Sample Assessment # Learning Objective Assessment Item 1 Students will create graphical You are to do some yard work to earn money to pay for a summer representations of linear road trip. You need to earn at least $500 total. You can make $10 for equations and inequalities. every garden that you weed and $15 for every lawn that you mow. Also, you know that you can mow at least 10 lawns (your parents and a couple of neighbors have already agreed to hire you). Set up and graph a system of inequalities to represent this situation. Name a lawn-garden combination that will earn you enough money for your road trip. 2 Students will use algebraic "Solve the following systems of equations algebraically: methods (i.e. substitution and adding/subtracting) to solve 2x + 5y = 12 systems of equations. 5y = 4x + 6 5x - 4y = 27 - 2x + y = 3 12x - 7y = - 2 - 8x + 11y = 14" 3 Given a system of equations, Solve this system algebraically and represent your solution graphically. students will solve and represent y-3x=-2 the solution in multiple ways. y-6=4x 4 Students will construct a system Steve has twice as much money as Sarah. If Sarah gives Steve $20, they of equations to represent a word will have the same amount. How much money do Steve and Sarah have problem. individually? 5 Students will explain how the Given that a system of equations that has no solutions, what will the graphical representation of a graphs of the two lines look like? What about a system that has infinitely system of equations indicates the many solutions? Can a system of linear equations have exactly 2 number of solutions to a system. solutions?
Sample Assessment # Learning Objective Assessment Item 1 Students will create graphical representations of linear equations and inequalities. You are to do some yard work to earn money to pay for a summer road trip. You need to earn at least $500 total. You can make $10 for every garden that you weed and $15 for every lawn that you mow. Also, you know that you can mow at least 10 lawns (your parents and a couple of neighbors have already agreed to hire you). Set up and graph a system of inequalities to represent this situation. Name a lawn-garden combination that will earn you enough money for your road trip. 2 Students will use algebraic methods (i.e. substitution and adding/subtracting) to solve systems of equations. "Solve the following systems of equations algebraically: 2x + 5y = 12 5y = 4x + 6 5x - 4y = 27 - 2x + y = 3 12x - 7y = - 2 - 8x + 11y = 14" 3 Given a system of equations, students will solve and represent the solution in multiple ways. Solve this system algebraically and represent your solution graphically. y-3x=-2 y-6=4x 4 Students will construct a system of equations to represent a word problem. Steve has twice as much money as Sarah. If Sarah gives Steve $20, they will have the same amount. How much money do Steve and Sarah have individually? 5 Students will explain how the graphical representation of a system of equations indicates the number of solutions to a system. Given that a system of equations that has no solutions, what will the graphs of the two lines look like? What about a system that has infinitely many solutions? Can a system of linear equations have exactly 2 solutions?
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