1. CCGPS Mathematics 6 th Grade Update Webinar Unit 1: Number System Fluency August 9, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.usjpratt@doe.k12.ga.usbkline@doe.k12.ga.us Secondary Mathematics Specialists Microphone and speakers can be configured by going to: Tools – Audio – Audio setup wizard These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

2. What are update webinars? Update on the work of the 2013 Resource Revision Team  Overall revisions  Unit 1 revisions Addressing areas of concern Resources

3. 2013 6 th Grade Resource Revision Team

4. 6 th Grade Math Resource Revision Team Tonya Burt- Lincoln County Middle School Anne Miller Gay – MS Math Coach, Camden County Beverly Harvey- Ebenezer MS, Effingham County Janet Kennedy – Kittredge Magnet School, Dekalb County Ashley Powell – Marietta 6 th Grade Academy, Marietta City

5. 6 th Grade Math Resource Revision Team Webinar Guide Comprehensive Course Guide Tonya Burt FAL assessment and short cycle task Anne Miller Gay Unit 1 Task Chart- Ashley Powell SMP’s and Misconceptions – Janet Kennedy Unit 1 changes – Beverly Harvey and Anne Miller Gay

6. 6 th grade Math Comprehensive Course Guide Located on the 6-8 math section of www.georgiastandards.org www.georgiastandards.org Designed to provide clarification of CCGPS Mathematics Standards Organized to link together many sources of information pertinent to CCGPS 6 th Grade Math

7. 6 th Grade Comprehensive Course Overview  Located on the 6-8 math section of www.georgiastandards.org www.georgiastandards.org  Designed to provide clarification of CCGPS Mathematics Standards  Organized to link together many sources of information pertinent to CCGPS 6 th Grade Math

8. Begin at www.georgiastandards.org Direct Link to Page

9. Select the CCGPS ELA/Math Tab Direct Link to Page

10. Select the Mathematics option under Browse CCGPS Direct Link to Page

11. Select the 6-8 option in the Mathematics section Direct Link to Page

12. Select the Grade 6 option Direct Link to Page

13. Select the Comprehensive Course Guide

14. This is your Comprehensive Course Guide

15. Flipbooks  Bold words will provide access to the Common Core Flipbooks  The Flipbooks offer clarification  Very Large File (slow loading) Direct link to Flipbook

16. Content Domain Flipbook Resources Active links to standard resources

17. Standard Specific Information  Each Standard is Linked to Flipbook information  Select the Standard to gain quick access to clarification without having to scroll through multiple pages

18. Standards for Mathematical Practice Active Links Provided to Videos and Information on the Standards for Mathematical Practice Active Links Provided for EACH Standard for Mathematical Practice

19. Task Descriptions Scaffolding Task -Tasks that build up to the learning task. Learning Task- Constructing understanding through deep/rich contextualized problem solving tasks. Practice Task -Tasks that provide students opportunities to practice skills and concepts. Performance Task -Tasks which may be a formative or summative assessment that checks for student understanding/misunderstanding and or progress toward the standard/learning goals at different points during a unit of instruction. Culminating Task -Designed to require students to use several concepts learned during the unit to answer a new or unique situation. Allows students to give evidence of their own understanding toward the mastery of the standard and requires them to extend their chain of mathematical reasoning.

20. Formative Assessment Lessons (FALs)

21. Formative Assessment Lessons (“Classroom Challenges”) Developed by the Shell Center Embedded in the FY14 Units, also available at http://map.mathshell.org.uk/materials/lessons.php http://map.mathshell.org.uk/materials/lessons.php Usually 2/3 into a unit Intended to guide instructional decisions for the rest of the unit Not intended to be graded, but for feedback Plan is to have at least one per unit Details coming in Unit 2, when the first available 6 th grade FAL occurs

22. Short Cycle Tasks Also from the Shell Center (Mathematics Assessment Project web site) “Tasks” tab: Short assessments with rubrics Included in each unit as available “Mathematical skills and practices might be assessed partly in isolation, partly under scaffolded conditions, and partly when students face substantial problems without scaffolded support. We call tasks that assess these three different types of performance novice, apprentice, and expert tasks respectively”

23. Other Sections of Interest Unit Descriptions Webinar Information Assessment Resources and Instructional Support Resources Internet Resources Curriculum Map

