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Common CoreState Standards forMathematics

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Overview of the Initiative

State-led and developed common core standards for K-12 in English/language arts and mathematics

Focus on learning expectations for students, not how students get there.

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What momentum is there for the initiative?

48 states, the District of Columbia, and two territories have signed on to the Common Core State Standards Initiative

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July 2010South Carolina was the 25th state to adopt Common Core (SBE Approved in July 2010)

Developed by the National Governors Association and the Council of Chief State School Officers

Implement the new standards during the 2013-14 school year, with planning and training carried out during the next two school years.

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SC is currently part of 2 consortia

Smarter Balanced Assessment Consortium (SBAC)

Partnership for Assessment of Readiness for College and Careers (PAARC)

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Assessment will changeBoth consortia plan to use computer-based assessment. (Paper-pencil will be available for a while.)Testing may be computer-adaptive.Both plan to include open-ended and/or constructed response items with computer and human scoring.Money will be saved by teaming up and using computer scoring.Formative, interim, benchmark and summative may/will be included.

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SC is currently part of 2 consortia

Smarter Balanced Assessment Consortium (SBAC)

Lead state- Washington

31 member states

SC would be “Advisory” not “Governing”

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SC is currently part of 2 consortia

Partnership for Assessment of Readiness for College and Careers (PAARC)

Lead state- Florida

25 member states

SC would be “Participating” not “Governing”

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Design and OrganizationStandards for Mathematical Content

K-8 standards presented by grade levelOrganized into domains that progress over several gradesGrade “introductions” give 2–4 focal points at each grade level

High school standards presented by conceptual theme (Number & Quantity, Algebra, Functions, Modeling, Geometry, Statistics & Probability)

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Focal points at each grade level

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Overview Pages

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Fractions, Grades 3–6

3. Develop an understanding of fractions as numbers.4. Extend understanding of fraction equivalence and ordering.4. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.4. Understand decimal notation for fractions, and compare decimal fractions.

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Fractions, Grades 3–6

5. Use equivalent fractions as a strategy to add and subtract fractions.5. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.6. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

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Algebra, Grade 8Focus on linear equations and functions in Grade 8 (ramp up to Algebra)

Expressions and Equations Work with radicals and integer exponents. Proportional relationships, lines, and linear equations. Solve linear equations and pairs of simultaneous

linear equations.

Functions Define, evaluate, and compare functions. Use functions to model relationships between

quantities.

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High SchoolCollege and career readiness threshold

(+) standards indicate material beyond the threshold; can be in courses required for all students.

(+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle

(+) Compose functions.

(+) Understand the inverse relationship between

exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

(+) Add and subtract vectors.

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Design and Organization

High school assessment has not been “pinned down.”Change requires legislative action.

HSAP – no changes for 2010-11, 2011-12, and probably 2012-13Algebra I EOCEP – no changes for 2010-11, 2011-12, and probably 2012-13

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ConclusionThe promise of standards

These Standards are not intended to be new names for old ways of doing business. They are a call to take the next step. It is time for states to work together to build on lessons learned from two decades of standards based reforms. It is time to recognize that standards are not just promises to our children, but promises we intend to keep.

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More Information

Visit www.corestandards.org

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Credit to: http://www.corestandards.org/assets/Common_Core_Standa

rds_June_2010_Webinar_Final_v_2.ppt#410,34,Conclusion

Harriet Pritchard

hpritcha@ed.sc.gov

803-737-4276

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Assessment Issues

Definition of “Regular” polygons

Inequalities with or Sum of probabilities = one whole (complements)

“Corresponding” parts of similar shapes addressed in focus of Grade 7 but no standard lists it