Students analyze a cell phone bill to create a linear equation of how to calculate the bill. 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. Created: Jul 28, 2015. Creative Commons The project idea is that the students are helping the PTA be educated on how to select the best cell phone plan. 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 $1500 to spend for this vacation. This project asks students to choose two different cell phone companies to compare. Solving Systems of Linear Equations A system of linear equations is just a set of two or more linear equations. Students compare cell phone plans by analyzing tables, graphs, and equations in this sample lesson. Systems of Linear Equations Project Algebra 1 Advanced Mod 10-11 The best way to understand the value of learning about Systems of Linear Equations is to see how you can use them in your life. The students are required to find the solution algebraically to complete the task. In this project your group will be choosing between two real life situations and then using systems of linear equations to decide what to buy. This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. So check out these 15 systems of equations activities that will help students understand and practice finding the solution to two linear equations. Because we are looking for the number of text messages,$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$. V. OBJECTIVES: • Students will use their knowledge of linear systems to determine the most cost efficient scooter rental plan for their families. In addition, each text message costs 5 cent or \$0.05. Building Systems of Linear Models. 2. 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, … 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 (The lines are parallel.) They will analyze all three plans through a series of graphs and questions. Cell phone plans comparing monthly fee and price per text message. Two cars comparing the base price (the cost of the car) and the cost of driving the car. 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. 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. Your job is to prepare a summary that compares two of your company’s calling plans to help an FSI staff member (Mr.Byan) decide which plan is best for him. 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. Licensed by Illustrative Mathematics under a Plan B has a lower basic fee (\$29.95) than Plan A (\$49.95); therefore it starts lower on the vertical axis. Linear equations, coordinate planes, and systems of equations are covered in this extremely well-organized instructional activity. Skip to content In addition, each text message costs 10 cent or \$0.10. 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. Typically, there are three types of answers possible, as shown in Figure $$\PageIndex{6}$$. ... A cell phone plan offers 300 free minutes for a flat fee of 20 dollars. Systems of Linear Equations- Cell Phone Plans (no rating) 0 customer reviews. 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 » And he have to stick to a strict budget and plan to spend no more than$40 Project Mission Systems of At how many minutes do both companies charge the same amount? Systems of Equations and Inequalities You are a team of nutrition counselors working for a major hospital. System of linear equations System of linear equations can arise naturally from many real life examples. 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. 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. Solve linear … to find the solution to the written system. To solve the system of equations, you need to find the exact values of x and y that will solve both equations. In this project, you will be choosing between two real life situations and then using systems of linear equations to decide what to buy. Together write a linear equation, using the students media of choice, which represents the monthly cost if the user sents t messages. 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. a. 2. Loading... Save for later. 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. Cell Phone Plans System of Equations Project. 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. 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. Real-world situations including two or more linear functions may be modeled with a system of linear equations. 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. 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. \begin{align} 0.1t + 29.95 &= .05t + 49.95 \\ .05t &= 20 \\ t &= 400 \quad \text{Text Messages} \end{align}, \begin{align} 0.05t + 49.95 &= 90.20 \\ 0.05t &= 40.25 \\ t &= 805 \quad \text{Text Messages} \end{align}, Plan A costs a basic fee of \$29.95 per month and 10 cents per text message, Plan B costs a basic fee of \$90.20 per month and has unlimited text messages, Plan C costs a basic fee of \\$49.95 per month and 5 cents per text message.