1. CCGPS Mathematics Unit-by-Unit Grade Level Webinar Accelerated Analytic Geometry B/Advanced Algebra Unit 10: Mathematical Modeling November 14, 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 10: Mathematical Modeling November 14, 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 10 Incorporating SMPs into mathematical modeling Resources Welcome!

4.  Question: In the Middle School and Coordinate Algebra Unit Frameworks, I noticed they have included both Formative Assessment Lessons (FAL) and Short Cycle Tasks (SCT) from the Mathematics Assessment Project. Why do the Acc. Analytic Geometry B/Advanced Algebra Unit Frameworks only contain FALs? Wiki/Email Questions http://map.mathshell.org/materials/index.php

5. Wiki/Email Questions  Formative Assessment Lesson (FAL)/Classroom Challenges http://map.mathshell.org/materials/index.php

6. Wiki/Email Questions  Short Cycle Task (SCT)/Assessment Tasks (Novice, Apprentice, Expert) http://map.mathshell.org/materials/index.php

7. Analytic Geometry Short Cycle Tasks  Unit 1 – The Real Number System, Cross Totals, Arithmetic with Polynomial and Rational Expressions  Unit 2 – Sidewalk Stones, Patchwork, Table Tiles, Building Functions, Functions, Reasoning with Equations & Inequalities, Seeing Structure in Expressions  Units 3 & 4 – only contain FALs  Units 5, 6, 7, 8, 9, & 10 – do not contain SCTs or FALs

8. Teacher Edition – page 100 All four functions are neither odd nor even. Unit 2: Parent Graphs Revisited Task

9. Below are the graphs of four different functions. Adapted from Illustrative Mathematics F-IF Analyzing Graphs

10. Match the function with its graph; justify your answers with appropriate explanations. Use the graphs to make determinations about a, b, c, k, m, p, q, and r.

11. What’s the big idea? Create equations that describe numbers or relationships Interpret functions that arise in applications n terms of the context Analyze functions using different representations Build a function that models a relationship between two quantities Build new functions from existing functions Visualize relationships between two-dimensional and three-dimensional objects Apply geometric concepts in modeling situations.

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

13. What’s the big idea? Dan Meyer Robert Kaplinsky Teaching Channel Illustrative Mathematics Expeditionary Learning MAP Standards for Mathematical Practice

14. Coherence and Focus K-9 th  Geometric shapes and measurement  Cross sections  Rewrite expressions  Functions  Model with functions 11th-12th  Functions  Model with functions.

15. Examples & Explanations Adapted from Illustrative Mathematics F-BF Rainfall 0153045607590105120 00.50.751.322.73.54.25

16. Examples & Explanations Adapted from Illustrative Mathematics F-BF Rainfall 0153045607590105120 00.50.751.322.73.54.25

17. Examples & Explanations Adapted from Illustrative Mathematics F-BF Rainfall 0153045607590105120 00.50.751.322.73.54.25

18. Examples & Explanations Adapted from Illustrative Mathematics F-BF Rainfall 0153045607590105120 00.50.751.322.73.54.25

19. Examples & Explanations Adapted from Illustrative Mathematics F-BF Rainfall 0153045607590105120 00.50.751.322.73.54.25

20. Examples & Explanations Adapted from Illustrative Mathematics F-BF Rainfall 0153045607590105120 00.50.751.322.73.54.25

21. Examples & Explanations Create a price table for the quantity of donuts purchased, from 0 to 15. http://scottkeltner.weebly.com/1/post/2012/10/piecewise-defined-functions-using-donuts-foldables-and-calculators.html

22. Examples & Explanations Create a price table for the quantity of donuts purchased, from 0 to 15. http://scottkeltner.weebly.com/1/post/2012/10/piecewise-defined-functions-using-donuts-foldables-and-calculators.html DonutsCost 00.00 10.99 21.98 32.97 43.96 54.95 65.49 76.48 DonutsCost 87.47 98.46 109.45 1110.44 129.99 1310.98 1411.97 1512.96

23. Examples & Explanations Graph the relationship. http://scottkeltner.weebly.com/1/post/2012/10/piecewise-defined-functions-using-donuts-foldables-and-calculators.html DonutsCost 00.00 10.99 21.98 32.97 43.96 54.95 65.49 76.48 DonutsCost 87.47 98.46 109.45 1110.44 129.99 1310.98 1411.97 1512.96

24. Examples & Explanations Graph the relationship. http://scottkeltner.weebly.com/1/post/2012/10/piecewise-defined-functions-using-donuts-foldables-and-calculators.html DonutsCost 00.00 10.99 21.98 32.97 43.96 54.95 65.49 76.48 DonutsCost 87.47 98.46 109.45 1110.44 129.99 1310.98 1411.97 1512.96

25. Examples & Explanations Create a function that will model the relationship. http://scottkeltner.weebly.com/1/post/2012/10/piecewise-defined-functions-using-donuts-foldables-and-calculators.html DonutsCost 00.00 10.99 21.98 32.97 43.96 54.95 65.49 76.48 DonutsCost 87.47 98.46 109.45 1110.44 129.99 1310.98 1411.97 1512.96

26. Examples & Explanations http://scottkeltner.weebly.com/1/post/2012/10/piecewise-defined-functions-using-donuts-foldables-and-calculators.html DonutsCost 00.00 10.99 21.98 32.97 43.96 54.95 65.49 76.48 DonutsCost 87.47 98.46 109.45 1110.44 129.99 1310.98 1411.97 1512.96

27. Examples & Explanations http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf 8004 9003 10002 11001 12000 13001 14002 15003 16004

28. Examples & Explanations Create a scatterplot that represents the data in the table. http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf 8004 9003 10002 11001 12000 13001 14002 15003 16004

29. Examples & Explanations http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf 8004 9003 10002 11001 12000 13001 14002 15003 16004

30. Examples & Explanations What function or functions might you use to describe the scatterplot? http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf 8004 9003 10002 11001 12000 13001 14002 15003 16004

31. Examples & Explanations Find two linear functions that pass through the data points. http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf 8004 9003 10002 11001 12000 13001 14002 15003 16004

32. Examples & Explanations http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf

33. Examples & Explanations http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf

34. Examples & Explanations http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf

35. Examples & Explanations http://www.txar.org/training/materials/Algebra_II/10MAPAbsoluteValueStudentLesson03142007.pdf

36. Adapted from Illustrative Mathematics F-IF Analyzing Graphs

39. 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 18 released items and commentary about each item available for Analytic Geometry

40. Analytic Geometry EOCT Released Items

41. 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.

42. 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

43. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go A more “user friendly” version of the Learnzillion lessons support learning new strategies, sharing with parents, helping absent students.

44. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go

45. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go

46. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go

47. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go

48. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go

49. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go

50. LearnZillion Revised http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go

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/  Expeditionary Learning: Center for Student Work - http://elschools.org/student-workhttp://elschools.org/student-work 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.