Your boss asks you to visually display three plans and compare them so you can point out the advantages of each plan to your customers. 175 North Beacon Street Step 2. Author: Created by elcarbo. So check out these 15 systems of equations activities that will help students understand and practice finding the solution to two linear equations. The two situations are: 1. Note that the last three pieces of information describing the plans are superfluous; it is important for students to be able to sort through information and decide what is, and is not, relevant to solving the problem at hand. Therefore, we can find a linear equation for each plan relating $y$, the total monthly cost in dollars, to $t$, the number of text messages sent. To visually compare the three plans, we graph the three linear equations. Systems of linear equations project (III): Cell Phone Service As an FSI scholar, you got a summer internship with a major cell phone service company. In two variables ( x and y ) , the graph of a system of two equations is a pair of lines in the plane. MDUSD, linear functions, systems of equations Review Vocabulary: Linear equation, variable (some number) Review with student the question: A cell phone plan costs $45.00 per month with the cost for texting an added $0.25 per text. The project idea is that the students are helping the PTA be educated on how to select the best cell phone plan. In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables. The same type of analysis can be done for cable services, bundled or unbundled, streaming services, group dinners or rental costs. Use your knowledge of solutions of systems of linear equations to solve a real world problem you might have already been faced with: Choosing the best cell phone plan. This video explains how to solve an application problem using a system of equations. Therefore, we can find a linear equation for each plan relating $y$, the total monthly cost in dollars, to $t$, the number of text messages sent. There are three possibilities: The lines intersect at zero points. We can write the total cost per month as $$y = 49.95 + 0.05t$$. A system of linear equations is a set of two or more linear equations with the same variables. Students then move to analyzing different cell phone plans by creating a table, equation and graph of the plan. Students analyze a cell phone bill to create a linear equation of how to calculate the bill. Loading... Save for later. To find the exact coordinates of each intersection point, we need to solve the corresponding system of equations. Tools are available and useful to students during their analysis, and provide opportunities to make sense of the different rate plans. They will create a short Infographic (via Google Drawings or Canva) or Google Slide to display their information. Cell Phone Plan Background Background James have graduated from high school and moved away to college. By determining the intersection point of two plans, students can make informed decisions. Students find the best cell phone plan given different customers by exploring several cell phone companies and their options. 20 minutes. f) solving real-world problems involving equations and systems of equations. Two cars comparing the base price (the cost of the car) and the cost of driving the car. Students write and graph systems of linear equations modeling their data and present their findings via graphing and a written statement explaining to their customer which plan they should choose and why. This presentation provides students with opportunities to engage, explore, apply, and connect the algebraic concept of systems of linear equations by using cell phone plans. Big Idea The purpose of this lesson is for students to understand how to analyze a system of equations to determine when a plan is cheaper, more expensive, … Skip to section navigation, Teaching Science to Young Children With Visual Impairments. This linear equations project was one of my favorite things about teaching Algebra. Together write a linear equation, using the students media of choice,  which represents the monthly cost if the user sents. Building Systems of Linear Models. Answer. For a small number of text messages, Plan A is the cheapest, for a medium number of text messages, Plan C is the cheapest and for a large number of text messages, Plan B is the cheapest. 2. You are a representative for a cell phone company and it is your job to promote different cell phone plans. Apply: Students will apply their knowledge of the cell phone plans and systems of equations in a Google Doc. Skip to content In order to complete this project, start by selecting one of the situations below: Cell Phone Plan: Your parents have decided that you should pay Real-world situations including two or more linear functions may be modeled with a system of linear equations. Use the methods we have been studying to determine which plan is better based on the number of nights you decide to stay if you had $1500 to spend for this vacation. In addition, each text message costs 10 cent or \$0.10. Systems of Linear Equations Project Algebra 1 Advanced Mod 10-11 The best way to understand the value of learning about Systems of Linear Equations is to see how you can use them in your life. This task was submitted by James E. Bialasik and Breean Martin for the first Illustrative Mathematics task writing contest 2011/12/12-2011/12/18. At an intersection point of two lines, the two plans charge the same amount for the same number of text messages. Together write a linear equation, using the students media of choice, which represents the monthly cost if the user sents t messages. We can write the total cost per month as $$y = 29.95 + 0.10t$$ I feel like it is really important for students to really understand what they are doing when they solve a system of equations. Cell phone plans comparing monthly fee and price per text message. Systems of Linear Equations- Cell Phone Plans (no rating) 0 customer reviews. At how many minutes do both companies charge the same amount? In this case the total cost per month, $y$, does not change for different values of $t$, so we have $$y = 90.20$$, Plan C has a basic fee of \$49.95 even if no text messages are sent. Data and source of data c. System of linear equations with explanation of the y-intercept and slope d. Solution to the written systems (all work shown). Cell Phone Plans Situation: You have graduated from high school Licensed by Illustrative Mathematics under a V. OBJECTIVES: • Students will use their knowledge of linear systems to determine the most cost efficient scooter rental plan for their families. About this resource. The graph for the Plan B equation is a constant line at $y=90.20$. To solve the system of equations, you need to find the exact values of x and y that will solve both equations. 