Performance Task Items for Standard Title Focused Information: Standard: (List the Standard being measured by the constructed response. Use the naming convention provided.) 7.RP.2, 7.EE.4 Learning Targets: (List the learning targets/supporting standard(s) that reflect what the standard requires the student to know and do when it is broken down into “chunks of learning.” Student will be able to: I can identify the unit rate in tables, graphs, equations, and verbal descriptions of proportional relationships. I can use variables to solve equations. I can use variables to construct equations. Learning Target 4 Mastery 3 Approaching Mastery 2 Proficient 1 Approaching Proficiency 0 Basic 7.RP.2 I can identify the unit rate in tables, graphs, equations, and verbal descriptions of proportional relationships. Student is able to use the unit rate to accurately create a table, graph, and equation from a verbal description. Student is able to use the unit rate to accurately create a table OR graph from a verbal description. Student is able to identify the unit rate in tables, graphs, equations, and verbal descriptions of proportional relationships. Student understands that a unit rate is also the constant rate and can identify it in tables, graphs, equation, OR verbal descriptions. Student does not understand unit rate and/or cannot identify it in any form yet. 7.EE.4 I can use variables to construct equations. Given an equation, student is able to provide a description that fits the parameters of the equation. Student is able substitute quantities for correct variables in the equation they created. Student is able to use variables to construct equations Student is unable to identify variables and/or cannot recognize any form of an equation 7.EE.4 I can use variables to solve equations. Given an equation, student is able to provide a description that fits the parameters of the equation. Student is able to check the validity of the solution. Student is able to use variables to solve equations Student is able to correctly identify variables but is unable to consistently construct an equation correctly assigning the dependent and independent variables. Student is able to correctly identify variables but is unable to consistently solve an equation Student is unable to identify variables and/or cannot recognize any form of an equation Performance Task Items for Standard Title Student Sheet with directions and Performance Task Items Name_______________________ Date_______________________Teacher__________________________ Students want to have a dance at our school. When asked, most students responded that they would like to hire a professional DJ. Five DJ’s sent information about their cost. DJ 1 charges a fee of $175. DJ2 charges a $50 set up fee plus $15 per hour. DJ3 charges $44 per hour. The cost for a DJ4 is provided in the table. DJ5 sent a graph that describes his cost Part 1. Complete the table below based upon the information for each DJ. Hours 0 DJ1 DJ2 DJ3 DJ4 $0 $55 $110 $165 $220 DJ5 Graph of DJ5 Cost 200 180 160 Cost in Dollars 140 120 100 80 60 40 20 0 1 2 3 4 5 6 Time in hours 7 8 9 10 Performance Task Items for Standard Title Part 2. Calculate the unit rate for DJ3 and DJ4. Part 3. Create a graph displaying each DJs cost. Label each axis appropriately. ` Performance Task Items for Standard Title Part 4. Create an equation that calculates the cost (c) for each situation based upon how long the dance will last in hours (h) for each DJ. Part 5. Using the equations from Part 4, if the dance lasts 3 hours, which DJ would be the best value? Part 6. DJ Dr. G heard about the dance and quoted a price based upon the equation C = 15 + 22h. Explain how this equation can be used to calculate the total of DJ Dr. G. ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ Performance Task Items for Standard Title Teacher Notes and Answer Key Learning Target 4 Mastery 3 Approaching Mastery 2 Proficient 1 Approaching Proficiency 0 Basic 7.RP.2 I can identify the unit rate in tables, graphs, equations, and verbal descriptions of proportional relationships. Student is able to use the unit rate to accurately create a table, graph, and equation from a verbal description. Student is able to use the unit rate to accurately create a table OR graph from a verbal description. Student is able to identify the unit rate in tables, graphs, equations, and verbal descriptions of proportional relationships. Student understands that a unit rate is also the constant rate and can identify it in tables, graphs, equation, OR verbal descriptions. Student does not understand unit rate and/or cannot identify it in any form yet. School Dance Problem Part 1 Correct table Part 3 Graph Correctly Part 4 Correct Equations Part 1 or Part 3 Completed correctly Part 2 DJ3 $44/hour DJ4 $55/hour Part 6 Identify correct rate as $22/hour Part 1, Part 2, or Part 3 partially or completed correct. Unable to do Part 1, Part 2, or Part 3. 7.EE.4 I can use variables to construct equations. Given an equation, student is able to provide a description that fits the parameters of the equation. Student is able substitute quantities for correct variables in the equation they created. Student is able to use variables to construct equations Student is able to correctly identify variables but is unable to consistently construct an equation correctly assigning the dependent and independent variables. Student is unable to identify variables and/or cannot recognize any form of an equation School Dance Problem Part 6 Student is able to recognize that there is an initial charge of $15 that increases by $22 every hour. Given an equation, student is able to provide a description that fits the parameters of the equation. Part 5 DJ1 $175=$175 DJ2 $95 =50+15(3) DJ3 $132=44(3) DJ4 $165=55(3) DJ5 $160=40+40(3) Part 4 DJ1 c=175 DJ2 c=50+15h DJ3 c=44h DJ4 c=55h DJ5 c 40+40h Part 4 Student constructed equations however they are not accurate. Part 4 Student made no attempt. Student is able to check the validity of the solution. Student is able to use variables to solve equations Student is able to correctly identify variables but is unable to consistently solve an equation Student is unable to identify variables and/or cannot recognize any form of an equation Part 6 Student is able to recognize that there is an initial charge of $15 that increases by $22 every hour. Part 5 DJ1 $175 DJ2 $95 DJ3 $132 DJ4 $165 DJ5 $160 Part 5 DJ1 $175=$175 DJ2 $95 =50+15(3) DJ3 $132=44(3) DJ4 $165=55(3) DJ5 $160=40+40(3) Part 5 Student makes an attempt but is unable to solve all of the equations. Part 5 Student made very little or no attempt 7.EE.4 I can use variables to solve equations. School Dance Problem