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## Perimeter

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**S4**Perimeter Units of length Perimeters Area Counting squares www.mathsrevision.com Area Rectangle Area of Triangle Created by Mr. Lafferty Maths Dept.**Starter Questions**S4 Q1. Calculate Q2. Find two numbers that multiply add to give 18 and subtract to give 3. Q3. Calculate www.mathsrevision.com 28.4 – 5.9 Q4. Find Created by Mr. Lafferty Maths Dept.**Units of Length**S4 Learning Intention Success Criteria • To know the 4 units of length. • 1. To explain the 4 metric units of length and how to convert between them. 2. Be able to convert between them. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**This is of a centimetre and is**about the width of a sewing needle. Units of Length The 4 units of length are : S4 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 : 1000 The Kilometre : This is of a centimetre and is about the width of a sewing needle. Created by Mr. Lafferty Maths Dept.**S4**Units of Length Converting Measurements Kilometres (km) metres (m) www.mathsrevision.com centimetres (cm) millimetres (mm) Created by Mr. Lafferty Maths Dept.**S4**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 Created by Mr. Lafferty Maths Dept.**Units of Length Converting Measurements**S4 Now try Exercise 1.1 Ch3 (page 38) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**S4**Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**Perimeter**S4 Learning Intention Success Criteria • To know the term perimeter of a shape. • 1. To understand the term perimeter of a shape. 2. Calculate the perimeter of a shape. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**Perimeter**S4 What is perimeter ? www.mathsrevision.com Hint answer is on the screen ! Created by Mr. Lafferty Maths Dept.**S4**Perimeter www.mathsrevision.com Perimeter Created by Mr. Lafferty Maths Dept.**Perimeter**S4 www.mathsrevision.com Perimeter Created by Mr. Lafferty Maths Dept.**Perimeter**S4 Perimeter is the distance round the outside of a2D shape www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**Perimeter**S4 6cm Calculate the perimeter of the rectangle below. 3cm www.mathsrevision.com Perimeter = 6 + 3 + 6 + 3 18cm = Created by Mr. Lafferty Maths Dept.**Perimeter**S4 3cm 5cm www.mathsrevision.com 4cm Perimeter = 3 + 5 + 4 = 12cm Created by Mr. Lafferty Maths Dept.**Perimeter**S4 10cm Calculate the perimeter of the rectangle. 4cm www.mathsrevision.com Perimeter = 28cm Created by Mr. Lafferty Maths Dept.**Perimeter**S4 Calculate the perimeter of the triangle below. Perimeter = 20cm www.mathsrevision.com 5cm Created by Mr. Lafferty Maths Dept.**x m**4 m 9 m 8 m 4 m Perimeter 12 m Perimeter S4 Problem Below is a draw of the school building. Calculate the perimeter. x = 12 – 9 =3 m www.mathsrevision.com = 12 + 8 + 3 + 4 + 9 + 4 = 40 m Created by Mr. Lafferty Maths Dept.**Perimeter**S4 Now try Exercise 2 Ch3 (page 40) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**Starter Questions**S4 Q1. Solve the equation below ao Q2. Find the missing angles bo Q3. Find the average of the numbers below 2,5,6,7 Q4. Find Created by Mr. Lafferty Maths Dept.**S4**Area Counting Squares Learning Intention Success Criteria • To understand the term area. • 1. To explain area in terms of counting squares. • Find the area by counting squares. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**1cm**1cm S4 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 1cm2 ( 1 square centimetre ) Created by Mr. Lafferty Maths Dept.**Area Counting Squares**S4 Now try Exercise 3.1 Ch3 (page 42) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**S4**Starter Questions Q1. Calculate Q2. What is the time difference 09:28 and 11:55 Q3. www.mathsrevision.com Q4. Convert 23metres to (a) cm (b) mm Q5. The answer to the question is 180. What is the question. Created by Mr. Lafferty Maths Dept.**S4**Area of a Rectangle Learning Intention Success Criteria • To be able to state area formula for a rectangle. • 1. To come up with a formula • for the area of a • rectangle. • Apply formula correctly. • (showing working) www.mathsrevision.com • Use the formula to solve problems. • Answer containing • appropriate units Created by Mr. Lafferty Maths Dept.**1 cm**Area = length x breadth L B A A = L x B = X = X X = S4 Area of a Rectangle B B L L L = length www.mathsrevision.com L B B = Breadth 3 1 3 4 3 12 Must learn formula ! 3 2 6 Created by Mr. Lafferty Maths Dept.**S4**Area of a Rectangle Example Find the area of the rectangle opposite B = 2cm L = 9cm Area = Length x Breadth SC 1 A = L x B www.mathsrevision.com A = 9 x 2 SC 2 A = 18 cm2 SC 3 Success Criteria Created by Mr. Lafferty Maths Dept.**S4**Area of a Rectangle Example Find the length L of the rectangle opposite B = 3cm A = 36cm2 L Area = Length x Breadth Change side Change sign A = L x B www.mathsrevision.com 36 = 12 x B Remember units Created by Mr. Lafferty Maths Dept.**Area of a Rectangle**S4 Now try Ex 5.1 & 5.2 Ch3 (page 45) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**S4**Starter Questions Q1. Calculate Q2. What is the perimeter and area of the rectangle. 13cm Q3. 10cm www.mathsrevision.com Q4. Convert 57 metres to (a) cm (b) mm Q5. The answer to the question is 90. What is the question. Created by Mr. Lafferty Maths Dept.**S4**Area of A Right-Angled Triangle Learning Intention Success Criteria • Know area of a right-angled triangle formula • 1. Use the area of a rectangle formula to help us to come up with a formula to calculate the area of any right-angled triangle. 2. Use formula to work out area of triangle. www.mathsrevision.com 3. Show all working and units. Created by Mr. Lafferty Maths Dept.**Area of A Right-Angled Triangle**S4 Calculate the area of this shape A = l x b A = 10 x 8 8cm www.mathsrevision.com A = 80cm2 10cm Created by Mr. Lafferty Maths Dept.**Area of A Right-Angled Triangle**S4 Vertical Height www.mathsrevision.com base Created by Mr. Lafferty Maths Dept.**6cm**12cm Area of A Right-Angled Triangle S4 Calculate the area of this shape www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**4cm**3cm Area of A Right-Angled Triangle S4 Calculate the area of this shape www.mathsrevision.com Created by Mr. Lafferty Maths Dept.**Area of A Right-Angled Triangle**S4 Now try Ex 6 Ch3 (page 48) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.