Created by Mr. Lafferty Maths Dept. Perimeter Units of length Perimeters Area Counting squares Area Rectangle www.mathsrevision.com Composite Areas Area of Triangle Carpet Problem 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-11b MNU2-11c MTH 3-11b Q1. Solve the equation below Q2. Find two numbers that multiply to give 18 and subtract to give 3. www.mathsrevision.com Q3. Explain why the average of the numbers below is 7 2,8,8,10 Q4. True or false 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Units of Length Learning Intention Success Criteria 1 We are learning the 4 metric units of length. Remember the 4 units of length. www.mathsrevision.com 2. Be able to convert between them. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Units of Length The 4 units of length are : The metre : This is the standard unit of length and is approximately the distance from your nose to the end of your outstretched arm. 100th The centimetre : This is of a metre and is about the width of your pinky nail. www.mathsrevision.com The Millimetre : This is of a centimetre and is about the width of a sewing needle. 1000 The Kilometre : This is metres and is about the length of 10 football pitches. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Units of Length Converting Measurements Kilometres (km) metres (m) www.mathsrevision.com centimetres (cm) millimetres (mm) 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Units of Length Converting Measurements Examples Convert 2m to cm : 2 x 100 = 200 cm Convert 4km to m : 4 x 1000 = 4000 m www.mathsrevision.com Convert 34cm to mm : 34 x 10 = 340 mm Convert 50cm to m : 50 ÷ 100 = 0.5 m 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Units of Length Converting Measurements MNU 2-11b MNU2-11c MTH 3-11b Now try Exercise 1 Ch10 (page 118) www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Perimeter Learning Intention Success Criteria 1. We are learning the term perimeter of a shape. Understand the term perimeter of a shape. www.mathsrevision.com 2. Calculate the perimeter of a shape. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Perimeter MNU 2-11b MNU2-11c MTH 3-11b What is perimeter ? www.mathsrevision.com Hint answer is on the screen ! 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Perimeter www.mathsrevision.com Perimeter 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Perimeter MNU 2-11b MNU2-11c MTH 3-11b www.mathsrevision.com Perimeter 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Perimeter Perimeter is the distance round the outside of a 2D shape MNU 2-11b MNU2-11c MTH 3-11b Perimeter is the distance round the outside of a 2D shape www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Perimeter MNU 2-11b MNU2-11c MTH 3-11b 6cm Calculate the perimeter of the rectangle below. 3cm Demo www.mathsrevision.com Perimeter = 6 + 3 + 6 + 3 18cm = 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Perimeter MNU 2-11b MNU2-11c MTH 3-11b Problem Below is a drawing of the school building. Calculate the perimeter. 4 m 9 m 8 m x m 12 m x = 12 – 9 =3 m www.mathsrevision.com Perimeter = 12 + 8 + 3 + 4 + 9 + 4 = 40 m 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Perimeter Now try Exercise 2 Ch10 (page 121) www.mathsrevision.com MNU 2-11b MNU2-11c MTH 3-11b Now try Exercise 2 Ch10 (page 121) www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-11b MNU2-11c MTH 3-11b Q1. Solve the equation below ao Q2. Find the missing angles bo www.mathsrevision.com Q3. Find the average of the numbers below 2,5,6,7 Q4. Which is the better deal or 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area Counting Squares Learning Intention Success Criteria 1 We are learning the term area. To understand the term area. www.mathsrevision.com Find the area by counting squares. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area Counting Squares 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 : www.mathsrevision.com 1cm 1cm2 ( 1 square centimetre ) 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Now try Exercise 3 Ch10 (page 123) Area Counting Squares MNU 2-11b MNU2-11c MTH 3-11b Now try Exercise 3 Ch10 (page 123) www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Starter Questions Q1. What is the time difference 09:28 and 11:55 Q2. www.mathsrevision.com Q3. Convert 23metres to (a) cm (b) mm Q4. The answer to the question is 180. What is the question. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area of a Rectangle Learning Intention Success Criteria 1. Develop a formula for the area of a rectangle. Remember area formula for a rectangle. www.mathsrevision.com Apply formula correctly. (showing working) Answer containing appropriate units 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area of a Rectangle 1 cm B B L L L = length www.mathsrevision.com B = Breadth L B Area = length x breadth A = L x B L A B 3 X = 1 3 4 X = 3 12 Must learn formula ! 3 X = 2 6 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area of a Rectangle Example Find the area of the rectangle opposite B = 2cm L = 9cm Area = Length x Breadth www.mathsrevision.com A = L x B A = 9 x 2 A = 18 cm2 Demo 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area of a Rectangle Example Find the breadth B of the rectangle opposite B cm A = 36cm2 L = 12cm Area = Length x Breadth Balancing Method A = L x B www.mathsrevision.com 36 = 12 x B Remember units 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Now try Exercise 4 Ch10 (page 125) Area of a Rectangle Now try Exercise 4 Ch10 (page 125) www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
