Identifying Non-Proportional Relationships from Graphs
Identifying Non-Proportional Relationships from Graphs is a Grade 7 math skill in Reveal Math Accelerated, Unit 2: Proportional Relationships, where students examine line graphs and determine whether a relationship is proportional by checking if the line passes through the origin and is straight. A non-proportional linear relationship has a straight line that does not pass through the origin.
Key Concepts
A relationship represented by a graph is non proportional if it fails one or both of the following conditions: 1. The graph is not a straight line. 2. The graph does not pass through the origin $(0, 0)$.
If a linear graph has an equation of the form $y = mx + b$ where $b \neq 0$, it represents a non proportional relationship.
Common Questions
How can you tell if a graph shows a non-proportional relationship?
A non-proportional linear relationship is a straight line that does NOT pass through the origin (0, 0). If the line is straight but crosses the y-axis at a nonzero value, the relationship is linear but not proportional.
What makes a graph proportional?
A proportional relationship graph is a straight line that passes through the origin. The ratio of y to x is constant for every point on the line, and this constant is the unit rate or constant of proportionality.
What is an example of a non-proportional linear relationship?
The cost of a taxi ride with a base fee plus a per-mile charge is non-proportional. Even when miles = 0, there is a fixed starting cost, so the graph does not pass through the origin.
What is Reveal Math Accelerated Unit 2 about?
Unit 2 covers Proportional Relationships, including unit rates, constants of proportionality, tables and graphs of proportional relationships, and distinguishing proportional from non-proportional situations.