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Common Core State Standards K-5
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July 2015
A Little History
1989: NCTM’s Curriculum and Evaluation Standards
2000: NCTM’s Principles and Standards for School Mathematics
2006: NCTM’s Curriculum Focal Points – Standards Clarification Document (NJ)
2008: National Math Advisory Panel Report2010: Common Core State Standards
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What We Have Learned about Mathematics Education Students must learn basics, but knowing
the basics alone is not enough. Learning mathematics with understanding
is essential to enable students to solve new problems.
Students learn mathematics primarily by doing mathematics rather than just listening and memorizing.
Intro to Common Core https://www.teachingchannel.org/videos/
common-core-state-standards-elementary-school
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Goals of Common CoreProvide a consistent, clear understanding of
what students are expected to learn, so teachers and parents know what they need to do to help them.
Be robust and relevant to the real world, reflecting the knowledge and skills that our young people need for success in college and careers.
Prepare students for the future, our communities will be best positioned to compete successfully in the global economy.
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FocusCoherence ClaritySpecificity
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Grade-Level Standards (Content) K-8 grade-by-grade standards organized by
domain 9-12 high school standards organized by
conceptual categories
Common Core State Standards for Mathematics
Standards for Mathematical Practice Describe mathematical “habits of mind” What good mathematicians do Connect with content standards in each
grade
CCSS Domain Progression
K 1 2 3 4 5 6 7 8 HS
Counting & Cardinality
Number and Operations in Base TenRatios and Proportional
Relationships Number & QuantityNumber and Operations –
FractionsThe Number System
Operations and Algebraic Thinking
Expressions and Equations Algebra
Functions Functions
Geometry Geometry
Measurement and Data Statistics and ProbabilityStatistics & Probability
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Format of K-8 Mathematics Standards
Domains: overarching ideas that connect topics across the grades
Clusters: illustrate progression of increasing complexity from grade to grade
Standards: define what students should know and be able to do at each grade level
Big IdeasK-2:
Addition & SubtractionPlace Value & 10
Grades 3-6: Multiplication &
DivisionFractionsDecimals
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Grades 7-8: PercentsAlgebra
High School: Modeling
CCSS Mathematical Practices1. Make sense of problems and persevere in
solving them.2. Reason abstractly and quantitatively.3. Construct viable arguments and critique the
reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically.6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in repeated
reasoning.
Balanced Math
Fact Fluency ConceptualUnderstanding
Problem Solving
What’s the Bottom Line?
Less likely to retain information
More likely to retain information
Isolated Basic Skills
Connected Facts Contextual Setting
Use Technology
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The Geometry of Chocolate
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