Starter quiz
Which words describe the smaller shapes the larger square is composed of?- Polygons ✓
- 2D shapes ✓
- Pentagons
- 3D shapes
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- Which words describe the smaller shapes the larger square is composed of?
- Square ✓
- Pentagon
- Parallelogram ✓
- Right-angled triangle ✓
- Trapezium
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- What is area?
- The distance around the edge of a shape.
- The measurement of space in a 2D shape. ✓
- The number of sides in a shape.
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- Which of these properties must a shape have for it to have an area?
- The sides must be closed. ✓
- The sides must all be straight.
- It must be a square shape.
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- If you decompose a shape, what do you do?
- Break it into parts that are the same as the original when put back together. ✓
- Put it together from parts.
- Reduce its size.
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- Is it possible for two 2D shapes to have the same area?
- Yes, as long as they take up the same amount of space. ✓
- Yes, as long as they are different types of the same shape,for example triangle.
- No, two 2D shapes cannot have the same area.
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Exit quiz
- Which of these compound shapes have the same area as each other?
- The three shapes are composed of parts that are the same size. Select the shapes that have the same area.
Shape A ✓
Shape B
Shape C ✓
- Select the shapes that have the same area.
What can be done so that the shapes have the same area?- Remove the parallelogram from shape a.
- Add a parallelogram to shape b. ✓
- Nothing. They already have the same area.
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- These compound shapes are composed of identical smaller shapes. Which have the same area?
Shape A ✓
Shape B ✓
Shape C
Shape D
The two compound shapes have been composed of identical smaller shapes. Which of these statements is true?- The shapes have the same area. ✓
- The area of a is greater than the area of b.
- The area of b is greater than the area of a.
- They are both compound shapes. ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- The area of the compound shape is equal to the total areas of its parts
- 2D shapes can be decomposed and rearranged in different ways
- 2D shapes can be decomposed and rearranged in different ways but the total area stays the same
Common misconception
Children may assume some shapes have a larger area than others by comparison of a certain dimension. In this lesson, pattern blocks can be arranged to create shapes with very different dimensions.
Encourage pupils to rearrange the composing shapes to prove that the compound shapes have the same area. This can be done effectively with tangrams or pattern blocks, both of which feature heavily in this lesson.
Keywords
Compound shape - A compound shape is a shape created using two or more basic shapes.
Area - Area is the measurement of a flat surface. It measures a 2D space.
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