1. CCGPS Mathematics Unit-by-Unit Grade Level Webinar Accelerated Analytic Geometry B/Advanced Algebra Unit 8: Exponential and Logarithms October 3, 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 8: Exponential and Logarithms October 3, 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 8 Incorporating SMPs into exponentials and logarithms Resources Welcome!

4. Adapted from Illustrative Mathematics A-SSE Forms of exponential expressions

10. What’s the big idea? Write expressions in equivalent forms to solve problems Analyze functions using different representations Build new functions from existing functions Construct and compare linear, quadratic, and exponential models and solve problems.

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

12. Coherence and Focus K-9 th  Rewrite expressions  Linear functions  Exponential Functions  Quadratic functions 11th-12th  Solve and graph functions  Model with functions.

13. Examples & Explanations Adapted from Illustrative Mathematics F-LE Bacteria Populations

14. Examples & Explanations Adapted from Illustrative Mathematics F-LE Bacteria Populations

15. Examples & Explanations Adapted from Illustrative Mathematics F-LE Bacteria Populations

16. Examples & Explanations Adapted from Illustrative Mathematics F-BF Exponentials and Logarithms I

17. Examples & Explanations Adapted from Illustrative Mathematics F-BF Exponentials and Logarithms I

18. Examples & Explanations Adapted from Illustrative Mathematics F-BF Exponentials and Logarithms I

19. Examples & Explanations Adapted from Illustrative Mathematics F-BF Exponentials and Logarithms I

20. Examples & Explanations Graphene is a 1 atom thick layer of graphite with many interesting properties and uses. Suppose the thickness of graphene is 200 picometers: one picometer is one trillionth of a meter. About how many times would you have to split a 1 mm thick sample of graphite in half in order to get a single layer of graphene? Adapted from Illustrative Mathematics F-LE.4 Graphene

21. Examples & Explanations Adapted from Illustrative Mathematics F-LE.4 Graphene

22. Examples & Explanations Adapted from Illustrative Mathematics F-LE.4 Graphene

23. Examples & Explanations Adapted from Illustrative Mathematics F-LE.4 Graphene

24. Examples & Explanations Adapted from Illustrative Mathematics F-LE.4 Graphene

25. Examples & Explanations What is the relationship between the graphs of exponential functions and logarithmic functions?

26. Examples & Explanations What is the relationship between the graphs of exponential functions and logarithmic functions?

27. 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.

28. 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

30. 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

31. 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

32. 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.