1. CCGPS Mathematics Unit-by-Unit Grade Level Webinar Accelerated Analytic Geometry B/Advanced Algebra Unit 9: Trigonometric Functions October 24, 2013 Session will be begin at 8:00 am While you are waiting, please do the following: Configure your microphone and speakers by going to: Tools – Audio – Audio setup wizard Document downloads: When you are prompted to download a document, please choose or create the folder to which the document should be saved, so that you may retrieve it later.

2. CCGPS Mathematics Unit-by-Unit Grade Level Webinar Accelerated Analytic Geometry B/Advanced Algebra Unit 9: Trigonometric Functions October 24, 2013 James Pratt – jpratt@doe.k12.ga.usjpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.usbkline@doe.k12.ga.us Secondary Mathematics Specialists These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

3. The big idea of Unit 9 Incorporating SMPs into geometric modeling Resources Welcome!

4. Which trigonometric functions are we working with in this unit? What identities? Wiki/Email Questions

5. F.TF.8

6. What’s the big idea? Analyze functions using different representations Extend the domain of trigonometric functions using the unit circle Model periodic phenomena with trigonometric functions Prove and apply trigonometric identities

7. What’s the big idea? Standards for Mathematical Practice

9. The big idea!

10.  Minimal student explanations  Passive/receptive

11. The big idea!

12. Coherence and Focus K-9 th  Rewrite expressions  Functions  Pythagorean Theorem  Right Triangle Trigonometry 11th-12th  Solve and graph functions  Model with functions.

13. Examples & Explanations Defining a radian. A radian is based upon the radius. One radian is the angle created by bending the radius length around the arc of a circle. http://en.wikibooks.org/wiki/High_School_Trigonometry/Radian_Measure

14. Examples & Explanations Defining a radian. A radian is based upon the radius. One radian is the angle created by bending the radius length around the arc of a circle. http://en.wikibooks.org/wiki/High_School_Trigonometry/Radian_Measure

15. Examples & Explanations Defining a radian. A radian is based upon the radius. One radian is the angle created by bending the radius length around the arc of a circle. Continuing to add radius lengths, it takes a little more than 6 to complete the rotation. http://en.wikibooks.org/wiki/High_School_Trigonometry/Radian_Measure

16. Examples & Explanations Defining a radian. A radian is based upon the radius. One radian is the angle created by bending the radius length around the arc of a circle. Continuing to add radius lengths, it takes a little more than 6 to complete the rotation. http://en.wikibooks.org/wiki/High_School_Trigonometry/Radian_Measure

17. Examples & Explanations http://en.wikibooks.org/wiki/High_School_Trigonometry/Radian_Measure

18. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

19. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

20. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

21. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

22. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

23. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

24. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

25. Examples & Explanations Adapted from Illustrative Mathematics F-TF, F-IF As the Wheel Turns

26. Examples & Explanations Given below is a graph that shows the population of rabbits in a national park over a 24 month period. Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

27. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

28. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

29. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

30. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

31. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

32. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

33. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

34. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

35. Examples & Explanations Adapted from Illustrative Mathematics F-TF Foxes and Rabbits 3

36. F.TF.8

37. 3 5 t

38. 3 5 t 4 (4,3)

39. F.TF.8 (-4,-3) 3 5 t (4,3) 4 (-4,3) (4,-3)

40. F.TF.8 (-4,-3) 3 5 t (4,3) 4 (-4,3) (4,-3)

41. F.TF.8

42. Analytic Geometry EOCT Released Items Released Items: Housed in the Assessment Division of GADOE http://www.gadoe.org/Curriculum-Instruction-and- Assessment/Assessment/Documents/Analytic%20Geometry% 20Released%20Items%20Booklet%20Revised%208-27- 13.pdf http://www.gadoe.org/Curriculum-Instruction-and- Assessment/Assessment/Documents/Analytic%20Geometry% 20Released%20Items%20Booklet%20Revised%208-27- 13.pdf Released Items Commentary: Housed in the Assessment Division of GADOE http://www.gadoe.org/Curriculum-Instruction-and- Assessment/Assessment/Documents/Analytic%20Geometry%2 0Released%20Items%20-%20Commentary%20Revised%208- 27-13.pdf There are 20 released items and commentary about each item available for Analytic Geometry

43. Analytic Geometry EOCT Released Items

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  Georgia Virtual Learning - http://www.gavirtuallearning.org/Resources.aspxhttp://www.gavirtuallearning.org/Resources.aspx  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/  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

46. Click here to access shared content www.gavirtuallearning.org/Resources.aspxwww.gavirtuallearning.org/Resources.aspx No password required! Georgia Virtual Learning

51. Resources 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

52. 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

53. 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 us on Twitter @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.