24. Examples of Resources Assessment Resources and Instructional Support Resources The resource sites listed below are designed to support the instructional and assessment needs of teachers. All BLUE links will direct teachers to the site mentioned. CCGPS Frameworks are "models of instruction" designed to support teachers in the implementation of the Common Core Georgia Performance Standards (CCGPS). The Georgia Department of Education, Office of Standards, Instruction, and Assessment has provided an example of the Curriculum Map for each grade level and examples of Frameworks aligned with the CCGPS to illustrate what can be implemented within the grade level. School systems and teachers are free to use these models as is; modify them to better serve classroom needs; or create their own curriculum maps, units and tasks. The Teacher Resource Link (TRL) is an application that delivers vetted and aligned digital resources to Georgia’s teachers. TRL is accessible via the GaDOE “tunnel” in conjunction with LDS using the single sign-on process. The content is aligned to Common Core Georgia Performance Standards, Georgia Performance Standards, and National Education Technology Standards and pushed to teachers based on course schedule. Georgia Online Assessment (OAS) System Teachers can use the OAS as a tool for Assessment for Learning. Student results on assessments help teachers identify learner needs and strengths and inform instructional practices. Robust reports also allow teachers to communicate with students and parents about learner goals, intentions, and outcomes. The OAS helps with a cycle of assessments, instruction, feedback, and communication that allows teachers, students, and parents to be confident with instructional success. Teachers will be particularly interested in the Formative Item Bank. Webinar support and links will direct teachers to archived webinars as well as links to join or view upcoming webinars. Course/Grade Level WIKI spaces are available to post questions about a unit, a standard, the course, or any other CCGPS math related concern. Shared resources and information are also available at the site. CRCT Resources are available to provide more information for the CRCT as provided by the GaDoe. Georgiastandards.org provides a gateway to a wealth of instructional links and information. Open the Common Core GPS tab at the top to access specific math resources for CCGPS. Formula Sheet is the formula sheet found on the GaDoe website and the formula sheet used on the CRC T.

25. Examples of Resources Webinar support and links will direct teachers to archived webinars as well as links to join or view upcoming webinars. Course/Grade Level WIKI spaces are available to post questions about a unit, a standard, the course, or any other CCGPS math related concern. Shared resources and information are also available at the site. CRCT Resources are available to provide more information for the CRCT as provided by the GaDoe. Georgiastandards.org provides a gateway to a wealth of instructional links and information. Open the Common Core GPS tab at the top to access specific math resources for CCGPS. Formula Sheet is the formula sheet found on the GaDoe website and the formula sheet used on the CRCT.

26. Tasks Unit 1

27. Standards for Mathematical Practice and Misconceptions Unit 1 Specific Standards for Mathematical Practice A step was taken by the team to incorporate in each unit specific Standards for Mathematical Practice. Instead of listing the eight general SMPs repeatedly throughout the units, we chose the standards that were most relevant with terminology specific to the task. For example in the TASK: UNDERSTANDING THE LONG DIVISION ALGORITHM the following standards were listed: Before- 1. Make sense of problems and persevere in solving them. Now-1. Make sense of problems and persevere in solving them. Students make sense of multi-digit division problems using the standard algorithm. Students represent this visually through a base-ten chart.

28. Standards for Mathematical Practice and Misconceptions Unit 1 Before-4. Model with mathematics. Now-4. Model with mathematics. Students will model multi-digit division with base-ten charts. Before- 5. Use appropriate tools strategically. Now-5. Use appropriate tools strategically. Students will use visual tools (base-ten charts) for of multi-digit division. Before- 7. Look for and make use of structure. Now-7. Look for and make use of structure. Students examine the relationship between the dividend, quotient, and divisor in a multi-digit division problem using the base-ten chart. This addition of specific standards is an important bonus for the classroom teacher.

29. Standards for Mathematical Practice and Misconceptions Unit 1 Misconceptions The team added misconceptions to each unit as documented by research. This addition was in-line with other states, as we previewed other states’ documents. The misconceptions in unit 1 are listed with examples. The misconceptions are: The addition of specific standards for mathematical practice for each task and specific misconceptions to each unit are just a few of the many improvements we hope the math teachers in our state will find useful in writing lesson plans and being effective teachers in their classroom.

