have provided an solution and both with equation with a positive slope. negative slope. b Student was unable Student identified the N/A Student correctly to identify the multiple as 3. identified the multiple multiple correctly. as 2. A-REI.6 c Student was unable Student showed some Student made a minor Student successfully to demonstrate even reasoning required to error in finding the identified the solution a partial find the solution but solution point. point as . A-REI.6 understanding of made multiple errors. how to find the solution to the system. d Student was unable Student concluded yes Student correctly Student correctly to answer or to or no but was only explained that all the explained that while in support the answer able to express limited systems would have most cases this is true, A-REI.5 with any solid reasoning in support the solution point but that if , the two lines A-REI.6 reasoning. of the answer. incorrectly assumed are coinciding lines, A-REI.10 this is true for all cases resulting in a solution of . set consisting of all the points on the line. 12 a Student was unable Student was only able Student provided two Student was able to to articulate any to articulate one reasons but made articulate at least 2 sound reasons. sound reason. minor errors in the valid reasons. Valid MP.2 expression of reasons include the A-REI.12 reasoning. following: the graph assumes x could be less than zero, the graph assumes y could be less than zero, the graph assumes a and b could be non-whole numbers, the graph assumes 160 children could attend with no adults.
have provided an equation with a negative slope. solution and both with positive slope. b A-REI.6 Student was unable to identify the multiple correctly. Student identified the multiple as 3. N/A Student correctly identified the multiple as 2. c A-REI.6 Student was unable to demonstrate even a partial understanding of how to find the solution to the system. Student showed some reasoning required to find the solution but made multiple errors. Student made a minor error in finding the solution point. Student successfully identified the solution point as . d A-REI.5 A-REI.6 A-REI.10 Student was unable to answer or to support the answer with any solid reasoning. Student concluded yes or no but was only able to express limited reasoning in support of the answer. Student correctly explained that all the systems would have the solution point but incorrectly assumed this is true for all cases of . Student correctly explained that while in most cases this is true, that if , the two lines are coinciding lines, resulting in a solution set consisting of all the points on the line. 12 a MP.2 A-REI.12 Student was unable to articulate any sound reasons. Student was only able to articulate one sound reason. Student provided two reasons but made minor errors in the expression of reasoning. Student was able to articulate at least 2 valid reasons. Valid reasons include the following: the graph assumes x could be less than zero, the graph assumes y could be less than zero, the graph assumes a and b could be non-whole numbers, the graph assumes 160 children could attend with no adults.