L1 Graphing Starters Links Graphing Starter 1Graphing Starter 1 Graphing Starter 1 SolnsGraphing Starter 1 Solns Graphing Starter 2Graphing Starter 2 Graphing.

L1 Graphing StartersLinks

Graphing Starter 1 Graphing Starter 1 Solns

Graphing Starter 2 Graphing Starter 2 Solns

Graphing Starter 3 Graphing Starter 3 Solns

Graphing Starter 4 Graphing Starter 4 Solns

Graphing Starter 5 Graphing Starter 5 Solns

Graphing Starter 6 Graphing Starter 6 Solns

Graphing Starter 7 Graphing Starter 7 Solns

Graphing Starter 8 Graphing Starter 8 solns

Graphing Starter 9 Graphing Starter 9 solns

Graphing Starter 10 Graphing Starter 10 solns

1st slide

1)

2)

5)

4)

y = 2x + 4

What is the gradient and y intercept of the graphs of these equations?

y = 5x - 7

Graphing Starter 1

5x52

y

53

6x

y

3) x41

3y

Graphing Starter 1 Solns 1st slide

1)

2)

5)

3)

4)

y = 2x + 4

What is the gradient and y intercept of the graphs of these equations?

y = 5x - 7

x41

3y

5x52

y

53

6x

y

gradient = 2 y intercept = 4

gradient = 5 y intercept = -7

gradient = 1/4 y intercept = 3

gradient = -2/5 y intercept = -5

gradient = 1/6 y intercept = 3/5

Graphing Starter 2 1st slide

Sketch theses graphs

1)

2)

5)

3)

4)

y = 3x - 2

y = -2x + 5

3x21

y

5x52

y

13x

y

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Graphing Starter 2 Solns 1st slide

3x2

1y

5x52

y

13x

y

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y = 3x - 2 y = -2x + 5

Graphing Starter 3 1st slide

Sketch theses graphs

1)

2)

5)

3)

4)

y = 3x - 4

y = -0.5x + 3

4x43

y

Write the equation for the graphs:

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6 5)

4)

Graphing Starter 3 Solns 1st slide

5)

4)

y = -0.5x + 3

Write the equation for the graphs:

1x3y

3x51

y

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6 5)

4)

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

4x43

y

y = 3x - 4

1x3y

3x51

y

Graphing Starter 4 1st slide

1)

2)

5)

3)

4)

Sketch these graphs

y = 2x – 4

y = 4 – 3x

y = x2 + 1

y = (x – 3)2

Write the equation for these graphs

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4 6)

5) 6)

Graphing Starter 4 Solns 1st slide

1)

2)

5)

3)

4)

Sketch these graphs

y = 2x – 4

y = 4 – 3x

y = x2 + 1

y = (x – 3)2

Write the equation for these graphs

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

6) y = (x + 1)2

6) 5)

y = x2 + 3

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1)

2)

3)

4)

Graphing Starter 5 1st slide

1)

2)

5)

3)

4)

Sketch these graphs

y = x2 – 3

y = (x + 2)2

y = (x – 1)2

y = –x2

Write the equation for these graphs

6)

5)

6) y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

Graphing Starter 5 Solns 1st slide

1)

2)

5)

3)

4)

Sketch these graphs

y = x2 – 3

y = (x + 2)2

y = (x – 1)2

y = –x2

Write the equation for these graphs

6) 5)

6) y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

y = 0.75x + 2

y = (x – 2)2 – 2

1) 2) 3)

4)

y = 3/4 x + 2

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

Graphing Starter 6 1st slide

1)

2)

5)

3)

4)

Sketch these graphsy = 3x2

y = (x + 3)2

y = – 0.5x2

y = 4x2

Write the equation for these graphs

6)

5)

6)

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

Graphing Starter 6 Solns 1st slide

5)

Sketch these graphs

Write the equation for these graphs

6)

5)

6)

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

y = – 1/3 x + 3

y = (x – 2)2 + 3

1)

2)

3)

4)

1)

2)

3)