30. Standards for Mathematical Practice and Misconceptions Unit 1 Misconceptions

31. Types of Tasks Unit 1 Types of Tasks (Chart in each unit) Each task is listed in a chart with the task type, content addressed and standard the task will address. Learning Task/Scaffolding Task Performance Task Formative Task/Formative Assessment lesson Summative Performance

32. Tasks - unchanged  Finding Common Factors  Back to School  Let’s Distribute  Dividing Fractions  Understanding Algorithms  Do it Yourself

33. Secret Number  Clues reformatted  A key to #9

34. Fractional Divisors  more detail in the answer key

35. Estimating is the Root of Fluency  introduction  teacher notes

36. Culminating Task: Pick and Number, Any Number  All standards for unit 1  Clarify directions

37. Understanding the Long Division Algorithm  New Task  Designed to have students model and explain  Based on place value  Grouping and regrouping  Leads to understanding the ‘standard algorithm’  NS.2 – Fluently divide multi-digit numbers using the standard algorithm.

38. Dividing Fractions with Modeling  New Task  More Practice with modeling dividing fractions

39. Things to Remember  Use the Wiki to share information with other teachers and to ask questions.  This is a living document. Please share anything you may have to enhance this or any unit. The Wiki is the teacher community page to share anything you have.  The DOE CCGPS tab is static, viewable for anyone. Teacher pages and any updates or additional resources, including hot links, are only available through Learning Village.

40. Areas of Concern Adapted from Illustrative Mathematics 6.NS.1 Cup of Rice

41. Areas of Concern Adapted from Illustrative Mathematics 6.NS.1 Cup of Rice

42. Areas of Concern Adapted from Illustrative Mathematics 6.NS.1 Cup of Rice Illustrative Mathematics - http://www.illustrativemathematics.org/http://www.illustrativemathematics.org/

43. 5/3 ÷ 1/2 How many halves are in five-thirds? Areas of Concern

44. 5/3 ÷ 1/2 How many halves are in five-thirds? Areas of Concern

45. 5/3 ÷ 1/2 How many halves are in five-thirds? Areas of Concern

46. 5/3 ÷ 1/2 How many halves are in five-thirds? Areas of Concern

47. 5/3 ÷ 1/2 How many sets of 1/2 are in 5/3? Areas of Concern

48. 5/3 ÷ 1/2 How many sets of 1/2 are in 5/3? Areas of Concern

49. 5/3 ÷ 1/2 How many sets of 1/2 are in 5/3? Areas of Concern

50. 5/3 ÷ 1/2 How many sets of 1/2 are in 5/3? Areas of Concern

51. 5/3 ÷ 1/2 How many sets of 1/2 are in 5/3? Areas of Concern

52. 5/3 ÷ 1/2 How many sets of 1/2 are in 5/3? Areas of Concern 1 1/3 3 2 Teaching Student-Centered Mathematics Van de Walle and Lovin

53. Assessment July 22, 2013 – State School Superintendent Dr. John Barge and Gov. Nathan Deal announced today that Georgia is withdrawing from the Partnership for Assessment of Readiness for College and Careers (PARCC) test development consortium. Instead, the Georgia Department of Education (GaDOE) will work with educators across the state to create standardized tests aligned to Georgia’s current academic standards in mathematics and English language arts for elementary, middle and high school students. Additionally, Georgia will seek opportunities to collaborate with other states. The press release in its entirety can be found at: http://www.gadoe.org/External-Affairs-and- Policy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123http://www.gadoe.org/External-Affairs-and- Policy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123

54. Assessment As GaDOE begins to build new assessments, please note that our Georgia assessments: will be aligned to the math and English language arts state standards; will be high-quality and rigorous; will be developed for students in grades 3 through 8 and high school; will be reviewed by Georgia teachers; will require less time to administer than the PARCC assessments; will be offered in both computer- and paper-based formats; and will include a variety of item types, such as performance-based and multiple- choice items. The press release in its entirety can be found at: http://www.gadoe.org/External-Affairs-and- Policy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123http://www.gadoe.org/External-Affairs-and- Policy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123

55. Assessment We will continue to work with Georgia educators, as we have in the past, to reconfigure and/or redevelop our state assessments to reflect the instructional focus and expectations inherent in our rigorous state standards in language arts and math. This is not a suspension of the implementation of the CCGPS in language arts and math. ~ Dr. John Barge (excerpt from a letter to state Superintendents from Dr. Barge)

