Georgia 7.PAR.4.2
The Standard
Determine the unit rate (constant of proportionality) in tables, graphs (1, r), equations, diagrams, and verbal descriptions of proportional relationships to solve realistic problems.
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 find the amount for one unit from a table, graph, equation, diagram, or word problem. They use that rate to connect representations and calculate unknown values in realistic situations.
What Mastery Looks Like
- Students correctly calculate y divided by x and identify the value of y when x equals 1. They use that value to write y = kx, complete tables, read graphs, and solve for missing quantities.
Common Misconceptions
- Students may divide the quantities in the wrong order or confuse the unit rate with any rate in the table. They may treat an additive pattern as proportional. On graphs, they may use one coordinate alone without comparing y to x.
How to Assess It
- Give students this exit ticket: “A graph contains the point (4, 18) and shows a proportional relationship. Find the unit rate, write the equation, and explain what the rate means.”
Lesson moves
Ways to Teach It
Measure cups of water and grams of drink mix, record equivalent mixtures, then calculate grams per cup for each batch.
Ask students to explain why the point (1, r) reveals the unit rate on a proportional graph.
Play a card sort matching tables, graphs, equations, and situation cards that share the same unit rate.
Compare grocery shelf labels by calculating price per ounce, then choose the better buy and justify the choice.
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Printable 7.PAR.4.2 Worksheet
A ready-to-print activity worksheet aligned to 7.PAR.4.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
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Related Standards
- 6.NR.4
Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportion...
- 7.PAR.4
Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.
- 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...
- 7.PAR.4.4
Identify, represent, and use proportional relationships.
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