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Aim I can calculate the area of a triangle and a parallelogram. Success Criteria I know the formula for calculating the area of triangles and parallelograms.

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Presentation on theme: "Aim I can calculate the area of a triangle and a parallelogram. Success Criteria I know the formula for calculating the area of triangles and parallelograms."— Presentation transcript:

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2 Aim I can calculate the area of a triangle and a parallelogram. Success Criteria I know the formula for calculating the area of triangles and parallelograms. I can understand why these formulas give the area of triangles and parallelograms. I can use the formulae to calculate the area of triangles and parallelograms.

3 The Area of a Triangle The area of a triangle is based on being half the area of a rectangle.

4 The Area of a Triangle The area of a triangle is based on being half the area of a rectangle.

5 Calculate the Area of a Triangle
Area of a triangle = half the area of the rectangle = half of the base x height height base

6 Calculate the Area of a Triangle
Area of a triangle = half the area of the rectangle = half of the base x height height base

7 Calculate the area of this triangle.
5cm 10cm Area = × 10cm × 5cm = 1 25cm² 2

8 Calculate the area of this triangle.
7cm 8cm Area = × 8cm × 7cm = 1 28cm² 2

9 Calculate the area of this triangle.
6cm 12cm Area = × 12cm × 6cm = 1 36cm² 2

10 Calculate the area of this triangle.
3cm 15cm Area = × 15cm × 3cm = 1 22.5cm² 2

11 Calculate the area of this triangle.
12cm 18cm Area = × 18cm × 12cm = 1 108cm² 2

12 Calculate the area of this triangle.
6cm 10cm Area = × 10cm × 6cm = 1 30cm² 2

13 Calculate the area of this triangle.
4cm 9cm Area = × 9cm × 4cm = 1 18cm² 2

14 Calculate the area of this triangle.
8cm 11cm Area = × 11cm × 8cm = 1 44cm² 2

15 Calculate the area of this triangle.
7cm 16cm Area = × 16cm × 7cm = 1 56cm² 2

16 Calculate the area of this triangle.
9cm 21cm Area = × 21cm × 9cm = 1 94.5cm² 2

17 Calculate the area of this triangle.
6cm 8cm Area = × 8cm × 6cm = 1 24cm² 2

18 Calculate the area of this triangle.
7cm 12cm Area = × 12cm × 7cm = 1 42cm² 2

19 Calculate the area of this triangle.
9cm 10cm Area = × 10cm × 9cm = 1 45cm² 2

20 Calculate the area of this triangle.
11cm 13cm Area = × 13cm × 11cm = 1 71.5cm² 2

21 Calculate the area of this triangle.
12cm 25cm Area = × 25cm × 12cm = 1 150cm² 2

22 Calculate the height of this triangle.
Area = 14cm² 7cm Height = 2 × = 14 4cm 7

23 Calculate the base of this triangle.
5cm Area = 20cm² Base = 2 × = 20 8cm 5

24 Calculate the height of this triangle.
Area = 27cm² 9cm Height = 2 × = 27 6cm 9

25 Calculate the height of this triangle.
Area = 60cm² 12cm Height = 2 × = 60 10cm 12

26 Calculate the base of this triangle.
7cm Area = 52.5cm² Base = 2 × = 52.5 15cm 7

27 The Area of a Parallelogram
The area of a parallelogram is based upon the area of a rectangle that can be made by cutting off one end and moving it to make the rectangle.

28 Calculate the Area of a Parallelogram
Area of a parallelogram = the area of the rectangle = base x height height base

29 Calculate the area of this parallelogram.
10cm 12cm Area = 12cm × 10cm = 120cm²

30 Calculate the area of this parallelogram.
7cm 14cm Area = 14cm × 7cm = 98cm²

31 Calculate the area of this parallelogram.
8cm 15cm Area = 15cm × 8cm = 120cm²

32 Calculate the area of this parallelogram.
6cm 20cm Area = 20cm × 6cm = 120cm²

33 Calculate the area of this parallelogram.
8cm 25cm Area = 25cm × 8cm = 200cm²

34 Calculate the base of this parallelogram.
6cm Area = 42cm² Base = = 42 7cm 6

35 Calculate the height of this parallelogram.
Area = 40cm² 8cm Height = = 40 5cm 8

36 Calculate the base of this parallelogram.
8cm Area = 112cm² Base = = 112 14cm 8

37 Calculate the base of this parallelogram.
3cm Area = 48cm² Base = = 48 16cm 3

38 Calculate the height of this parallelogram.
Area = 300cm² 20cm Height = = 300 15cm 20

39 Aim I can calculate the area of a triangle and a parallelogram. Success Criteria I know the formula for calculating the area of triangles and parallelograms. I can understand why these formulas give the area of triangles and parallelograms. I can use the formulae to calculate the area of triangles and parallelograms.

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