Session 4: Proportional Reasoning

In Session 3, we looked at functions and found them to be a relationship between inputs and outputs where there is exactly one output for each input. In this session we'll look at a special kind of functional relationship: the proportional relationship. We will develop proportional reasoning skills by comparing quantities, looking at the relative ways numbers change, and thinking about proportional relationships in linear functions. Note 1

Part A:
Two Different Meanings of "More"

Part B:
The Mixture Blues

Part C:
Quadperson

Part D:
Speeds, Rates, Steepness, and Lines

Homework

In this session, we'll explore direct variation and proportional reasoning. We will:
•	Differentiate between relative and absolute meanings of "more" and determine which of these is a proportional relationship
•	Compare ratios without using common denominator algorithms
•	Differentiate between additive and multiplicative processes and their effects on scale and proportionality
•	Interpret graphs that represent proportional relationships or direct variation


	Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.


			New in This Session:
			absolute comparison relative comparison proportional relationship direct variation origin

Next > Part A: Two Different Meanings of "More"

Session 4: Index | Notes | Solutions | Video