1. Teacher’s Guide to the PARCC Model Content Frameworks for High School Mathematics October 16, 2012 Heather Brown Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

2. Objectives Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License To discover the elements of the Model Content Frameworks To use the Model Content Frameworks to aid in the implementation of the Common Core State Standards for Mathematics.

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4. Poll #1 Find the mean of 18, 18, 20, 21 and 28 A.10 B.18 C.19 D.20 E.21 Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

5. Poll #1 Find the mean of 18, 18, 20, 21 and 28 A.10 B.18 C.19 D.20 E.21 Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

6. Poll #2 What statistical measurement would most closely represent the potential pay of a new clerk if there are ten clerks who all make about the same amount and a manager who makes ten times as much? A.Range B.Mean C.Median D.Mode Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

7. Poll #2 What statistical measurement would most closely represent the potential pay of a new clerk if there are ten clerks who all make about the same amount and a manager who makes ten times as much? A.Range B.Mean C.Median D.Mode Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

9. Key Advances of the Common Core Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License ANCHORED IN COLLEGE AND CAREER READINESS Slide from PARCC 2012

10. Focus and Coherence Time Discussion Interactions Connections NOT a checklist Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

11. Slide from PARCC 2012

12. High School Pathways

13. Things to Consider Appendix A vs. PARCC MCF 2011 MCF Draft vs. 2012 Final MCF Standards don’t change Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

14. PARCC Model Content Frameworks Purpose Support implementation Inform development of item specifications and PARCC assessments Audience Curriculum directors Teachers and administrators Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

15. Key Elements of the PARCC Model Content Framework 15 High School Course Individual End of Course Overviews Pathway Summary Tables Assessment Limits Tables for Standards Assessed in More than One Course Mathematical Practices in Relation to Course Content Key Advances Fluency Recommendations

16. Individual End of Course Overviews Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Individual End of Course Overviews

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21. Key Advances from the Previous Grades or Courses Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Key Advances

22. Key Advances to Geometry Because concepts such as rotation, reflection, and translation were treated in the grade 8 standards mostly in the context of hands-on activities, and with an emphasis on geometric intuition, high school Geometry will put equal weight on precise definitions. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

23. Discussion of Mathematical Practices in Relation to Course Content Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Mathematical Practices in Relation to Course Content

24. Connecting Content and Practice: Algebra II MP7 Look for and make use of structure Delve deeper into transforming expressions that reveal meaning Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

25. How would you assess practices and content? http://www.parcconline.org/samples/mathematics/high- school-seeing-structure-equationhttp://www.parcconline.org/samples/mathematics/high- school-seeing-structure-equation Claim A Students solve problems involving the major content for their grade level with connections to practices. A.SSE Seeing structure in expressions Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

26. How would you assess practices and content? http://www.parcconline.org/samples/mathematics/high- school-functionshttp://www.parcconline.org/samples/mathematics/high- school-functions Claim A Students solve problems involving the major content for their grade level with connections to practices. F.IF.9 Compare properties of two functions each represented in a different way. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

27. Fluency Recommendations Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Fluency Recommendations

28. Fluency F.IF.3 Fluency in translating between recursive definitions and closed forms is helpful when dealing with many problems involving sequences and series, with applications ranging from fitting functions to tables to problems in finance. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

29. Pathway Summary Tables Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Pathway Summary Tables

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31. Assessment Limits Tables for Standards Assessed on More than One End-of-Course Test Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Assessment Limits Tables for Standards Assessed in More than One Course

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34. Slide from PARCC 2012

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38. Progressionshttp://ime.math.arizona.edu/progressions/ Avoid Crosswalks Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License