Year 10 - Maths
Problem solving with angles
Angles
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
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 use your knowledge of angles to solve problems.
Key Notes
- Problems can be solved using parallel line angle facts.
- Problems can be solved using interior and exterior angles of polygons.
- Problems can be solved and the solution justified using angle facts.
Vocabulary To Learn
- Alternate angles: Alternate angles are a pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.
- Interior angle: An interior angle is an angle formed inside a polygon by two of its edges.
- Exterior angle: An exterior angle is an angle on the outside of a polygon between an extension of an edge and the adjacent edge.
Common Mistakes To Avoid
- Lines cannot be added to the given diagram.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Problems can be solved using parallel line angle facts. Problems can be solved using interior and exterior angles of polygons.
2. Use this key word in a maths sentence and explain it clearly. 'Alternate angles'
Alternate angles are a pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Lines cannot be added to the given diagram. Correction: Often adding additional or found information to a given diagram can help progress towards a solution. Pupils should not be afraid to extend given line segments nor add notation if appropriate.
More Lessons In This Unit
- Checking and securing understanding of advanced angle facts Study Guide
- Checking and securing understanding of angle notation and drawing/measuring angles Study Guide
- Checking and securing understanding of basic angle facts Study Guide
- Checking and securing understanding of exterior angles Study Guide
- Checking and securing understanding of interior angles Study Guide
- Checking and securing understanding of polygons Study Guide
- Checking and securing understanding of properties of shapes Study Guide
- Checking and securing understanding on chains of reasoning with angle facts Study Guide
- Forming equations with angles Study Guide
Browse all guides in the Year 10 Maths guide library.