Linear or Not?Three tests, and what a non-linear relationship looks like.8th GradeLINEARConstant rate of changeGraph is a straight lineEquation: y = mx + bEqual x steps give equal y stepsx has power 1 onlyNON-LINEARRate of change variesGraph curvesy = x², y = 2ˣ, y = 1/xEqual x steps give different ystepsx appears squared, or as anexponentTHE DIFFERENCE THAT MATTERSLook at the differences in a table. If the y-differences are constant,it is linear. If those differences change, it is not.Proportional is a subset of linear: it is linear AND passes through theorigin.Linear or Not?learnposters.com
Linear or Not? — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Linear or Not? poster

LINEAR against NON-LINEAR, side by side.

Proportional is a subset of linear: it is linear AND passes through the origin.

Questions about the Linear or Not? poster

What’s on the Linear or Not? poster?
LINEAR against NON-LINEAR, side by side. LINEAR: Constant rate of change; LINEAR: Graph is a straight line; LINEAR: Equation: y = mx + b; LINEAR: Equal x steps give equal y steps; LINEAR: x has power 1 only; NON-LINEAR: Rate of change varies; NON-LINEAR: Graph curves; NON-LINEAR: y = x², y = 2ˣ, y = 1/x; NON-LINEAR: Equal x steps give different y steps; NON-LINEAR: x appears squared, or as an exponent; Look at the differences in a table. If the y-differences are constant, it is linear.…. Proportional is a subset of linear: it is linear AND passes through the origin.
Who is the Linear or Not? poster for?
Linear or Not? is filed under 8th Grade (ages 13–14), 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 Linear or Not? poster?
Check for a constant rate of change. That is the whole definition. A wall chart earns its place by being glanceable from where the work is happening, so Linear or Not? belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Linear or Not??
Angles and Parallel Lines, Distance and Midpoint and Exponent & Radical Rules sit alongside Linear or Not? in the 8th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Angles and Parallel LinesDistance and MidpointExponent & Radical Rules
Is the Linear or Not? poster free to download and print?
Yes. Linear or Not? downloads as a free PDF with no account, no email and no watermark, like everything else in the 8th 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 Linear or Not? poster print at?
Linear or Not? 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 Linear or Not? loses nothing.Printing guide

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