AZ Counts – Level 1 Common Core State Standards Mathematics K-2

1. AZ Counts – Level 1Common Core State Standards MathematicsK-2 Alicia Holtzclaw June 20, 2012

2. Welcome to CC Math, day 2! • Please be sure you have signed in • Take out your nametag (front pocket of your binder) • Write any burning questions you have on the index card at your seat • Begin working on the Mathematical Practices questions at your seat

3. Agenda Welcome! Rigorous Activities Introductions History of the Common Core Mathematical Practices 3-2-1 Summary Sheet

4. What Cognitive Demand Level is this? • What Mathematical Practice is this? • What Strategies helped you? • What are some benefits of this type of problem?

5. Practice Problems Work on the practice problems at your table After 20 minutes of work time we will regroup Groups: study your problem What MATHEMATICAL PRACTICES are used? How does this problem assess real-world thinking?

6. Goals for Today Purpose: • Examine and understand structure of new standards and supporting documents • Explore elements of effective instruction and Model Content Frameworks • Consider implications for implementation of the new standards and impact on instruction

7. SOME THOUGHTS ON CC… It is the research base (how understanding of the core concepts and essential skills of mathematics typically develop over time when supported by high quality, targeted instruction), not standards that have driven this work. We have not simply rearranged’ the standards. It is our hope that with a better understanding of how to apply the research to classroom practice (instruction and assessment) teachers will be better able to prepare all students to be productive citizens in the 21st century world beyond high school.

8. Where did the Common Core Standards Originate? • In 2009, initial work began… • Council of Chief State School Officers (CCSSO) • National Governor’s Associate for Best Practice • In partnership with: • ACT • College Boards • Achieve, Inc.

9. What are the Common Core State Standards? • A national set of standards - written by experts, teachers, and administrators that are: • Designed for college and career readiness • Mastery focused vs. exposure • Optional for state-adoption • Evidence/Research-based • Internationally benchmarked

10. Why is Arizona adopting the CCSS? • Emphasis on both concepts and skills • (learning progressions): • Fewer standards • Clear, focused outcomes • Higher–order thinking skills

11. Why is Arizona adopting the CCSS? • Consistency among states promotes: • common high-quality assessments • sensible instructional materials • clear, focused professional development

12. Why is Arizona adopting the CCSS? • Common Core Consortium considered: • teacher input (NEA, AFT, NCTM, NCTE) • built from strengths and lessons learned • by current state standards • the avoidance of duplicity or repetition • the end goal for student mastery of • concepts and skills

13. An inevitable constant is CHANGE

14. *Minnesota adopted the CCSS in ELA/literacy only 46 States + DC Have Adopted the Common Core State Standards

15. Key Advances of the Common Core ANCHORED IN COLLEGE AND CAREER READINESS

16. This is NOT Businessas Usual . . . • More demanding standards and new topics • New assessments measuring more complex reasoning • Urgency to address performance gaps • Need to reform professional development

17. New Assessment for New Standards PARCC- Partnership for Assessment of Readiness for College and Careers

18. What’s Next?Common Assessments • Common Core State Standards are critical, but they are just the first step • Common assessments aligned to the Common Core will help ensure the new standards truly reach every classroom

20. The PARCC Goals • Create high-quality assessments • Build a pathway to college and career readiness for all students • Support educators in the classroom • Develop 21st century, technology-based assessments • Advance accountability at all levels

21. Advances in Assessment Demanded by the Shifts Shift #1 – Focus: The PARCC assessments will focus strongly where the Standards focus Advance: PARCC assessments will focus strongly where the Standards focus (70% or more on the major work in grades 3-8). Focus allows for a variety of problem types to get at concept in multiple ways. Students will have more time to master concepts at a deeper level. 21

22. Advances in Assessment Demanded by the Shifts Shift #2 - Coherence: Think across grades, and link to major topics within grades Advance: The assessment design is informed by multi-grade progressions in the Standards and the Model Content Frameworks. Key beginnings are stressed (e.g., ratio concepts in grade 6), as are key endpoints and takeaway skills (e.g., fluency with the multiplication table in grade 3). 22

23. Advances in Assessment Demanded by the Shifts Shift #2 - Coherence: Think across grades, and link to major topics within grades Advance: Integrative tasks draw on multiple standards to ensure students are making important connections. The Standards are not treated as a checklist. 23

24. Advances in assessment demanded by the shifts Shift #3 - Rigor: In major topics, pursue conceptual understanding, procedural skill and fluency, and application Advance: PARCC assessments will reach the rigor in the Standards through innovations in technology and item design… 24

