Lesson Plan

Equations and Solutions

Subject Area

Mathematics

Grade(s)

Overview

This lesson will use the substitution property to determine solutions to equations and inequalities. The students will be given a replacement set of values. The student will check the values to determine if the result is true or false. The values that are true will be the solution. The student will graph the inequality solutions on the number line.

This lesson results from the ALEX Resource Gap Project.

Content Standards

Mathematics (2019) Grade(s): 6

MA19.6.18
Determine whether a value is a solution to an equation or inequality by using substitution to conclude whether a given value makes the equation or inequality true.

Unpacked Content

Vocabulary

Substitution
Equation
Inequality

Knowledge

Students know:

Conventions of order of operations.
The solution is the value of the variable that will make the equation or inequality true.
That using various processes to identify the value(s) that when substituted for the variable will make the equation true.

Skills

Students are able to:

Substitute specific values into algebraic equation or inequality and accurately perform operations of addition, subtraction, multiplication, division and exponentiation using order of operation.

Understanding

Students understand that:

Solving an equation or inequality means finding the value or values (if any) that make the mathematical sentence true.
The solution to an inequality is often a range of values rather than a specific value.

Interdisciplinary Connections

Learning Objectives

Primary Learning Objectives

Using the replacement set, the student will be able to determine the solution to a given equation.

The student will be able to graph the solution to an inequality.

Procedures/Activities

Before:

The teacher will have the bell ringer on the interactive whiteboard. The students will answer the questions in their notebooks. The teacher will ask selected students to answer the problems. The teacher will do an informal assessment to see if the students are ready to continue. The teacher will write on the interactive whiteboard, “Replacement Set and Solution.” The teacher will discuss the meanings of these terms. The replacement set will be the numbers used to test the equation. A true result when substituting the number for the variable means that the number is a solution. A false result when substituting the number for the variable means that the number is a not solution.

During:

The teacher will start the video https://www.youtube.com/watch?v=ArbMdAMYd_s. The teacher will stop the video and solicit questions from the students. As the teacher stops and continues the video, the teacher will make informal assessments.
The teacher can use more examples from the class's textbook as needed.
The teacher will assign students into groups of four. The teacher will hand out the worksheet "Using Substitution to Solve Problems." The teacher will monitor the students and use differentiated instruction. The teacher will allow students to answer the problems on the interactive whiteboard. The teacher will do an informal assessment.
The teacher will start the video https://www.youtube.com/watch?v=nif2PKA9bXA. The teacher will stop the video and solicit questions from the students. As the teacher stops and continues the video, the teacher will make informal assessments.
The teacher can use more examples from the class's textbook as needed.
The teacher will assign students into groups of four. The teacher will hand out the worksheet "Expressing Inequalities on a Numberline." The teacher will monitor the students and use differentiated instruction. The teacher will allow students to answer the problems on the interactive whiteboard. The teacher will do an informal assessment.

After:

The teacher will hand out the exit slip Substitution 6^th Grade. The students will answer and turn in as they leave the classroom. The teacher will grade the exit slip for a formal assessment.

Learning Activity (Before)

Learning Activity (During)

Learning Activity (After)

Assessment Strategies

Informal:

The teacher will do informal assessments during the videos.

The teacher will do informal assessments during group work on independent practice and adjust instruction as needed.

Formal:

The teacher will use the exit slip, "Substitution 6th Grade", as the formal assessment to make sure the standard is mastered.

Acceleration and Intervention

Acceleration

The teacher will make copies of the worksheet "Writing Inequalities from a Numberline". Students will be challenged to write an inequality to express the number line.

Intervention

The teacher will assign students to groups with a peer tutor. The teacher will use differentiated instruction as needed with students by monitoring their work. The teacher will do one-on-one instruction if needed.

Approximate Duration

Total Duration

31 to 60 Minutes

Background and Preparation

Background/Preparation

Teacher:

The teacher will need to preview the videos to assess good stopping points for students to ask questions. The teacher will make copies of the worksheets for the students.

Student:

The student will need to know the following terms: replacement set, solution, and substitution. The student will need to be able to use the order of operations adequately.