Year 10 - Maths
Checking and securing understanding of polygons
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 recognise and name polygons with five or more sides and recognise the difference between regular and irregular shapes.
Key Notes
- The prefix is derived from Ancient Greek.
- A regular polygon has sides that are all equal and interior (inside) angles that are all equal.
- An irregular polygon has sides that are not equal or interior (inside) angles that are not equal.
Vocabulary To Learn
- Polygon: A polygon is a flat (2D), closed figure made up of straight line segments.
- Regular: A regular polygon has sides that are all equal and interior (inside) angles that are all equal.
- Irregular: An irregular polygon has sides that are not equal or interior (inside) angles that are not equal.
Common Mistakes To Avoid
- The name for a shape only applies to the regular version of that shape. E.g. An irregular pentagon is just a shape, as pentagons must have 5 equal sides.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The prefix is derived from Ancient Greek. A regular polygon has sides that are all equal and interior (inside) angles that are all equal.
2. Use this key word in a maths sentence and explain it clearly. 'Polygon'
A polygon is a flat (2D), closed figure made up of straight 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: The name for a shape only applies to the regular version of that shape. E.g. An irregular pentagon is just a shape, as pentagons must have 5 equal sides. Correction: The name of a shape is known based on the number of sides and these do not have to be regular.
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 properties of shapes Study Guide
- Checking and securing understanding on chains of reasoning with angle facts Study Guide
- Forming equations with angles Study Guide
- Problem solving with angles Study Guide
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