day 3 classwork
Producing and Solving a System of Equations in the Real World
Remember, a system means two (or more) equations, so typically, a system of equations in the real-world would mean a comparison of two or more, say, companies. Some common examples of systems of equations being used in the real world would be comparing cost per month for Verizon and Comcast Cable Companies, Verizon and AT&T Cell Phone Companies, comparing being a member of Netflix to simply renting movies either via RedBox or On Demand.
Typically, when producing a system of equations in the real-world, the person solving the system has a question they want answered or a dilemma they are faced with, such as, for how many months would be it cheaper to choose Company A over Company B, or for how many minutes would it make more sense to choose Option A over Option B.
Often, as is the case with many real-world situations, a person is trying to decide between choosing a company that might have an installation fee/membership fee (Cost up front) but a lower monthly cost, than a company that does not have an up-front fee, but perhaps has a higher monthly cost.
A) “BURNING QUESTION”
Your group task is to brainstorm real-life situations where you either have encountered or could encounter a situation/question that could be represented and answered by setting up and solving a system of equations. You can continue on with one of the examples listed above, come up with your own (careful, it has to make sense) or even use the internet as a resource to help come up with an example. Formulate the question you want answered. (Which you will answer by setting up and solving a linear system of equations.)
B) SETTING UP THE SYSTEM
Your group will come up with the system of equations to represent the situation you have a come up with by researching all of the necessary information that goes along with this situation. (This might include initial fees, cost per unit…)
C) SOLVE THE SYSTEM
Your group will solve the system using all three methods, graphing, substitution and elimination. (The solution should be the same using all three methods)
D) ANSWER AND PRESENT
Your group will pretend that you are attending an office meeting where it is your job to present your “Burning Question” to an office of professionals, as well as all of the information you learned/uncovered and solved. Ultimately, display your information graphically/visually so the office can see why you answered your burning question in the way you do and made the choice you made. For example, if your system of equations is designed to determine when to choose Comcast vs. Verizon as a cable company your group should be making a persuasive argument the office about which cable company your group ultimately chose and why your group chose this company. There must also be a visual component associated with your presentation. Some options for the visual component are Animoto, Prezi, Powerpoint, ExplainEverything, Video. (You must get your visual component approved by me)
Remember, a system means two (or more) equations, so typically, a system of equations in the real-world would mean a comparison of two or more, say, companies. Some common examples of systems of equations being used in the real world would be comparing cost per month for Verizon and Comcast Cable Companies, Verizon and AT&T Cell Phone Companies, comparing being a member of Netflix to simply renting movies either via RedBox or On Demand.
Typically, when producing a system of equations in the real-world, the person solving the system has a question they want answered or a dilemma they are faced with, such as, for how many months would be it cheaper to choose Company A over Company B, or for how many minutes would it make more sense to choose Option A over Option B.
Often, as is the case with many real-world situations, a person is trying to decide between choosing a company that might have an installation fee/membership fee (Cost up front) but a lower monthly cost, than a company that does not have an up-front fee, but perhaps has a higher monthly cost.
A) “BURNING QUESTION”
Your group task is to brainstorm real-life situations where you either have encountered or could encounter a situation/question that could be represented and answered by setting up and solving a system of equations. You can continue on with one of the examples listed above, come up with your own (careful, it has to make sense) or even use the internet as a resource to help come up with an example. Formulate the question you want answered. (Which you will answer by setting up and solving a linear system of equations.)
B) SETTING UP THE SYSTEM
Your group will come up with the system of equations to represent the situation you have a come up with by researching all of the necessary information that goes along with this situation. (This might include initial fees, cost per unit…)
C) SOLVE THE SYSTEM
Your group will solve the system using all three methods, graphing, substitution and elimination. (The solution should be the same using all three methods)
D) ANSWER AND PRESENT
Your group will pretend that you are attending an office meeting where it is your job to present your “Burning Question” to an office of professionals, as well as all of the information you learned/uncovered and solved. Ultimately, display your information graphically/visually so the office can see why you answered your burning question in the way you do and made the choice you made. For example, if your system of equations is designed to determine when to choose Comcast vs. Verizon as a cable company your group should be making a persuasive argument the office about which cable company your group ultimately chose and why your group chose this company. There must also be a visual component associated with your presentation. Some options for the visual component are Animoto, Prezi, Powerpoint, ExplainEverything, Video. (You must get your visual component approved by me)