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Entry Activity X 5 7 8 3 30 35 14 40 20 55 Fill in the blanks below this is problem solving so think carefully!

Lesson 5 mappings to graphs

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Page 1: Lesson 5 mappings to graphs

Entry Activity

X 5 7 8

3 30

35

14

40 20

55

Fill in the blanks below – this is problem solving so think carefully!

Page 2: Lesson 5 mappings to graphs

Entry Activity

X 5 7 10 8 4

3 15 21 30 32 12

7 35 49 70 56 28

2 10 14 20 16 8

5 25 35 50 40 20

11 55 77 110 88 44

Fill in the blanks below – this is problem solving so think carefully!

Page 3: Lesson 5 mappings to graphs

Today I will learn to construct a graph of a mapping Level 5

Challenge Objective: Identify characteristics of equations such as x

+ y = 10 and their graph Level 5+

Key Words

Output, Input, Term, Axes, Axis, Equation, Graph, Mapping, Describe

Page 4: Lesson 5 mappings to graphs

• All will draw a graph of a mapping

• Most will see that x = input and y = output

• Some will understand why x + y = 10 cuts the axes in a certain place

Page 5: Lesson 5 mappings to graphs
Page 6: Lesson 5 mappings to graphs

x = y

Page 7: Lesson 5 mappings to graphs

x = y

Page 8: Lesson 5 mappings to graphs

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Page 9: Lesson 5 mappings to graphs

Today I will learn to construct a graph of a mapping Level 5

Challenge Objective: Identify characteristics of equations such as x

+ y = 10 and their graph Level 5+

Key Words

Output, Input, Term, Axes, Axis, Equation, Graph, Mapping, Describe

Page 10: Lesson 5 mappings to graphs

• All will draw a graph of a mapping

• Most will see that x = input and y = output

• Some will understand why x + y = 10 cuts the axes in a certain place

Page 11: Lesson 5 mappings to graphs

Level 5

Page 12: Lesson 5 mappings to graphs

Answers Level 5

1 a ii (2, 4), (3, 5), (4, 6), (5, 7) iv y = x + 2

b ii (2, 4), (3, 6), (4, 8), (5, 10) iv y = 2x

c ii (4, 2), (6, 3), (8, 4), (10, 5) iv y =

d ii (3, 7), (4, 8), (5, 9), (6, 10) iv y = x + 4

Page 13: Lesson 5 mappings to graphs

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Page 14: Lesson 5 mappings to graphs

Today I will learn to construct a graph of a mapping Level 5

Challenge Objective: Identify characteristics of equations such as x

+ y = 10 and their graph Level 5+

Key Words

Output, Input, Term, Axes, Axis, Equation, Graph, Mapping, Describe

Page 15: Lesson 5 mappings to graphs

• All will draw a graph of a mapping

• Most will see that x = input and y = output

• Some will understand why x + y = 10 cuts the axes in a certain place

Page 16: Lesson 5 mappings to graphs

Level 5

Page 17: Lesson 5 mappings to graphs

Answers Level 5

2 (2, 2), (3, 3), (4, 4), (5, 5)

Page 18: Lesson 5 mappings to graphs

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Page 19: Lesson 5 mappings to graphs

Today I will learn to construct a graph of a mapping Level 5

Challenge Objective: Identify characteristics of equations such as x

+ y = 10 and their graph Level 5+

Key Words

Output, Input, Term, Axes, Axis, Equation, Graph, Mapping, Describe

Page 20: Lesson 5 mappings to graphs

• All will draw a graph of a mapping

• Most will see that x = input and y = output

• Some will understand why x + y = 10 cuts the axes in a certain place

Page 21: Lesson 5 mappings to graphs

Extension activity – Level 5+

What could the pairs of

co-ordinates be for the equation

x + y = 10

How can we plot them on the graph?

What do you notice about the line?

Page 22: Lesson 5 mappings to graphs

Extension Activity - Level 5+

Page 23: Lesson 5 mappings to graphs

Answers Extension – Level 5+

a for example: (0, 6), (1, 5), (2, 4), (3, 3), (4, 2), (5, 1),

(6, 0)

b for example: (0, 8), (1, 7), (2, 6), (3, 5), (4, 4), (5, 3),

(6, 2), (7, 1), (8, 0)

c for example: (0, 3), (1, 2), (2, 1), (1 , 1 ), (3, 0)

Graphs are all parallel and pass through the same value on the axes.

Page 24: Lesson 5 mappings to graphs

Using your planners show me how you found this

Page 25: Lesson 5 mappings to graphs

Today I will learn to construct a graph of a mapping Level 5

Challenge Objective: Identify characteristics of equations such as x

+ y = 10 and their graph Level 5+

Key Words

Output, Input, Term, Axes, Axis, Equation, Graph, Mapping, Describe

Page 26: Lesson 5 mappings to graphs

• All will draw a graph of a mapping

• Most will see that x = input and y = output

• Some will understand why x + y = 10 cuts the axes in a certain place

Page 27: Lesson 5 mappings to graphs
Page 28: Lesson 5 mappings to graphs

• To print off to give out to students.

• There are two different types of axes.

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