year 11 - Maths

Advanced problem solving with compound measures

Compound measures

Unit Summary

In this unit, pupils explore the multiplicative relationship between different compound meaures and units such as speed, rates of pay, density and pressure.

Lesson Summary

You will learn to use your knowledge of compound measures to solve problems.

Key Notes

  • Average speed cameras are a context involving average speed.
  • Engineers care about the density of materials.
  • Divers care about the pressure exerted on them when diving.

Vocabulary To Learn

  • Rate of flow: Rate of flow measures the volume of fluid that passes through a particular pipe/channel per unit of time.

Common Mistakes To Avoid

  • E.g 4.5 hours is 4 hours and 50 minutes

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Average speed cameras are a context involving average speed. Engineers care about the density of materials.

2. Use this key word in a maths sentence and explain it clearly. 'Rate of flow'

Rate of flow measures the volume of fluid that passes through a particular pipe/channel per unit of time. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: E.g 4.5 hours is 4 hours and 50 minutes. Correction: Encouraging pupils to use ratio tables to represent proportional relationships using minutes allows them to appreciate the multiplier of 60 when converting hours to minutes, or minutes to seconds.

More Lessons In This Unit

Browse all guides in the Year 11 Maths guide library.