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Common Core State Standards for Mathematics: Illustrating the 3 Shifts

Common Core State Standards for Mathematics: Illustrating the 3 Shifts. K-1 Common Core Lead Teachers Spring 2012. The Three Shifts in Mathematics. Focus strongly where the standards focus Coherence : Think across grades and link to major topics within grades

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Common Core State Standards for Mathematics: Illustrating the 3 Shifts

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  1. Common Core State Standards for Mathematics: Illustrating the 3 Shifts K-1 Common Core Lead Teachers Spring 2012

  2. The Three Shifts in Mathematics • Focus strongly where the standards focus • Coherence: Think across grades and link to major topics within grades • Rigor: Require conceptual understanding, fluency, and application

  3. Focus • The current U.S. curriculum is ‘a mile wide and an inch deep.’ • Focus is necessary in order to achieve the rigor set forth in the standards • Remember Hong Kong example: more in-depth mastery of a smaller set of things pays off

  4. Illustrating ActivityShift #1: Focus

  5. The overview is first page of each grade level in the standards • This page includes: • Domains • Clusters • Mathematical Practices

  6. Smarter Balanced Content Specifications, Appendix A • PARCC Model Content Framework

  7. The overview is first page of each grade level in the standards • This page includes: • Domains • Clusters • Mathematical Practices

  8. Smarter Balanced Content Specifications, Appendix A • PARCC Model Content Framework

  9. Focus – Major Work of the Grade • Read the introductory paragraphs and the content emphases by cluster • Review the provided textbook Table of Contents. Highlight the chapters that are included in the major work of the grade. • In each of the next 3 years, incremental changes will be made to the pacing guides to allow more time for mastery of the major work of the grade

  10. Coherence • Carefully connect the learning within and across grades so that students can build new understanding onto foundations built in previous years. • Begin to count on solid conceptual understanding of core content and build on it. Each standard is not a new event, but an extension of previous learning.

  11. Illustrating ActivityShift #2: Coherence

  12. Coherence – Examine a progression • The standards are carefully sequenced • Mastery of the major work of the grade is required for success in the next grade • Sequence the standards into grade levels • Discuss why it is essential that the major work of each grade is taught to mastery

  13. Rigor • Rigor requires a balance of conceptual understanding, procedural skill and fluency, and application. • Equal time, activities and resources must be allocated to all 3 for mastery of mathematics.

  14. Illustrating ActivityShift #3: Rigor

  15. Rigor – Match each standard to • Solid conceptual understanding • Procedural skill and fluency • Application of skills in problem solving situations

  16. And finally… Can you name and describe the 3 shifts?

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