Unit Rates and Percent

Lesson 4

Math

Unit 2

6th Grade

Lesson 4 of 14

Objective


Compare situations using unit rates, including speed, price, and work problems.

Common Core Standards


Core Standards

  • 6.RP.A.3.B — 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?

Criteria for Success


  1. Understand that in order to compare two rates, one value must be consistent between the items being compared.
  2. Use the unit rate as a strategy to compare situations.
  3. Find and interpret the unit rate to understand what it reveals about a situation.
  4. Justify choices or decisions between options using sufficient numerical support such as unit rate (MP.3).

Tips for Teachers


  • In terms of pacing, this lesson may need to be extended over more than one day depending on the amount of practice and/or exposure to different variations of problems students need. There are several resources listed in the Problem Set Guidance that can be used for independent or small-group practice. 
  • Remind students how they compared situations in Unit 1 using ratio tables and double number lines, finding a common value between the situations and reasoning about the other values.

Lesson Materials

  • Calculators (1 per student) — See note from lesson 1.
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Anchor Problems


Problem 1

Would you rather buy one 5-pound jug of honey for $15.35, or three 1.5-pound bottles of honey for $14.39? Justify your answer. 

Guiding Questions

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References

Would You Rather Would You Rather 48

Would You Rather 48 by John Stevens is made available on Would You Rather under a CC BY-NC 4.0 license. Accessed on Jan. 17, 2019, 11:12 a.m..

Problem 2

Yaritza and Eddy race to school on their bikes. Eddy bikes 2 miles in 12 minutes, and Yaritza bikes 3 miles in 15 minutes. Who is going faster?

Guiding Questions

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Problem Set

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Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task


Jack and Priya are setting up folding chairs for their school’s weekly Community Meeting. Jack can unfold and set up 55 chairs in 20 minutes. Priya can unfold and set up 44 chairs in 15 minutes. Who works at the faster rate? Justify your answer.

Student Response

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Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

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Lesson 3

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Lesson 5

Lesson Map

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Topic A: Defining Rate & Solving Rate Problems

Topic B: Measurement Unit Conversions

Topic C: Percent

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