mnu 2-11b mnu2-11c mth 3-11b 2-aug-15created by mr. lafferty maths dept. units of length perimeters...

MNU 2-11b MNU2-11c MTH 3-11b

19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Units of length

Perimeters

PerimeterPerimeterw

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Area Counting squares

Area Rectangle

Composite Areas

Area of Triangle

Carpet Problem


Starter Starter QuestionsQuestions

2 16 28 xQ1. Solve the equation below

Q2. Find two numbers that multiply to give 18and subtract to give 3.

Q3. Explain why the average of the numbers below is 7

Q4. True or false

2,8,8,10

60% of £ 240 = £ 144


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19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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1.1. Remember the 4 units Remember the 4 units of length.of length.

1 We are learning the 4 metric units of length.

2. Be able to convert between them.

Units of LengthUnits of Length



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Units of LengthUnits of LengthThe 4 units of length are :

The metre : This is the standard unit of length and is approximately the distance from your noseto the end of your outstretched arm.

This is of a metre and is about the width of your pinky nail.

1100

100th

The centimetre :

This is of a centimetre and is aboutthe width of a sewing needle.

110The Millimetre :

This is metres and is about the length of 10 football pitches.

1000The Kilometre :

1000



Units of Length Units of Length Converting Converting

MeasurementsMeasurementsw

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(km)

metres(m)

centimetres(cm)

millimetres(mm)

×10

×100

×1000

1000

100

10




MeasurementsMeasurementsw

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Convert 2m to cm : 2 x 100 = 200 cm

Convert 4km to m : 4 x 1000 = 4000 m

Convert 34cm to mm :34 x 10 = 340 mm

Convert 50cm to m : 50 ÷ 100 = 0.5 m


Now try Exercise 1 Ch10 (page 118)

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MeasurementsMeasurementsMNU 2-11b MNU2-11c MTH 3-11b




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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. 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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What is perimeter ?

Hint answer is on the screen !




PerimeterPerimeter

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Perimeter

PerimeterPerimeterw

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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


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

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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




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PerimeterPerimeterMNU 2-11b MNU2-11c MTH 3-11b



21 32x

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

75% of £ 240

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50% of £ 362or




Area Counting Area Counting SquaresSquares

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1.1. To understand the term To understand the term area.area.

1 We are learning the term area.

2.2. Find the area by Find the area by counting squares.counting squares.




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The area of a shape is simply defined by :

“the amount of space a shape takes up.”

Think of a square measuring 1 cm by 1cm we say it is :

1cm

1cm

1cm2

( 1 square centimetre )



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Starter QuestionsStarter Questionsw

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Q3. Convert 23metres to (a) cm (b) mm

Q2.

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

Explain why the solution to the 3 21 9

equation is x = 10

x

Q4. The answer to the question is 180. What is the question.



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


19 Apr 202319 Apr 2023

Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.


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3 1

3

4 3

2

3

6

12

X =

X =X =

L AB

L

L

LB

B

B

L = length

B = Breadth

Must learn formula !

1 cm

Area = length x breadthA = L x B




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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




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Example

Find the breadth B of the rectangle opposite

L = 12cm

B cm

Area = Length x Breadth

A = L x B

36 = 12 x B

Balancing Method

A = 36cm2

36B =

12

B = 3cmRemember

units



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Area of a RectangleArea of a Rectangle



C of E TaskC of E TaskMeasure the length of one desk and round answer to

the nearest ten.

Now find the area of your composite shape.

How many different ways can you find the area.


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have been arranged in a certain way

Now find the perimeter of your

shape.

Using an appropriate scale make a scale

drawing of your shape.




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133 % of £ 270 = 90

3Q1. Why is

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.



Area of a Area of a CompositeComposite

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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


Calculate the area of this shape

8cm

9cm

5cm

6cm

A = l x b

A = 9 x 8

A = 72cm2

A = l x b

A = 6 x 5

A = 30cm2

Total Area =

= 102cm2

72 + 30


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19 Apr 202319 Apr 2023


10cm

12cm

8cm

6cm


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19 Apr 202319 Apr 2023


10cm

6cm

8cm 4cm

A = l x b

A = 8 x 10

A = 80cm2

A = l x b

A = 4 x 6

A =24cm2

Total Area =

80 + 24

= 104cm2


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5cm

6cm

16cm

5cm

A = l x bA = l x b

A = 16 x 5A = 16 x 5

A = 80cmA = 80cm22

Rectangle 1Rectangle 1

Rectangle 2Rectangle 2

A = l x bA = l x b

A = 6 x 5A = 6 x 5

A = 30cmA = 30cm22

Total Total AreaArea = 80 + 30

=110cm2


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ww

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Q4. Convert 57 metres to (a) cm (b) mm

Q3.

Q2. True or false the perimeter of the shape is 130cm and the area is 46cm.

Solve 6 64 8 x

13cm

10cm



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1.1. Remember the area Remember the area formula for a right-angled formula for a right-angled triangle.triangle.

1. Develop the formula for the area of any area of any right-angled triangle.right-angled 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.

Area of A Right-Angled Triangle



8cm

A = l x b

A = 10 x 8A = 80cm2

10cm

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Area of A Right-Angled TriangleMNU 2-11b

MNU2-11c MTH 3-11b


VerticalHeight

base

1Area= base × height

2

1A= b×h

2

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MNU2-11c MTH 3-11b

Demo



12cm

6cm

1A= b h

2

1A= 6 12

2

2A=36cm

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MNU2-11c MTH 3-11b



3cm

4cm

1A= b h

2

1A= 4 3

2

2A=6cm

Area of A Right-Angled Triangle

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MNU2-11c MTH 3-11b

Scale DrawingScale 1cm to 0.5m Length 6m = 12 cm on the scale drawing

Length 4.5m = 9cm on the scale drawing

4.5m

6m

4m

1.5m2m

3m

Perimeter = 6 + 3 + 2 + 1.5 + 4 + 4.5 = 21m

Number of 1 metre grips = 21

No of packs = 21 ÷ 5 = 4.2 packs

So we need 5 packs

Cost = 5 x £ 4.50 = £22.50(9cm)

(8cm)

(12cm)

(6cm)

(4cm)

(3cm)

For carpet grip we need to calculate PERIMETER

Fitting carpet means we need to calculate AREA

4m

4.5m

6m

1.5m2m

3m

Area = L x B= 4 x 4.5= 18m2

6m2

Minimum Area required = 18 + 6 = 24m2

Remember thecarpet only

comes 4m wide !

What’s the best way to fit

it ?

4m

4.5m

6m

1.5m2m

3m

Minimum AREA required = 18 + 6 = 24m2

Cost£12 x 26 = £ 3122m

Area4 x 6.5 = 26m2

With a bit left over !

One possible solution

Total cost £22.50 + £312 =£334.50

4m

4.5m

6m

3m

Minimum AREA required = 18 + 6 = 24m2

Cost£12 x 24 = £ 288

Area4 x 6

= 24m2

Nothing left over !

Best possible solution

1.5m2m

Total cost £22.50 + £288 =£310.50

mnu 2-11b mnu2-11c mth 3-11b 2-aug-15created by mr. lafferty maths dept. units of length perimeters...

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