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Unit rate from tables · grades 6–7

Constant of Proportionality from Tables

Generate focused practice for finding k in y = kx from equivalent-ratio tables. Every row is constructed from one whole-number unit rate, so k is never inferred from rounding.

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Constant of Proportionality

Find k from tables · Small whole numbers · Seed 261501

1.

Find the constant of proportionality, k = y/x.

x1245y361215
2.

Find the constant of proportionality, k = y/x.

x2345y8121620
3.

Find the constant of proportionality, k = y/x.

x2345y46810
4.

Find the constant of proportionality, k = y/x.

x1345y26810
5.

Find the constant of proportionality, k = y/x.

x1235y36915
6.

Find the constant of proportionality, k = y/x.

x2345y10152025
7.

Find the constant of proportionality, k = y/x.

x1235y5101525
8.

Find the constant of proportionality, k = y/x.

x1345y391215
9.

Find the constant of proportionality, k = y/x.

x1245y24810
10.

Find the constant of proportionality, k = y/x.

x1345y6182430
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

Divide y by x to find k, then check it against a different row.

Teaching note 2

The constant of proportionality is also the unit rate: the y-value when x equals 1.

Teaching note 3

When a table starts at x = 2 or x = 3, division still reveals the per-one value.

All proportional relationship skills →

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.

Frequently asked questions

Is k always an integer here?

Yes. This focused version uses whole-number k values so the lesson tests proportional structure, not fraction division.

Why check a second row?

A second check prevents students from treating one pair as proof when the full table might not be proportional.