Systems of Linear Equations

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Presentation transcript:

Systems of Linear Equations Algebra 150 Ms. Wiggins 1/17/18

Agenda Do Now/ 5 minutes EOC Pre-Assessment/ 15 minutes Objective/ 2 minutes Pre-Assessment/ 15 minutes Direct Instruction/ 20 minutes Independent Assignment/ 30 minutes Exit Slip/ 3 minutes

Objective Students will be able to graph systems of linear equations in two variables to find an approximate solution.

Pre-Assessment 15 minutes Pearsonrealize.com/Login and complete on paper.

Vocabulary Intersection Solution of a system of linear equations

Essential Understanding The intersection of the graphs of a pair of linear equations is used to estimate the solution to the system. If two lines intersect at a point, there is exactly one solution. If two lines are the same, there are infinitely many solutions. If two lines are parallel, there is no solution.

Essential Question How can you use a graph to illustrate a solution to a system of linear equations? Graph the two linear equations, and wherever the equations intersect is the solution of the system.

Example 1 page 143 Pearsonrealize.com Desmos.com Y = -2x – 4

Students Do Use a graph to solve the system of linear equations. Graphing Calculators Y = 1/2x – 2 Y = 3x – 7 Y = 2x + 10 Y = -1/4x + 1

Example 2 Page 144

Students Do Y = 1/2x + 7 4x – 8y = 12

Concept Summary

Independent Assignment 30 minutes Pearsonrealize.com Do You Understand? Do You Know How? 4-1 Additional Practice

Thursday’s Agenda 1/18/18 Do Now Understanding Check Review yesterdays’ assignment solutions Notebook Anchor Charts Gallery Walk Review for Quiz

Understanding Check Review the solutions for independent assignment

Friday’s Agenda 1/19/2018 Do Now Mathspace.co Review Gallery Walk Answers

DOL Students will create anchor charts for concept summary on systems of linear equations using a problem from independent assignment.