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# Area and Algebra

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## Mr Mattock

on 17 May 2015

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#### Transcript of Area and Algebra

Area and Algebra
Starter
Find 3 different calculations that will give the shaded area.
Algebra and Area
Main Activity
Find 3 different expressions for the shaded area.
L.O. - To describe areas using algebraic expressions (Level 7).
Starter
Find 3 different calculations that will give the shaded area.
15 x 8 + 7 x 5

8 x 8 + 13 x 7

15 x 13 - 5 x 8
Algebra and Area
195 - 8x

15(13 -x) + 7x

91 + 8(13-x)
42 + 7(14 - x)

10(14-x) + 3x

140 - 7x
162 + 6(18 - x)

15(18-x) + 9x

270 - 6x
14(x-8) + 64

8x + 6(x-8)

14x - 48
Algebra and Area part 2
area = a area = b
How many different expressions can you find
for this shape?
Algebra and Area part 2
area = a area = b
How many different expressions can you find
for this shape?
a + b + b + a
2a + 2b
2(a + b)
Main Activity 2
Find as many expressions for the areas of these shapes as possible.
Build and draw shapes that have these areas:
(a) 2a + b (b) a + 2b (c) 3a + 2b
(d) 2(3a + b) (e) 3(2a + b) (f) 2(5a + 3b)
Main Activity 2
Find as many expressions for the areas of these shapes as possible.
a + b + b + b + a
= 2a + 3b (or a + 3b + a etc)
a + a + a + a + b = 4a + b
2a + 4b
2(a + 2b)
2b - 2a
2(b - a)
b - a + b + a
2b
Main Activity 2
Build and draw shapes that have these areas:
(a) 2a + b (b) a + 2b (c) 3a + 2b

(d) 2(3a + b) (e) 3(2a + b) (f) 2(5a + 3b)
Full transcript