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Year 10 - Maths

Checking and securing understanding of basic angle facts

Angles

Unit Summary

In this unit pupils use their knowledge of corresponding, alternate and co-interior angles to reason through and solve more complicated problems.

Lesson Summary

You will learn to confidently calculate with angles at a point, angles on a line and vertically opposite angles.

Key Notes

  • Angles that meet around a point sum to 360°
  • Angles that make a straight line sum to 180°
  • Vertically opposite angles are equal.

Vocabulary To Learn

  • Angle: An angle is a measure of turn. It is often displayed as the rotation between two line segments.
  • Sector: A sector is the region formed between two radii and their connecting arc.

Common Mistakes To Avoid

  • Angles on a straight line sum to 180°

3 Quick Questions (With Answers)

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

Angles that meet around a point sum to 360°. Angles that make a straight line sum to 180°.

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

An angle is a measure of turn. It is often displayed as the rotation between two line segments. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Angles on a straight line sum to 180°. Correction: Angles that meet about a single point on a straight line sum to 180°. If the angles are not adjacent, then they may not necessarily sum to 180°.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.