Analyze proportional relationships and use them to solve real-world and mathematical problems.
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7.RP.1 Compute unit rates associated with ratios of fractions.
Bird Seed (Unit Rate)
Nia and James have new birdfeeders in the yard. They notice that the bluebirds and sparrows are attracted to the sunflower seeds, while the cracked corn attracts wrens. They have also noticed that the bluebirds eat about ¼ of a pound of sunflower seeds in 3 days. The sparrows eat about ½ of a pound of sunflower seeds in 4 days and the wrens eat about ⅕ of a pound of cracked corn in 2 days. How often do they need to buy new bags?
Carpenter (Unit Rate)
Cat Food (Unit Rate)
Dinner Party (Unit Rate)
Andrew, Li, and Sara host a dinner party tonight and still have much work to do. They need to adjust every recipe to have enough of each dessert. There are 15 people coming, including the three hosts, that makes 18 people. How much of each ingredient do we need for all these recipes?
Lawn Mowing (Unit Rate)
Andrew and Li have to cut their grass, but neither wants to do it. To save time, they decide to do it together. Li knows she can do the entire lawn by herself in 40 minutes, and Andrew usually takes 1 hour. If they work together, how long will it take them to mow the lawn.
Extension: Andrew has to fix their second lawnmower first, which takes him 20 minutes.
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7.RP.2 Recognize and represent proportional relationships between quantities.
a. Decide whether two quantities are in a proportional relationship.
b. Identify the constant of proportionality (unit rate).
c. Represent proportional relationships by equations.
d. Explain what a point (x, y) on the graph of a proportional relationship means.
Snail Race
7.RP.3 Use proportional relationships to solve multistep ratio and percent problems.
Black Friday (Discount and Tax)
Alberto needs new equipment for his studio. On Black Friday he goes to Best Buy to buy a laptop, microphone, monitor, webcam, and projector. With his budget, what can he afford to buy?
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Bookstore (Markups and Discount)
The sequel to the popular Warrior Prince will be released soon. We need a sales strategy to maximize our profits. We are here to analyze the numbers from the first book. For the first book, we purchased 1250 books for $20 apiece. How much profit did the store anticipate making? How much profit did the bookstore actually make? How does the bookstore's anticipated profit or loss compare to the actual profit or loss?
Closing Sale (Discount)
Food Labels (Percentages)
Penalty (Percentages)
During a CBS broadcast of a Champions League game, host Kate Abdo has a question for the football analysts: You got one penalty to save your life. Which player in the history of football do you ask to take it? After some thinking and encouragement from Kate and Jamie Carragher, Thierry Henry decides to choose himself even though he says he missed a lot. Without hesitation, Jamie picks Ronald Koeman, the Netherlands and Barcelona legend. Micah Richards wants to look at some data first. Who would you pick?
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Urbanization (Percent Change)
The statisticians working on the population growth project at the Population Division of the Department of Economic and Social Affairs had to be reassigned. You are here to complete their work. Alberto and Li welcome you and your team to the United Nations headquarters and task you with completing the project. Your team is to put together a presentation comparing the population growth of various cities around the world and present it at the UN Security Council meeting.
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