Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Monthly Update sign up
Mailing List signup
Learning Math Home
Patterns, Functions, and Algebra
Session 4 Part A Part B Part C Part D Homework
Algebra Site Map
Session 6 Materials:

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

In This Session:

Part A:

Two Different Meanings of "More"

Part B:

The Mixture Blues

Part C:


Part D:

Speeds, Rates, Steepness, and Lines



Learning Objectives

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

video icon

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

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

Learning Math Home | Algebra Home | Glossary | Map | ©

Session 4: Index | Notes | Solutions | Video


© Annenberg Foundation 2017. All rights reserved. Legal Policy