ALEX Lesson Plan


Inequalities: Solving and Graphing

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  This lesson provided by:  
Author:Sellers Kennington
System: Baldwin County
School: Fairhope Intermediate School
  General Lesson Information  
Lesson Plan ID: 29038


Inequalities: Solving and Graphing


The students will extend their knowledge from solving equalities to solving inequalities. They will also learn to graph the solutions of inequalities.

 Associated Standards and Objectives 
Content Standard(s):
MA2015 (2015)
Grade: 7
10 ) Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. [7-EE4]

a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. [7-EE4a]

Example: The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width'

b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality, and interpret it in the context of the problem. [7-EE4b]

Example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Local/National Standards:


Primary Learning Objective(s):

The student will solve inequalities with one variable and graph the solution.

Additional Learning Objective(s):

The student will learn to effectively communicate ideas in mathematics through cooperative activities.

 Preparation Information 

Total Duration:

31 to 60 Minutes

Materials and Resources:


PowerPoint (attached)

Small white boards, markers, erasers

Problems (attached)

Technology Resources Needed:



Prerequisite: number lines, how to solve one-step and two-step equations


1. Teacher will show the presentation, which walks through each step very slowly. This presentation is animated for each step to show one at a time. The first 13 slides are green, and are the instructional slides.

2. Teacher should stop presentation at any time should a student have any questions.

3. Divide the class into small groups (no more than 4 per group). Each group needs a small white board, expo marker, and an eraser.

4. The next five slides are yellow and are for small groups. Present one problem, give the small groups approximately 3 minutes to solve and write the solution on the white board. Have the students keep the white board face down until you ask for it to be shown. This prevents any sudden changes with other groups!

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Assessment Strategies

Informal observation with the white boards





Each area below is a direct link to general teaching strategies/classroom accommodations for students with identified learning and/or behavior problems such as: reading or math performance below grade level; test or classroom assignments/quizzes at a failing level; failure to complete assignments independently; difficulty with short-term memory, abstract concepts, staying on task, or following directions; poor peer interaction or temper tantrums, and other learning or behavior problems.

Presentation of Material Environment
Time Demands Materials
Attention Using Groups and Peers
Assisting the Reluctant Starter Dealing with Inappropriate Behavior
Be sure to check the student's IEP for specific accommodations.