L1 Graphing Starters
description
Transcript of L1 Graphing Starters
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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
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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
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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
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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
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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
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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)
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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
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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)
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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)
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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
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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
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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
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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
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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
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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
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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
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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)
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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?
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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
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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)
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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)