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Common Core State Standards 9-12

Common Core State Standards 9-12. Overview Dr Kwaku Adu-Gyamfi Stefanie Smith . Introductory Activity. Introductory Activity. Work with your group Who did you work with? What did you learn about them? Their knowledge of mathematics Their problem solving techniques

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Common Core State Standards 9-12

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  1. Common Core State Standards9-12 Overview Dr KwakuAdu-Gyamfi Stefanie Smith

  2. Introductory Activity

  3. Introductory Activity • Work with your group • Who did you work with? • What did you learn about them? • Their knowledge of mathematics • Their problem solving techniques • Their mathematical preferences? • Present your Solutions

  4. Possible Solution

  5. Extension Problem

  6. Extension Problem

  7. Discussion • Mathematics involved in the task • Pedagogy experienced • Connecting task to CCSSM and the mathematical Practices • Adjusting the task for your class needs

  8. Foundational overview of the CCSSM • Goal • Identify the domains, clusters and concept categories included in the standards • Identify and connect the standards for mathematical practice to the National Council of Teachers of Mathematics process standards

  9. Common Core State Standards? • Aligned with college and work expectations • Maintains focus on what matters most for readiness • Include rigorous content and application of knowledge through high-order skills • Build upon strengths and lessons of current state standards • Internationally benchmarked so that all students are prepared to succeed in our global economy and society • State led

  10. General overview of What the standards Define Focus and coherence Focus on key topics at each grade level. Coherent progressions across grade levels. Balance of concepts and skills Content standards require both conceptual understanding and procedural fluency. Mathematical practices Foster reasoning and sense-making in mathematics. College and career readiness Level is ambitious but achievable.

  11. What the Standards do NOT define How teachers should teach All that can or should be taught The nature of advanced work beyond the core The interventions needed for students well below grade level The full range of support for learners and students with special needs Everything needed to be college and career ready

  12. Standards: Important but insufficient • NC Themes • Algebra Theme • Geometry Theme • Functions Theme • Statistics Theme • NC Curriculum • MATH1 /MATH2 • Algebra1/Algebra2 • Integrated To be effective in improving education and getting all students ready for college, workforce training, and life, the Standards must be partnered with a content-rich curriculum and robust assessments, both aligned to the Standards.

  13. STANDARDS FOR HIGH SCHOOL MATHEMATICS 9-12

  14. Part 1 Standards for mathematical content

  15. Design and Organization CCSS= Math content + Math practices Standards for Mathematical Content • Defines what students should understand and be able to do (conceptual categories) Standards for Mathematical Practice • Describes habits of mind of a mathematically proficient student

  16. High School: Standards for mathematical Content • Organized by conceptual categories • The big ideas that connect mathematics across high school • Number and Quantity • Algebra • Functions • Modeling • Geometry • Statistics and Probability • Elaborated through domains, clusters and standards

  17. College Readiness Connection • Linear Algebra • Calculus • Abstract Algebra • Introduction to proof • Geometry • Statistics and Probability • Number and Quantity • Algebra • Functions • Modeling • Geometry • Statistics and Probability College High School

  18. Common Core Language Domain Content standard Cluster

  19. Common Core Language • Domains: are larger groups that progress across grades (Big Idea) • Content standards: defines what students should understand and be able to do with the big idea (Objectives) • Clusters are groups of related standards (content needed to be covered for the said objective)

  20. Domain content clusters Cycle

  21. Domain content clusters Class Activity • Work with your partner (from the race track activity) • Go to the function section of the common core (CCSSM) document • Pick out a domain, identify the standards and clusters associated with the domain • Create a chart/visual or concept map that helps address the connection between Domain Content Clusters • Color code your chart… • Post your Chart Paper • Gallery Walk…

  22. Part 2 Standards for mathematical practices

  23. Standards for mathematical practice • Make sense of problems and persevere in solving them • Reason abstractly and quantitatively • Construct viable arguments and critique the reasoning of others • Model with mathematics • Use appropriate tools strategically • Attend to precision • Look for and make use of structure • Look for an express regularity in repeated reasoning

  24. Standards for mathematics Practices • Describes varieties of expertise that proficient mathematics students naturally have • Practices that all teachers should develop in their students • Practices rests on important processes and proficiencies of importance in mathematics education • Process standards • Mathematical proficiency strands

  25. National Council of Teachers of Mathematics (NCCTM) • Process Standards • Problem Solving • Reasoning and Proof • Communication • Connections • Representations

  26. Connection with the standards

  27. Strands of mathematical proficiency

  28. Strands of mathematical proficiency • Conceptual Understanding- • comprehension of mathematical concepts, operations and relations • Procedural Fluency- • skill in carrying out procedures flexibly, accurately, efficiently and appropriately • Strategic Competence- • ability to formulate, represent and solve mathematical problems • Adaptive Reasoning- • capacity for logical thought, reflection, explanation and justification • Productive disposition- • inclination to see mathematics as sensible useful and worthwhile, coupled with a belief in diligence and one’s own efficacy

  29. Group • Take a moment to examine the first three words of each of the 8 mathematical practices..what do you notice? • What are the verbs that illustrate the student actions for an identified mathematical practice? • Circle, highlight or underline them for your assigned practice • Discuss with a partner, what jumps out at you?

  30. standards for Mathematical PRACTICE Activity • Stay in the same groups as for the previous activity • Each group is assigned 1-3 mathematical practices to review • Each group construct tasks that reflect their assigned practices • Write tasks on chart paper • Discuss challenges with regard to developing tasks

  31. A function or not a function activity THINk Pair SHARE

  32. Card sort task

  33. Real life function task

  34. Overview of Mathematics Task Types PARCC mathematics assessments will include three types of tasks. For more information see PARCC Item Development ITN Appendix D.

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