How to teach graphing linear inequalities

Screw the test point.

My students super struggle with simple Order of Operations and I am expected to cover all this curriculum before their big exam in May. So give me all the shortcuts!

In my first years of teaching, I ran into the “shade under & over” method vs. the “test a point” method. LIFESAVER.

When y is isolated:

If the inequality symbol is a < or ≤ you shade UNDER the line.

If the inequality symbol is a > or ≥ you shade OVER the line.

That just makes sense! No test point required.

So I made this Foldable that can be found HERE!

 

The foldable includes:

  1. 4 examples
  2. 3 examples require y to be isolated
  3. 2 examples need the inequality symbol to be flipped after dividing by a negative
  4. An area to choose and discuss possible solutions
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