1. CCGPS Mathematics 8 th Grade Update Webinar Unit 1: Transformations, Congruence, and Similarity 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 Resource Revision Teams

4. 2013 8 th Grade Resource Revision Team

5. 8 th Grade CCGPS Unit Revisions Webinar Overview of Comprehensive Course Guide & Unit 1

6. 8 th Grade Math Resource Revision Team Shelly Bydlinski - Glynn County School System Mandy Campbell- Floyd County School System Samantha Clay – Atlanta City Public Schools Kim Conley - Lee County School System Joe Hardy – Bibb County School System

7.  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 8 th Grade Math 8 th Grade Comprehensive Course Overview

8. Begin at www.georgiastandards.org

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

10. Select the Mathematics option under Browse CCGPS

11. Select the 6-8 option in the Mathematics section

12. Select the Grade 6 option

13. Direct Link to Page Select the Comprehensive Course Guide

14. This is your Comprehensive Course Guide

15.  Click on blue hyperlink to access  The Flipbooks offer clarification  Very Large File (slow loading) Flipbooks

16. 8 th Grade Standards

17. Standard Specific Information

18. 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. Achieve CCSS- CTE - Designed to demonstrate how the Common Core and Career and Technical Classroom Tasks - Education knowledge and skills can be integrated. The tasks provide teachers with realistic applications that combine mathematics and CTE content. Short Cycle Task - Designed to exemplify the performance targets that the standards imply. The tasks, with the associated guidance, equip teachers to monitor overall progress in their students’ mathematics. Formative Assessment Lesson (FAL) - Lessons that support teachers in formative assessment which both reveal and develop students’ understanding of key mathematical ideas and applications. These lessons enable teachers and students to monitor in more detail their progress towards the targets of the standards.

19. Formative Assessment Lessons (FALs)

20. 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 Intended to guide instructional decisions for the rest of the unit Not intended to be graded, but for feedback Very beneficial to addressing student misconceptions Additional FALs are in the editing process.

21. Short Cycle Tasks Also from the Shell Center (Mathematics Assessment Project web site: http://map.mathshell.org.uk/materials/lessons.php) http://map.mathshell.org.uk/materials/lessons.php Go to the “Tasks” tab: Short assessments with rubrics “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”

22. For the FALs click on this tab For the Short Cycle Tasks click on this tab Make sure to choose the Correct grade level

23. Internet Resources Webinar Information General Resources Problem-Based Learning Assessment and Instructional Support Resources

24. Examples of Resources

25. Unit 1 Transformations, Congruence, and Similarity

26.  Slight change of format  Included Standards for Mathematical Practices for each Task  Suggestions sent by teacher from all over the United States via email and the wiki  Observations made from personal experiences Overall Changes in the Unit

27. Selected Terms and Symbols

28. Note: In the Teacher’s Edition (found in the Learning Village), the Task Table includes hyperlinks to the FALs and Short Cycle Task. The link is also found on the task page within the unit.

29. A new section has been included in each task to list the appropriate Standards for Mathematical Practices (SMPs).

30. The standards are hyperlinked to the CCGPS document which can also be found at www.georgiastandards.org www.georgiastandards.org

31. Common Misconceptions have been identified for each task to assist teachers in guiding the students to success.

32. Differentiation need I say more….YAY!!!!!

33.  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. Things to Remember

34. Your comments are greatly appreciated: http://ccgpsmathematics6-8.wikispaces.com/home Feedback

35. Areas of Concern SEDL CCGPS Support Video: MCC8.G.2 http://secc.sedl.org/common_core_video s/index.php?action=view&id=781

36. Areas of Concern The two triangles in the picture below are congruent. a.Give a sequence of rotations, translations, and/or reflections which take ∆PRQ to ∆ABC. b.Is it possible to show the congruence in part (a) using only translations and rotations? Adapted from Illustrative Mathematics 8.G.2 Congruent Triangles

37. Areas of Concern Adapted from Illustrative Mathematics 8.G.2 Congruent Triangles

38. Areas of Concern Adapted from Illustrative Mathematics 8.G.2 Congruent Triangles

39. Areas of Concern Adapted from Illustrative Mathematics 8.G.2 Congruent Segments Line segments AB and CD have the same length. Describe a sequence of reflections that exhibits a congruence between them.

40. Areas of Concern Adapted from Illustrative Mathematics 8.G.2 Congruent Segments

41. Areas of Concern Adapted from Illustrative Mathematics 8.G.2 Congruent Segments

42. Areas of Concern Adapted from Illustrative Mathematics 8.G.2 Congruent Segments

43. Areas of Concern For each vertex of the triangle in the form (x, y), create a second image at the coordinates (½x, ½y). What is the result? A: (4, 6) A’: (8, 12) A”: (2, 3) B: (7, 4) B’: (14, 8) B”: (3.5, 2) C: (4, 4) C’: (8, 8) C”: (2, 2) CB A A’ B’C’ A” B”C”

44. 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

45. 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

46. 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)

47. 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

48. 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.

49. 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

50. 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/  Robert Kaplinsky - http://robertkaplinsky.com/http://robertkaplinsky.com/ Books  Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8

51. 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

52. 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.