Intel SBAC Item Writing Template for Sharing Item Metadata Description Item Writer’s Name and District Karen Barefield & Jeff Mihovilovich, Seattle SSD Primary Claim Claim 3: Communicating Reasoning Students can clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others. Assessment Targets 3 E: Distinguish correct logic or reasoning from that which is flawed and—if there is a flaw in the argument—explain what it is. 3 F: Base arguments on concrete referents such as objects, drawings, diagrams, and actions. CCSS Standards A.REI-12 Mathematical Practices 3, 6 Primary Content Domain Algebra Item Type CR DOK 3 Bart attempted to graph the linear inequality 3x + 4y > 12. His graph is shown below. 15 10 5 Item Stimulus and Stem 0 -10 -5 0 5 10 15 -5 -10 Bart graphed the inequality incorrectly. What mistake(s) did he make? Justify your response. Adapted from the SBAC Item Tagging Template for the Intel SBAC Item Writing Workshop, February/March 2013 Intel SBAC Item Writing Template for Sharing Correct Response/ Distractors Bart made two mistakes when graphing the inequality. First, he drew a solid line when he should have used a dashed or broken line since this is a strict inequality. Second, he shaded the region below the line when he should have shaded the region above the line. When written in slope-intercept form the inequality is y > –0.75x + 3. Because the y-value must be greater than the value of –0.75x + 3, the region above the line must be shaded. 2 points: The student has a solid understanding of how to clearly and precisely construct a viable argument to support his/her own reasoning for identifying errors in graphing an inequality. The student clearly identifies the two mistakes in the given graph, and the student clearly explains, with reference to the inequality, why each is a mistake. Score Points/Rubric 1 point: The student has some understanding of how to clearly and precisely construct a viable argument to support his/her own reasoning for identifying errors in graphing an inequality. The student identifies the two mistakes in the graph, but demonstrates some flawed or incomplete reasoning when explaining why each is a mistake. Or, the student clearly identifies and explains, with reference to the inequality, only one of the two mistakes in the given graph. 0 points: The student demonstrates inconsistent understanding of how to clearly and precisely construct a viable argument to support his/her own reasoning for identifying errors in graphing an inequality. The student does not identify either mistake in the graph or the student correctly identifies one or more mistakes but does not explain, with reference to the inequality, why either is a mistake. Adapted from the SBAC Item Tagging Template for the Intel SBAC Item Writing Workshop, February/March 2013