1. CCGPS Mathematics Coordinate Algebra Update Webinar Unit 3: Linear and Exponential Functions September 13, 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 CA Resource Revision Team

4. Coordinate Algebra/Acc CA Comprehensive Course Overview Located on the 9-12 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 Coordinate Algebra/Accelerated Coordinate Algebra

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

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

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

8. Select the 9-12 option in the Mathematics section Direct Link to Page

9. Expand the Coordinate Algebra Course Direct Link to Page

10. Select the Comprehensive Course Overview Expande Coordinate Algebra Direct Link to Page

12. Table of Contents Outlines the Major areas of Focus for the Course Fully Interactive when viewed via internet Hover over a section and select to access the section quickly

13. Sections of Interest Flipbook Access: Detailed Information About Each Standard Unit Descriptions: Overview Webinar Information Assessment Resources and Instructional Support Resources Internet Resources Curriculum Map

14. Formative Assessment Lessons (FALs)

15. CCGPS Math Wiki Space

16. Purpose of Tasks Problem-Based-Learning--Check out Dan Meyer, Robert Kaplinksy’s websites Provide several entry points to the standards. Teachers should review all tasks in a given unit to determine which tasks would be appropriate for their students. Tasks can be adapted to fit the needs or your classroom. Most standards are covered by various tasks

17. Goals of Unit Revisions More user-friendly Provide teachers with task summaries Give teachers tools necessary to quickly analyze tasks Provide tasks from different sources

18. Updates to Unit Frameworks TASK TABLE Outlines the tasks by type, content and standard. Provides suggested times Hyperlinks to PDFs and Word Docsv

19. Updates to Unit Frameworks

20. Unit 3 Tasks primarily address: – Modeling situations with linear or exponential functions – Exploring function notation and transformations – Understanding sequences as functions

21. Modeling Exponential Functions Having Kittens Multiplying Cells Community Service, Sequences and Functions Paper Folding (from Unit1)

22. Having Kittens Students explore if cats could realistically have 2000 descendants in a year and a half.

23. Multiplying Cells Short task Students chart out cell populations over time.

24. Community Service, Sequences and Functions Student explore comparisons in making money in a linear and in an exponential model.

25. Function Notation Talk is Cheap Building and Comparing Functions Functioning Well

26. High Functioning—Vertical Translations

27. High Functioning—Even and Odd Functions

28. MARS FAL Designed by the shell center Intended as student-driven, teacher-facilitated lessons that build conceptual understanding

29. A look at MARS FAL: Comparing Investments Lesson Plan

30. A look at MARS FAL: Comparing Investments Misconceptions

31. A look at MARS FAL: Comparing Investments Activities

32. A look at MARS FAL: Comparing Investments Student Work

33. Unit 3 Challenges

34. MCC9 ‐ 12.F.LE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. Unit 3 Challenges

36. 21.71% 23.58% 40.16% 14.01%

37. Unit 3 Challenges Adapted from Illustrative Mathematics F-LE Basketball Rebounds

38. Unit 3 Challenges Adapted from Illustrative Mathematics F-LE Basketball Rebounds

39. Unit 3 Challenges Adapted from Illustrative Mathematics F-LE Basketball Rebounds

40. Unit 3 Challenges Adapted from Illustrative Mathematics F-LE Basketball Rebounds

41. Unit 3 Challenges Adapted from Illustrative Mathematics F-LE Basketball Rebounds

42. Unit 3 Challenges Adapted from Illustrative Mathematics F-LE Basketball Rebounds

43. Unit 3 Challenges Adapted from Illustrative Mathematics F-LE Basketball Rebounds

44. Assessment – Coordinate Algebra Released Items We have posted a set of released Coordinate Algebra EOCT items to the GaDOE website. In addition to the item booklet itself, you will find commentary and field test performance data. […] The items are posted on the EOCT webpage, under the link 'EOCT Resources.' A direct link to this webpage is provided below. Please scroll down the page and look under the heading 'Other Documents and Resources.' […] http://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Pages/EOCT- Resources.aspxhttp://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Pages/EOCT- Resources.aspx ~ Dr. Melissa Fincher, Associate Superintendent for Assessment and Accountability (excerpt from an email sent to K-12 Assessment Directors from Dr. Fincher)

45. 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://ccgpsmathematics9-10.wikispaces.com/http://ccgpsmathematics9-10.wikispaces.com/  CCGPS Mathematics Frameworks and Comprehensive Course Overviews - https://www.georgiastandards.org/Common-Core/Pages/Math-9-12.aspx https://www.georgiastandards.org/Common-Core/Pages/Math-9-12.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

46. 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.

47. 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/  Mathematics Vision Project - http://www.mathematicsvisionproject.org/index.htmlhttp://www.mathematicsvisionproject.org/index.html  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/  LearnZillion - http://learnzillion.com/http://learnzillion.com/ Assessment Resources  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/  Online Assessment System - http://bit.ly/OoyaK5http://bit.ly/OoyaK5 Resources

49. 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

50. Resources http://robertkaplinsky.com/

51. Resources http://robertkaplinsky.com/

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

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

54. 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

55. Thank You! Please visit http://ccgpsmathematics9-10.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 9-12 Mathematics email listserve. Follow on Twitter! Follow @GaDOEMathhttp://ccgpsmathematics9-10.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.