mnu 2-11b mnu2-11c mth 3-11b 2-aug-15created by mr. lafferty maths dept. units of length perimeters...
TRANSCRIPT
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
ww
.math
srevis
ion
.com
Area Counting squares
Area Rectangle
Composite Areas
Area of Triangle
Carpet Problem
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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
MNU 2-11b MNU2-11c MTH 3-11b
ww
w.m
ath
srevis
ion
.com
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.ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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
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.ww
w.m
ath
srevis
ion
.com
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
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 Units of Length Converting Converting
MeasurementsMeasurementsw
ww
.math
srevis
ion
.com Kilometres
(km)
metres(m)
centimetres(cm)
millimetres(mm)
×10
×100
×1000
1000
100
10
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 Units of Length Converting Converting
MeasurementsMeasurementsw
ww
.math
srevis
ion
.com Examples
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
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 1 Ch10 (page 118)
ww
w.m
ath
srevis
ion
.com
Units of Length Units of Length Converting Converting
MeasurementsMeasurementsMNU 2-11b MNU2-11c MTH 3-11b
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.
Starter Starter QuestionsQuestions
ww
w.m
ath
srevis
ion
.com
(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
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.ww
w.m
ath
srevis
ion
.com 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
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
PerimeterPerimeterw
ww
.math
srevis
ion
.com
What is perimeter ?
Hint answer is on the screen !
MNU 2-11b MNU2-11c MTH 3-11b
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.
PerimeterPerimeter
PerimeterPerimeterw
ww
.math
srevis
ion
.com
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Perimeter
PerimeterPerimeterw
ww
.math
srevis
ion
.com
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.
PerimeterPerimeteris the distance round the is the distance round the
outside of aoutside of a 2D shape2D shape
PerimeterPerimeterw
ww
.math
srevis
ion
.com
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.
6cm Calculate the Calculate the perimeter of the perimeter of the rectangle below.rectangle below.
3cm
Perimeter = 6 +3 +6 +
3 =18cm
PerimeterPerimeterw
ww
.math
srevis
ion
.com
MNU 2-11b MNU2-11c MTH 3-11b
Demo
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Below is a drawing of the Below is a drawing of the school building. Calculate the school building. Calculate the perimeter.perimeter.
PerimeterPerimeterw
ww
.math
srevis
ion
.com
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
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.
Now try Exercise 2 Ch10 (page 121)
ww
w.m
ath
srevis
ion
.com
PerimeterPerimeterMNU 2-11b MNU2-11c MTH 3-11b
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
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
ww
w.m
ath
srevis
ion
.com
50% of £ 362or
MNU 2-11b MNU2-11c MTH 3-11b
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.
Area Counting Area Counting SquaresSquares
ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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.
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.
Area Counting Area Counting SquaresSquares
ww
w.m
ath
srevis
ion
.com
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 )
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 3 Ch10 (page 123)
ww
w.m
ath
srevis
ion
.com
Area Counting Area Counting SquaresSquares
MNU 2-11b MNU2-11c MTH 3-11b
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.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
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.
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.
Area of a Area of a RectangleRectangle
ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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
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.
Area of a Area of a RectangleRectangle
ww
w.m
ath
srevis
ion
.com
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
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.
Area of a Area of a RectangleRectangle
ww
w.m
ath
srevis
ion
.com
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
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.
Area of a Area of a RectangleRectangle
ww
w.m
ath
srevis
ion
.com
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
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.ww
w.m
ath
srevis
ion
.com
Area of a RectangleArea of a Rectangle
Now try Exercise 4 Ch10 (page 125)
MNU 2-11b MNU2-11c MTH 3-11b
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.
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com The desks in your group
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.
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.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
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.
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.
Area of a Area of a CompositeComposite
ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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
Area of a Area of a CompositeComposite
ww
w.m
ath
srevis
ion
.com
MNU 2-11b MNU2-11c MTH 3-11b
19 Apr 202319 Apr 2023
Calculate the area of this shape
10cm
12cm
8cm
6cm
Area of a Area of a CompositeComposite
ww
w.m
ath
srevis
ion
.com
MNU 2-11b MNU2-11c MTH 3-11b
19 Apr 202319 Apr 2023
Calculate the area of this shape
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
Area of a Area of a CompositeComposite
ww
w.m
ath
srevis
ion
.com
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.
Calculate the area of this shape
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
Area of a Area of a CompositeComposite
ww
w.m
ath
srevis
ion
.com
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.
Area of a Area of a CompositeComposite
ww
w.m
ath
srevis
ion
.com
Now try Exercise 4 Ch10 (page 128)
MNU 2-11b MNU2-11c MTH 3-11b
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.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com 5% of £ 220Q1. Calculate
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
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.ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Calculate the area of this shape
8cm
A = l x b
A = 10 x 8A = 80cm2
10cm
ww
w.m
ath
srevis
ion
.com
Area of A Right-Angled TriangleMNU 2-11b
MNU2-11c MTH 3-11b
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
VerticalHeight
base
1Area= base × height
2
1A= b×h
2
ww
w.m
ath
srevis
ion
.com
Area of A Right-Angled TriangleMNU 2-11b
MNU2-11c MTH 3-11b
Demo
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Calculate the area of this shape
12cm
6cm
1A= b h
2
1A= 6 12
2
2A=36cm
ww
w.m
ath
srevis
ion
.com
Area of A Right-Angled TriangleMNU 2-11b
MNU2-11c MTH 3-11b
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Calculate the area of this shape
3cm
4cm
1A= b h
2
1A= 4 3
2
2A=6cm
Area of A Right-Angled Triangle
ww
w.m
ath
srevis
ion
.com
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.
Now try Exercise 6 Ch10 (page 129)
ww
w.m
ath
srevis
ion
.com
Area of A Right-Angled TriangleMNU 2-11b
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