Overview

In Module 3.1 you'll focus on absolute value inequalities involving one variable, thinking about the kinds of situations these might represent and the mathematical methods used to find solutions.


This module focuses on the CAHSEE release question:

If x is an integer, what is the solution to |x - 3| < 1?

A. {-3}

B. {-3, -2, -1, 0, 1}

C. {3}

D. {-1, 0, 1, 2, 3}


This type of question is answered correctly by only 39% of students who take the CAHSEE. As you progress through this module, you will deepen your content knowledge on absolute value inequalites and develop instructional strategies to assist students in mastering these kinds of problems.

The major California Mathematics Content standard addressed in this question include:

Algebra 1, Standard 3.0: Students solve equations and inequalities involving absolute values.
 

Objectives

In Module 3.1: Absolute Value, you will:

  • deepen your understanding of mathematical concepts in Algebra, including
    • representations of inequalities;
    • solving inequalities;
    • integer only solutions;
    • checking solutions and clarifying student understanding of absolute value equations; and
    • alternate solution methods for absolute value equations and inequalities.
  • focus on several new instructional strategies that will help students improve their problem-solving strategies, including
    • real-life examples and
    • using advance organizers
    • using the textbook effectively
    • considering homework pratice