1. CCGPS Mathematics Unit-by-Unit Grade Level Webinar Accelerated Analytic Geometry B/Advanced Algebra Unit 1: Extending the Number System May 8, 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 1: Extending the Number System May 8, 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. Expectations and clearing up confusion Intent and focus of Unit 1 webinar. Framework tasks. GPB sessions on Georgiastandards.org. Standards for Mathematical Practice. Resources. http://ccgpsmathematics9-10.wikispaces.com/

4. What is a Wiki? http://ccgpsmathematics9-10.wikispaces.com/

5. CCGPS Mathematics Sequence for Implementation

6. CCGPS Mathematics Resources for Implementation

7. The big idea of Unit 1 Standards for Mathematical Practice Resources Welcome!

8. Feedback http://ccgpsmathematics9-10.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

9. Parent Communication Explanation to parents of the need for change in mathematics What children will be learning in high school mathematics Parents partnering with teachers Grade level examples Parents helping children learn outside of school Additional resources http://www.cgcs.org/Page/244

10. Parent Communication An overview of what children will be learning in high school mathematics Topics of discussion for parent- teacher communication regarding student academic progress Tips for parents that will help their children plan for college and career http://www.achievethecore.org/leadership-tools-common- core/parent-resources/

11. Parent Communication An overview of what children will be learning in high school mathematics Topics of discussion for parent- teacher communication regarding student academic progress Tips for parents that will help their children plan for college and career http://www.achievethecore.org/leadership-tools-common- core/parent-resources/

12. Wiki/Email Questions

13. Imaginary numbers I see that we teach imaginary numbers prior to teaching students about quadratic equations, factoring, etc. Should this be reversed? Wiki/Email Questions

14. Conditional Probability and the Rules of Probability I don’t see the CP standards from Analytic Geometry in my copy of the Accelerated CCGPS Analytic Geometry B / Advanced Algebra standards, are we supposed to teach them? Wiki/Email Questions

16. Cost: $50 for GCTM members and $60 for GCTM non-members Travel expenses will be reimbursed for all participants who complete the academy and are Georgia certified K-12 educators under contract with a Georgia school Registration opened on April 1, 2013 Registration closing dates:  Academy 1 – May 15, 2013  Academy 2 – May 22, 2013  Academy 3 – May 29, 2013  Academy 4 – June 5, 2013 Payments must be received prior to the closing date of registration

17. Visit www.gctm.org for more details concerning these quality professional development opportunitieswww.gctm.org Call 1-855-ASK-GCTM (ext 4) for questions about the academy Peggy Pool – GCTM Vice President for Regional Services and Director of Academies, Academies2013@gctm.orgAcademies2013@gctm.org

18. Complete the following tables. Adapted from Illustrative Mathematics N.RN Operations with Rational and Irrational Numbers

19. Based on the information from your chart, conjecture which of the statements is ALWAYS true, which is SOMETIMES true, and which is NEVER true. The sum of a rational number and a rational number is rational. The sum of a rational number and an irrational number is irrational. The sum of an irrational number and an irrational number is irrational. The product of a rational number and a rational number is rational. The product of a rational number and an irrational number is irrational. The product of an irrational number and an irrational number is irrational. Adapted from Illustrative Mathematics N.RN Operations with Rational and Irrational Numbers

22. What’s the big idea? Extend the properties of exponents to rational exponents. Use properties of rational and irrational numbers. Perform arithmetic operations on polynomials. Perform arithmetic operations with complex numbers.

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

24. What’s the big idea? SMP 3 – Construct viable arguments and critique the reasoning of others  Student Sample Work  Feedback/Critique and Revision Expeditionary Learning http://elschools.org/student-work/butterfly-drafts

25. Coherence and Focus K-9 th  Algebraic expressions  Properties of operations  Rational and irrational numbers  Radicals and integer exponents with numerical expressions  11 th -12 th  Polynomial identities and equations  Polynomial, square root, and cube root functions

26. Examples & Explanations A biology student is studying bacterial growth, She was surprised to find that the population of the bacteria doubled every hour. Complete the following table: Adapted from Illustrative Mathematics N-RN Extending the Definitions of Exponents, Variation 2

27. Examples & Explanations The student conducting the study wants to create a table with more entries; specifically, she wants to fill in the population at each half hour. However she forgot to make these measurements so she want s to estimate the values. Complete the following table: Adapted from Illustrative Mathematics N-RN Extending the Definitions of Exponents, Variation 2

28. Examples & Explanations What if the student wanted to estimate the population every 20 minutes instead of every 30 minutes. What multiplier would be necessary to be consistent with the population doubling every hour? Complete the following table: Adapted from Illustrative Mathematics N-RN Extending the Definitions of Exponents, Variation 2

29. Examples & Explanations Adapted from Illustrative Mathematics N-RN Extending the Definitions of Exponents, Variation 2

30. Examples & Explanations Adapted from Illustrative Mathematics N-RN Extending the Definitions of Exponents, Variation 2

31. Examples & Explanations Adapted from Illustrative Mathematics N-RN Extending the Definitions of Exponents, Variation 2

32. Examples & Explanations A garden is created so that the garden bed is seven yards more than twice the width of the bed. A walkway is created around the garden that is 2 yards wide. Write an expression that represents the area of the walkway surrounding the garden. Adapted from Sophia.org Adding and Subtracting Polynomials in the Real World

33. Examples & Explanations A garden is created so that the garden bed is seven yards more than twice the width of the bed. A walkway is created around the garden that is 2 yards wide. Write an expression that represents the area of the walkway surrounding the garden. Adapted from Sophia.org Adding and Subtracting Polynomials in the Real World

34. Examples & Explanations Adapted from Sophia.org Adding and Subtracting Polynomials in the Real World

35. Examples & Explanations Adapted from Illustrative Mathematics N-CN, A-SSE Computations With Complex Numbers

36. Examples & Explanations Adapted from Illustrative Mathematics N-CN, A-SSE Computations With Complex Numbers

37. Examples & Explanations Adapted from Illustrative Mathematics N-CN, A-SSE Computations With Complex Numbers

38. Examples & Explanations Adapted from Illustrative Mathematics N-CN, A-SSE Computations With Complex Numbers

39. Examples & Explanations Adapted from Illustrative Mathematics N-CN, A-SSE Computations With Complex Numbers

40. Examples & Explanations Adapted from Illustrative Mathematics N-CN, A-SSE Computations With Complex Numbers

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. Resources http://www.learnzillion.com Learnzillion.com Review Common Mistakes Core Lesson Guided Practice Extension Activities Quick Quiz

43. Resources http://www.illustrativemathematics.org/

44. Common Core 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 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/  PARCC - http://www.parcconline.org/http://www.parcconline.org/  Online Assessment System - http://bit.ly/OoyaK5http://bit.ly/OoyaK5 Resources

45. 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  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/  Timon Piccini – http://mrpiccmath.weebly.com/3-acts.htmlhttp://mrpiccmath.weebly.com/3-acts.html  Dan Anderson – http://blog.recursiveprocess.com/tag/wcydwt/http://blog.recursiveprocess.com/tag/wcydwt/

46. 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.