MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 1Created by Mr.Lafferty Simple Areas Definition : Area is “ how much space a shape takes up”

MNU 2-11cMTH 3-11a MTH 3-11b

Friday 21 April 2023 1Created by Mr.Lafferty

Simple AreasSimple Areas

Definition : Area is “ how much space a shape takes up”

A few types of special Areas

Revision of Square, Rectangle and Triangle

TrapeziumRhombus and kite Parallelogram

Composite shapes

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Starter QuestionsStarter Questions

3 21 30x

40% of £ 240

Q1. Is the solution to the equation x = -3 Explain

Q2. Are the missing angles ao = 45o and bo = 55o

Q3. Explain why the mean is equal to 12

Q4. How many difference ways can you find

ao

bo

16, 9, 15,8

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Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To remember the area To remember the area formula for the square, formula for the square, rectangle and Triangle.rectangle and Triangle.

1. To revise the basic areas including square, rectangles and RAT’s.

2.2. Apply formulae Apply formulae correctly. correctly.

(showing working)(showing working)3.3. Answer containing Answer containing appropriate unitsappropriate units

Revision of AreaRevision of Areaw

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Revision of AreaRevision of Area

l

l l

b h

b

The Square The Rectangle The RAT

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Area = l x l Area = l x b Area = ½b x hPerimeter = 4 x l Perimeter = 2l + 2b


21 Apr 2023 Created by Mr. Lafferty Maths Dept.

Area of a Area of a RectangleRectangle

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Example

Find the area of the rectangle opposite

L = 9cm

B = 2cm

Area = Length x BreadthA = L x BA = 9 x 2

A = 18 cm2

Demo



Below is a drawing of a school Below is a drawing of a school building. Calculate the building. Calculate the perimeter.perimeter.

PerimeterPerimeterw

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Problem

4 m

9 m8 m

x m

12 m

4 m xx = 12 – 9 =3 m = 12 – 9 =3 m

PerimeterPerimeter= 12 + 8 + 3 + 4 + 9 + 4= 12 + 8 + 3 + 4 + 9 + 4

= 40 m= 40 m



Triangle AreaTriangle Area

2

18 6

224

Area

Area cm

6cm

8cm

Example : Find the area of the triangle.

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1

2Area bh



Now try TJ3a

Ex 1Ch8 (page 67)

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AreaArea




576 9

15% of £ 200

Q1. Calculate

Q2. Are the missing angles 70o,40o,40o Explain

Q3. Is the HCF of 10 and 36 180 Explain.

Q4. Explain 2 ways of calculating

110o

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Rhombus and Kite AreaRhombus and Kite Area


1.1. To remember the To remember the formula for the area of formula for the area of ANYANY rhombus and kite. rhombus and kite.

1. To develop a single formula for the area of ANY rhombus and Kite.

2.2. Apply formulae Apply formulae correctly. correctly.

(showing working)(showing working)3.3. Answer containing Answer containing appropriate unitsappropriate unitsw

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Area of a RhombusArea of a Rhombus

1Rhombus Area= (D×d)

2

Rectangle Area = (D×d)D

d

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This part ofthe rhombus

is half of the smallrectangle.



Area of a KiteArea of a Kite

1Kite Area= (D×d)

2

Rectangle Area = (D×d)D

d

Exactly the same process as the rhombus

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1Rhombus Area ( )

2D d

1Area = (5 2)

2

2Area = 5cm

Example : Find the area of the shapes.

5cm

2cm

1Kite Area ( )

2D d

1Area = (9 4)

2

2Area = 18cm

9cm

4cm

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Example : Find the area of the V – shape kite.

1Kite Area ( )

2D d

1Area = (7 4)

2

2Area = 14cm7cm

4cm

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Now try TJ3a

Ex 2Ch8 (page 69)

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AreaArea




( ) a = -2 , b = -4 c = 6a b c

Q1. Is the area of the rhombus equal to 10.5cm2

Explain your answer.

Q2. Show that there are 2880 minutes in 2 days

Q3. Expand 2p( y - 3p) – 2py

Q4. Calculate

7cm

6cm

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Parallelogram AreaParallelogram Area


1.1. To remember the formula To remember the formula for the area of a for the area of a parallelogram.parallelogram.

1. To develop a formula for the area of a parallelogram.

2.2. Apply formula correctly. Apply formula correctly. (showing working)(showing working)

3.3. Answer containing Answer containing appropriate unitsappropriate unitsw

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Parallelogram Area b h

b

Important NOTE

h = vertical height

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h




Example 1 : Find the area of parallelogram.

Parallelogram Area b h

Area = 9 32Area = 27cm

9cm

3cm

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Now try TJ3a

Ex 3Ch8 (page 72)

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AreaArea




Q1. Find the area of the parallelogram

Q2. Is the HCF 6 and 24 24 Explain your answer.

Q3. Show that 11.5 % of 150 is 17.25

Q4. Simplify 3(h -2) + h(2 - 4h) = -4h2 + 6h - 6

7

8

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Trapezium AreaTrapezium Area


1.1. To remember the formula To remember the formula for the area of a for the area of a trapezium.trapezium.

1. To develop a formula for the area of a trapezium.

2.2. Apply formula correctly. Apply formula correctly. (showing working)(showing working)

3.3. Answer containing Answer containing appropriate unitsappropriate units

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W

X Y

Z

1

2

a cm

b cm

h cm

Two triangles WXY and WYZ

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1 ( )

2Total Area a b h

1 1

2 2Total Area ah bh

21

2Area bh1

1

2Area ah




1Trapezium Area = (5 6) 4

2

2Trapezium Area = 22cm

Example : Find the area of the trapezium.

6cm

4cm

5cm

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1 ( )

2Area a b h



Now try TJ3a

Ex 4Ch8 (page 74)

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AreaArea




Q1. Find the area of the trapezium

Q2. Is the HCF for 4 and 12 equal to 2.Explain your answer.

Q3. Find 6.5% of 60

Q4. Is 3(f – 4) - 4f = 7f -12 Explain your answer

7

9

8

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Composite AreasComposite Areas


1.1. To understand the term To understand the term composite.composite.

1. To show how we can apply basic area formulae to solve more complicated shapes. 2.2. To apply basic formulae To apply basic formulae

to solve composite to solve composite shapes.shapes.

3.3. Answer containing Answer containing appropriate unitsappropriate units

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21 1Triangle Area = 6 5 15

2 2b h cm

2Rectangle Area = 3 4 12l b cm

2Total Area = 15+12=27cm

We can use our knowledge of the basic areas to work out more complicated shapes.

4cm

3cm5cm

6cm

Example 1 : Find the area of the arrow.

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1Trapezium Area = ( )

2a b h

Trapezium Area - Triangle Area

1Triangle Area =

2bh

21= (10 8) 11 99

2cm

Example : Find the area of the shaded area.

11cm

10cm

8cm

4cm21

= 4 11 222

cm

2Shaded Area = 99 - 22 77cm

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Now try TJ3a

Ex 5Ch8 (page 75)

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AreaAreaHave you updated your Learning Log ?

Are you on Target ?I can ?

Documents

MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 1Created by Mr.Lafferty Simple Areas Definition : Area is “ how much space a shape takes up”