Equivalent Ratios - Grades 6-8

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Summary

This toolkit will address how to apply concepts with equivalent ratios to describe and compare the relationship between two quantities by utilizing a variety of real-world applications and strategies.

Goals and Standards

Colorado Academic Standards:

6.RP.A. Ratios & Proportional Relationships: Understand ratio concepts and use ratio reasoning to solve problems.
- 6.RP.A.1 Apply the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
- 6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
  - 6.RP.A.3.a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

Mathematical Practice Standards:

MP2. Reason abstractly and quantitatively.
MP3. Construct viable arguments and critique the reasoning of others.
MP7. Look for and make use of structure.

Learning Goal:

Students will be able to use various representations to create equivalent ratios that represent the same real-world situation to solve for unknown values