Constant of ProportionalityThe single number that turns one quantity into the other, every time.7th GradeIn a proportional relationship, y divided by x alwaysgives the same number, k. The graph is a straightline 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 MISTAKEa straight line means proportionalit 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 Proportionalitylearnposters.com
Constant of Proportionality — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Constant of Proportionality poster

The rule, 4 worked examples, and the mistake everyone makes.

k is the unit rate. It is the amount of y for exactly one x.

Questions about the Constant of Proportionality poster

What’s on the Constant of Proportionality poster?
The rule, 4 worked examples, and the mistake everyone makes. In a proportional relationship, y divided by x always gives the same number, k. The g…; y = kx, where k = y/x; 3 kg for £6, 5 kg for £10 = k = 2; y = 4x = k = 4; Graph test = straight line through (0,0); Table test = y ÷ x constant; Common mistake: a straight line means proportional → it must also pass through the or…. k is the unit rate. It is the amount of y for exactly one x.
Who is the Constant of Proportionality poster for?
Constant of Proportionality is filed under 7th Grade (ages 12–13), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Constant of Proportionality poster?
Divide y by x for each pair. If you keep getting the same number, it is proportional. A wall chart earns its place by being glanceable from where the work is happening, so Constant of Proportionality belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Constant of Proportionality?
Angle Pairs, Area of a Circle and Box Plots sit alongside Constant of Proportionality in the 7th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Angle PairsArea of a CircleBox Plots
Is the Constant of Proportionality poster free to download and print?
Yes. Constant of Proportionality downloads as a free PDF with no account, no email and no watermark, like everything else in the 7th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Constant of Proportionality poster print at?
Constant of Proportionality is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Constant of Proportionality loses nothing.Printing guide

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