N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Area of a Circle Perimeter & Area Perimeter Rectilinear & Circle Area Rectilinear Shapes Composite Area

N5 Num Starter Questions 16-Jan-16Created by Mr. Lafferty Maths Dept. Q1.Solve the equation below Q2.Find the missing angles Q3.Find the average of the numbers below Q4.Which is the better deal aoao bobo 2,5,6,7 or

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the term perimeter of a shape. 1. We are learning the term perimeter of a shape. 2. Calculate the perimeter of a shape. Perimeter

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter What is perimeter ? Hint answer is on the screen !

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter Perimeter

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter Perimeter

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter is the distance round the outside of a 2D shape Perimeter

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. 6cm Calculate the perimeter of the rectangle below. 3cm Perimeter = = 18cm Perimeter Demo

N5 Num 16-Jan-16 Created by Mr. Lafferty Maths Dept. Below is a drawing of a school building. Calculate the perimeter. Perimeter Problem 4 m 9 m 8 m x m 12 m 4 m x = 12 – 9 =3 m Perimeter = = 40 m

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. The desks below have been arranged in a certain way. Find the perimeter of each design. Perimeter 2cm

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Circumference 10cm 2cm Example : Find the length of the circumference (Perimeter) of each circle

N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty12 Example Find the perimeter for the semi-circle shape ? Solution 180 o Perimeter

N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty13 Example Find the perimeter of the shape below ? Solution 8cm 90 o Perimeter

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Example : Find the perimeter of this shape 20cm 5 cm Perimeter = 3 sides + semicircle Perimeter

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex1 Ch6 (page 54) Perimeter

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Q2.Convert 23metres to (a) cm (b)mm Q1.What is the time difference 09:28 and 11:55 Q3.The answer to the question is 180. What is the question.

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Area of a Rectangle Learning Intention Success Criteria 1.Remember area formula for a rectangle. 1. Develop a formula for the area of a rectangle. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units

N5 Num Saturday, 16 January Created by Mr.Lafferty Revision of Area l ll bh b The SquareThe RectangleThe RAT Area = l x lArea = l x bArea = ½b x h Perimeter = 4 x l Perimeter = 2l + 2b

MNU 2-11c MTH 3-11a MTH 3-11b Saturday, 16 January Created by Mr.Lafferty Area of a Rhombus D d This part of the rhombus is half of the small rectangle.

N5 Num Saturday, 16 January Created by Mr.Lafferty Area of a Kite D d Exactly the same process as the rhombus

N5 Num Saturday, 16 January Created by Mr.Lafferty Rhombus and Kite Area Example : Find the area of the shapes. 5cm 2cm 9cm 4cm

N5 Num Saturday, 16 January Created by Mr.Lafferty Rhombus and Kite Area Example : Find the area of the V – shape kite. 7cm 4cm

N5 Num Saturday, 16 January Created by Mr.Lafferty Parallelogram Area b Important NOTE h = vertical height h

N5 Num Saturday, 16 January Created by Mr.Lafferty Parallelogram Area Example 1 : Find the area of parallelogram. 9cm 3cm Online Demo

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Rectilinear Area Now try N5 Lifeskills Ex2 Ch6 (page 56)

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Know the formula for the area of a circle. 1We are learning how to calculate the area of a circle. 2. Be able show appropriate working. Area of a Circle Area of a Circle

What do we call the distance AB in terms of the large circle. Area of a Circle O A x O A x B What do we call the distance OA in terms of the large circle. circumference Peeling an orange

N5 Num What do we call the distance AB in terms of the large circle. Area of a Circle O A x O A x B What do we call the distance OA in terms of the large circle. circumference Peeling an orange

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. What is the formula for the area of a right-angle triangle. O A x B Use this formula to work out the area for a circle. Area of a Circle

N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty If we break the circle into equal sectors And lay them out side by side We get very close to a rectangle. Area of a Circle Demo

N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty thinner and thinner sectors If we cut the sectors Thinner and thinner then we get closer and closer to a rectangle. Hence we can represent the area of a circle by a rectangle. Area of a Circle

N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty33 But the area inside this rectangle is also the area of the circle Area of a Circle Area = πr 2

N5 Num Area of a circle 16-Jan-16Created by Mr. Lafferty Maths Dept. Q.Find the area of the circle ?Solution 4cm

N5 Num Area of a circle 16-Jan-16Created by Mr. Lafferty Maths Dept. Q. The diameter of the circle is 60cm. Find area of the circle?Solution

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex3 Ch6 (page 57) Area of a Circle Area of a Circle

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Q1.Why is Q4.Convert 45.1 metres to (a) cm (b)mm Q3. Q2.What is the time difference 07:54 and 13:36 Q5.The answer to the question is 90. What is the question.

N5 Num Area of a Composite 16-Jan-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Use knowledge gained so far to find the area of more complicated shapes.. 1. We are learning to find area for more complicated shapes. 2.Show appropriate working. Made up of Simple shapes

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 8cm 9cm 5cm 6cm A = l x b A = 9 x 8 A = 72cm 2 A = l x b A = 6 x 5 A = 30cm 2 Total Area = = 102cm Area of a Composite

N5 Num 16-Jan-16 Calculate the area of this shape 10cm 12cm 8cm 6cm Area of a Composite

N5 Num 16-Jan-16 Calculate the area of this shape 10cm 6cm 8cm 4cm A = l x b A = 8 x 10 A = 80cm 2 A = l x b A = 4 x 6 A =24cm 2 Total Area = = 104cm 2 Area of a Composite

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 5cm 6cm 16cm 5cm A = l x b A = 16 x 5 A = 80cm 2 Rectangle 1 Rectangle 2 A = l x b A = 6 x 5 A = 30cm 2 A = 30cm 2 Total Area = =110cm 2 Area of a Composite

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Example 1 : Find the area of the shape 20cm 5 cm Area = rectangle + semicircle Composite Area

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Example 2 : A circle is contained in a square. Find the grey shaded area below. Area = square - circle 8cm Composite Area

N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex4 Ch6 (page 59) Composite Area Have you updated your Learning Log ? Are you on Target ? I can ? Are you on Target ? I can ? Are you on Target ? I can ?