N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Area of a Circle Perimeter & Area Perimeter...

N5 Num

3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Area of a Circle

Perimeter & Area Perimeter & Area ww

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Perimeter Rectilinear & Circle

Area Rectilinear Shapes

Composite Area

N5 Num

Starter Starter QuestionsQuestions


21 32x

75% of £ 240

Q1. Solve the equation below

Q2. Find the missing angles

Q3. Find the average of the numbers below

Q4. Which is the better deal

ao

bo

2,5,6,7

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50% of £ 362or

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3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.www.

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m Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1. Understand the term perimeter of a shape.

1. We are learning the term perimeter of a

shape.

2. Calculate the perimeter of a shape.

PerimeterPerimeter

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PerimeterPerimeterww

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What is perimeter ?

Hint answer is on the screen !

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3 May 20233 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.PerimeterPerimeter


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Perimeter


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PerimeterPerimeteris the distance round the is the distance round the

outside of aoutside of a 2D shape2D shape


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6cm Calculate the Calculate the perimeter of the perimeter of the rectangle below.rectangle below.3cm

Perimeter = 6 +3 +6 +

3 =18cm


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Demo

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3 May 2023 Created by Mr. Lafferty Maths Dept.

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


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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

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m The desks below have been arranged in a certain way. Find the perimeter of each design.

PerimeterPerimeter

2cm

2cm

2cm

2cm

N5 Num


CircumferenceCircumference

10cm

2cm

C D2D r 4D cm

Example : Find the length of the circumference (Perimeter) of each circle

C D 1031.4 cm

412.56 cm

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Wednesday 3 May 2023Wednesday 3 May 2023 Created by Mr Lafferty Created by Mr Lafferty 1212

Example Find the perimeter for the semi-circle shape ?Solution

1 202P D

1P 20 202

180o

P 10 20P 51.4cm


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Example Find the perimeter of the shape below ?Solution1 8 84P D

1 16 8 84P

28.6P cm

8cm90o

4 16P


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Example : Find the perimeter of this shape

20cm

5 cm

Perimeter = 3 sides + semicircle

15 20 5 202

P

30 10 P

61 4.P cm


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Now try N5 Lifeskills

Ex1 Ch6 (page 54)

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Starter QuestionsStarter Questionsww

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Q2. Convert 23metres to (a) cm (b) mm

Q1. What is the time difference 09:28 and 11:55

Q3. The answer to the question is 180. What is the question.

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Area of a Area of a RectangleRectangle

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1.1. Remember area formula Remember area formula for a rectangle.for a rectangle.

1. Develop a formula for the area of a rectangle.

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

3.3. Answer containing Answer containing appropriate unitsappropriate units

N5 Num

Wednesday 3 May 2023 18Created by Mr.Lafferty

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

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


Area of a RhombusArea of a Rhombus

1Rhombus Area= (D×d)2

Rectangle Area = (D×d)D

d

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mThis part of

the rhombusis half of the small

rectangle.

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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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Rhombus and Kite AreaRhombus and Kite Area

1Rhombus Area ( )2D d

1Area = (5 2)2

2Area = 5cm

Example : Find the area of the shapes.

5cm2cm

1Kite Area ( )2D d

1Area = (9 4)2

2Area = 18cm

9cm

4cm

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Rhombus and Kite AreaRhombus and Kite AreaExample : Find the area of the V – shape kite.

1Kite Area ( )2D d

1Area = (7 4)2

2Area = 14cm7cm

4cm

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Parallelogram AreaParallelogram Area

Parallelogram Area b h

b

Important NOTE

h = vertical height

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h

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Parallelogram AreaParallelogram AreaExample 1 : Find the area of parallelogram.

Parallelogram Area b h

Area = 9 32Area = 27cm

9cm

3cm

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Online Demo

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mRectilinear AreaRectilinear Area

Now tryN5 Lifeskills

Ex2 Ch6 (page 56)

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Starter Starter QuestionsQuestions

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(a) 200 cm (b) 550 cm (c) 50 cm

1. True or f alse 2.3 8 = 184

2. Convert metres (m)

3. Show that

4. Find 2 numbers that add to give 7 and multiply to give 10.

3 of 320 = 2404

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1.1. Know the formula for the Know the formula for the area of a circle.area of a circle.

