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# 7-A-2-4

last edited by 6 years, 7 months ago

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 real-world 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?

## 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.

## Misconceptions

• Identify when proportional reasoning can be used and applied to real-world situations.

• Estimate proportions to check if solutions make sense.

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

• Students may think just because values increase or decrease by a constant means it is automatically proportional.

• Students may not recognize proportions represented in ways other than fractions ex. 1:4, one out of four, etc.

OKMath Framework Introduction