# Topic: Compound Areas Learning objectives: Calculate the area of shapes made from rectangles Identify the necessary information to simplify a problem.

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Topic: Compound Areas Learning objectives: Calculate the area of shapes made from rectangles Identify the necessary information to simplify a problem Keywords: Area, Rectangle, Compound shapes Learning objectives: Calculate the area of shapes made from rectangles Identify the necessary information to simplify a problem Keywords: Area, Rectangle, Compound shapes

Starter For a given area 24 cm 2 draw as many possible rectangles as you can

Starter: Area of shapes made from rectangles How can we find the area of this shape? 7 m 10 m 5 m 15 m A B Area A = 5 × 7 = 35 m 2 Area B = 5 × 15 = 75 m 2 Total area = 35 + 75 = 110 m 2

6 cm 2 cm 8 cm 12 cm 4 cm 6 cm 2 cm 8 cm 12 cm 4 cm 24 cm 2 8 cm 2 Area = 24 + 8 + 8 = 40 cm 2 2 cm 16 cm 2 12 cm 2 Area = 16 + 12 + 12 = 40 cm 2

5mins For a given area of 100 cm 2 draw a compound shape formed from rectangles

Agree or disagree ? 7 m 10 m 5 m 15 m A B a = 7 m Area C = 6 × 7 = 42 m 2 a 3 m b b = 3 m 6 m C

Main activity 20 mins Matching cards Questions Matching cards Questions

Which area can be represented by 3 + 4 x 2 ? How many different ways could you represent Areas A and B?

Find the area of the shape 6cm 8 cm

Plenary Is the following statement always, sometimes or never true? If one rectangle has a larger perimeter than another one, then it will also have a larger area Is the following statement always, sometimes or never true? If one rectangle has a larger perimeter than another one, then it will also have a larger area

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