Year 10 - Maths
Forming equations 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 form and solve equations using your knowledge of angles and polygons.
Key Notes
- Missing angles can be found in polygons using knowledge of exterior and interior angles.
- A missing angle can be represented with an unknown.
- Algebraic statements can be written about the missing angles in polygons.
Vocabulary To Learn
- 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
- Alternate angles are always equal to each other.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Missing angles can be found in polygons using knowledge of exterior and interior angles. A missing angle can be represented with an unknown.
2. Use this key word in a maths sentence and explain it clearly. 'Interior angle'
An interior angle is an angle formed inside a polygon by two of its edges. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Alternate angles are always equal to each other. Correction: Alternate angles are equal when a transversal intersects parallel lines. If the transversal intersects a pair of lines that are not parallel then the alternate angles will not be equal.
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
- Problem solving with angles Study Guide
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