Total Duration: 
31 to 60 Minutes 
Materials and Resources: 
Pencils Colored pencils (blue and red) Graph paper (Students may use their own paper; an attachment is included to make copies for the students if needed) Straight edge (ruler, Student ID, or Index Card) for all students Bell Ringer Graphing Lines for the interactive whiteboard (see attached document) Exit Slip Graphing copies for all students (see attachment document) Desktop computer for teacher use and interactive whiteboard Chromebook, iPad, or MacBook for all students so that they can access the website "DESMOS" Websites: "DESMOS" Website: online graphing calculator https://cdn.kutasoftware.com/Worksheets/PreAlg/Systems%20of%20Equations%20by%20Graphing.pdf Print and make copies for all the students Activity for accelerated students, with answers: https://www.hoodriver.k12.or.us/cms/lib06/OR01000849/Centricity/Domain/788/_soe_word_problems_worksheet.pdf

Technology Resources Needed: 
Desktop computer for teacher use and interactive whiteboard Chromebook, iPad, or MacBook for all students so that they can access the website "DESMOS" and use Google Classroom or email. Websites: "DESMOS" online graphing calculator https://cdn.kutasoftware.com/Worksheets/PreAlg/Systems%20of%20Equations%20by%20Graphing.pdf Print and make copies for all the students https://www.hoodriver.k12.or.us/cms/lib06/OR01000849/Centricity/Domain/788/_soe_word_problems_worksheet.pdf Print and make copies for accelerated students 
Background/Preparation: 
Teacher: The teacher will need preview the website "DESMOS". The website is a graphing calculator. The directions for the website are as follows: 1. In order to graph a line, click on the left side next to the number 1. This is the place to type in the first equation. 2. If the number is negative, press "" before the number. 3. When typing fractions, you must use the right arrow to move the cursor off of the denominator. 4. As you are typing, the line will form on the graph. 5. Click on the number 2 to create the next line. The lines will be in different colors. The teacher needs to preview the website "Kuta Software". The website has many free worksheets that can be printed for all the students. The graphing worksheet for this lesson can be found at this link: https://cdn.kutasoftware.com/Worksheets/PreAlg/Systems%20of%20Equations%20by%20Graphing.pdf. The teacher will need to preview Google Docs as well as Google Classroom. The students will be able to attach their answers to the assignments. If Google Classroom is not used in your class then the answers will be done on graph paper. Student: The students will need to be able to graph linear equations. The students need to be able to change the form of a line. The students need to know how to graph lines with slope and x and yintercepts. 
Before: Bell Ringer: As students enter the room, the teacher will display the two equations that the students will graph on the same coordinate plane. The document is in the materials section called “Bell Ringer Graphing Lines”. The students will write on their own graph paper. The lines are graphed using the website DESMOS.com. The instructions are on the bell ringer. During: * The systems of equations solved by graphing will be taught in one class period. * 1. The teacher must tell the students that a system of equations has three possible solutions. They are as follows:
2. The way that the teacher can explain the three ways is to look at the slope of the lines.
3. As the teacher works the examples on the interactive whiteboard, the teacher will need to graph the systems of equations. The teacher will need to make sure that the students have their graph paper and colored pencils. Examples: 2x + y = 3 x – 2y = 4
The slopes are 2 and ½, thus, the lines will intersect and have a solution. The point in common will be the solution in the form (x, y).
Y = x +1 3x + 4y = 12
The slopes are negative, but the yintercepts are 1 and 3. The lines are parallel.
Y = 2x – 3 4x + 2y = 6
The second line can be divided by two. The result would be the same line. The solution would be “all real numbers”.
*The graphing part is concluded for day one of the 3 parts. The next day will be substitution.* After: The student will complete an exit slip. This will be an opportunity for a formal assessment. The exit slip, “Exit Slip Graphing”, is in the attachments section. The teacher will need to copy enough sheets for all the students. The students will turn in the exit slip as they leave the room. The accelerated students will use the worksheet from https://www.hoodriver.k12.or.us/cms/lib06/OR01000849/Centricity/Domain/788/_soe_word_problems_worksheet.pdf. These students will be graphing systems of equations with three lines. 
Attachments: **Some files will display in a new window. Others will prompt you to download. 
Assessment Strategies 
Informal: The teacher will solicit questions from students during the Khan Academy program. The teacher will be able to observe the students working after the lesson. Formal: The teacher will use the exit slip as the formal assessment. 
Acceleration: 
The accelerated students can be used as peertutors during the independent practice. The website, https://www.hoodriver.k12.or.us/cms/lib06/OR01000849/Centricity/Domain/788/_soe_word_problems_worksheet.pdf, will be copied and assigned. 
Intervention: 
The teacher will place the students in groups and assign a peertutor. The teacher will also monitor the students' work while they are working on the independent exercises. The teacher can adjust the time and/or shorten the assignment. 
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.
