Year 4 - Maths
Investigate symmetry and symmetrical patterns
Properties of 2D and 3D shapes and symmetry
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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 will complete and compose symmetrical shapes from two congruent shapes and investigate lines of symmetry in 2D shapes.
Lesson Summary
You will learn to find lines of symmetry in real life contexts and design your own symmetrical patterns.
Key Notes
- There are lots of real life examples where you can find lines of symmetry, for example in flags.
- When a pattern is symmetrical, you can fold along its line of symmetry and the two halves will match exactly.
Vocabulary To Learn
- Symmetrical: When a shape, pattern or image has two halves that match exactly when folded, it can be described as symmetrical.
- Line of symmetry: If you were to fold a shape at its line of symmetry, both halves would match exactly.
- Reflect: When you reflect a shape, you flip it over a mirror line or line of symmetry without turning it or changing the size.
Common Mistakes To Avoid
- Children may think that a rectangular flag has diagonal lines of symmetry.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
There are lots of real life examples where you can find lines of symmetry, for example in flags. When a pattern is symmetrical, you can fold along its line of symmetry and the two halves will match exactly.
2. Use this key word in a maths sentence and explain it clearly. 'Symmetrical'
When a shape, pattern or image has two halves that match exactly when folded, it can be described as symmetrical. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may think that a rectangular flag has diagonal lines of symmetry. Correction: Allow children to cut out and fold the flags to help them see that a rectangle does not have any diagonal lines of symmetry.
More Lessons In This Unit
- Complete a symmetrical pattern Study Guide
- Diagonal lines of symmetry Study Guide
- Explore symmetry by joining two identical shapes Study Guide
- Explore, sort and classify triangles Study Guide
- Find lines of symmetry in 2D shapes Study Guide
- Identify different types of triangle Study Guide
- Investigate lines of symmetry in 2D shapes by folding Study Guide
- Reflect polygons in a line of symmetry Study Guide
- Reflect polygons that are dissected by the line of symmetry Study Guide
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