7.A.2.4 Use proportional reasoning to assess the reasonableness of solutions.
In a Nutshell
Number sense is paramount to verifying whether solutions make sense. Proportions in a realworld context will help determine when answers are plausible. For example, The ratio of girls to boys at school is 5:4. If there are 600 boys at the school, is it reasonable that there would be 400 girls? Why or why not?
Student Actions

Teacher Actions


Develop strategies for problem solving by using methods to verify answers in context and confirm that the solutions make sense.

Develop the ability to communicate mathematically why solutions may or may not make sense. Students should be able to analyze a given situation and communicate if the answer is plausible.

Develop mathematical reasoning by having students apply their login to assess the reasonableness of their solutions.

 Implement tasks that promote reasoning and problem solving by allowing students to decide which representations to use in making sense of problems.

Elicit and use evidence of student thinking to support students logic while assessing the reasonableness of solution.

Pose purposeful questions to students regarding the reasonableness of solutions.

Use and connect mathematical representations by comparing student strategies and solutions to determine reasonableness.

Key Understandings

Misconceptions


Identify when proportional reasoning can be used and applied to realworld situations.

Estimate proportions to check if solutions make sense.

Organize ratios in a way that allows for easy and accurate solutions.


OKMath Framework Introduction
7th Grade Introduction
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