Year 6 - Maths
Shapes with the same areas can have different perimeters and vice versa
Draw, compose and decompose shapes
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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 use knowledge of shape properties to draw, sketch and identify shapes.
Lesson Summary
You know that shapes with the same area can have different perimeters and vice-versa.
Key Notes
- Area and perimeter are calculated from the side lengths of 2D shapes.
- Area is measured in square units.
- Perimeter is measured in units of length.
Vocabulary To Learn
- Area: Area is a measurement of a flat surface. It measures a 2D space.
- Perimeter: The distance around a 2D shape is its perimeter.
Common Mistakes To Avoid
- It is highly common for pupils to mix up area and perimeter or to confuse the notations for the two.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Area and perimeter are calculated from the side lengths of 2D shapes. Area is measured in square units.
2. Use this key word in a maths sentence and explain it clearly. 'Area'
Area is a measurement of a flat surface. It measures a 2D space. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: It is highly common for pupils to mix up area and perimeter or to confuse the notations for the two. Correction: Allow children plenty of opportunity to identify perimeter and area for the same shapes and discuss why the unit of measure is different. You may also wish to build in deliberate errors when modelling or into tasks for children to identify and check.
More Lessons In This Unit
- 3D shapes can be composed from 2D nets Study Guide
- Any parallelogram can be decomposed and the parts rearranged to form a rectangular parallelogram Study Guide
- Reason about compound shapes using the relationship between side lengths and area and perimeter Study Guide
- Reason about shapes using the relationship between side lengths and area and perimeter Study Guide
- The same 3D shapes can be composed from different 2D nets Study Guide
- Two congruent triangles can be arranged to compose a parallelogram Study Guide
- Use knowledge of shape properties to draw shapes accurately using rulers and protractors Study Guide
- Use knowledge of shape properties to sketch and identify shapes Study Guide
- When a 2D shape is decomposed and the parts rearranged, the areas remains the same Study Guide
Browse all guides in the Year 6 Maths guide library.