Lesson 1

• Mathematics
• Lower Secondary (Key Stage 3)

Lesson 1 - Perimeter of a Shape

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

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

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

Explain what we mean by the perimeter of a shape.

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

New Learning

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

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                      _ _ _ _ _ _ _  

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                      _ _ _ _ _ _ _  

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                      _ _ _ _ _ _ _  

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                      _ _ _ _ _ _ _  

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. 

New Learning

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

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

  

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

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

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

 

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

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

Starter

Simplify the following ratios. 

          

15 : 35

24 : 60

15 : 75

16 : 40

5 : 20 : 50

10 : 100 : 1000

3a : 9

24t : 60

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

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

Explain what we mean by the perimeter of a shape.

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.

1. A
2. B
3. C
4. D

1. 6 units
2. 6 squares
3. 7 units
4. 7 squares

1. 17 units
2. 18 units
3. 19 units
4. 20 units

1. 48 cm squared
2. 43 cm
3. 43 cm squared
4. 48 cm

1. 24 cm
2. 11 cm
3. 22 cm
4. 16 cm

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.