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MTH 3-11b Tuesday, 19 August 2014 1Created by Mr.Lafferty Level 3 Areas of Simple Shapes This presentation will cover the formulae for the areas of various simple shapes. It is aimed at students studying at level 3. Where appropriate, follow up exercises are indicated for consolidation purposes. www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 2Created 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 RAT. Trapezium Rhombus and kite Parallelogram Any Type of Triangle Composite shapes www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 3Created 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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MTH 3-11b Tuesday, 19 August 2014 4Created by Mr.Lafferty Learning Intention Success Criteria 1.To remember the area formula for the square, rectangle and RAT’s. 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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MTH 3-11b Tuesday, 19 August 2014 5Created by Mr.Lafferty Revision of Area l l Exercise 1 Teejay Page 101 l bh b The SquareThe RectangleThe RAT www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 6Created by Mr.Lafferty Basic Simple Areas Definition : Area is “ how much space a shape takes up” A few types of special Areas Revision of Square, Rectangle and RAT. Trapezium Rhombus and kite Parallelogram Any Type of Triangle www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 7Created 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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MTH 3-11b Tuesday, 19 August 2014 8Created by Mr.Lafferty Any Triangle Area Learning Intention Success Criteria 1.To remember the formula for the area of ANY triangle. 1. To develop a formula for the area of ANY triangle. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 9Created by Mr.Lafferty Any Triangle Area h b Sometimes called the altitude h = vertical height www.mathsrevision.com Demo

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MTH 3-11b Tuesday, 19 August 2014 10Created by Mr.Lafferty Any Triangle Area 6cm 8cm Example 1 : Find the area of the triangle. www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 11Created by Mr.Lafferty Any Triangle Area Exercise 2 Teejay Page 104 10cm 4cm Example 2 : Find the area of the triangle. Altitude h outside triangle this time. www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 12Created 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 www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 13Created 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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MTH 3-11b Tuesday, 19 August 2014 14Created 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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MTH 3-11b Tuesday, 19 August 2014 15Created by Mr.Lafferty Area of a Kite D d Exactly the same process as the rhombus www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 16Created by Mr.Lafferty Rhombus and Kite Area Example 1 : Find the area of the shapes. 5cm 2cm 9cm 4cm www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 17Created by Mr.Lafferty Rhombus and Kite Area Exercise 3 Teejay Page 107 Example 2 : Find the area of the V – shape kite. 7cm 4cm www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 18Created 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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MTH 3-11b Tuesday, 19 August 2014 19Created 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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MTH 3-11b Tuesday, 19 August 2014 20Created by Mr.Lafferty Parallelogram Area b Important NOTE h = vertical height www.mathsrevision.com h

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MTH 3-11b Tuesday, 19 August 2014 21Created by Mr.Lafferty Parallelogram Area Exercise 4 Teejay Page 110 Example 1 : Find the area of parallelogram. 9cm 3cm www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 22Created 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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MTH 3-11b Tuesday, 19 August 2014 23Created 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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MTH 3-11b Tuesday, 19 August 2014 24Created 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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MTH 3-11b Tuesday, 19 August 2014 25Created by Mr.Lafferty Trapezium Area Exercise 5 Teejay Page 112 Example 1 : Find the area of the trapezium. 6cm 4cm 5cm www.mathsrevision.com

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MTH 3-11b Tuesday, 19 August 2014 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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MTH 3-11b Tuesday, 19 August 2014 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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MTH 3-11b Tuesday, 19 August 2014 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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MTH 3-11b Tuesday, 19 August 2014 29Created by Mr.Lafferty Composite Areas Exercise 6 Teejay Page 114 Example 2 : Find the area of the shaded area. 11cm 10cm 8cm 4cm www.mathsrevision.com

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