Smarter Balanced Mathematics Assessments. Agenda. U n d e rstand i ng the C o ntent of the Grade 1 1 S ummative Mathematics Ass e ssment E x p l ori n g Inno v ative W ays to U s e T ec h n o l o gy to Measure, C a pture, & Sc o re M athematical R e aso n i n g - PowerPoint PPT Presentation
Smarter BalancedMathematics AssessmentsAgendaUnderstanding the Content of the Grade 11 SummativeMathematics AssessmentExploring Innovative Ways to Use Technology toMeasure, Capture, & Score Mathematical ReasoningUpdates on Mathematics Performance TasksDRAFT Calculator PolicyUnderstanding the Smarter BalancedGrade 11 Summative Mathematics AssessmentStudents can demonstrate progress toward college and careerreadiness in mathematics.
Students can demonstrate college and career readiness in mathematics.Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency.
Students can solve a range of complex well-posed problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies.
Students can clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.
Students can analyze complex, real-world scenarios and can construct and use mathematical models to interpret and solve problems.Overall Claim for Grades 3-8
Overall Claim for Grade 11Claim #1 - Concepts & ProceduresClaim #2 - Problem Solving Claim #3 - CommunicatingReasoning
Claim #4 - Modeling and Data AnalysisMathematics Claims
Why should the grade 11 assessmentdraw on content from earlier than grade 9?Source: Common Core State Standards for MathematicsCSSM, p. 84:
some of the highest priority content for college and career readiness comes from Grades 6-8. This body of material includes powerfully useful proficiencies such as applying ratio reasoning inreal-world and mathematical problems, computing fluently with positive and negative fractions and decimals, and solving real-world and mathematical problems involving angle measure, area, surface area, and volume.Alignment of the Smarter Balancedthe Common Core State Standards for MathematicsSummative Content Specifications
Tasks generating evidence for Claim #2 in a given grade will draw upon knowledge and skills articulated in the progression of standards up through that grade, though more complex problem-solving tasks may draw upon knowledge and skills from lower grade levels.Source: Content Specifications for the summative assessment ofHow has Smarter Balanced used the research andthe information in the Publishers Criteria?
Claim 1 (Concepts and Procedures) has 16 targets in high school, which correspond to 16 CCSS-M clusters with relatively high importance for College & Career.High school standards that do not appear as a separate target in Claim 1 or on the lists for Claims 2, 3, & 4 (in the following slides) will NOT be measured on the grade 11 summative assessment.Claim #2: Students can solve a range of complex well-posed problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies.Claim #3: Students can clearly and precisely construct viable argumentsto support their own reasoning and to critique the reasoning of others.Claim #4 - Students can analyze complex, real-world scenarios and can construct and use mathematical models to interpret and solve problems.Rationale for not measuring everystandard on the grade 11 summative
Content identified for the assessment is based on research related to prerequisite skills for college-and- career readinessAllow states to make good decisions about how to structure the content across high school, including options that spread the standards across four years instead of three
Example of content not measured on Grade 11 summativeG.C.A Understand and apply theorems about circlesG.C.A.1 Prove that all circles are similar.Pushing the Limits on Measuring Mathematical Reasoning in AssessmentWhy is capturing students reasoning soimportant?On the CMT [Connecticut Mastery Test], I work and work and work on a problem. Then I go to fill in my answer and its not there. But this test [Smarter Balanced pilot] let me tell how I solved it.
-- Grade 3 student from Wethersfield, CT, when asked by the district math coordinator to give feedback on the Smarter Balanced math pilotBut capturing and scoring students mathematical reasoning via technology is easiersaid than done.Chloe is responsm le for making 32 centerpieces for the tables at this year 's :&ehool prom She v.riU place 8-inch tall cylindiica] cand es into pr -m v cs of the same height. Then she wi11 fill the space between the candles and the vases halfwary with biuc sand.
4.5 in.vase.. - - --.... -...-'5.0 in.
Sand is so!ld in 240 cubic inch baat $4.79 per bag.How much Will Chloe spend on the sand to create 32 centerpieces? Show your work or explain 'how yon found )'Our answer.8.0 in.cl ' ' % o...Y't\ of lthuit