Year 11 - Maths
Converting between other compound measures
Compound measures
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
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 convert between other compound measures.
Key Notes
- The units for density can be converted to alternative units.
- The units for pressure can be converted to alternative units.
Vocabulary To Learn
- Pressure: Pressure is the perpendicular force applied to the surface of an object per unit area over which that force is distributed.
- 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^2 to cm^2, fail to recognise the need to multiply by 100^2. This is also the same with volume conversions.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The units for density can be converted to alternative units. The units for pressure can be converted to alternative units.
2. Use this key word in a maths sentence and explain it clearly. 'Pressure'
Pressure is the perpendicular force applied to the surface of an object per unit area over which that force is distributed. 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^2 to cm^2, fail to recognise the need to multiply by 100^2. This is also the same with volume conversions. 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
- Advanced problem solving with compound measures Study Guide
- Checking and further securing understanding of direct proportion in context Study Guide
- Combining densities Study Guide
- Combining speeds Study Guide
- Compound measures for density Study Guide
- Compound measures for pressure Study Guide
- Compound measures for speed Study Guide
- Converting between metric and imperial speed measures Study Guide
- Converting between metric speed measures Study Guide
- Problem solving with compound measures Study Guide
Browse all guides in the Year 11 Maths guide library.