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7-A-2-4

Page history last edited by Tashe Harris 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?

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 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.