Reflection: Developing a Conceptual Understanding Inequalities: The Next Generation - Section 3: Extend


A really important conversation came up when we were discussing the sign diagram for the rational inequality; students were wondering why we put the x-intercepts and undefined points on the sign diagram. Why wouldn't a y-intercept go on the sign diagram?

This was important to consider and I had students take a short period of time to think. A few students understood right away that in order for a graph to switch from above the x-axis to below there can only be an x-intercept or an asymptote - nothing else. Afterwards I realized that this idea was essential to their understanding of the sign diagram!

  Why Do We Set Up the Sign Diagram Like That?
  Developing a Conceptual Understanding: Why Do We Set Up the Sign Diagram Like That?
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Inequalities: The Next Generation

Unit 2: Polynomial and Rational Functions
Lesson 9 of 12

Objective: SWBAT solve nonlinear inequalities.

Big Idea: Does the zero product property work for inequalities?

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quadratic inequality
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