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Can you work out the area of each shape?
Starter Can you work out the area of each shape? Each square is 1 cm².
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Area: the amount of space th shape takes up. Measured in cm², m², mm².
Glossary Area: the amount of space th shape takes up. Measured in cm², m², mm². Perimeter: the distance around the edge of the shape. Measured in cm, m, mm. Area Perimeter
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Count the squares inside the shape
Area =
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 Area = 42 cm²
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Count the squares around the edge
Area = 42 cm² Perimeter =
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Area = 42 cm² Perimeter = 26 cm 7 8 9 10 11 12 13 6 14 5 15 4 16 3 17
18 1 19 26 25 24 23 22 21 20 Area = 42 cm² Perimeter = 26 cm
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Can you work out the area of each shape?
Review Can you work out the area of each shape? Each square is 1 cm². 20 cm² 24 cm² 15 cm²
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Task Complete the dominoes activity by matching each question to its answer. Cut along the bold lines only. Each square is 1 cm².
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Answers
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Area = 12 cm² 3 lots of 4 3 x 4 = 12 cm² 3 lots of 5 3 x 5 = 15 cm²
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Area = 6 lots of 8 6 x 8 = 48 cm² Area = 5 lots of 5 5 x 5 = 25 m²
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Perimeter = 8 + 6 + 8 + 6 = 28 cm Perimeter = 5 + 5 + 5 + 5 = 20 m
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Place any nine numbers below into the grid (repeats forbidden)
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Find the area 5 cm 6 cm 30 cm² 14
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Find the perimeter 1 cm 5 cm 12 cm 15
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Find the area 6 cm 9 cm 54 cm² 16
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Find the area 3 cm 8 cm 24 cm² 17
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Find the area 3 cm 11 cm 33 cm² 18
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Find the perimeter 10 cm 14 cm 48 cm 19
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Find the area 7 cm 9 cm 63 cm 2 20
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Find the area 7 cm 7 cm 49 cm² 21
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Find the perimeter 9 cm 9 cm 36 cm 22
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Find the area 2 cm 5 cm 10 cm² 23
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Does it matter that it’s a triangle?
Find the perimeter Does it matter that it’s a triangle? 3 cm 3 cm 3 cm 9 cm 24
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Find the area 3 cm 5 cm 15 cm² 25
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Find the perimeter 4 cm 4 cm 16 cm 26
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Find the area 5 cm 5 cm 25 cm² 27
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Find the area 3 cm 7 cm 21 cm² 28
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Find the area 5 cm 11 cm 55 cm² 29
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Answers A = 15 cm² A = 1 cm² A = 24 cm² P = 16 cm P = 4 cm P = 20 cm
A = 12.5 cm² A = 2 cm² A = 0.75 m² P = 15 cm P = 7.4 cm P = 4 m A = m² A = 0.6 cm² A = 39 mm² P = 5.3 m P = 3.4 cm P = 3.2 mm 18 cm 9 cm² 30 cm 22 m 20 mm² 56 mm²
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Starter Match the area and perimeter to its rectangle.
Fill in the missing cards.
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Answers
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How can we calculate the area of this compound shape?
Split it into two rectangles. 6 cm 4 x 6 = 24 cm² 4 cm 6 cm 8 cm 8 x 4 = 32 cm² 8 cm 4 cm = 56 cm² 10 cm ? cm 10 – 6 = 4 cm
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Answers 13 cm² 66 cm² 42 cm² 126 cm² 112 cm² 108 cm²
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Answers 22 cm 34 cm 30 cm 49 cm 56 cm 66 cm
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What is the area of triangle A?
Hint: What is the relationship between a rectangle and a triangle? height Hint: How could you use the area of a rectangle to work out the area of a triangle? base
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Work out the area of the triangle.
4cm 6cm Area of triangle = ½ x 6 x 4 Area of triangle = ½ x 24 Area of triangle = 12cm2
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Work out the area of the triangle.
Area of triangle = ½ x 5 x 7 Area of triangle = ½ x 35 7cm Area of triangle = 17.5 cm2 5cm
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Answers Extension: 21 x 2 = 42 42 ÷ 7 = 6cm ½ x 7 x 4 = 14cm2
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How can we calculate the area of this parallelogram?
6 cm 5 cm 5cm 5cm
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How can we calculate the area of this parallelogram?
4 cm 2 cm 5 cm 5cm 5cm
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How can we calculate the area of this parallelogram?
4 cm 2 cm 5 cm 2 cm 4 cm
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How can we calculate the area of this parallelogram?
5 cm 2 cm 4 cm
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How can we calculate the area of this parallelogram?
5 cm 6 x 5 = 30 cm² 6 cm
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What about this one? 7 x 9 = 63 cm² 7 cm 9 cm
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15 cm² 56 cm² 49 cm² 64 cm² A B C D
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20 cm² 45 cm² 180 cm² 36 cm² A B C D
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80 cm² 20 cm² 100 cm² 18 cm² A B C D
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Area and Perimeter Bingo
Draw a 3 x 3 grid (what’s its area?) and fill it with 9 of the numbers below. Don’t forget to include units! 21 m² 10 cm² 12 m² 6 m 1 m² 4 m 20 cm² 5 cm² 13 m² 8 cm² 16 cm² 24 m 17 m² 7 m² 9 m² 14 cm² 18 m² 19 cm² 15 cm² 3 m 23 cm² 22 cm² 2 m² 11 m²
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What is the area of this shape?
4 cm 5 cm
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What is the area of this shape?
2 cm 8 cm
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What is the area of this shape?
6 cm 4 cm
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What is the area of this shape?
3 m 7 m
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What is the area of this shape?
1 m 17 m
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What is the area of this shape?
4 cm 2 cm
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What is the area of this shape?
7 cm 4 cm
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What is the area of this shape?
2 m 9 m
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What is the perimeter of this shape?
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What is the area of this shape?
1 m 13 m
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What is the perimeter of this shape?
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What is the area of this shape?
5 cm 2 cm
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What is the perimeter of this shape?
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What is the area of this shape?
1 m 1 m
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What is the area of this shape?
2 cm 5 cm
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What is the area of this shape?
5 cm 6 cm
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What is the area of this shape?
1 m 2 m
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What is the perimeter of this shape?
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What is the area of this shape?
2 cm 11 cm
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What is the area of this shape?
1 m 11 m
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What is the area of this shape?
1 m 7 m
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What is the area of this shape?
1 cm 19 cm
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What is the area of this shape?
3 m 3 m
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What is the area of this shape?
1 cm 23 cm
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How can we calculate the area of this trapezium?
b h h b a
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a + b h a + b How can we calculate the area of this trapezium?
Area of parallelogram = h (a + b)
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a + b h a + b How can we calculate the area of this trapezium?
Area of trapezium = ½ h (a + b)
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a h b How can we calculate the area of this trapezium?
Area of trapezium = ½ h (a + b)
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5 cm ½ x 8 x (5 + 7) = ½ x 8 x 12 8 cm = ½ x 96 = 48 cm² 7 cm
What about this one? 5 cm ½ x 8 x (5 + 7) = ½ x 8 x 12 8 cm = ½ x 96 = 48 cm² 7 cm
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Answers 30 cm² 18 cm² 121 cm² 168 cm² 77 cm² 54 cm² 18 cm² 16.9 cm²
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