teacher’s guide to the parcc model content frameworks for high school mathematics october 16, 2012...
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Teacher’s Guide to the PARCC Model Content Frameworks for
High School MathematicsOctober 16, 2012
Heather Brown
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Objectives
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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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Poll #1
Find the mean of 18, 18, 20, 21 and 28
A. 10
B. 18
C. 19
D. 20
E. 21
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Poll #1
Find the mean of 18, 18, 20, 21 and 28
A. 10
B. 18
C. 19
D. 20
E. 21
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Poll #2What 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
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Poll #2What 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
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Key Advances of the Common Core
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MATHEMATICS
Focus, coherence and clarity: emphasis on key topics at each grade level and coherent progression across grades
Balance between procedural fluency and understanding of concepts and skills
Promote rigor through mathematical proficiencies that foster reasoning and understanding across discipline
ANCHORED IN COLLEGE AND CAREER READINESS
Slide from PARCC 2012
Focus and Coherence
Time
Discussion
Interactions
Connections
NOT a checklist
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Slide from PARCC 2012
High School Pathways
Things to Consider
• Appendix A vs. PARCC MCF• 2011 MCF Draft vs. 2012 Final MCF• Standards don’t change
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PARCC Model Content Frameworks
Purpose• Support implementation • Inform development of item specifications and PARCC
assessments
• Audience• Curriculum directors• Teachers and administrators
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Key Elements of thePARCC Model Content Framework
15
High SchoolCourse
IndividualEnd 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
Individual End of Course Overviews
Green – major
Blue – supporting
Yellow – additional
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IndividualEnd of Course
Overviews
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Key Advances from the Previous Grades or Courses
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Key Advances
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.
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Discussion of Mathematical Practices in Relation to Course
Content
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Mathematical Practices in Relation to Course Content
Connecting Content and Practice: Algebra II
MP7 Look for and make use of structure
Delve deeper into transforming expressions that reveal meaning
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How would you assess practices and content?
• http://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
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How would you assess practices and content?
• http://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.
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Fluency Recommendations
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Fluency Recommendations
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.
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Pathway Summary Tables
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Pathway Summary
Tables
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Assessment Limits Tables for Standards Assessed on More than One End-of-Course Test
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Assessment Limits Tables for Standards Assessed in More than
One Course
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Slide from PARCC 2012
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MAJOR, SUPPORTING and ADDITIONAL Inform instructional resources
Evaluate instructional materials
Do NOT sort and teach in order
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Progressionshttp://ime.math.arizona.edu/progressions/
Avoid Crosswalks
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