If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.
You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

7-A-2-3

Page history last edited by Brenda Butz 6 years, 3 months ago

7.A.2.3 Use proportional reasoning to solve real-world and mathematical problems involving ratios.

In a Nutshell

Proportional reasoning exists in the real world problems. Apply knowledge of ratios in their different forms to real-world situations in order to solve problems by making comparisons of quantities.

Student Actions	Teacher Actions
Students will demonstrate a deep and flexible conceptual understanding of proportional reasoning by identifying corresponding components in the relationship at a concrete or representational level and moving to the abstract by recording how they thought through a problem. Develop mathematical reasoning how proportional reasoning can be connected to a given real world problem. Students should be able to analyze a real world situation to determine if the real world situation is valid compared to the mathematical reasoning. Develop a productive mathematical disposition that proportional reasoning is useful in real world situations. Students will be presented a variety of real world situations that they will analyze and look for patterns to make comparisons of quantities.	Elicit and use evidence of student thinking to assess progress from concrete and representational levels to abstract thinking about proportional reasoning. Implement tasks that promote reasoning and problem solving by giving students multiple real world situations to analyze and ask students to make a comparison of quantities. Pose purposeful questions to students about proportional reasoning. Ask students to connect their reasoning to a given real world situation.
Key Understandings	Misconceptions
Identify when proportional reasoning can be used and applied to real-world situations. Organize ratios in a way that allows for easy and accurate solutions.	Students may think scenarios or pieces of them are proportional when they are not. Students may struggle to “scale up” a proportion when numbers are larger numbers or not multiples of one another.