National 4 EF 1.2b Tuesday, 09 June 2015 Created by Mr.Lafferty Simple Areas Definition : Area is “ how much space a shape takes up” A few types of special Areas Rectangle TrapeziumRhombus and kiteParallelogram Any Type of Triangle RAT. Counting Squares Composite Area

9-Jun-15Created by Mr. Lafferty Maths Dept. Starter Questions Q1.Solve the equation below Q2.Find the missing angles Q3.Find the average of the numbers below Q4.Which is the better deal aoao bobo 2,5,6,7 or National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area Counting Squares Learning Intention Success Criteria 1.To understand the term area. 1. To explain area in terms of counting squares. 2.Find the area by counting squares. National 4 EF 1.2b

9-Jun-15 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 : 1cm 1cm 2 ( 1 square centimetre ) National 4 EF 1.2b

9-Jun-15Created by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch14 (page 163) Area Counting Squares National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Starter Questions Q3.Convert 23metres to (a) cm (b)mm Q2. Q1.What is the time difference 09:28 and 11:55 Q4.The answer to the question is 180. What is the question. National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area of a Rectangle Learning Intention Success Criteria 1.To be able to state area 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.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area of a Rectangle X = X = X = LAB L L L B B B L = length B = Breadth Must learn formula ! 1 cm Area = length x breadth A = L x B National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area of a Rectangle Example Find the area of the rectangle L = 9cm B = 2cm Area = Length x Breadth A = L x B A = 9 x 2 A = 18 cm 2 National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area of a Rectangle Example Find the length B of the rectangle opposite L = 12cm B cm Area = Length x Breadth A = L x B 36 = 12 x B Balancing Method A = 36cm 2 Remember units National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area of a Rectangle Now try Exercise 2 Ch14 (page 167) National 4 EF 1.2b

Tuesday, 09 June Created by Mr.Lafferty Starter Questions Q1.Calculate Q2.Are the missing angles 70 o,40 o,40 o Explain Q3.Is the HCF of 10 and Explain. Q4.Explain 2 ways of calculating 110 o National 4 EF 1.2b

National 4 EF 1.2b Tuesday, 09 June Created by Mr.Lafferty Learning Intention Success Criteria 1.To know the formula for the area of ANY triangle. 1. To develop a formula for the area of ANY triangle. 2.Use the formula to solve problems. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units Any Triangle Area

Tuesday, 09 June Created by Mr.Lafferty Any Triangle Area h b Sometimes called the altitude h = vertical height Demo

MTH 3-11b Tuesday, 09 June Created by Mr.Lafferty Any Triangle Area 6cm 8cm Example 1 : Find the area of the triangle.

Tuesday, 09 June Created by Mr.Lafferty Any Triangle Area 10cm 4cm Example 2 : Find the area of the triangle. Altitude h outside triangle this time. National 4 EF 1.2b

9-Jun-15 Created by Mr.Lafferty Maths Dept Now try Exercise 4 Ch14 (page 174) Area of ANY Triangle National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Starter Questions Q1.Why is Q4.Convert 45.1 metres to (a) cm (b)mm Q3. Q2.What is the time difference 07:54 and 13:36 Q5.The answer to the question is 90. What is the question. National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area of a Composite Learning Intention Success Criteria 1.To be able to use knowledge gained so far to find the area of more complicated shapes.. 1. To use knowledge to find area of more complicate shapes. 2.Show appropriate working. Made up of Simple shapes National 4 EF 1.2b

9-Jun-15Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 8cm 9cm 5cm 6cm A = l x b A = 9 x 8 A = 72cm 2 A = l x b A = 6 x 5 A = 30cm 2 Total Area = = 102cm Area of a Composite National 4 EF 1.2b

9-Jun-15 Calculate the area of this shape 10cm 12cm 8cm 6cm Area of a Composite National 4 EF 1.2b

9-Jun-15 Calculate the area of this shape 10cm 6cm 8cm 4cm A = l x b A = 8 x 10 A = 80cm 2 A = l x b A = 4 x 6 A =24cm 2 Total Area = = 104cm 2 Area of a Composite National 4 EF 1.2b

