Constant of ProportionalityThe single number that turns one quantity into the other,…7th GradeIn a proportional relationship, y divided by xalways gives the same number, k. The graph isa straight line through the origin.y = kx, where k = y/x3 kg for £6, 5 kg for £10k = 26/3 = 2 and 10/5 = 2.y = 4xk = 4The number in front of x is always k.Graph teststraight line through (0,0)If it misses the origin, it is not proportional.Table testy ÷ x constantAny pair that disagrees breaks it.THE COMMON MISTAKE✗ a straight line means proportional✓ it must also pass through the originy = 2x + 3 is linear but not proportional — doubling x does not double y.k is the unit rate. It is the amount of y for exactly one x.Constant of Proportionalitywww.littleactivity.com

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Math · 7th Grade

Constant of Proportionality

The single number that turns one quantity into the other, every time.

How to use it

Divide y by x for each pair. If you keep getting the same number, it is proportional.

Free · print-ready PDF · US Letter and A4

Grade
7th Grade
Ages
12–13
Subject
Math
Pages
1

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