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Year 10 - Maths

Checking and securing understanding of direct proportion in context

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Unit Summary

In this unit, pupils investigate the effect of an enlargement on the perimeter and area of a 2-D shape and the volume of a 3-D shape.

Lesson Summary

You will learn to recognise direct proportion in a range of contexts, including compound measures.

Key Notes

  • Direct proportion can be used in a number of contexts.
  • One context is converting compound measure.
  • Another is currency conversion.
  • Regardless of the context, if one quantity is zero, the other must be as well.
  • It is useful to be able to recognise which contexts involve direct proportion.

Vocabulary To Learn

  • Direct proportion: Two variables are in direct proportion if they have a constant multiplicative relationship.

Common Mistakes To Avoid

  • All straight line graphs show direct proportion.

3 Quick Questions (With Answers)

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

Direct proportion can be used in a number of contexts. One context is converting compound measure.

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

Two variables are in direct proportion if they have a constant multiplicative relationship. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: All straight line graphs show direct proportion. Correction: Only straight line graphs that pass through the origin (0, 0) show direct proportion.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.