# ALEX Lesson Plan

## System of Equations -- Part I Graphing

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This lesson provided by:
 Author: Morgan Boyd Organization: Retirement
General Lesson Information
 Lesson Plan ID: 35613 Title: System of Equations -- Part I Graphing Overview/Annotation: Systems of Equations will be taught over a three-day period: the first day will include a lesson regarding equations that can be solved by graphing, the second day will include a lesson regarding equations that can be solved by substitution, and the third day will include a lesson regarding equations that can be solved by elimination. The students will graph two lines on the same coordinate axis and determine where the two lines cross. The teacher will be able to rock the teenage world with the website "DESMOS". Solving the equations graphically will enhance the graphing skill of the students. The lesson will explain all the ways to graph a line.This lesson results from the ALEX Resource Gap Project.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 8 10 ) Analyze and solve pairs of simultaneous linear equations. [8-EE8] a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersections of their graphs because points of intersection satisfy both equations simultaneously. [8-EE8a] b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. [8-EE8b] Example: 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. c. Solve real-world and mathematical problems leading to two linear equations in two variables. [8-EE8c] Example: Given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair. NAEP Framework NAEP Statement:: 8A4a: Solve linear equations or inequalities (e.g., ax + b = c or ax + b = cx + d or ax + b > c). NAEP Statement:: 8A4c: Analyze situations or solve problems using linear equations and inequalities with rational coefficients symbolically or graphically (e.g., ax + b = c or ax + b = cx + d). Alabama Alternate Achievement Standards AAS Standard: M.AAS.8.10 - Identify the labeled point of intersection on graphs of two linear equations as a solution for both equations.

Local/National Standards:

Primary Learning Objective(s):

The student will be able to determine the solution to the system of equations by graphing.

The student will be able to explain if two lines will intersect, are parallel, or are the same line.

The student will be able to graph linear equations using slope intercept form.

The student will be able to graph a linear equation using x- and y-intercepts.

Preparation Information