Area of a rectangle

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S5 Int 1 Area of a rectangle Area of composite shapes Area of a right-angled triangle www.mathsrevision.com Simple Areas Area of a circle

description

Simple Areas. Area of a rectangle. Area of a right-angled triangle. www.mathsrevision.com. Area of a circle. Area of composite shapes. Starter Questions. www.mathsrevision.com. 34 o. Area of a Rectangle. Learning Intention. Success Criteria. - PowerPoint PPT Presentation

Transcript of Area of a rectangle

Page 1: Area of a rectangle

S5 Int 1

Area of a rectangle

Area of composite shapes

Area of a right-angled triangle

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Simple Areas

Area of a circle

Page 2: Area of a rectangle

S5 Int 1

Starter QuestionsStarter Questions

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2. Calculate 25% of 824

3. What is the name of the shape will this net make.

4. Calculate the value of the missing angle.

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Area of a RectangleArea of a Rectangle

www.mathsrevision.comwww.mathsrevision.comww

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1.1. To be able to state area To be able to state area formula for a rectangle.formula for a rectangle.

1. To come up with a formula

for the area of a rectangle.

2. Use the formula to solve problems.

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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Problem…

General Jack’s Carpets

Only £5 a square metre!

How much for this one? ?

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3 rows of 6 squares

Problem…

6 square metres

6 square metres

6 square metres

= 3 x 6 = 18 square metres

= 1 square metre

3 m

6 m

1m

1m

How much for 18 square metres?

18 x £5 = £90

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Area of a rectangle

6 = 18 m²

3 m

6 m

3

6

Area = length

x breadth

length

breadth

x 3

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Now try TJ Int 1 Chapter Ex Page

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Area

Page 8: Area of a rectangle

S5 Int 1Example

111 cm

6 cm

Area = length x breadth

A = l x b

A = 11 x 6

A = 66 cm²

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Find the area of the rectangle

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Example 2

12 cm

Area = length x breadth

A = l x b

A = 12 x 12

A = 144 cm²

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Find the area of the square

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Starter Starter QuestionsQuestions

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2. Calculate 30% of 200

3. What is the name of the shape will this net make.

4. Calculate the value of the missing angle.

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Area of A Right-Angled Triangle

www.mathsrevision.comwww.mathsrevision.comww

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1.1. Know area of a right-Know area of a right-angled triangle formulaangled triangle formula

1. Use the area of a Use the area of a rectangle formula to rectangle formula to help help us to come up us to come up with a with a formula formula to calculate the to calculate the area of any right-angled area of any right-angled

triangle.triangle.

2.2. Use formula to work out Use formula to work out area of triangle.area of triangle.

3.3. Show all working and Show all working and units.units.

Page 12: Area of a rectangle

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Area of a right-angled triangle

Area of rectangle= l x b = 28 cm²

4 cm

7 cm

= 7 x 4

Area of triangle

= 14 cm²

= ½ x 28

= ½ x Area of rectangle

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Area of triangleShort cut

4 cm

7 cm

Area of triangle = 14 cm²

= ½ x 28

= ½ x 7 x 4

Area Δ = x base x height

½

base

height

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Example 1

10 cm

15 cm

Area Δ=½ x base x height

AΔ =½ x b x h

AΔ = ½ x 15 x 10

AΔ = 75 cm²

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Find the area ofthe triangle

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Example 2

12 cm

8 cmArea Δ=½ x base x height

AΔ =½ x b x h

AΔ = ½ x 8 x 12

AΔ = 48 cm²

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Find the area ofthe triangle

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Now try TJ Int 1 Chapter Ex Page

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Area

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Starter Starter QuestionsQuestions

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x1. 39 - 2 3

2. Calculate 15% of 360

3. Round to 1 decimal place 75.6299

4. Calculate the value of the missing angle.

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Area of circle

www.mathsrevision.comwww.mathsrevision.comww

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1.1. Know area of a circle Know area of a circle formulaformula

1. Use the area of a Use the area of a circle formula to circle formula to calculate the area of calculate the area of different size circles, different size circles, semi-circles and quarter semi-circles and quarter circles.circles.

2.2. Use formula to work out Use formula to work out area of different size area of different size circles, semi-circles and circles, semi-circles and quarter circles.quarter circles.

3.3. Show all working and Show all working and units.units.

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Area of a circleArea of a circle

Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 1919

Q. Find the area of the circle ?

SolutionSolution

2A r 210A

2314A cm

10cm

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The Area of a The Area of a circlecircle

Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2020

Q. Find the area of the circle ?

SolutionSolution

2A r 24A

250.26A cm

4cm

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The Area of a The Area of a circlecircle

Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2121

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

SolutionSolution

2A r60

302 2D

r cm

230A22827.43A cmw

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The Area of a The Area of a circlecircle

Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2222

Find the area of the semi-circle ?

Solution

212

A r

2157Area cm

2110

2Area

1

10 102

Area

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length of the length of the arc of a circlearc of a circle

Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2323

Find the area of the quarter circle ?Solution

214

Area r

218

4Area

250.3Area cm

8cm

1

8 84

Area

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Page 24: Area of a rectangle

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Now try TJ Int 1 Chapter Ex Page

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Composite shapes

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Starter Starter QuestionsQuestions

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2. Calculate 25% of 1000

3. What is the name of the shape will this net make.

4. Calculate the value of the missing angle.

34o

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Area of a Area of a CompositeComposite

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1.1. To be able to use To be able to use knowledge gained so far knowledge gained so far to find the area of more to find the area of more complicated shapes..complicated shapes..

1. To use knowledge to find area of more complicate shapes.

2.2. Show appropriate Show appropriate working.working.

Made up ofSimple shapes

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?

Composite shapes

6 cm

10 cm

13 cm?3

cm

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6 cm

6 cm?

10 cm

(1) (2)

Area (1)= l x b = 60 cm²

= 10 x 6

Area (2) = 9 cm² = ½ x 3 x 6

= ½ x b x h

Area of shape= (1) + (2)

= 69 cm²

= 60 + 9

3 cm

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Composite shapes

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ExampleArea (1)= =15 x 8

Area (2) = l x b

l x b

= 120 cm²

=9 x 3= 27 cm²

Area of shape =(1) + (2)

= 120 + 27

= 147 cm²

15cm

11

cm

6cm 3cm

(1)

(2)

?9cm

8cm?

Find the area of the shape

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ExampleArea (1)= =20 x 12

Area (2) = l x b

12cm

20cm10cm

6cm

(1)

(2)

l x b

= 240 cm²

=10 x 6= 60 cm²

Area of shape =(1) – (2)

= 240 -60

= 180 cm² Find the area ofthe shape

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20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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Mixed ProblemsMixed Problems

Example : Find the area of the shape

20cm

5 cm

Area = rectangle + semicircle

21

2A l b r

2120 5 10

2( )A

100 157 A 2257 cmA

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20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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Mixed ProblemsMixed Problems The Circle

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

Area = square - circle2 2 -A l r

28 8 4- ( )A

64 - 50.24A 213 76 cm.A

8cm

Page 33: Area of a rectangle

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Now try TJ Int 1 Chapter Ex Page

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Composite shapes