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Year 11 - Maths

Combining densities

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 combine compound measures, calculating overall density.

Key Notes

  • Two densities can be combined to give an overall density.

Vocabulary To Learn

  • Density: The density of a substance is measured as the substance's mass per unit of volume.

Common Mistakes To Avoid

  • Pupils understand they multiply by 100 when converting m to cm, but when converting m^3 to cm^3, fail to recognise the need to multiply by 100^3.

3 Quick Questions (With Answers)

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

Two densities can be combined to give an overall density. Two densities can be combined to give an overall density.

2. Use this key word in a maths sentence and explain it clearly. 'Density'

The density of a substance is measured as the substance's mass per unit of volume. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils understand they multiply by 100 when converting m to cm, but when converting m^3 to cm^3, fail to recognise the need to multiply by 100^3. Correction: Illustrate a 1m^2 square and the equivalent 100cm^2 square, calculating the area and allowing pupils to see the equivalence of 1 m^2 = 10 000 cm^2. Also apply this to a 1m^3 and 100cm^3, thus allowing students to see 1m^2 = 100 000 cm^3.

More Lessons In This Unit

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