Lesson Plan

Systems of Equations Part 3 -- Solving by Elimination

Subject Area

Mathematics

Grade(s)

8

Overview

This lesson will be completed in one class period. This lesson, the third in the series, will focus on another way of solving linear systems, the elimination method. When using this method, the students will multiply one or both of equations to make one of the variables equal. Afterward, the students will add the equations to eliminate the variable.  

This lesson results from the ALEX Resource Gap Project.

Mathematics (2019) Grade(s): 8

MA19.8.12

Solve systems of two linear equations in two variables by graphing and substitution.

Unpacked Content

UP:MA19.8.12

Vocabulary

  • System of linear equations
  • Point of intersection
  • One solution
  • No solution
  • Infinitely many solutions
  • Parallel lines
  • Slope-intercept form of a linear equation
  • Standard form of a linear equation

Knowledge

Students know:
  • The properties of operations and equality and their appropriate application.
  • Graphing techniques for linear equations (using points, using slope-intercept form, using technology).
  • Substitution techniques for algebraically finding the solution to a system of linear equations.

Skills

Students are able to:
  • generate a table from an equation.
  • Graph linear equations.
  • Identify the ordered pair for the point of intersection.
  • Explain the meaning of the point of intersection (or lack of intersection point) in context.
  • Solve a system algebraically using substitution when both equations are written in slope-intercept form or one is written in standard form and the other in slope-intercept form.

Understanding

Students understand that:
  • any point on a line when substituted into the equation of the line, makes the equation true and therefore, the intersection point of two lines must make both equations true.
  • Graphs and equations of linear relationships are different representations of the same relationships, but reveal different information useful in solving problems, and allow different solution strategies leading to the same solutions.

Primary Learning Objectives

The student will solve systems of equations using the elimination method.

Additional Learning Objective(s)

The student will write linear equations in standard form.

Procedures/Activities

Before:

The teacher will have the bell ringer on the interactive whiteboard as the students enter the room. The document, Bell Ringer Elimination, is located in the attachment section. The answers are on the second page. The student will write the answers in their notebooks. The teacher will call on students to answer the definitions for elimination and solution. The teacher will select students to write the lines in standard form.

 

During:

  1. The teacher will show the video for solving by elimination. (https://www.youtube.com/watch?v=8kRG7jlBMAY)
  2. The teacher can post the two PowerPoint presentations in Google Classroom. The students will be able to use the presentations with the exercises in their groups and follow along with the teacher as the lesson is presented.
  3. The teacher will open the PowerPoint presentation, “Systems Add or Minus”. 
  4. The teacher will go slowly through the examples. While explaining the examples, the teacher can do another informal assessment. The teacher does not continue the slides until all students are ready.
  5. After “Systems Add or Minus”, the teacher will open the presentation, “Systems Multiplication”. 
  6. The teacher will explain each example thoroughly. The presentation has informal assessments in the slides.
  7. The teacher will hand out the worksheet from the website, Kuta Software. (https://cdn.kutasoftware.com/Worksheets/Alg1/Systems%20of%20Equations%20Elimination.pdf)
  8. The teacher will put students in groups of four students. The students can use their devices to watch the presentations from Google Classroom to assist in answering the questions on the worksheet. The groups can have a peer-tutor to help intervention students. The worksheet will be an informal assessment tool.
  9. The teacher will do a one-on-one intervention with the groups.
  10. The teacher will ask students to work problems on the interactive whiteboard.

After:

The teacher will hand out the exit slip, “Exit Elimination”. The students will turn in the exit slip as they leave the classroom. The teacher will use the exit slip as the formal assessment. 

Assessment Strategies

Informal Assessments:

The teacher will check for understanding of the standard form of a line during the bell ringer.

The teacher will check for understanding during both PowerPoint presentations.

The teacher will use the worksheet from Kuta Software to assess student understanding of solving systems of equations using elimination. 

Formal Assessment:

The teacher will use the exit slip and an overall summation of the lesson in its entirety to formally assess students. 

Acceleration

The teacher will assign the worksheet, "ACC Elimination". The worksheet has more challenging coefficients and multiplication with both linear equations. The answers are on page two.

Intervention

The teacher will have copies of the PowerPoint slides for the students. The teacher will allow students to be in groups with a peer-tutor. The teacher will monitor and assist students one-on-one.

Approximate Duration

Total Duration

31 to 60 Minutes

Background and Preparation

Background/Preparation

Teacher:

Solving systems of linear equations by graphing and solving systems of linear equations by substitution should have been taught prior to teaching this lesson. This lesson will be taught in one class period. The teacher will need to preview the PowerPoint presentations.

Student:

The student needs to know how to write linear equations in standard form, Ax + By = C. The student will need to know the definitions of the following terms: coefficients, eliminate, opposites, and solution. The terms and definitions will be included on the bell ringer.

Materials and Resources

Materials and Resources

Technology Resources Needed

Approved Date

2017-12-07
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