4)

y = 3x2

y = (x + 3)2

y = – 0.5x2

y = 4x2

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

Graphing Starter 7 1st slide

1)

2)

5)

3)

4)

Sketch these graphsy = 0.25x – 3

y = 0.5x2

y = x2 – 3

y = 2x2

Write the equation for these graphs

6)

5)

6)

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

Graphing Starter 7 Solns 1st slide

5)

Sketch these graphs

Write the equation for these graphs

6)

5)

6)

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3 y = -x2 + 4

y = 5x – 2

1)

2) 3) 4)

1)

2)

3)

4)

y = 0.25x – 3

y = 0.5x2

y = x2 – 3

y = 2x2

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

Graphing Starter 8 1st slide

1)

2)

5)

3)

4)

Sketch these graphsy = (x + 1)(x – 2)

y = (x + 2)(x + 3)

y = (x – 1)(x – 3)

y = 4 – x2

Write the equation for these graphs

6)

5) 6)y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

Graphing Starter 8 solns 1st slide

1)

2)

5)

3)

4)

Sketch these graphsy = (x + 1)(x – 2)

y = (x + 2)(x + 3)

y = (x – 1)(x – 3)

y = 4 – x2

Write the equation for these graphs

6)

5) 6)

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

y = -1.5x + 3

y = (x + 2)2 – 3

1)

2)

3)

4)

Graphing Starter 9 1st slide

1)

2)

3)

4)

Sketching graphs - EXAM QUESTIONS

y = -2x + 3

y = 4

y = (x – 1)(x + 2)

x = 3

5 10 15 20 25 5 10 15 20 25 30

$

km

5

5

10

10

15

15

20

20

25

25

5

5

10

10

15

15

20

20

25

25

30

30 Taxi Cost Bill

Ted

What is Ted’s cost for 10 km? 5)

6)

7)

8)

What is Ted’s cost per km?

What is Bill’s ‘pick up cost’?

What is Bill’s cost per km?

9)

10)

Equation for Bill?

Equation for Ted?

Graphing Starter 9 solns 1st slide

1)

2)

3)

4)

y = -2x + 3

y = 4

y = (x – 1)(x + 2)

x = 3

5 10 15 20 25 5 10 15 20 25 30

$

km

5

5

10

10

15

15

20

20

25

25

5

5

10

10

15

15

20

20

25

25

30

30 Taxi Cost Bill

Ted

What is Ted’s cost for 10 km? = $20 5)

6)

7)

8)

What is Ted’s cost per km? = $0.5

What is Bill’s ‘pick up cost’? = $15

What is Bill’s cost per km? = $1

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

– 1

– 1

1)

2)

3) 4) y

x

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

9)

10)

Equation for Bill? $ = 1d + 5

Equation for Ted? $ = 0.5d + 5

Graphing Starter 10 1st slide

1)

2)

3)

4)

Sketching graphs - EXAM QUESTIONS

y = -3x + 4

x = 4

y = (x + 1)(x + 2)

y = 2

Builder Cost

Jack

JillWhat is Jill’s cost for 40 hr? 5)

6)

7)

8)

What is Jill’s cost per hour?

What is Jack’s ‘start up cost’?

What is Jack’s cost per hour?

10 20 30 40 50 30 60 90 120 150

$

hours

10

10

20

20

30

30

40

40

50

50

30

30

60

60

90

90

120

120

150

150

What is Jill’s cost Equation?

What is Jacks cost Equation?

9)

10)

Graphing Starter 10 solns 1st slide

1)

2)

3)

4)

y = -3x + 4

x = 4

y = (x + 1)(x + 2)

y = 2

Builder Cost Jack

Jill

What is Jack’s cost for 4 hr? = $1005)

6)

7)

8)

What is Jack’s cost per hour? = $10

What is Jill’s ‘start up cost’? = $30

What is Jill’s cost per hour? = $15

2 4 6 8 10 30 60 90 120 150

$

hours

2

2

4

4

6

6

8

8

10

10

30

30

60

60

90

90

120

120

150

150

y

x

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

1) 2) y

x

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

3)

4)