Chapter 7.1

Identifying proportional relationships


What You'll Learn

Recognize that proportional relationships have constant ratios between variables
Calculate and compare ratios using y/x to test for proportionality
Identify proportional relationships in tables by checking if all ratios are equal
Determine proportionality from graphs using straight lines through the origin
Understand that dividing by zero creates undefined values that break proportionality

What You'll Practice

1

Testing pairs of x and y values to find constant ratios

2

Plotting coordinates and analyzing whether graphs pass through the origin

3

Identifying proportional vs. non-proportional relationships from tables

4

Verifying straight-line graphs represent proportional relationships

Why This Matters

Proportional relationships are everywhere in real lifefrom unit pricing at stores to speed and distance in travel. Mastering this skill helps you recognize patterns, make predictions, and solve problems in science, economics, and everyday decision-making.

This Unit Includes

9 Video lessons

Skills

Proportional Relationships
Ratios
Variables
Graphing
Linear Relationships
Constant Ratio
Origin
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