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Unit Rate/Constant of Proportionality Reteach
Presentation
•
Mathematics
•
6th Grade
•
Medium
+2
Standards-aligned
Christi Rankin
Used 3+ times
FREE Resource
8 Slides • 8 Questions
1
Unit Rate/COP Reteach
By Christi Rankin
-I can find the unit rate involving complex fractions.
-I can create a model with functions to represent a proportional relationship in a real world situation.
-I can determine which function is represented by a given model.
-I can identify the constant of proportionality.
-I can determine which table, graph, or equation has a given constant of proportionality.
2
Unit Rate
I can find the unit rate involving complex fractions.
Lowry built 1/2 of a tower in 2 minutes. If he continues to build at that same rate, how long will it take him to build one tower?
3
Unit Rate
I can find the unit rate involving complex fractions.
G-Mama is using 4 cups of milk. How much cocoa mix should she use?
4
Unit Rate
I can find the unit rate involving complex fractions.
If Travis can wash 1/3 of his police car in 1/4 of an hour, what is his unit rate?
Discuss and solve with your partner.
Show your work on your white board and circle your answer.
5
Multiple Choice
Determine the unit rate of a marathon runner
who travels 5/2 miles in 1/4 hour.
10 mi/h
5/8 mi/h
11/4 mi/h
1/10 mi/h
6
How can you tell if the number of test questions is proportional to the numer of word problems? Think Time!
Constant of Proportionality (K)
Proportional or Not?
# of word problems | # of test questions |
|---|---|
2 | 18 |
3 | 27 |
4 | 34 |
5 | 50 |
7
Multiple Choice
Proportional or Non-Proportional?
Proportional
Non-Proportional
8
Multiple Choice
Proportional or Non-Proportional?
Proportional
Non-Proportional
9
Discuss with your partner: could you fill in the table correctly? how?
Constant of Proportionality (K)
I can identify the constant of proportionality from a table and an equation.
y = 5x
x | y |
|---|---|
0 | |
1 | |
2 | |
3 | |
10
Multiple Choice
Identify the constant of proportionality.
2
3
0.6
1.50
11
What would your first step be to answer this question? Think.
Then we will share.
Constant of Proportionality (K)
Write an equation that represents the proportional relationship of total cost, x, to the number of students attending the trip, y, at a rate of $10 per student.
12
Multiple Choice
If Justin can type 408 words in 4 minutes at a constant rate, what is the constant of proportionality (K)?
4
102
120
408
13
Multiple Choice
If Justin can type 408 words in 4 minutes at a constant rate and K= 102, which equation represents the proportional relationship?
y=4x
x=4y
y=102x
x=102y
14
Let's discuss.
Constant of Proportionality (K)
I can determine the constant of proportionality from a graph.
15
Multiple Choice
Using the graph, determine the constant of proportionality.
16
Multiple Choice
Unit Rate/COP Reteach
By Christi Rankin
-I can find the unit rate involving complex fractions.
-I can create a model with functions to represent a proportional relationship in a real world situation.
-I can determine which function is represented by a given model.
-I can identify the constant of proportionality.
-I can determine which table, graph, or equation has a given constant of proportionality.
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