# ALEX Lesson Plan

## Systems of Equations: What Method Do You Prefer?

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This lesson provided by:
 Author: Cathy Bennett System: Geneva City School: Geneva High School The event this resource created for: GEMS
General Lesson Information
 Lesson Plan ID: 24046 Title: Systems of Equations: What Method Do You Prefer? Overview/Annotation: The purpose of this lesson is to help students apply math concepts of solving systems of equations to real life situations. The students will use the three methods of graphing, substitution, and elimination to solve the system of equations.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Associated Standards and Objectives
Content Standard(s):

Local/National Standards:

Primary Learning Objective(s):

The students will be able to apply math concepts transferring from concrete thinking to abstract thinking and apply their knowledge of systems of equations to real-world problems.

The students will develop strategies for solving word problems using systems of equations by letting x and y represent the unknown quantities. They will use charts and translate the verbal statements into a system of linear equations.

Preparation Information
 Total Duration: Greater than 120 Minutes Materials and Resources: Graphic organizers, paper, ruler Technology Resources Needed: Graphing calculators will be used for verifying student graphs. Background/Preparation: The students may need to visit the website for strategies in solving real life problems with a system of equations. problem solving strategies
Procedures/Activities:
 1.)The students will be taught how to solve a system of equations by graphing. Have the students access the video clip: http://www.youtube.com/watch?v=qxHCEwrpMw0&NR=1 The students will then complete the attached worksheets. retrieved at http://www.kutasoftware.com/FreeWorksheets/Systems(system sof equations)This video clip will teach students how to solve systems of equations using substitution. 2.)The students will be taught how to solve a system of equations by substitution. Have the students use the interactive website. After the students have completed the interactive, the teacher will provide them with problems from their textbook to solve by substitution. retreived at: http://www.kutasoftware.com/FreeWorksheets/Systems(systems of equations using substitution)This website will explain to students how to solve systems of equations by substitution. 3.)The students will be taught how to solve a system of equations by elimination. Have the students watch the video clip in order to see the elimination method. The teacher will provide the students with problems from the attachment or from their textbook to solve by the elimination method. http://www.youtube.com/watch?v=FHSLKmyyxHA&feature=related http://www.kutasoftware.com/FreeWorksheets/SystemsWorksheets retrieved at: (systems of elimination)This video clip will teach students how to solve systems of equations by elimination. 4.)The students will be given problems in which they will decide the best method for solving. They will also solve one problem using all three methods to see that the same solution will be obtained. Worksheet attached: http://www.tutor-usa.com/Tutorial/WorksheetsPdf/A_Systems-of-Equations-all-methods.pdf(Systems using all methods)The worksheet reinforces all methods for solving systems of equations. 5.)The students will then complete the attached worksheet on modeling real life problems using a chart to interpret the problems. They will solve the problems using the method they prefer in each problem. 6.)As a real world application have the students complete the attached handout: systems of equations activity. This activity is found at mathwarehouse.com. A grading rubric is attached.

 Attachments:**Some files will display in a new window. Others will prompt you to download. Modeling Real Life Problems.rtf _Systems-of-Equations-all-methods.pdf elimination.pdf graphing systems.pdf susbstitution.pdf systems-equations-activity[1].pdf
Assessment
 Assessment Strategies The students will be assessed informally as the teacher interacts with them after the explanation of each of the methods in the lesson. The teacher may choose to give a quiz after each concept is taught. The students will be evaluated on their charts and equations solved in the real world problems.
 Acceleration: The teacher may see if the students can solve the real-world problems with only one variable and get the same result they did with the two unknowns. Intervention: A worksheet on solving equations may be used at the beginning of the lesson to remind students how to solve an equation. Extra examples should be worked to be sure students understand and can interpret the real life problems.

 View the Special Education resources for instructional guidance in providing modifications and adaptations for students with significant cognitive disabilities who qualify for the Alabama Alternate Assessment.