56. GaDOE Resources  Fall 2011 CCGPS Standards for Mathematical Practices Webinars - https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx  Spring 2012 CCGPS Mathematics Professional Learning Sessions on GPB - https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx  2012 – 2013 CCGPS Mathematics Unit-by-Unit Webinar Series - https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx  Georgia Mathematics Teacher Forums - http://ccgpsmathematics6-8.wikispaces.com/http://ccgpsmathematics6-8.wikispaces.com/  CCGPS Mathematics Frameworks and Comprehensive Course Overviews - https://www.georgiastandards.org/Common-Core/Pages/Math-6-8.aspx https://www.georgiastandards.org/Common-Core/Pages/Math-6-8.aspx  Mathematics Formative Assessment Lesson Videos - https://www.georgiastandards.org/Common-Core/Pages/Mathematics-Formative- Assessment-Lessons-Videos.aspx https://www.georgiastandards.org/Common-Core/Pages/Mathematics-Formative- Assessment-Lessons-Videos.aspx Resources

57. Resource List The following list is provided as a sample of available resources and is for informational purposes only. It is your responsibility to investigate them to determine their value and appropriateness for your district. GaDOE does not endorse or recommend the purchase of or use of any particular resource.

58. CCGPS Resources  SEDL videos - http://bit.ly/RwWTdc or http://bit.ly/yyhvtchttp://bit.ly/RwWTdchttp://bit.ly/yyhvtc  Illustrative Mathematics - http://www.illustrativemathematics.org/http://www.illustrativemathematics.org/  Dana Center's CCSS Toolbox - http://www.ccsstoolbox.com/http://www.ccsstoolbox.com/  Common Core Standards - http://www.corestandards.org/http://www.corestandards.org/  Tools for the Common Core Standards - http://commoncoretools.me/http://commoncoretools.me/  Phil Daro talks about the Common Core Mathematics Standards - http://bit.ly/URwOFThttp://bit.ly/URwOFT  LearnZillion - http://learnzillion.com/http://learnzillion.com/ Assessment Resources  Online Assessment System - http://bit.ly/OoyaK5http://bit.ly/OoyaK5  MAP - http://www.map.mathshell.org.uk/materials/index.phphttp://www.map.mathshell.org.uk/materials/index.php  Illustrative Mathematics - http://illustrativemathematics.org/http://illustrativemathematics.org/  CCSS Toolbox: PARCC Prototyping Project - http://www.ccsstoolbox.org/http://www.ccsstoolbox.org/  Smarter Balanced - http://www.smarterbalanced.org/smarter-balanced-assessments/http://www.smarterbalanced.org/smarter-balanced-assessments/  PARCC - http://www.parcconline.org/http://www.parcconline.org/ Resources

59. Professional Learning Resources  Inside Mathematics- http://www.insidemathematics.org/http://www.insidemathematics.org/  Annenberg Learner - http://www.learner.org/index.htmlhttp://www.learner.org/index.html  Edutopia – http://www.edutopia.orghttp://www.edutopia.org  Teaching Channel - http://www.teachingchannel.orghttp://www.teachingchannel.org  Ontario Ministry of Education - http://bit.ly/cGZlcehttp://bit.ly/cGZlce  Achieve - http://www.achieve.org/http://www.achieve.org/ Blogs  Dan Meyer – http://blog.mrmeyer.com/http://blog.mrmeyer.com/  Timon Piccini – http://mrpiccmath.weebly.com/3-acts.htmlhttp://mrpiccmath.weebly.com/3-acts.html  Dan Anderson – http://blog.recursiveprocess.com/tag/wcydwt/http://blog.recursiveprocess.com/tag/wcydwt/

60. Feedback http://ccgpsmathematics6-8.wikispaces.com/ James Pratt – jpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.usjpratt@doe.k12.ga.usbkline@doe.k12.ga.us Secondary Mathematics Specialists

61. Thank You! Please visit http://ccgpsmathematics6-8.wikispaces.com/ to share your feedback, ask questions, and share your ideas and resources! Please visit https://www.georgiastandards.org/Common-Core/Pages/Math.aspx to join the 6-8 Mathematics email listserve. Follow on Twitter! Follow @GaDOEMathhttp://ccgpsmathematics6-8.wikispaces.com/https://www.georgiastandards.org/Common-Core/Pages/Math.aspx Brooke Kline Program Specialist (6 ‐ 12) bkline@doe.k12.ga.us James Pratt Program Specialist (6-12) jpratt@doe.k12.ga.us These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.