Starter quiz
- What does the small 2 signify in units of measure such as cm²?
- Units halved.
- Units squared. ✓
- Units cubed.
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- Which of these statements is true?
- Two different shapes always have the same perimeter.
- Two different shapes can have the same perimeter. ✓
- Two different shapes cannot have the same perimeter.
- Two different shapes may or may not have the same perimeter. ✓
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What is the perimeter of this shape?- 8 units
- 15 units
- 16 units ✓
- 20 units
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What is the perimeter of this shape? Remember to use the correct unit of measure.- '110 mm' ✓
The area of the rectangle is ______ cm²- '72' ✓
- A rectangle has side lengths of 15 cm and 9 cm. Its area is ______ cm².
- '135' ✓
Exit quiz
What is true of these three shapes?- They all have the same area. ✓
- They all have different areas.
- They all have the same perimeter.
- One of them has a different perimeter. ✓
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- Is it possible for two different rectangles with the same area to have the same perimeter?
- Yes but it depends on the distance around them. ✓
- Yes because all rectangles have the same perimeter.
- No. If they are two different rectangles they must have a different perimeter.
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- Is it possible for two different shapes with the same perimeter to have different areas?
- Yes, but it can't be the same type of shape, for example two rectangles.
- Yes, depending on how the shapes are arranged. ✓
- No. If the perimeter is the same, the area must be the same.
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- Tick all of the statements that are true. Two different shapes:
- can have the same perimeter. ✓
- cannot have the same perimeter.
- can have the same area. ✓
- cannot have the same area.
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What can be said about these shapes?- Same perimeter, same area.
- Different perimeter, different area.
- Same perimeter, different area.
- Same area, different perimeter. ✓
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What can be said about these shapes?- Same perimeter, same area.
- Different perimeter, different area.
- Same perimeter, different area. ✓
- Same area, different perimeter.
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- 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.
Common misconception
It is highly common for pupils to mix up area and perimeter or to confuse the notations for the two.
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.
Keywords
Area - Area is a measurement of a flat surface. It measures a 2D space.
Perimeter - The distance around a 2D shape is its perimeter.
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