Transcript 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.

Teacher’s Guide to the PARCC
Model Content Frameworks for
High School Mathematics
October 16, 2012
Heather Brown
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Objectives
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 #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
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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
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Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License
Key Advances of the Common Core
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
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Unported
License
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 the
PARCC Model Content Framework
Key
Advances
Individual
End of
Course
Overviews
Fluency
Recommendations
High
School
Course
Mathematical Practices in Relation to Course
Content
15
Pathway
Summary
Tables
Assessment
Limits Tables
for Standards
Assessed in
More than
One Course
Individual End of Course
Overviews
Green – major
Individual
End of
Course
Overviews
Blue – supporting
– additional
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Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License
Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License
Key
Advances
Key Advances from the Previous
Grades or Courses
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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
Mathematical Practices in Relation to Course
Content
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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/highschool-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/highschool-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
Fluency Recommendations
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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
Pathway
Summary
Tables
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Assessment Limits Tables for
Standards Assessed on More
than One End-of-Course Test
Assessment
Limits Tables
for Standards
Assessed in
More than
One Course
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Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License
Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License
Slide from PARCC 2012
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MAJOR, SUPPORTING and
Inform instructional resources
Evaluate instructional materials
Do NOT sort and teach in order
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Progressions
http://ime.math.arizona.edu/progressions/
Avoid Crosswalks
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