Starter quiz
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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- What is true for any regular shape?
- It has all right angles.
- It has all sides the same length. ✓
- It must be a circle, triangle or a square.
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- What is the area of a square with a side length of 5 cm?
- 20 cm
- 20 cm²
- 25 cm
- 25 cm² ✓
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- What is the perimeter of a square with a side length of 6 cm?
- 24 cm ✓
- 24 cm²
- 36 cm
- 36 cm²
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- 12 × 6 = ______
- '72' ✓
- 12 × 16 = ______
- '192' ✓
Exit quiz
- Which of the following is true?
- Two shapes with the same area must have the same perimeters.
- Two shapes with the same perimeter must have the same area.
- Two shapes with the same area can have different perimeters. ✓
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How can the perimeter of this shape be increased without its area changing?- It cannot be increased, shapes with the same area must have the same perimeter.
- Rearrange the squares so that more side lengths are on the outside of the shape. ✓
- Rearrange the squares so that fewer side lengths are on the outside of the shape
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- The side length of an equilateral triangle is 8 cm. What is the area of a square with the same perimeter? ______ cm².
- '36' ✓
- The side length of a regular pentagon is 8 cm. What is the area of a square with the same perimeter? ______ cm².
- '100' ✓
- How many rectangles can be drawn with whole number side lengths that have an area of 4 cm²?
- 1
- 2, and the perimeters are different. ✓
- 2, and the perimeters are the same.
- 3, and the perimeters are the same.
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- How many rectangles can be drawn with whole number side lengths that have an area of 16 cm²?
- 1
- 2, and the perimeters are different.
- 2, and the perimeters are the same.
- 3, and the perimeters are different. ✓
- 3, and the perimeters are the same.
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Worksheet
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Presentation
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Lesson Details
Key learning points
- Area and perimeter are calculated from the side lengths of 2D shapes.
- Perimeter is measured in units of length.
- Area is measured in squared units.
Common misconception
Because area and perimeter are so often discussed alongside each other - as is the case with this lesson - pupils often get the two confused.
By now pupils should be very familiar with area and perimeter, so that they can apply the knowledge to problem solving. However, spend time going over the definitions at the start and ensure pupils have access to visual reminders.
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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