Lesson 1

Lesson 1 - Perimeter of a Shape
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MathematicsLower Secondary (Key Stage 3)

This lesson contains 49 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

Lesson 1 - Perimeter of a Shape

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Slide

Slide 4 - Slide

Slide 5 - Slide

Starter
Calculate the following expressions:

          
   3 + 4 x 5
   3 x 4 + 5
   3 x (4 + 5)
 3 x 4 + 4 x 5
   18 ÷ 2 + 6
   18 ÷ 6 - 2
   18 ÷ (3 + 6)
  18 ÷ 3  + 13

Slide 6 - Slide

Starter
Calculate the following expressions:

          
   3 + 4 x 5
   3 x 4 + 5
   3 x (4 + 5)
 3 x 4 + 4 x 5
          23
          17
          27
          32
   18 ÷ 2 + 6
   18 ÷ 6 - 2
  18 ÷ (3 + 6)
  18 ÷ 3  + 13

Slide 7 - Slide

Starter
Calculate the following expressions:

          
   3 + 4 x 5
    3 x 4 + 5
   3 x (4 + 5)
 3 x 4 + 4 x 5
          23
          17
          27
         32
   18 ÷ 2 + 6
   18 ÷ 6 - 2
  18 ÷ (3 + 6)
  18 ÷ 3  + 13
          15
            1
           2
          19

Slide 8 - Slide

Explain what we mean by the perimeter of a shape.

Slide 9 - Open question

Slide 10 - Slide

Slide 11 - Slide

The points are selected so that the line segment is approximately straight.

Slide 12 - Slide

Slide 13 - Slide

New Learning
With the person next to you, look at this shape and make a list of things that you can see.

Slide 14 - Slide

New Learning
With the person next to you, look at this shape and make a list of things that you can see.

   1.  We assume that the shape is made up of 4         
        _ _ _ _ _ _ _ _ _ _ _ _ _ _.
   2.  Each square has a side length of _ _ _ _ _ _ _ _ _ _.
   3.  On the end of each square, we assume it is an  
        _ _ _ _ _ _ _ _ _ _ _ _ triangle.
   4. The two equal sides each have a length of                      _ _ _ _ _ _ _  


Slide 15 - Slide

New Learning
With the person next to you, look at this shape and make a list of things that you can see.

   1.  We assume that the shape is made up of 4         
        SQUARES.
   2.  Each square has a side length of _ _ _ _ _ _ _ _ _ _.
   3.  On the end of each square, we assume it is an  
        _ _ _ _ _ _ _ _ _ _ _ _ triangle.
   4. The two equal sides each have a length of                      _ _ _ _ _ _ _  


Slide 16 - Slide

New Learning
With the person next to you, look at this shape and make a list of things that you can see.

   1.  We assume that the shape is made up of 4         
        SQUARES.
   2.  Each square has a side length of 3 m.
   3.  On the end of each square, we assume it is an  
        _ _ _ _ _ _ _ _ _ _ _ _ triangle.
   4. The two equal sides each have a length of                      _ _ _ _ _ _ _  


Slide 17 - Slide

New Learning
With the person next to you, look at this shape and make a list of things that you can see.

   1.  We assume that the shape is made up of 4         
        SQUARES.
   2.  Each square has a side length of 3 m.
   3.  On the end of each square, we assume it is an  
        ISOSCELES triangle.
   4. The two equal sides each have a length of                      _ _ _ _ _ _ _  


Slide 18 - Slide

New Learning
With the person next to you, look at this shape and make a list of things that you can see.

   1.  We assume that the shape is made up of 4         
        SQUARES.
   2.  Each square has a side length of 3 m.
   3.  On the end of each square, we assume it is an  
        ISOSCELES triangle.
   4. The two equal sides each have a length of                      2 m


Slide 19 - Slide

New Learning
Each square will have 2 sides as part of the perimeter.

Each triangle will have 2 sides as part of the perimeter.

  


Slide 20 - Slide

New Learning
Each square will have 2 sides as part of the perimeter.

Each triangle will have 2 sides as part of the perimeter.

Calculate the perimeter of the shape.

 The sum of 2 sides of a square = 3 + 3 = 6m


Slide 21 - Slide

New Learning
Each square will have 2 sides as part of the perimeter.

Each triangle will have 2 sides as part of the perimeter.

Calculate the perimeter of the shape.

 The sum of 2 sides of a square = 3 + 3 = 6m
 The perimeter part of 4 squares = 4 x 6 = 24m


Slide 22 - Slide

New Learning
Each square will have 2 sides as part of the perimeter.

Each triangle will have 2 sides as part of the perimeter.

Calculate the perimeter of the shape.

 The sum of 2 sides of a triangle = 2 + 2 = 4m
 

Slide 23 - Slide

New Learning
Each square will have 2 sides as part of the perimeter.

Each triangle will have 2 sides as part of the perimeter.

Calculate the perimeter of the shape.

 The sum of 2 sides of a triangle = 2 + 2 = 4m
 The perimeter part of 4 triangles = 4 x 4 = 16m


Slide 24 - Slide

New Learning
Each square will have 2 sides as part of the perimeter.

Each triangle will have 2 sides as part of the perimeter.

Calculate the perimeter of the shape.

 The total perimeter =  24 +  16 = 40m


Slide 25 - Slide

Starter
Simplify the following ratios. 

          
15 : 35
24 : 60
15 : 75
16 : 40
5 : 20 : 50
10 : 100 : 1000
3a : 9
24t : 60

Slide 26 - Slide

Starter
Simplify the following ratios. 

          
15 : 35
24 : 60
15 : 75
16 : 40
3 : 7
2 : 5
1 : 5
2 : 5
5 : 20 : 50
10 : 100 : 1000
3a : 9
24t : 60

Slide 27 - Slide

Starter
Simplify the following ratios. 

          
15 : 35
24 : 60
15 : 75
16 : 40
3 : 7
2 : 5
1 : 5
2 : 5
5 : 20 : 50
1 : 4 : 10
10 : 100 : 1000
3a : 9
a : 3
24t : 60
3t : 5
1 : 10 : 100

Slide 28 - Slide

Explain what we mean by the perimeter of a shape.

Slide 29 - Open question

Would you be able to explain what is meant by the perimeter of a shape?
Yes I would be able to explain what the perimeter is of ANY shape
I would be able to explain what is the perimeter of simple shapes such as rectangles
I do not understand what is the perimeter of a shape.

Slide 30 - Poll

Slide 31 - Slide


A
A
B
B
C
C
D
D

Slide 32 - Quiz

Slide 33 - Slide


A
6 units
B
6 squares
C
7 units
D
7 squares

Slide 34 - Quiz

Slide 35 - Slide


A
17 units
B
18 units
C
19 units
D
20 units

Slide 36 - Quiz

Slide 37 - Slide


A
48 cm squared
B
43 cm
C
43 cm squared
D
48 cm

Slide 38 - Quiz

Slide 39 - Slide


A
24 cm
B
11 cm
C
22 cm
D
16 cm

Slide 40 - Quiz

Slide 41 - Slide

Slide 42 - Slide

INDEPENDENT STUDY
TITLE - Unit 11 Week 1 - Lesson 1 - Perimeters
INSTRUCTIONS
  • Glue the question sheet into your book and then answer the questions. 
  • If there is not enough room to write your answers on the sheet, write them in your book.
  • Show all of your working out.

Slide 43 - Slide

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Slide 49 - Slide