
Proportionality
Presentation
•
Mathematics
•
7th Grade
•
Medium
+3
Standards-aligned
Curtis Armantrout
Used 28+ times
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7 Slides • 8 Questions
1
Proportionality
Unit 5 Important Vocabulary
2
Unit Rate
Definition: A type of ratio that compares a single unit of one thing to another amount that uses different units.
Facts/Characteristics: When working with Unit Rates you will have two different types of units.
The one in the unit rate is not usually shown. (like 20 miles/hour)
3
Open Ended
Driving at a constant speed for 5 hours, a traveler has covered 300 miles. What is the unit rate in miles/hour?
4
Proportional
Definition: When quantities have the same relative size (ratio)
Facts/Characteristics: A proportional graph starts at zero and changes at a constant rate
5
Multiple Choice
If the traveler drove 300 miles in 5 hours.. How far would that traveler drive in 15 hours?
1,500 miles
900 miles
9,000 miles
6
7
Non-Proportional
Definition: When two or more quantities do not have the same relative size (ratios)
Facts/Characteristics: A non-proportional graph either doesn't start at zero, or, is not constant.
8
Multiple Select
Choose all of the fractions (ratios) that are equal to each other.
54
2420
5040
7060
10080
9
Constant of Proportionality
Definition: The rate that a relationship of two numbers increases or decreases
Facts/Characteristics: often represented by the letter k.
xy=k and/or y=kx
10
Multiple Choice
What is the Constant of Proportionality for this table? Remember,
k =xyk = 10
k = 5
k = 3
k = 1
11
Let's Quizizz!
12
Multiple Choice
Greg is making 4 apple pies. He has to buy 24 apples.
What is the Unit Rate? (How many apples for every 1 pie?)
4 pies/1 apple
9 apples/1 pie
7 pies/1 apple
7 apples/ 1 pie
13
Multiple Select
Choose which of the following graphs you think represent a proportional relationship.
14
Multiple Choice
What is the constant of proportionality for this table?
121
21
0
12
24
15
Multiple Choice
James just filled up his truck with gas. He paid $28.75 and got 11.5 gallons of gas. What is the Unit Rate? (What is the cost of 1 gallon of gas?)
$2.00 per Gallon
$2.50 per gallon
$3.00 per gallon
$3.50 per gallon
$4.00 per gallon
Proportionality
Unit 5 Important Vocabulary
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