Reflection: Grappling with Complexity Inequalities: The Next Generation - Section 1: Launch and Explore

 

Here is an image that shows the most common solution that students came up with during their time working in groups; I think every single group came up with this solution at the very beginning. This seemed to be an overgeneralization of the Zero Product Property and I am sure that students used this method because they are so used to using it to solve an equation. My favorite part of this lesson was when one group found this solution algebraically and then graphed the function and knew their algebraic solution was incorrect but could not figure out why. This really made them think deeply about the inequality!

An unintended focus of this lesson was the meaning of "and" and "or" in mathematics. I heard so many students reasoning about the use of the words and which one would be appropriate in this case. They also used "and" and "or" to create a single inequality from the two inequalities they made with both factors.

  Grappling with Complexity: Most Common Solution
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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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