

7.rp.2 and 6.RP.3c Proportions and Percents
Presentation
•
Mathematics
•
6th - 8th Grade
•
Medium
+3
Standards-aligned
Kara Robinson
Used 2+ times
FREE Resource
17 Slides • 18 Questions
1
Proportions and Throwback to Percents
By Kara Robinson
2
Match
Warm-Up: Match the following
Constant of Proportionality
Independent variable
dependent variable
origin
Equivalent
k
x
y
(0,0)
equal
k
x
y
(0,0)
equal
3
7.RP.
2a Decide whether two quantities are in a proportional relationship
2b Identify the constant of proportionality
2c Represent proportional relationships by equations
2d Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation
4
Multiple Choice
Kolby can do 52 push-ups in 2 minutes. His friend Jared can do 130 push-ups in 5 minutes. Do these rates form a proportion?
yes
no
5
Decide whether two quantities are in a proportional relationship
6
Fill in the Blanks
7
2b Identify the constant of proportionality
We know the CoP is 200 because when x = 1, y = 200
8
Multiple Choice
Selena and Dylan studied the data in the table. They each wrote an equation to represent the relationship between the number of students and the number of pizzas ordered. Who is correct?
Selena
Dylan
Both Selena and Dylan
Neither Selena nor Dylan
9
2c Represent proportional relationships by equations
Selena and Dylan studied the data in the table. They each wrote an equation to represent the relationship between the number of students and the number of pizzas ordered. Who is correct?
BOTH are correct
10
2c Represent proportional relationships by equations
Selena and Dylan studied the data in the table. They each wrote an equation to represent the relationship between the number of students and the number of pizzas ordered. Who is correct?
BOTH are correct
Write this somewhere in your journal with the 7rp2 notes
11
Open Ended
Determine what the value of A means in each problem.
12
2d Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation
Determine what the value of A means in each problem.
13
Let's go back and talk about Percents
You should have notes in your journal.
14
Dropdown
15
Dropdown
16
Dropdown
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Percentages are a rate per 100.
Percentages are fractions that always have 100 as the denominator.
We use % as the symbol to represent percents
18
19
Finding Percents of a Number:Method One
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Finding Percents of a Number Method Two
1.Write the percent as a decimal by moving the decimal two places to the left in the percent
(35% ----> 0.35)
2 Multiply the quantity times the decimal
(0.35 x 80 = 28)
21
Fill in the Blanks
Type answer...
22
Fill in the Blanks
23
Fill in the Blanks
Type answer...
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Finding a Whole Given % and Part
Examples:
5 is 10% of what number?
There are 16 boys in the classroom. This is 80% of the class. How many total students are in the classroom?
Here, we have a part and a percent. We know we have a part because percent is always out of 100%. We do not have 100% in these type of problems! The problems are saying the number we have is that percentage.
25
Finding Whole Given Part and %
Example: 5 is 10% of what number?
This problem is stating 5 = 10%. We should recognize that since
5 = 10%, we are missing the whole number.
Step 1: write your equation of % x whole = part
10% x whole = 5
Step 2: change your percent into a decimal
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Finding whole given part and %
27
Finding whole given part and %
Some text here about the topic of discussion
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How Do I Know Which Problem is Which?
Finding Percent of a Number vs Finding a Whole Given Part and Percent
Finding a percent: the problem gives you a percent and a number. The number is the whole number and we are trying to find what number the percentage represents. What is 10% of 100. The word of means what part of 100 is 10%
Finding Whole Given Part and Percent
Here, the Percent is the number given. 20 is 10% of what number?
The sentence is saying 20 = 10%...we know that percent is out of 100% so 20 is not the whole. It is also saying that of what number? Meaning the missing number is the big/whole number!
29
Multiple Choice
30
Multiple Choice
31
Multiple Choice
32
Multiple Choice
33
Multiple Choice
Valerie answered 28 problems on her test correctly. If Valerie correctly answered 80% of the problems on the test, then how many problems were on the test?
22 problems
25 problems
35 problems
36 problems
34
Multiple Choice
You are downloading a program onto your computer that is 85 megabytes. As you are working, you notice that only 60% of the program has been downloaded so far. How many megabytes of the program have been downloaded so far?
48 megabytes
51 megabytes
54 megabytes
56 megabytes
35
Multiple Choice
The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are sold?
10%
20%
80%
90%
Proportions and Throwback to Percents
By Kara Robinson
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