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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.

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Presentation on theme: "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."— Presentation transcript:

1 MTH 3-11b Tuesday, 19 August Created 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.

2 MTH 3-11b Tuesday, 19 August Created 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

3 MTH 3-11b Tuesday, 19 August Created 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

4 MTH 3-11b Tuesday, 19 August Created 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

5 MTH 3-11b Tuesday, 19 August Created by Mr.Lafferty Revision of Area l l Exercise 1 Teejay Page 101 l bh b The SquareThe RectangleThe RAT

6 MTH 3-11b Tuesday, 19 August Created 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

7 MTH 3-11b Tuesday, 19 August 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

8 MTH 3-11b Tuesday, 19 August Created 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

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

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

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

12 MTH 3-11b Tuesday, 19 August 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

13 MTH 3-11b Tuesday, 19 August Created 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

14 MTH 3-11b Tuesday, 19 August Created by Mr.Lafferty Area of a Rhombus D d This part of the rhombus is half of the small rectangle.

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

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

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

18 MTH 3-11b Tuesday, 19 August Created 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

19 MTH 3-11b Tuesday, 19 August Created 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

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

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

22 MTH 3-11b Tuesday, 19 August 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

23 MTH 3-11b Tuesday, 19 August Created 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

24 MTH 3-11b Tuesday, 19 August Created by Mr.Lafferty Trapezium Area W X Y Z 1 2 a cm b cm h cm Two triangles WXY and WYZ

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

26 MTH 3-11b Tuesday, 19 August Created 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

27 MTH 3-11b Tuesday, 19 August Created 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

28 MTH 3-11b Tuesday, 19 August Created 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.

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


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