Georgia 7.PAR.4.4
The Standard
Identify, represent, and use proportional relationships.
Georgia's K-12 Mathematics Standards · Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide whether two quantities have a constant ratio. They show the relationship with a table, a graph through the origin, and an equation in the form y = kx, then solve related problems.
What Mastery Looks Like
- A student can verify that y/x stays constant across a table and identify that value as the constant of proportionality. The student can write y = kx, graph a line through the origin, and find missing values.
Common Misconceptions
- Students may call any increasing relationship proportional, even when ratios change. They may use y = mx + b with a nonzero intercept, or confuse the constant ratio y/x with a difference.
How to Assess It
- Exit ticket: The pairs (2, 6), (5, 15), and (8, 24) relate x and y. Decide whether the relationship is proportional, write its equation, and find y when x = 12.
Lesson moves
Ways to Teach It
Mix colored water using 1 spoon of dye per 4 cups, record several batches, and graph cups against spoons.
Students answer in writing: How can you prove a relationship is proportional from a table, graph, and equation?
Play a card sort matching tables, graphs, equations, and situations that share the same constant of proportionality.
Compare grocery prices by finding unit prices, writing y = kx for each item, and deciding which option costs less.
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Printable 7.PAR.4.4 Worksheet
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Related Standards
- 7.PAR.4
Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.
- 7.PAR.4.2
Determine the unit rate (constant of proportionality) in tables, graphs (1, r), equations, diagrams, and verbal descriptions of proportional relationships to so...
- 8.PAR.4
Show and explain the connections between proportional and non-proportional relationships, lines, and linear equations; create and interpret graphical mathematic...
- 7.PAR.4.8
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in differen...
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