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Year 10 - Maths

Drawing reciprocal graphs

Non-linear graphs

Unit Summary

In this unit graphical representations of non-linear graphs are introduced and explored, and their key features identified.

Lesson Summary

You will learn to generate coordinate pairs for a reciprocal graph from its equation and then draw the graph.

Key Notes

  • Inverse proportion graphs are reciprocal graphs.
  • A table of values can be useful to identify coordinate pairs which satisfy the equation.
  • By substituting the values for x, you can calculate corresponding values for y.
  • If used correctly, your calculator can be a powerful tool to speed up calculations.

Vocabulary To Learn

  • Reciprocal: The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Common Mistakes To Avoid

  • $$1 / 0$$ evaluates to give $$0$$

3 Quick Questions (With Answers)

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

Inverse proportion graphs are reciprocal graphs. A table of values can be useful to identify coordinate pairs which satisfy the equation.

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

The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: $$1 / 0$$ evaluates to give $$0$$. Correction: Get pupils to consider what happens when $$x=1/2$$, $$x=1/3$$, $$x=1/4$$ etc. This will help them spot the role of the $$y$$ axis as asymptote for themselves.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.