5 - Linear Systems Interactive Notebook Unit - If you want an entire interactive notebook unit for systems of equations, look no further. Generally speaking, those problems come up when there are two unknowns or variables to solve. Created: Jul 28, 2015. The two situations are: 1. The second plan has a $30 sign-up fee and costs $25 per month. Then write a system of linear equations for the two plans and create a graph. Plan A has a basic fee of \$29.95 even if no text messages are sent. In addition, each text message costs 10 cent or \$0.10. Info. My students would run into the room and right over to the windowsill, excited to see their grass and about taking the day's data. 2. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations. Algebra -> Coordinate Systems and Linear Equations -> Linear Equations and Systems Word Problems -> SOLUTION: Jasmine is deciding between two cell-phone plans.The first plan has a $50 sign-up fee and costs $20 per month. Prepare a written plan for the doctors suggesting nutrition requirements that should be included in the diets for patients with a specific illness. Two cars comparing … This project asks students to choose two different cell phone companies to compare. Step 1. Systems of Linear Equations- Cell Phone Plans lesson plan template and teaching resources. The project is so simple - students plant seeds, grow grass, measure, plot growth, find lines of fit - but the learning opportunities stretch the project so much farther. Preview. Typeset May 4, 2016 at 18:58:52. When the student is confident in the ability to write the linear equation have the student calculate the monthly cost if 100, 200 and 300 text messages are sent. Two cars, comparing the base price (the cost of the car) and the cost of driving the car. Attribution-NonCommercial-ShareAlike 4.0 International License. Cell phone plans comparing monthly fee and price per text message. The coordinates of these points correspond to the exact number of text messages for which two plans charge the same amount. The two situations are: 1. Remember, when solving a system of linear equations, we are looking for points the two lines have in common. 2. Because we are looking for the number of text messages, $t$, that result in the same cost for two different plans, we can set the expression that represents the cost of one plan equal to the other and solve for $t$. I plan this Practice warm-up as a follow up from the previous day's lesson to have students successfully use the Substitution Method to solve a system of equations during this lesson. Creative Commons a. Systems of Equations and Inequalities You are a team of nutrition counselors working for a major hospital. And he have to stick to a strict budget and plan to spend no more than $40 Project Mission Systems of This complete unit is ready to copy! Created: Jul 28 ... Free. Plan B has a lower basic fee (\$29.95) than Plan A (\$49.95); therefore it starts lower on the vertical axis. 5) Compile all documentation for book of the project. Cell phone plans, comparing monthly fee and price per text message. In this project, you will be choosing between two real life situations and then using systems of linear equations to decide what to buy. Document all work done. Choosing a cell phone plan using linear equations perkins system of project with rubric ex compare plans write to model and data usage fill find equation systems problem in real life their solutions math vacation dear inequalities word problems harder Choosing A Cell Phone Plan Using Linear Equations Perkins System Of Equations Project Cell Phone With Rubric Ex… Read More » We can write the total cost per month as $$y = 29.95 + 0.10t$$, Plan B has a basic fee of \$90.20 even if no text messages are sent. For example, + − = − + = − − + − = is a system of three equations in the three variables x, y, z.A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied. In each case the basic fee is the vertical intercept, since it indicates the cost of a plan even if no text messages are being sent. ... A cell phone plan offers 300 free minutes for a flat fee of 20 dollars. Creative Commons Determine which plan has the lowest cost given the number of text messages a customer is likely to send. (The lines are parallel.) _____ Graphing calculators will be used both as a primary tool in solving problems and to verify algebraic solutions. Solving Systems of Linear Equations A system of linear equations is just a set of two or more linear equations. SWBAT graph lines that represent 2 cell phone plans and solve the system of equations to determine the best plan. (y=45+0.25t) To determine the range of “small”, “medium” and “large” numbers of text messages, we need to find the $t$-coordinate of the intersection points of the graphs. Since Mr. Byan is tech savvy and a Once the student is confident, have him/her complete the task using the students media of choice. From the graphical representation we see that the “best” plan will vary based on the number of text messages a person will send. If your usage exceed 300 minutes, you pay 50 cents for each minute. In addition, each text message costs 5 cent or \$0.05. Linear equations, coordinate planes, and systems of equations are covered in this extremely well-organized instructional activity. A customer wants to know how to decide which plan will save her the most money. Attribution-NonCommercial-ShareAlike 4.0 International License. to solve equations and inequalities. 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