1. Entry Activity
• Label the
equations
of the
lines

2. Entry Activity
• Label the
equations
of the
lines x= 2
x = -4
y=3
y = -1
y = -5

3. Today I will learn to recognise the
relationships between linear graphs.
• draw a graph of a linear equation and a parallel
graph Grade C
• recognise the relationship between parallel linear
graphs Grade B
Challenge Objective - draw and recognise
the relationship between perpendicular
linear equations Grade A
Key Words
negative, reciprocal, parallel, perpendicular

4. Today I will learn to recognise the
relationships between linear graphs.
• Draw the graphs of the
following equations:
y = 3x + 2 and y = 3x – 4
• Draw the graphs of the
following equations:
y = -2x + 1 and y = -2x – 1
• Draw the graphs of the
following equations:
y = ½ x + 4 and y = ½ x – 2
• What do you notice?

5. Today I will learn to recognise the
relationships between linear graphs.
• draw a graph of a linear equation and a parallel
graph Grade C
• recognise the relationship between parallel linear
graphs Grade B
Challenge Objective - draw and recognise
the relationship between perpendicular
linear equations Grade A
Key Words
negative, reciprocal, parallel, perpendicular

6. Today I will learn to recognise the
relationships between linear graphs.
What’s the negative You have a go!
reciprocal of the
a) 7
following?
b) -2
2
c) ½
-3
d) -1/2
¼
e) 10
f) 1.5

7. Today I will learn to recognise the
relationships between linear graphs.
• draw a graph of a linear equation and a parallel
graph Grade C
• recognise the relationship between parallel linear
graphs Grade B
Challenge Objective - draw and recognise
the relationship between perpendicular
linear equations Grade A
Key Words
negative, reciprocal, parallel, perpendicular

8. Today I will learn to recognise the
relationships between linear graphs.
• Draw the graphs of the
following equations:
y = 3x + 2 and
y = -⅓x – 4
• Draw the graphs of the
following equations:
y = -2x + 1 and
y = ½x – 1
• Draw the graphs of the
following equations:
y = ½ x + 4 and
y = -2x – 2
• What do you notice?

9. Plenary
Write down an equation with:
a) A parallel graph of the equation;
b)A perpendicular graph of the
equation
of y = 4x - 2

10. Slides that follow are to print off to
give to the students as
worksheets!!!!
Print slides 11 to 18 as handouts
with 2 per page, sorry it is a lot of
print outs but will save the
students ages!

11. Entry Activity
• Label the
equations
of the
lines

12. Today I will learn to recognise the
relationships between linear graphs.
• draw a graph of a linear equation and a parallel
graph Grade C
• recognise the relationship between parallel linear
graphs Grade B
Challenge Objective - draw and recognise
the relationship between perpendicular
linear equations Grade A
Key Words
negative, reciprocal, parallel, perpendicular

13. Today I will learn to recognise the
relationships between linear graphs.
• Draw the graphs
of the following
equations:
y = 3x + 2 and
y = 3x – 4
• What do you
notice?

14. Today I will learn to recognise the
relationships between linear graphs.
• Draw the graphs
of the following
equations:
y = -2x + 1 and
y = -2x – 1
• What do you
notice?

15. Today I will learn to recognise the
relationships between linear graphs.
• Draw the graphs
of the following
equations:
y=½x+4
and y = ½ x – 2
• What do you
notice?

16. Today I will learn to recognise the
relationships between linear graphs.
• Draw the
graphs of the
following
equations:
y = 3x + 2 and
y = -⅓x – 4
• What do you
notice?

17. Today I will learn to recognise the
relationships between linear graphs.
• Draw the
graphs of the
following
equations:
y = -2x + 1 and
y = ½x – 1
• What do you
notice?

18. Today I will learn to recognise the
relationships between linear graphs.
• Draw the
graphs of the
following
equations:
y = ½ x + 4 and
y = -2x – 2
• What do you
notice?