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Year 10 - Maths

Drawing exponential 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 an exponential graph from its equation and then draw the graph.

Key Notes

  • 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

  • Exponential: The general form for an exponential equation is $$y = ab^x$$ where $$a$$ is the coefficient, $$b$$ is the base and $$x$$ is the exponent.

Common Mistakes To Avoid

  • $$y = 2^x$$ evaluates to $$0$$ when $$x = 0$$

3 Quick Questions (With Answers)

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

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.

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

The general form for an exponential equation is $$y = ab^x$$ where $$a$$ is the coefficient, $$b$$ is the base and $$x$$ is the exponent. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: $$y = 2^x$$ evaluates to $$0$$ when $$x = 0$$. Correction: Remind pupils of the laws of indices that can be used to show that $$b^{0} = 1$$.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.