NYS COMMON CORE MATHEMATICS CURRICULUM A Story of

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Taking a Look at Rigor © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Session Objectives • • Examine rigor from an assessment perspective. Examine Mid-Module and End-of-Module Assessment Tasks for G 2—M 3 and or G 5—M 3, including the accompanying rubrics and samples of student work. Explore PARCC Type I, Type II, and Type III tasks and compare them to problems in G 2—M 3 and G 5—M 3 and show the tasks in our modules thoroughly address the PARCC Type II and Type III tasks. Analyze the rigor evident in the assessment tasks. 2 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA Score, Analyze, and Plan using the Grade 2 Mid- Module Assessments Score, Analyze, and Plan using the Grade 5 End-of. Module Assessments Examine PARCC Type I, II, and III Tasks Compare Assessment Tasks to PARCC Tasks 3 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units G 2—M 3 Mid-Module Assessment Task 4 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units G 2—M 3 Mid-Module Assessment Task • Complete the G 2 -M 3 Mid-Module Assessment Task as you think a student might solve the problem. • Compare your solution to that of a colleague. 5 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Assessment Tasks in A Story of Units 6 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Assessment Tasks in A Story of Units 7 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units G 2—M 3 Mid-Module Assessment Task Progression Towards Mastery Chart 8 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units G 2—M 3 Mid-Module Assessment Task Scoring Rubric 9 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Score using the rubric • Score your own work using the rubric. 10 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Analyze the Task What makes the assessment task rigorous? • What fluencies are required? • What conceptual understandings are required in the task? • What mathematical practices are evidenced in this task? 11 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Analyze and Score the Student Work • Use the scoring rubric and the Progress Toward Mastery Chart to score and analyze Christopher, Jessica, and Jackson’s work. 12 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Plan Based on the Results • How can the student work be used to inform and/or modify instruction? • How can the student be empowered by an assessment task? 13 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA Score, Analyze, and Plan using the Grade 2 Mid- Module Assessments Score, Analyze, and Plan using the Grade 5 End-of. Module Assessments Examine PARCC Type I, II, and III Tasks Compare Assessment Tasks to PARCC Tasks 14 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units G 5—M 3 End-of-Module Assessment Task • Complete the G 5 -M 3 End-of-Module Assessment Task. • Score your work using the rubric. • Score student work using the rubric. 15 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Analyze the Task What makes the assessment task rigorous? • What fluencies are required? • What conceptual understandings are required in the task? • What mathematical practices are evidenced in this task? 16 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Plan Based on the Results • How can the student work be used to inform and/or modify instruction? • How can the student be empowered by an assessment task? 17 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Protocol Notes • Both assessments are about ½ class period in Grade 2, about 1 class period in Grade 5 and are independently completed by the students without assistance. • The assessment tasks should be new to students and not preceded by analogous problems. 18 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA Score, Analyze, and Plan using the Grade 2 Mid- Module Assessments Score, Analyze, and Plan using the Grade 5 End-of. Module Assessments Examine PARCC Type I, II, and III Tasks Compare Assessment Tasks to PARCC Tasks 19 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units PARCC Tasks • Both the mid-module and end-of-module assessments prepare students for PARCC assessments. 20 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units PARCC Type I Tasks • Assess concepts, skills and procedures • Include a balance of conceptual understanding, fluency, and application • Can involve any or all mathematical practice standards • Are machine-scored including innovative, computerbased formats 21 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units PARCC Type I Tasks 22 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units PARCC Type I Tasks 23 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units PARCC Type II Tasks • Assess ability to express mathematical reasoning • Call for written arguments/justifications, critique of reasoning, or precision in mathematical statements (MP. 3, MP. 6) and can involve other mathematical practice standards • Are hand-scored, or machine-scored with innovative computer-based formats, or a combination 24 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units PARCC Type II Tasks 25 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units PARCC Type III Tasks • Assess modeling/applications • Call for modeling/application in a real-world context or scenario (MP. 4) and can also involve other mathematical practice standards • Are hand-scored, machine-scored with innovative computer-based formats, or a combination 26 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA Score, Analyze, and Plan using the Grade 2 Mid- Module Assessments Score, Analyze, and Plan using the Grade 5 End-of. Module Assessments Examine PARCC Type I, II, and III Tasks Compare Assessment Tasks to PARCC Tasks 27 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Comparing Module Tasks to PARCC Tasks We have explored: • Grade 2—Module 3 Mid-Module Assessment • Grade 5—Module 3 End-of-Module Assessment 28 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Guiding Questions • How do the assessment tasks reflect the PARCC item types? 29 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points • • Rigor is an intense balance of procedural skill and fluency, conceptual understanding, and application. Assessment tasks in A Story of Units • Are similar to problems on The Illustrative Mathematics Project and PARCC sample tasks, preparing students for PARCC assessments • Address multiple content and practice standards • Provide formative information • Give a detailed insight into students’ thinking, reasoning, and understanding 30 © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Next Steps • What are next steps for you and your team for implementing rigorous PARCC aligned assessments in your schools? 31 © 2012 Common Core, Inc. All rights reserved. commoncore. org