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IM 6.3.7 Lesson: Equivalent Ratios Have the Same Unit Rates

Which one doesn’t belong? Explain your reasoning.

  • 5 miles in 15 minutes
  • 3 minutes per mile
  • 20 miles per hour
  • 32 kilometers per hour

Two burritos cost $14. Complete the table to show the cost for 4, 5, and 10 burritos at that rate. Next, find the cost for a single burrito in each case.

What do you notice about the values in this table?

Noah bought  burritos and paid  dollars. Lin bought twice as many burritos as Noah and paid twice the cost he did. How much did Lin pay per burrito?

Explain why, if you can buy  burritos for  dollars, or buy  burritos for  dollars, the cost per item is the same in either case.

Complete the table.

Explain the strategy you used to complete the table.

Here is a partially filled table from an earlier activity. Use the same strategy you used for the bracelet problem to complete this table.

Next, compare your results with those in the first table in the previous activity. Do they match? Explain why or why not.

It takes 4 pounds of apples to make 6 cups of applesauce. Complete the table.

Jada eats 2 scoops of ice cream in 5 minutes. Noah eats 3 scoops of ice cream in 5 minutes. How long does it take them to eat 1 scoop of ice cream working together (if they continue eating ice cream at the same rate they do individually)?

The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes. The hose at his next-door neighbor’s house can fill a 10-gallon bucket in 8 minutes. If they use both their garden hoses at the same time, and the hoses continue working at the same rate they did when filling a bucket, how long will it take to fill a 750-gallon pool?