1. CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 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 3 revisions Addressing areas which teachers have found to be more challenging Resources

3. 2013 8 th Grade Resource Revision Team Samantha Clay APS Shelly Bydlinski Glynn Co. Schools Kim Conley Lee Co. Joe Hardy Bibb Co. Mandi Campbell Floyd Co.

4. 8 th Grade CCGPS Unit Revisions Webinar Overview of Comprehensive Course Guide & Unit 3: Geometric Applications of Exponents

5. 8 th Grade Math Resource Revision Team Members Shelly Bydlinski - Glynn County School System Mandy Campbell- Floyd County School System Samantha Clay – Atlanta Public Schools Kim Conley - Lee County School System Joe Hardy – Bibb County School System

6.  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

7. Begin at www.georgiastandards.org

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

9. Select the Mathematics option under Browse CCGPS

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

11. Select the Grade 8 option

12. Direct Link to Page Select the Comprehensive Course Guide

13. This is your Comprehensive Course Guide

14.  Standards are hyperlinked to the Flipbooks providing teaching strategies, misconceptions, and prior knowledge  Formative Assessment Lesson (FAL) information and video links  Internet Resources Sections of Interest

15. Formative Assessment Lessons (FALs)

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

17. Unit 3 Geometric Applications of Exponents

18.  Slight change of format  Inclusion of Short Cycle Tasks and Formative Assessment Lessons from the Shell Center  An Achieve CCSS-CTE Classroom Task was added to integrate CTE Knowledge and Skills in classroom learning.  Included Standards for Mathematical Practice (SMPs) for each Task and differentiation options  Suggestions sent by educators from all over the United States via email and the wiki  Observations made from personal experiences Overall Changes in the Unit

19.  Proofs of the Pythagorean Theorem - Analyze attempts to prove the Pythagorean Theorem.  Circles and Squares - Apply the Pythagorean Theorem to find the ratio between two shapes. Short Cycle Tasks

20.  The Pythagorean Theorem: Square Area - Use the Pythagorean Theorem to find lengths and areas and use the area of right triangles to deduce the areas of other shapes.  Making Matchsticks - Apply the volume formula to real-world situations.  Calculating Volumes of Compound Objects - Apply volume formulas to compound objects. Formative Assessment Lessons

21. CCSS – CTE Task

22. Selected Terms and Symbols

23. Note: In the Teacher’s Edition (found in the Learning Village), the Task Table includes hyperlinks to the Formative Assessment Lessons (FALs) and Short Cycle Tasks. The links are also found on the individual task pages within the unit.

24. Lets look at a Task: Acting Out

29.  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 located at georgiastandards.org is static, viewable for anyone. Teacher editions and any updates or additional resources, including hot links, are only available through Learning Village.  If you are attending the Georgia Mathematics Conference at Rock Eagle in October, come visit us. Our session is Friday morning. Things to Remember

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

31. Unit 3 Challenges Adapted from Illustrative Mathematics 8.G Two Triangles’ Area

32. Unit 3 Challenges Adapted from Illustrative Mathematics 8.G Two Triangles’ Area

33. Unit 3 Challenges Adapted from Illustrative Mathematics 8.G Two Triangles’ Area

34. Unit 3 Challenges Adapted from Illustrative Mathematics 8.G Two Triangles’ Area

35. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges MCC.8.G.7

36. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges MCC.8.G.7

37. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges MCC.8.G.7

38. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges MCC.8.G.7

39. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges MCC.8.G.7

40. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges 4 triangles of base 10 and height 13 1 square of side 10 MCC.8.G.7

41. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges MCC.8.G.7

42. Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches. Unit 3 Challenges MCC.8.G.7

43. 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

44. 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.

45. 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

47. 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

48. Resources http://robertkaplinsky.com/

49. Mathematical Understanding? http://robertkaplinsky.com/what-does-it-mean-to- understand-mathematics/

50. http://robertkaplinsky.com/what-does-it-mean-to- understand-mathematics/ Procedural skill and fluency Conceptual understanding The ability to apply mathematics Mathematical Understanding?

51. Feedback http://www.surveymonkey.com/s/WZKG5G2 James Pratt – jpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.usjpratt@doe.k12.ga.usbkline@doe.k12.ga.us

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.