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Lesson plan

Lesson 16: Solving More Ratio Problems

teaches Common Core State Standards MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards 6.RP.A.3 http://corestandards.org/Math/Content/6/RP/A/3

Lesson 16: Solving More Ratio Problems

In this lesson, students use all representations they have learned in this unit—double number lines, tables, and tape diagrams—to solve ratio problems that involve the sum of the quantities in the ratio. They consider when each tool might be useful and preferable in a given situation and why (MP5). In so doing, they make sense of situations and representations, and are strategic in their choice of solution method (MP1).

Lesson overview

  • 16.1 Warm-up: You Tell the Story (10 minutes)
  • 16.2 Activity: A Trip to the Aquarium (20 minutes)
    • Includes "Are you Ready for More?" extension problem
  • 16.3 Optional Activity: Salad Dressing and Moving Boxes (10 minutes)
  • Lesson Synthesis
  • 16.4 Cool-down: Pizza-making Party (5 minutes)

Learning goals:

  • Choose and create diagrams to help solve problems involving ratios and the total amount.
  • Compare and contrast (orally) different representations of and solution methods for the same problem.

Learning goals (student facing):

  • Let’s compare all our strategies for solving ratio problems.

Learning targets (student facing):

  • I can use diagrams to help someone else understand why my solution makes sense.
  • I can choose and create diagrams to help think through my solution.
  • I can solve all kinds of problems about equivalent ratios.

Required materials:

  • rulers
  • graph paper
  • tools for creating a visual display
  • pre-printed slips, cut from copies of the blackline master

Required preparation:

  • You will need the Solving More Ratio Problems Info Gap Blackline Master for this activity.
  • Make one copy for every 6 students, and cut them up ahead of time.
  • It is recommended to use a different color paper for each of the four pages, to make them easier to organize.
  • A class set could be reused if you have more than one class.

Glossary:

  • Access the complete Grade 6 glossary.

 

 

 

 

 

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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