

Rates, Unit Rates, and Proportionality
Presentation
•
Mathematics
•
7th Grade
•
Hard
Joseph Anderson
FREE Resource
6 Slides • 4 Questions
1
Unit Rates and Proportional Relationships
7th Grade

2
Identifying Proportional Relationships in a Table
Step 1: Form a ratio between each quantity in the table
Step 2: Simplify each ratio
Step 3: Compare the ratios and determine if the ratios are the same
If the ratios are equivalent, the table represents a proportional relationship
3
Proportional Relationships on a Graph
If a straight line passes through the origin (0,0) on a graph, the relationship between y and x is a proportional relationship.
4
Constant of Proportionality
Remember: The constant of proportionality is the value the equivalent ratios have in common in a proportional relationship.
To represent a proportional relationship using an equation, we use the equation y=kx where k represents the constant of proportionality.
5
Let's Practice
6
Represent the relationship in a table
Identify whether the relationship between number of cups and pounds of sugar is proportional.
Find the constant of proportionality
Represent the relationship using an equation
7
Multiple Choice
Did the table represent a proportional relationship?
No
Yes
8
Open Ended
What equation would represent the proportional relationship in question 12 and 13?
9
Multiple Choice
Does the graph represent a proportional relationship?
yes
no
10
Multiple Choice
Which equation represents the proportional relationship?
y=0.5x
y=1.5x
Unit Rates and Proportional Relationships
7th Grade

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