9-Jun-15Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 5c m 6cm 16cm 5cm A = l x b A = 16 x 5 A = 80cm 2 Rectangle 1 Rectangle 2 A = l x b A = 6 x 5 A = 30cm 2 A = 30cm 2 Total Area = =110cm 2 Area of a Composite National 4 EF 1.2b

9-Jun-15 Created by Mr. Lafferty Maths Dept. Area of a Composite Now try Exercise 5 Ch14 (page 176) National 4 EF 1.2b

Tuesday, 09 June Created by Mr.Lafferty Starter Questions Q1.40% of £90 Q2.Show that there are 2880 minutes in 2 days Q3.Expand 2( y - 3p) – 2y Q4.Calculate National 4 EF 1.2b

National 4 EF 1.2b Tuesday, 09 June Created by Mr.Lafferty Learning Intention Success Criteria 1.To know the formula for the area of a parallelogram. 1. To develop a formula for the area of a parallelogram. 2.Use the formula to solve problems. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units Parallelogram Area

Tuesday, 09 June Created by Mr.Lafferty Parallelogram Area b Important NOTE h = vertical height h National 4 EF 1.2b

Tuesday, 09 June Created by Mr.Lafferty Parallelogram Area Example 1 : Find the area of parallelogram. 9cm 3cm National 4 EF 1.2b

9-Jun-15 Created by Mr.Lafferty Maths Dept Now try Extension Booklet 2E(a) (page 71) Area of a Parallelogram National 4 EF 1.2b

Tuesday, 09 June Created by Mr.Lafferty Q3.Calculate Starter Questions Q1.Find the area of the triangle. Q2.Expand out 2w( w - 5) – 3w Q4.Find the LCM of the two numbers 4 and 6 4cm 3cm National 4 EF 1.2b

National 4 EF 1.2b Tuesday, 09 June Created by Mr.Lafferty Learning Intention Success Criteria 1.To know the formula for the area of ANY rhombus and kite. 1. To develop a single formula for the area of ANY rhombus and Kite. 2.Use the formula to solve problems. 2.Apply formulae correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units Rhombus and Kite Area

National 4 EF 1.2b Tuesday, 09 June Created by Mr.Lafferty Area of a Rhombus D d This part of the rhombus is half of the small rectangle.

Tuesday, 09 June Created by Mr.Lafferty Area of a Kite D d Exactly the same process as the rhombus National 4 EF 1.2b

Tuesday, 09 June Created by Mr.Lafferty Rhombus and Kite Area Example 1 : Find the area of the shapes. 5cm 2cm 9cm 4cm National 4 EF 1.2b

9-Jun-15 Created by Mr.Lafferty Maths Dept Now try Extension Booklet 2E(b) (page 75) Area of a Kite & Rhombus National 4 EF 1.2b

Tuesday, 09 June Created by Mr.Lafferty Starter Questions Q1.Find the area of the parallelogram Q2.Is the HCF 6 and Explain your answer. Q3.Show that 11.5 % of 150 is Q4.Simplify 3(h -2) + h(2 - 4h) = -4h 2 + 6h National 4 EF 1.2b

National 4 EF 1.2b Tuesday, 09 June Created by Mr.Lafferty Learning Intention Success Criteria 1.To know the formula for the area of a trapezium. 1. To develop a formula for the area of a trapezium. 2.Use the formula to solve problems. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units Trapezium Area

Tuesday, 09 June Created by Mr.Lafferty Trapezium Area W X Y Z 1 2 a cm b cm h cm Two triangles WXY and WYZ National 4 EF 1.2b

Tuesday, 09 June Created by Mr.Lafferty Trapezium Area Example 1 : Find the area of the trapezium. 6cm 4cm 5cm National 4 EF 1.2b

9-Jun-15 Created by Mr.Lafferty Maths Dept Now try Extension Booklet 6E (page 78) Area of a Trapezium National 4 EF 1.2b