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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 1Created by Mr.Lafferty Simple Areas Definition : Area is “ how much space a shape takes up” A few types of special Areas Revision of Square, Rectangle and Triangle Trapezium Rhombus and kite Parallelogram Composite shapes www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 2Created by Mr.Lafferty Starter Questions Q1.Is the solution to the equation x = -3 Explain Q2.Are the missing angles a o = 45 o and b o = 55 o Q3.Explain why the mean is equal to 12 Q4.How many difference ways can you find aoao bobo 16, 9, 15,8 www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 3Created by Mr.Lafferty Learning Intention Success Criteria 1.To remember the area formula for the square, rectangle and Triangle. 1. To revise the basic areas including square, rectangles and RAT’s. 2.Apply formulae correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units Revision of Area www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 4Created by Mr.Lafferty Revision of Area l ll bh b The SquareThe RectangleThe RAT www.mathsrevision.com Area = l x lArea = l x bArea = ½b x h Perimeter = 4 x l Perimeter = 2l + 2b
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MNU 2-11c MTH 3-11a MTH 3-11b 25-Nov-15 Created by Mr. Lafferty Maths Dept. Area of a Rectangle www.mathsrevision.com Example Find the area of the rectangle opposite L = 9cm B = 2cm Area = Length x Breadth A = L x B A = 9 x 2 A = 18 cm 2 Demo
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MNU 2-11c MTH 3-11a MTH 3-11b 25-Nov-15 Created by Mr. Lafferty Maths Dept. Below is a drawing of a school building. Calculate the perimeter. Perimeter www.mathsrevision.com Problem 4 m 9 m 8 m x m 12 m 4 m x = 12 – 9 =3 m Perimeter = 12 + 8 + 3 + 4 + 9 + 4 = 40 m
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 7Created by Mr.Lafferty Triangle Area 6cm 8cm Example : Find the area of the triangle. www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b 25-Nov-15 Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 1 Ch8 (page 67) www.mathsrevision.com Area
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 9Created 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 36 180 Explain. Q4.Explain 2 ways of calculating 110 o www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 10Created by Mr.Lafferty Rhombus and Kite Area Learning Intention Success Criteria 1.To remember 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.Apply formulae correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 11Created by Mr.Lafferty Area of a Rhombus D d www.mathsrevision.com This part of the rhombus is half of the small rectangle.
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 12Created by Mr.Lafferty Area of a Kite D d Exactly the same process as the rhombus www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 13Created by Mr.Lafferty Rhombus and Kite Area Example : Find the area of the shapes. 5cm 2cm 9cm 4cm www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 14Created by Mr.Lafferty Rhombus and Kite Area Example : Find the area of the V – shape kite. 7cm 4cm www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b 25-Nov-15 Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 2 Ch8 (page 69) www.mathsrevision.com Area
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 16Created by Mr.Lafferty Starter Questions Q1.Is the area of the rhombus equal to 10.5cm 2 Explain your answer. Q2.Show that there are 2880 minutes in 2 days Q3.Expand 2p( y - 3p) – 2py Q4.Calculate 7cm 6cm www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 17Created by Mr.Lafferty Parallelogram Area Learning Intention Success Criteria 1.To remember the formula for the area of a parallelogram. 1. To develop a formula for the area of a parallelogram. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 18Created by Mr.Lafferty Parallelogram Area b Important NOTE h = vertical height www.mathsrevision.com h
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 19Created by Mr.Lafferty Parallelogram Area Example 1 : Find the area of parallelogram. 9cm 3cm www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b 25-Nov-15 Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 3 Ch8 (page 72) www.mathsrevision.com Area
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 21Created by Mr.Lafferty Starter Questions Q1.Find the area of the parallelogram Q2.Is the HCF 6 and 24 24 Explain your answer. Q3.Show that 11.5 % of 150 is 17.25 Q4.Simplify 3(h -2) + h(2 - 4h) = -4h 2 + 6h - 6 7 8 www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 22Created by Mr.Lafferty Trapezium Area Learning Intention Success Criteria 1.To remember the formula for the area of a trapezium. 1. To develop a formula for the area of a trapezium. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 23Created by Mr.Lafferty Trapezium Area W X Y Z 1 2 a cm b cm h cm Two triangles WXY and WYZ www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 24Created by Mr.Lafferty Trapezium Area Example : Find the area of the trapezium. 6cm 4cm 5cm www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b 25-Nov-15 Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 4 Ch8 (page 74) www.mathsrevision.com Area
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 26Created by Mr.Lafferty Starter Questions Q1.Find the area of the trapezium Q2.Is the HCF for 4 and 12 equal to 2. Explain your answer. Q3.Find 6.5% of 60 Q4.Is 3(f – 4) - 4f = 7f -12 Explain your answer 7 9 8 www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 27Created by Mr.Lafferty Composite Areas Learning Intention Success Criteria 1.To understand the term composite. 1. To show how we can apply basic area formulae to solve more complicated shapes. 2.To apply basic formulae to solve composite shapes. 3.Answer containing appropriate units appropriate units www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 28Created by Mr.Lafferty Composite Areas We can use our knowledge of the basic areas to work out more complicated shapes. 4cm 3cm 5cm 6cm Example 1 : Find the area of the arrow. www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b Wednesday, 25 November 2015 29Created by Mr.Lafferty Composite Areas Example : Find the area of the shaded area. 11cm 10cm 8cm 4cm www.mathsrevision.com
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MNU 2-11c MTH 3-11a MTH 3-11b 25-Nov-15 Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 5 Ch8 (page 75) www.mathsrevision.com Area Have you updated your Learning Log ? Are you on Target ? I can ?
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