Unit Rates and Proportions

Flashcard
•
Mathematics
•
6th - 7th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a unit rate?
Back
A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 440 miles in 8 hours, the unit rate is 55 miles per hour.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
2.
FLASHCARD QUESTION
Front
How do you calculate a unit rate?
Back
To calculate a unit rate, divide the total quantity by the number of units. For example, if a car travels 440 miles in 8 hours, divide 440 by 8 to get 55 miles per hour.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
3.
FLASHCARD QUESTION
Front
What is a proportion?
Back
A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.
Tags
CCSS.7.RP.A.2A
4.
FLASHCARD QUESTION
Front
How do you solve a proportion?
Back
To solve a proportion, cross-multiply and then divide. For example, if 2/3 = x/6, cross-multiply to get 2*6 = 3*x, then solve for x.
Tags
CCSS.7.RP.A.2C
5.
FLASHCARD QUESTION
Front
If one pizza feeds 3 people, how many pizzas are needed for 36 people?
Back
12 pizzas are needed because 36 divided by 3 equals 12.
Tags
CCSS.4.OA.A.1
6.
FLASHCARD QUESTION
Front
How do you find the total amount saved over a period of time using a unit rate?
Back
Multiply the unit rate by the number of time periods. For example, if Mary saves $17.50 in 3 weeks, in 15 weeks she will save $17.50/3 * 15 = $87.50.
Tags
CCSS.6.RP.A.3B
7.
FLASHCARD QUESTION
Front
What is the relationship between dogs and cats if there are 5 dogs for every 20 cats?
Back
The relationship can be simplified to 1 dog for every 4 cats.
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