TASK: DENTAL IMPRESSIONS - Achieve

DENTAL IMPRESSIONSTask-to-Mathematical Practice Alignment Recording SheetTaskNameAligned CCSSMathematical Practice StandardsC PAlignment Comments(Standards selection, partial alignments, reasons for rating, etc)Task Comments(Strengths, weaknesses,possible improvements,effectiveness, etc)MP1: Make sense of problems andpersevere in solving them. N/A 3MP2: Reason abstractly andquantitatively. N/A 2MP3: Construct viable argumentsand critique the reasoning of others. N/A 2MP4: Model with mathematics. N/A 3MP6: Attend to precision. N/A 3For this task students analyze givens, constraints,relationships, and goals. They must make conjecturesabout the form and meaning of the solution and plan asolution pathway. They must check the reasonableness oftheir solution, continually asking themselves, “Does thismake sense?” While the task requires routine math, thestudent must persevere to answer all 5 questions.This task involves quantitative relationships. It requiresthat students make sense of quantities and theirrelationships in the problem situation. They must attend tothe meaning of the quantities and pay attention to units asthey represent the quantities in their solution pathway.While strong quantitative reasoning is required, the tasklacks expectations for abstraction.Students are asked for a written recommendation basedon their mathematical findings, but are not asked tocritique the reasoning of others.This task requires that students translate constraints intoequations and extract information from both the algebraicsolution and the graph.Students must use precise units of measure, convert units,label the axes, and perform calculations precisely.Rounding and estimation are a key part of the thinking thatstudents must use to accurately answer the questions.Students need to calculate accurately and express answerswith a degree of precision appropriate for the problem.This is a multi-stageproblem with real lifeapplications andconsiderations.Students must identifyquantities and othermeasures to determinecosts, using practicalsituations, andaccurate quantitativecalculations. They mustsupport theirreasoning at each stepof the process andmake arecommendationbased on theirfindings.9