C of E Task The desks in your group Now find the area of your composite shape. How many different ways can you find the area. Measure the length of one desk and round answer to the nearest ten. Now find the perimeter of your shape. Using an appropriate scale make a scale drawing of your shape. C of E Task The desks in your group have been arranged in a certain way www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Why is Q2. What is the time difference 07:54 and 13:36 Q3. www.mathsrevision.com Q4. Convert 45.1 metres to (a) cm (b) mm Q5. The answer to the question is 90. What is the question. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area of a Composite Made up of Simple shapes Learning Intention Success Criteria 1. We are learning to find area for more complicated shapes. Use knowledge gained so far to find the area of more complicated shapes.. www.mathsrevision.com Show appropriate working. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Area of a Composite MNU 2-11b MNU2-11c MTH 3-11b Calculate the area of this shape Total Area = 72 + 30 9cm 8cm = 102cm2 A = l x b 6cm A = 9 x 8 www.mathsrevision.com 5cm A = l x b A = 72cm2 A = 6 x 5 A = 30cm2 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Area of a Composite www.mathsrevision.com MNU 2-11b MNU2-11c MTH 3-11b Calculate the area of this shape 8cm 10cm www.mathsrevision.com 6cm 12cm 19-Apr-17
Area of a Composite www.mathsrevision.com MNU 2-11b MNU2-11c MTH 3-11b Calculate the area of this shape Total Area = 80 + 24 10cm = 104cm2 A = l x b www.mathsrevision.com 6cm A = 8 x 10 A = l x b A = 80cm2 A = 4 x 6 A =24cm2 4cm 8cm 19-Apr-17
Created by Mr. Lafferty Maths Dept. Area of a Composite MNU 2-11b MNU2-11c MTH 3-11b Calculate the area of this shape Rectangle 1 16cm A = l x b 5cm A = 16 x 5 A = 80cm2 5cm www.mathsrevision.com Rectangle 2 A = l x b Total Area A = 6 x 5 6cm = 80 + 30 =110cm2 A = 30cm2 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Now try Exercise 4 Ch10 (page 128) Area of a Composite MNU 2-11b MNU2-11c MTH 3-11b Now try Exercise 4 Ch10 (page 128) www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Calculate Q2. True or false the perimeter of the shape is 130cm and the area is 46cm. 13cm www.mathsrevision.com Q3. 10cm Q4. Convert 57 metres to (a) cm (b) mm 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Area of A Right-Angled Triangle Learning Intention Success Criteria Develop the formula for the area of any right-angled triangle. Remember the area formula for a right-angled triangle. 2. Use formula to work out area of triangle. www.mathsrevision.com 3. Show all working and units. 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Area of A Right-Angled Triangle MNU 2-11b MNU2-11c MTH 3-11b Calculate the area of this shape A = l x b A = 10 x 8 8cm www.mathsrevision.com A = 80cm2 10cm 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Area of A Right-Angled Triangle MNU 2-11b MNU2-11c MTH 3-11b Vertical Height www.mathsrevision.com Demo base 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Area of A Right-Angled Triangle MNU 2-11b MNU2-11c MTH 3-11b Calculate the area of this shape 12cm www.mathsrevision.com 6cm 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Area of A Right-Angled Triangle MNU 2-11b MNU2-11c MTH 3-11b Calculate the area of this shape 3cm 4cm www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Area of A Right-Angled Triangle MNU 2-11b MNU2-11c MTH 3-11b Now try Exercise 6 Ch10 (page 129) www.mathsrevision.com 19-Apr-17 Created by Mr. Lafferty Maths Dept.
Length 4.5m = 9cm on the scale drawing Scale 1cm to 0.5m For carpet grip we need to calculate PERIMETER 4m Perimeter = 6 + 3 + 2 + 1.5 + 4 + 4.5 = 21m (8cm) Number of 1 metre grips = 21 (3cm) 1.5m No of packs = 21 ÷ 5 = 4.2 packs 2m So we need 5 packs (4cm) 4.5m (9cm) Cost = 5 x £ 4.50 = £22.50 (6cm) 3m (12cm) 6m
Fitting carpet means we need to calculate AREA Minimum Area required = 18 + 6 = 24m2 Remember the carpet only comes 4m wide ! 4m 4.5m 6m 1.5m 2m 3m Area = L x B = 4 x 4.5 = 18m2 6m2 What’s the best way to fit it ?
Minimum AREA required = 18 + 6 = 24m2 One possible solution 4m 4.5m 6m 1.5m 2m 3m Area 4 x 6.5 = 26m2 Cost £12 x 26 = £ 312 2m Total cost £22.50 + £312 = £334.50 With a bit left over !
Minimum AREA required = 18 + 6 = 24m2 Best possible solution 4m Area 4 x 6 = 24m2 1.5m 2m 4.5m 3m Cost £12 x 24 = £ 288 6m Total cost £22.50 + £288 = £310.50 Nothing left over !