Is y/x constant in every row?
x1245y361215
Equivalent ratios in a table · grades 6–7
Identify Proportional Relationships from Tables
Build table sets that require a real proportionality check instead of pattern guessing. Some tables preserve one constant y/x; others deliberately change one row so students must identify the broken relationship.
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Identify Proportional Tables
Identify proportional tables · Small whole numbers · Seed 261501
Is y/x constant in every row?
x1345y381215
Is y/x constant in every row?
x1345y5152025
Is y/x constant in every row?
x1235y36914
Is y/x constant in every row?
x1245y22810
Is y/x constant in every row?
x1345y6192430
Is y/x constant in every row?
x1245y6122430
Is y/x constant in every row?
x1245y6122230
Is y/x constant in every row?
x1245y461620
Is y/x constant in every row?
x1235y481220
No fake precision: tables, graph points, equations, and double number lines come from the same exact whole-number constant of proportionality. Better Buy problems compare integer cents per item, so a winner is never chosen from a rounded display value.
Teaching note 1
A table is proportional only when the ratio y/x is the same for every nonzero x-value.
Teaching note 2
A growing pattern alone is not proof; compare multiplicatively rather than looking only at additive differences.
Teaching note 3
Use the answer key to discuss the first row that breaks the constant ratio.
Move among tables, equations, graphs, double number lines, and Better Buy decisions in one exact generator.
Return to ratio foundations →Practice simplified ratios, equivalent tables, unit rates, proportions, and percent proportions.
More skills in this set
Frequently asked questions
How are non-proportional tables made?
They begin with an exact y = kx relationship, then one y-value is changed so the table cannot accidentally remain proportional.
Does every proportional table include a zero row?
No. Students can establish the relationship from matching nonzero ratios; the coordinate origin is emphasized in the graph-focused practice.