Simple Areas Definition : Area is “ how much space a shape takes up” A few types of special Areas www.mathsrevision.com Revision of Square, Rectangle and Triangle Rhombus and kite Parallelogram Trapezium Tuesday, 13 November 2018 Created by Mr.Lafferty Composite shapes

Starter Questions Q1. Is the solution to the equation x = -3 Explain ao Q2. Are the missing angles ao = 45o and bo = 55o bo www.mathsrevision.com 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

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. www.mathsrevision.com Apply formulae correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty

Revision of Area The Square The Rectangle The RAT b h l l b www.mathsrevision.com 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

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 www.mathsrevision.com A = L x B A = 9 x 2 A = 18 cm2 Demo 13-Nov-18 Created by Mr. Lafferty Maths Dept.

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 www.mathsrevision.com Perimeter = 12 + 8 + 3 + 4 + 9 + 4 = 40 m 13-Nov-18 Created by Mr. Lafferty Maths Dept.

Triangle Area Example : Find the area of the triangle. 6cm www.mathsrevision.com 8cm Tuesday, 13 November 2018 Created by Mr.Lafferty

Created by Mr. Lafferty Maths Dept. Area Now try TJ3a Ex 1 Ch8 (page 67) www.mathsrevision.com 13-Nov-18 Created by Mr. Lafferty Maths Dept.

Starter Questions Q1. Calculate www.mathsrevision.com Q2. Are the missing angles 70o,40o,40o (Explain your answer) www.mathsrevision.com 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

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. www.mathsrevision.com Apply formulae correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty

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 www.mathsrevision.com Rectangle Area = D x d Tuesday, 13 November 2018 Created by Mr.Lafferty

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 www.mathsrevision.com Rectangle Area = D x d Tuesday, 13 November 2018 Created by Mr.Lafferty

Rhombus and Kite Area 2cm 4cm www.mathsrevision.com 5cm 9cm Example : Find the area of the shapes. 2cm 4cm 5cm 9cm www.mathsrevision.com Tuesday, 13 November 2018 Created by Mr.Lafferty

Rhombus and Kite Area Example : Find the area of the V – shape kite. 4cm www.mathsrevision.com 7cm Tuesday, 13 November 2018 Created by Mr.Lafferty

Created by Mr. Lafferty Maths Dept. Area Now try TJ3a Ex 2 Ch8 (page 69) www.mathsrevision.com 13-Nov-18 Created by Mr. Lafferty Maths Dept.

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 www.mathsrevision.com Q3. Expand 2p( y - 3p) – 2py Q4. Calculate Tuesday, 13 November 2018 Created by Mr.Lafferty

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. www.mathsrevision.com Apply formula correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty

Parallelogram Area Important NOTE h = vertical height h b www.mathsrevision.com Tuesday, 13 November 2018 Created by Mr.Lafferty

Parallelogram Area Example 1 : Find the area of parallelogram. 3cm www.mathsrevision.com 9cm Tuesday, 13 November 2018 Created by Mr.Lafferty

Created by Mr. Lafferty Maths Dept. Area Now try TJ3a Ex 3 Ch8 (page 72) www.mathsrevision.com 13-Nov-18 Created by Mr. Lafferty Maths Dept.

Starter Questions Q1. Find the area of the parallelogram 8 7 Q2. Is the HCF 6 and 24 24 Explain your answer. www.mathsrevision.com 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

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. www.mathsrevision.com Apply formula correctly. (showing working) Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty

Trapezium Area a cm Two triangles WXY and WYZ X Y 1 h cm 2 www.mathsrevision.com W Z b cm Tuesday, 13 November 2018 Created by Mr.Lafferty

Trapezium Area Example : Find the area of the trapezium. 5cm www.mathsrevision.com 6cm Tuesday, 13 November 2018 Created by Mr.Lafferty

Created by Mr. Lafferty Maths Dept. Area Now try TJ3a Ex 4 Ch8 (page 74) www.mathsrevision.com 13-Nov-18 Created by Mr. Lafferty Maths Dept.

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 www.mathsrevision.com 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

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. www.mathsrevision.com 2. To apply basic formulae to solve composite shapes. Answer containing appropriate units Tuesday, 13 November 2018 Created by Mr.Lafferty

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. www.mathsrevision.com 5cm 3cm 6cm 4cm Tuesday, 13 November 2018 Created by Mr.Lafferty

Composite Areas Example : Find the area of the shaded area. 8cm 11cm www.mathsrevision.com 4cm 10cm Tuesday, 13 November 2018 Created by Mr.Lafferty

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) www.mathsrevision.com Are you on Target ? I can ? 13-Nov-18 Created by Mr. Lafferty Maths Dept.