Starter quiz
- To calculate the ______ of a rectangle, multiply the length by the width.
- 'area' ✓
What is the area of this square? ______ cm².- '81' ✓
Calculate the area of this rectangle. A = ______ cm².- '105' ✓
- What is the area of the lawn if the sides measure 13 m and 9 m?
- '117' ✓
- A picture is put into a frame that is 17cm long and 8 cm wide. What is the area of the glass in the frame? ______ cm².
- '136' ✓
- The school hall measures 25 m by 9 m. What is the area of the hall floor? ______ m².
- '225 ' ✓
Exit quiz
- Match the start and end of the sentences to describe the shapes correctly.
- A rectilinear shape⇔has all angles made from right angles. ✓
- A compound shape⇔is made up of two or more shapes. ✓
Which times tables facts are needed to calculate the area of the shape?- 10 × 8 ✓
- 8 × 8
- 6 × 8 ✓
- 10 × 6
-
Which times tables facts are needed to calculate the area of the shape?- 8 × 8 ✓
- 6 × 8
- 10 × 6
- 8 × 8 ✓
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True or false. These rectilinear shapes show the same area.- True. The smaller rectangle has changed position. ✓
- False. The area of the shape is different.
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Calculate the area of this rectilinear shape. ______ m²- '72' ✓
Calculate the area of this rectilinear shape. ______ m²- '129' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Different ways of decomposing the shape will give the same answer.
- The area stays the same however you split the shape.
- Calculate the areas of the rectangular parts and recombine to find the area of the whole shape.
Common misconception
Some pupils may not see that two rectilinear shapes can look very different but have the same area.
Cut out a large rectangle. Cut it into two rectangles. Ask pupils to move one of the rectangles and reposition it. Has the area changed?
Keywords
Rectilinear - A shape made up of two or more rectangles is known as rectilinear.
Compound - A compound shape is one made up of two or more shapes.
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