1 We are learning how to calculate the area of a circle.

2. Be able show appropriate working.

Area of a CircleArea of a Circle

What do we call the distance AB in terms of the large circle.


(2 )circumference r

( )radius r

O

A x

O

A x B

What do we call the distance OA in terms ofthe large circle.

circumference

Peeling anorange

2 r

r

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What do we call the distance AB in terms of the large circle.


(2 )circumference r

( )radius r

O

A x

O

A x B

What do we call the distance OA in terms ofthe large circle.

circumference

Peeling anorange

2 r

r

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r

2 r

12

A base height

2A r

What is the formula for the area of a right-angle triangle.

O

Ax B

Use this formula to work outthe area for a circle.

1 22

A r r

Area of a CircleArea of a Circleww

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23

4

12

345

6

78

1 56

78

If we break the circleinto equal sectors

And lay them out side by side We get very close

to a rectangle.

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mArea of a CircleArea of a Circle

Demo

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12 3 4

56

78

thinner and thinnersectors

If we cut the sectors Thinner and thinner then we get closer and closer

to a rectangle. Hence we can represent the area of a circle

by a rectangle.

r

r

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r

r

Area of a rectangle l b 2Area of a rectangle r r r

But the area inside this rectangle is also the area of the circle

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Area = πr2

N5 NumArea of a circleArea of a circle


Q. Find the area of the circle ?

SolutionSolution

2A r 24A

250.26A cm

4cm

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Area of a circleArea of a circle


Q. The diameter of the circle is 60cm. Find area of the circle?

SolutionSolution

2A r60 302 2

Dr cm

230A22826 A cm

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Ex3 Ch6 (page 57)

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m Area of a CircleArea of a Circle

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Starter QuestionsStarter Questionsww

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Q4. Convert 45.1 metres to (a) cm (b) mm

Q3.

Q2. What is the time difference 07:54 and 13:36

Solve 5 37 8 x

Q5. The answer to the question is 90. What is the question.

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Area of a CompositeArea of a Composite


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1.1. Use knowledge gained Use knowledge gained so far to find the area of so far to find the area of more complicated more complicated shapes..shapes..

1. We are learning to find area for more complicated shapes.

2.2. Show appropriate Show appropriate working.working.

Made up ofSimple shapes

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Calculate the area of this shape

8cm

9cm

5cm

6cmA = l x bA = 9 x 8A = 72cm2

A = l x bA = 6 x 5A = 30cm2

Total Area == 102cm2

72 + 30

Area of a Area of a CompositeComposite

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3 May 20233 May 2023


10cm

12cm

8cm

6cm


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3 May 20233 May 2023


10cm

6cm

8cm 4cm

A = l x bA = 8 x 10

A = 80cm2

A = l x bA = 4 x 6A =24cm2

Total Area =

80 + 24= 104cm2


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5cm

6cm

16cm

5cmA = l x bA = l x bA = 16 x 5A = 16 x 5A = 80cmA = 80cm22

Rectangle 1Rectangle 1

Rectangle 2Rectangle 2A = l x bA = l x bA = 6 x 5A = 6 x 5 A = 30cmA = 30cm22

Total Total AreaArea = 80 + 30 =110cm2


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m Example 1 : Find the area of the shape

20cm

5 cm

Area = rectangle + semicircle

21 2

A l b r

2120 5 102

( )A

100 157 A 2257 cmA

Composite AreaComposite Area

N5 Num


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mExample 2 : A circle is contained in a square.Find the grey shaded area below.

Area = square - circle

2 2 -A l r28 8 4- ( )A

64 - 50.24A 213 76 cm.A

8cm

Composite AreaComposite Area

N5 Num



Ex4 Ch6 (page 59)

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your Learning Log ?

Are you on Target ?I can ?



N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Area of a Circle Perimeter & Area Perimeter...

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Transcript of N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Area of a Circle Perimeter & Area Perimeter...