25. The PARCC Assessment Design English Language Arts/Literacy and Mathematics, Grades 3-11 Flexible • End-of-Year • Assessment • Innovative, computer-based items • Mid-Year Assessment • Performance-based • Emphasis on hard-to-measure standards • Potentially summative • Performance-Based • Assessment (PBA) • Extended tasks • Applications of concepts and skills • Diagnostic Assessment • Early indicator of student knowledge and skills to inform instruction, supports, and PD Speaking And Listening Summative, Required assessment Non-summative, optional assessment

26. PARCC Timeline Sept. 2012 First year field testing and related research and data collection begins Sept. 2013 Second year field testing begins and related research and data collection continues Sept. 2014 Full administration of PARCC assessments begins Summer 2015 Set achievement levels, including college-ready performance levels Oct. 2010 Launch and design phase begins Sept. 2011 Development phase begins For more information see, www.PARCCConsortium.org/Timeline

27. Example from 3rd Grade Common Core Tool Box

28. Grade 7 Illustrative Sample Item 28

29. Explorations Take some time to explore the following sites: -www.ccsstoolbox.com -www.illustrativemathematics.org -www.parcconline.org/samples/mathematics

30. Frameworks, 3-8 • Key Advances • Fluency Expectations • With-in Grade Dependencies • Connections • In-Depth Focus • Connections and MPs • Content Emphasis by Cluster • For K-2, Progressions

31. GUIDING PRINCIPLES OF LEARNING PROGRESSIONS (LPS) LPs are developed (and refined) using available research and evidence LPs have clear binding threads that articulate the essential core concepts and processes of a discipline (sometimes called the ‘big ideas’ of the discipline) LPs articulate movement toward increased understanding (meaning deeper, broader, more sophisticated understanding) LPs go hand-in-hand with well-designed and aligned assessments

32. PROGRESSIONS Read just your grade level section Highlight the 3 biggest ideas in your area Collaborate with your group to agree on 3 big ideas

33. Progressions Where are our kids coming from? Where are they headed? What can we use these for?

34. Accessible MathematicsBy Steven Leinwand 1 - Incorporate ongoing cumulative review into every day’s lesson. 2 - Adapt what we know works in our reading programs and apply it to mathematics instruction. 3 - Use multiple representations of mathematical entities. 4 - Create language-rich classroom routines. 5 - Take every available opportunity to support the development of number sense. 6 - Build from graphs, charts, and tables. 7 - Tie the math to such questions as: “How big?” “How much?” “How far?” to increase the natural use of measurement throughout the curriculum.  8 - Minimize what is no longer important. 9 - Embed the mathematics in realistic problems and real-world contexts 10 - Make “Why?” “How do you know?” “Can you explain?” classroom mantras.

35. Shift #1- Review DAILY Quick review Independent, success!! Different methods (oral, word problem, math facts) Try to hit: number, estimate, term, skill, picture, measurement

36. Shift #2- What Works in Reading, Works in Math Too!! Ask “Why?” “What do you think?” “How did you get that?”—probe for more Work with kids in small groups (guided math) Less is more—not quantity of practice, quality of practice

37. Shift #3-Multiple Representations Frequent pictorial representations Manipulatives, number line, bar models Frequent opportunities for students to use multiple representations/drawing

38. Bar Model Siti packs a bag and it weighs 29 kg. Rahim packs a bag and it weighs 11 kg. less than Siti’s bag How much do Siti and Rahim’s bags weigh together? Write your own problem and solve it using a bar model

39. Jigsaw Shift #4-10 Read your chapter Create an interactive presentation for your shift Present your shift in about 3 min.

40. Rigor How can we increase the rigor in our classrooms as we also come into alignment with the common core?

41. Websites of Interest… https://arizona2010commoncoremath.wikispaces.com/home My website with all resources from today and others added when I find them  http://www.ade.gov • Updated information, links, and resources for implementation and transition to the 2010 standards and PARCC assessment. http://www.achieve.org/ • Achieve website.  Achieve is the project management partner for PARCC. http://www.parcconline.org/ • PARCC website.  PARCC is the assessment consortium that Arizona is part of.  Arizona is a governing state within the consortium. http://www.cehd.umn.edu/NCEO/ • Here you will find the NCEO briefs and additional information related to assessing our current AIMS-A students (1%).  http://www.corestandards.org/ • This site will give you background and additional information about the standards.  Much of this same information can be found on the new Arizona Department of Education website. http://www.ccsso.org/ • Council of Chief State School Officers website. Excellent link to Hunt Institute and CCSSO Common Core Implementation Video Series.

42. Revisit Agenda for Today Purpose: • Using more rigorous work and activities • History of Common Core • PARCC • Frameworks and Progressions • Mathematical Shifts