Study Hub

Study Guides

This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.

Back to Study HubBrowse Year 10 Maths Guides

Year 10 - Maths

Drawing the graph for the equation of a circle

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 using the equation of a circle in the form x^2 + y^2 = r^2 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

  • Radius: The radius is any line segment that joins the centre of a circle to its edge.

Common Mistakes To Avoid

  • There is only value for $$y$$ for any given value of $$x$$

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. 'Radius'

The radius is any line segment that joins the centre of a circle to its edge. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: There is only value for $$y$$ for any given value of $$x$$. Correction: Pythagoras' theorem on a coordinate grid shows that there are two possible places where the $$y$$-coordinate could be for any given value of $x$$. This is also true for the $$x$$-coordinate for any given value of $$y$$.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.