Ratio, rate and proportion

📖Standard

CCSS.MATH.CONTENT.7.RP.A.1 Analyze proportional relationships and use them to solve real-world and mathematical problems.

📲Technology Required

⏰TIME

45 minutes

📃SUMMARY

In this lesson students are given definitions of ratio and rate and examples of computing rate and distance. Students complete a short assignment using animals observed outdoors as the data for computing ratio, rate and proportion. An alternative assignment is given for students learning at home or otherwise requiring modification. The lesson concludes with game play.

📚LESSON

Mini-lecture

Begin with this Google slides presentation defining ratio and rate and including examples of rate and distance problems. Students learning at home can read the presentation and do the activities and problems on their own.

OPTIONAL VIDEO

If your students are having difficulty understanding the problems, this video may help.

An example of solving time, rate and distance problems

Compute rate, ratio and proportion

In this short assignment, also linked in the Google slides presentation, using animals observed outdoors as the data for computing ratio, rate and proportion.

  • Everyone needs to get a partner.  You and your partner will go outside and each count as many different species of animals as you can. Do this for exactly 5 minutes. Two of the exact same kind of animal only count as one species. 
  • After 5 minutes is up, find the ratio of your animals compared to your partner’s list of animals.
  • Next, find the rate.  How many animals did you see per minute?
  • Lastly, your group shall compare your ratio to another group. Are they proportional or non-proportional?

An alternative assignment is given for students learning at home or otherwise unable to work outside with a partner, where students find animals in two slides.

End with a game

Students play AzTech games for 15 minutes to end the lesson. Time-rate-distance problems are included as a bonus question in AzTech: The Story Begins and are required to win the game in AzTech: Meet the Maya.

Assessment

Once students have played the game, you can look in the AzTech teacher reports to see an individual students response. You will need to know your students’ usernames. To see an example of a report, enter the username “ddtester” .

Related lesson

Introduction to ratio and proportion is a recommended lesson prior to this discussion of rate, ratio and proportion

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