Students will be given a graph and a brief description of what the graph relates. They will then interpret the meaning of values depicted on the graph. For example, suppose the graph describes the price of gas per gallon. Then the point \((2, 6)\) could mean that \($6\) is the price for \(2\) gallons of gas.

Watch these Khan Academy videos:

- Intro to proportional relationships
- Proportional relationships: spaghetti
- Is side length & perimeter proportional?
- Is side length & area proportional?
- Proportional relationships: movie tickets
- Proportional relationships: bananas
- Worked example: Solving proportions
- Equations for proportional relationships
- Writing proportions example
- Proportional relationships: graphs

Do these Khan Academy exercises:

- Proportional relationships
- Constant of proportionality from tables (with equations)
- Solving proportions
- Writing proportional equations
- Constant of proportionality from tables
- Constant of proportionality from equations
- Writing proportions
- Identify proportional relationships
- Interpret constants of proportionality
- Interpret constant of proportionality in graphs
- Interpreting graphs of proportional relationships
- Constant of proportionality from graphs
- Writing proportional equations from tables
- Identify proportional relationships from graphs
- Compare constants of proportionality

Next, give your students these challenges:

- What's in a Name? by NRICH
- 2019 Math Kangaroo Levels 1-2 Problem #24 by STEM4all

Conclude by leading this investigation:

Algebra on Rectangles

by MathPickle

7.RP.A.2: Recognize and represent proportional relationships between quantities.