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Simple Areas Definition : Area is “ how much space a shape takes up”
A few types of special Areas Revision of Square, Rectangle and Triangle Rhombus and kite Parallelogram Trapezium Tuesday, 13 November 2018 Created by Mr.Lafferty Composite shapes
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Starter Questions Q1. Is the solution to the equation x = -3 Explain
ao Q2. Are the missing angles ao = 45o and bo = 55o bo Q3. Explain why the mean is equal to 12 16, 9, 15,8 Q4. How many difference ways can you find Tuesday, 13 November 2018 Created by Mr.Lafferty
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Revision of Area www.mathsrevision.com Learning Intention
Success Criteria 1. To revise the basic areas including square, rectangles and RAT’s. To remember the area formula for the square, rectangle and Triangle. Apply formulae correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty
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Revision of Area The Square The Rectangle The RAT
b h l l b Area = l x l Area = l x b Area = ½b x h Perimeter = 4 x l Perimeter = 2l + 2b Tuesday, 13 November 2018 Created by Mr.Lafferty
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Created by Mr. Lafferty Maths Dept.
Area of a Rectangle Example Find the area of the rectangle opposite B = 2cm L = 9cm Area = Length x Breadth A = L x B A = 9 x 2 A = 18 cm2 Demo 13-Nov-18 Created by Mr. Lafferty Maths Dept.
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Perimeter Problem x = 12 – 9 =3 m Perimeter
Below is a drawing of a school building. Calculate the perimeter. 4 m 9 m 8 m x m 12 m x = 12 – 9 =3 m Perimeter = = 40 m 13-Nov-18 Created by Mr. Lafferty Maths Dept.
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Triangle Area Example : Find the area of the triangle.
6cm 8cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Created by Mr. Lafferty Maths Dept.
Area Now try TJ3a Ex 1 Ch8 (page 67) 13-Nov-18 Created by Mr. Lafferty Maths Dept.
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Starter Questions Q1. Calculate www.mathsrevision.com
Q2. Are the missing angles 70o,40o,40o (Explain your answer) Q3. Is 180 the HCF of 10 and 36 ? (Explain your answer) Q4. The solution to an equation is 5. What is the equation. Tuesday, 13 November 2018 Created by Mr.Lafferty
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Rhombus and Kite Area www.mathsrevision.com Learning Intention
Success Criteria 1. To develop a single formula for the area of ANY rhombus and Kite. To remember the formula for the area of ANY rhombus and kite. Apply formulae correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty
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Area of a Rhombus Rectangle Area = D x d d www.mathsrevision.com D
You have 2 minutes to come up with the formula for the area of any rhombus. Area of a Rhombus d D Rectangle Area = D x d Tuesday, 13 November 2018 Created by Mr.Lafferty
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Area of a Kite Rectangle Area = D x d d www.mathsrevision.com D
You have 2 minutes to come up with the formula for the area of any kite. Area of a Kite d D Rectangle Area = D x d Tuesday, 13 November 2018 Created by Mr.Lafferty
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Rhombus and Kite Area 2cm 4cm www.mathsrevision.com 5cm 9cm
Example : Find the area of the shapes. 2cm 4cm 5cm 9cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Rhombus and Kite Area Example : Find the area of the V – shape kite.
4cm 7cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Created by Mr. Lafferty Maths Dept.
Area Now try TJ3a Ex 2 Ch8 (page 69) 13-Nov-18 Created by Mr. Lafferty Maths Dept.
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Starter Questions Q1. Is the area of the rhombus equal to 10.5cm2
Explain your answer. 6cm 7cm Q2. Show that there are 2880 minutes in 2 days Q3. Expand 2p( y - 3p) – 2py Q4. Calculate Tuesday, 13 November 2018 Created by Mr.Lafferty
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Parallelogram Area www.mathsrevision.com Learning Intention
Success Criteria 1. To develop a formula for the area of a parallelogram. To remember the formula for the area of a parallelogram. Apply formula correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty
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Parallelogram Area Important NOTE h = vertical height h
b Tuesday, 13 November 2018 Created by Mr.Lafferty
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Parallelogram Area Example 1 : Find the area of parallelogram. 3cm
9cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Created by Mr. Lafferty Maths Dept.
Area Now try TJ3a Ex 3 Ch8 (page 72) 13-Nov-18 Created by Mr. Lafferty Maths Dept.
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Starter Questions Q1. Find the area of the parallelogram
8 7 Q2. Is the HCF 6 and Explain your answer. Q3. Show that 11.5 % of 150 is 17.25 Q4. Simplify 3(h -2) + h(2 - 4h) = -4h2 + 6h - 6 Tuesday, 13 November 2018 Created by Mr.Lafferty
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Trapezium Area www.mathsrevision.com Learning Intention
Success Criteria 1. To develop a formula for the area of a trapezium. To remember the formula for the area of a trapezium. Apply formula correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty
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Trapezium Area a cm Two triangles WXY and WYZ X Y 1 h cm
2 W Z b cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Trapezium Area Example : Find the area of the trapezium. 5cm
6cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Created by Mr. Lafferty Maths Dept.
Area Now try TJ3a Ex 4 Ch8 (page 74) 13-Nov-18 Created by Mr. Lafferty Maths Dept.
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Starter Questions Q1. Find the area of the trapezium
9 Q1. Find the area of the trapezium 8 Q2. Is the HCF for 4 and 12 equal to 2. Explain your answer. 7 Q3. Find 6.5% of 60 Q4. Is 3(f – 4) - 4f = 7f -12 Explain your answer Tuesday, 13 November 2018 Created by Mr.Lafferty
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Composite Areas www.mathsrevision.com Learning Intention
Success Criteria 1. To show how we can apply basic area formulae to solve more complicated shapes. To understand the term composite. 2. To apply basic formulae to solve composite shapes. Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty
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Composite Areas We can use our knowledge of the basic areas
to work out more complicated shapes. Example 1 : Find the area of the arrow. 5cm 3cm 6cm 4cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Composite Areas Example : Find the area of the shaded area.
8cm 11cm 4cm 10cm Tuesday, 13 November 2018 Created by Mr.Lafferty
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Area Now try TJ3a Ex 5 Ch8 (page 75) www.mathsrevision.com
Have you updated your Learning Log ? Area Now try TJ3a Ex 5 Ch8 (page 75) Are you on Target ? I can ? 13-Nov-18 Created by Mr. Lafferty Maths Dept.
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