1. Proportional Relationships.notebook November 20, 2012
AIM: Proportional Relationships
Do Now
Evaluate the following using the order
of operations.
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2. Proportional Relationships.notebook November 20, 2012
Task 1: For each example find the rate of the distance
to the time. Then write each rate as a unit rate.
Which of the examples are
proportional relationships?
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3. Proportional Relationships.notebook November 20, 2012
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4. Proportional Relationships.notebook November 20, 2012
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5. Proportional Relationships.notebook November 20, 2012
Time
1 2 3 4 5
(hours)
Distance
3 6 9 12 15
(Miles)
y
Unit Rate: 20
19
18
17
16
15
14
13
12
11
10
9
y
8 y
7 15
6
14
5
4 13
(4 ,
3 12 12)
2 11
1 x
Distance (Miles)
10
(3 ,
9 9)
0 1 2 3 4 5
8
7
(2 ,
6 6)
5
4
(1 ,
3 3)
2
1 x
x
0 1 2 3 4 5 6 7 8 9 10
Time (Hours)
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6. Proportional Relationships.notebook November 20, 2012
Time (hours) 1 2 3 4 5
Distance
5 7 9 11 13
(Miles)
Unit Rate:
y
y
15
14
(5 ,
13 13)
12
(4 ,
11 11)
Distance (Miles)
10
(3 ,
9 9)
8
(2 ,
7 7)
6
(1 ,
5 5)
4
3
2
1 x
x
0 1 2 3 4 5 6 7 8 9 10
Time (Hours)
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7. Proportional Relationships.notebook November 20, 2012
Time
1 2 3 4 5
(hours)
Distance
1 4 9 16 25
(Miles)
Unit Rate:
y
y
(5 ,
25)
Distance (Miles)
(4 ,
16)
(3 ,
9)
(2 ,
4)
(1 , x
1)
x
Time (Hours)
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8. Proportional Relationships.notebook November 20, 2012
Time (hours) 1 2 3 4 5
Distance
1.5 3 4.5 6 7.5
(Miles)
Unit Rate:
y
y
10
9
8 (5 ,
7.5)
7
Distance (Miles)
(4 ,
6 6)
5 (3 ,
4.5)
4
(2 ,
3 3)
2 (1 ,
1.5)
1
x
x
0 1 2 3 4 5 6 7 8 9 10
Time (Hours)
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9. Proportional Relationships.notebook November 20, 2012
Vocabulary:
Proportional Relationship - is a relationship between two
quantities in which the ratio of one quantity to the other is
constant.
Constant of Proportionality - If the relationship between x and
y is a proportional relationship, then the constant ratio is called
the constant of proportionality.
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10. Proportional Relationships.notebook November 20, 2012
Task 2: Graph the tables on the coordinate planes
provided
Questions:
1.) What do you notice about the graphs?
2.) How are the proportional graphs different than the
non‐proportional graphs?
3.) What is the constant of proportionality for the
proportional graphs?
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11. Proportional Relationships.notebook November 20, 2012
Before You Leave
1.) Create a point on Example 1's graph
that is the same ratio as the other data.
2.) Create a point on Example 1's graph
that is a different ratio as the other
data.
3.) Explain your process for creating
the points.
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12. Proportional Relationships.notebook November 20, 2012
Homework
On Core Page 42 #1-4 all
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