## Reflection: Checks for Understanding Domain and Range of Graphs Using Set Builder Notation - Section 1: Warm Up

During the Warm Up, I plan to check for student misunderstanding of inequalities.  Some students are confused about which direction to shade. However, most students are confused about the meaning of an open or closed circle.  I focus on this misunderstandings by reviewing with students what equal to means.  It means "to include a number."  It is equal to that solution, so the circle is closed.  In contrast, an open circle means that it goes as close as it can to that number, but does not include it for a solution to the inequality.

I define inequalities as showing restrictions or constraints that we have in the problem. I teach about what possibilities could the domain and range be, and what is not possible for the domain and range.  Inequalities tend to be an overall weakness at our school, and I will work this year to try to help students overcome that fear or intimidation of working with inequalities.

Students common mistakes with inequalities
Checks for Understanding: Students common mistakes with inequalities

# Domain and Range of Graphs Using Set Builder Notation

Unit 1: Introduction to Functions
Lesson 4 of 13

## Big Idea: Restrictions! Students gain a strong foundation for Inequalities, and use two different colors to organize the difference between domain and range.

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Standards:
Subject(s):
Math, Inequalities (Algebra), Algebra, Domain and Range Using Set Builder Notation, function
50 minutes

### Rhonda Leichliter

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