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6.RP.3 Understand ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,

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Presentation on theme: "6.RP.3 Understand ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,"— Presentation transcript:

1 6.RP.3 Understand ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. 3a - Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. 3b - Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? 3c - Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. 3d - Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

2 Every morning, Julio drives his 1.5 hour route to gather the children for school. His route covers 45 miles and there are 60 kids on the route. Create a tape diagram to determine how many miles are traveled in one hour. Be prepared to share..5 hours 15 miles Given the rate of 45 miles in 1.5 hours, I figured out how far Julio travels in ½ an hour. I used that information to find that Julio travels 30 miles in one hour.

3 money pumpkins $20 $36 $32 $28 $48 $44 $40 $24 4 Jack makes $32 when he sells 4 pumpkins. How many pumpkins will he have to sell to make $48? If Jack finds that he has $120 at the end of the day, how many pumpkins did he sell?

4 Which question best describes the diagram above? A.120 is 25% of what? B.25% of 120 is what? C.6 is what percent of 120? D.120 is what percent of 25? 120 25% What is the answer to the question ?

5 Michael’s pumpkin farm sold 75 pumpkins on October 24. That day they made $600. What did Michael charge for each pumpkin? Which model below shows this situation? Explain. 15 60 100 25 555555 40 A.A. B. C.

6 Below is Malik’s tape diagram for this problem. Do you agree or disagree? Why or why not? The Davis family visited Moran’s Apple Orchard to buy apples to make applesauce. The family paid $480 for the 12 bushels of apples they bought. How much did each bushel cost? 4444 30 They paid $15 per bushel.

7 Matthew is selling pizza for his band trip. Matt needs to raise $1220 if he wants to go for free. For each pizza that Matt sells he earns $4.00 and for every 10 pizzas he earns an addition $10. How many pizzas must Matt sell to earn a free trip?

8 This is a graph of a trip to Nashville, TN. How many hours did the trip take? Explain your thinking. How far had the family travelled after 1.5 hours? Explain your thinking. What was the family’s average rate of speed? Explain your thinking.

9 If I bought a Computer for $1,500.00 and used my 75% off coupon. How much was the computer originally?


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