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IM 7.4.2 Lesson: Ratios and Rates With Fractions

Find the quotient mentally.

A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes.

At that rate, how far does the train go in 1 minute?

How far does the train go in 100 minutes?

Lin ran  miles in  of an hour. Noah ran  miles in  of an hour. Pick one of the questions, but don't tell anyone which question you picked. Find the answer to the question.

  • Who ran faster, Noah or Lin?
  • How far did Noah run in 1 hour?
  • How long would it take Lin to run 1 mile at that rate?
  • How long would it take Noah to run 1 mile at that rate?

When you and your partner are both done, share the answer you got (do not share the question) and ask your partner to guess which question you answered. If your partner can’t guess, explain the process you used to answer the question.

Switch with your partner. What question do you think they answered?

Nothing can go faster than the speed of light, which is 299,792,458 meters per second. Which of these are possible?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

In real life, the Mona Lisa measures 2 ½ feet by 1 ¾ feet. A company that makes office supplies wants to print a scaled copy of the Mona Lisa on the cover of a notebook that measures 11 inches by 9 inches.

What size should they use for the scaled copy of the Mona Lisa on the notebook cover?

What is the scale factor from the real painting to its copy on the notebook cover?

Discuss your thinking with your partner. Did you use the same scale factor? If not, is one more reasonable than the other?