1. CCGPS Mathematics 7 th Grade Update Webinar Unit 6: Probability February 14, 2014 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. Update on the work of the 2013 Resource Revision Team  Overall revisions  Unit 6 revisions Addressing areas which teachers have found to be more challenging Resources What are update webinars?

3. 2013 8 th Grade Resource Revision Team Tiffany Evans Whitfield Co. Amanda Wilhelm Cherokee Co. McKendree Ramsell Barrow Co. Leigh Kitchens Henry Co. Elizabeth Oliver Okefenokee RESA

4. Unit 6: Probability 7th grade Mathematics

5. 7 th Grade Comprehensive Course Overview Located on the 6-8 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 7 th Grade Standards The comprehensive course overviews in grades 6-8 are similar to “grade level overviews” in K-5. They have been created for Coordinate Algebra and Analytic Geometry as well, making them a great tool for vertical alignment.

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

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

8. Select the Mathematics option under Browse CCGPS

9. Select the 6-8 option in the Mathematics section

10. Expand the 7th Grade Course

11. Select the Comprehensive Course Overview Expande Coordinate Algebra

13. Sections of Interest Critical areas of focus for the course Flipbook Links for each 7 th Grade CCGPS Standard Formative Assessment Lesson Information Unit Descriptions: Overview 7 th Grade Curriculum Map Additional Resource Links and Instructional Support

14. Formative Assessment Lessons

15. 6-8 CCGPS Wikispace www.ccgpsmathematics6-8.wikispaces.com

16. Rationale for Unit 6 Revisions Prior to RevisionsAfter Revisions The introductory segment was too lengthy and not “teacher- friendly”; could not be consumed efficiently, so many teachers would skip this section. Differentiation suggestions have been incorporated for both enrichment and remediation Some standards were overrepresented by multiple tasks while other standards had no aligned task. Some tasks were removed or heavily edited in order to increase rigor and clarity while others were created. Many of the student versions of tasks needed more clarity in directions and more structure to help guide student responses. Links and explanations for Formative Assessment Lessons and Short Cycle Tasks provided by Shell Centre.

17. Task Table Notes

18. Unit 6 Tasks The Unit 6 Tasks Primarily Address: – Determining the probability of an event and describing its likelihood – Developing probability models – Finding probability of compound events using sample spaces – Designing and using simulations to find probability

19. Purpose of the Tasks Provide Opportunities for Problem-Based Learning – Examples: 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.

20. UnitTasks Added or deleted *Merged with another task FALSShort Cycle Tasks 6 Probability on a Number Line* What’s Your Outcome? Charity Fair Lottery Spinner Bingo Card Game

21. Specific Task Comments and Explanations

22. MARS Short Cycle Tasks

24. Uses a random number generator Examples of simulations include drawing from a deck of cards, choosing from a bag of colors, using technology, etc. Encourage students to create their own simulations when given a problem. The lesson found in the framework was edited to include not only more explanation for the student, but also a more detailed description for teachers.

25. Just A Friendly Reminder… The Unit 6 Frameworks are meant to be seen as GUIDELINES – Take from the frameworks what you need for your students to be successful – Note that there are more tasks included within the unit – It is not feasible nor expected to complete all of the assigned tasks within an academic year

26. Read the following situations and determine which of the devices listed can be used to conduct a simulation In a family of 5, what is the probability that three of the members are male? Adapted from Designing Simulations: http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf Unit 6 Challenges

27. In a family of 5, what is the probability that three of the members are male? Coin Spinner Playing Cards Number Cube Random Number Table Random Number Generator Adapted from Designing Simulations: http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf Unit 6 Challenges

28. In a family of 5, what is the probability that three of the members are male? Coin - yes Spinner - yes Playing Cards - yes Number Cube - yes Random Number Table - yes Random Number Generator - yes Adapted from Designing Simulations: http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf Unit 6 Challenges

29. The probability that a student gets an A or B on a Chapter Test is 1/3. What is the probability that a student chosen at random does not get an A or a B on the test? Coin Spinner Playing Cards Number Cube Random Number Table Random Number Generator Adapted from Designing Simulations: http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf Unit 6 Challenges

30. The probability that a student gets an A or B on a Chapter Test is 1/3. What is the probability that a student chosen at random does not get an A or a B on the test? Coin - no Spinner - yes Playing Cards - yes Number Cube - yes Random Number Table - yes Random Number Generator - yes Adapted from Designing Simulations: http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf Unit 6 Challenges

31. In a random survey, 68% of high school students report that they have less than an hour of homework on a given night. What is the probability that a high school student selected at random will have les than an hour of homework on any given night. Coin Spinner Playing Cards Number Cube Random Number Table Random Number Generator Unit 6 Challenges

32. In a random survey, 68% of high school students report that they have less than an hour of homework on a given night. What is the probability that a high school student selected at random will have les than an hour of homework on any given night. Coin - no Spinner - no Playing Cards - no Number Cube - no Random Number Table - yes Random Number Generator - yes Unit 6 Challenges

33. How many different ways can a red, blue and green marble be pulled from a bag? What is the probability of getting green, blue and red in that order?

34. I’m debating whether to enter a contest that has been proposed by my parents. A red, green, and blue marble have been placed in a bag. If I select the green, blue, and red marble, in that order, I do not have to do any chores for the month. If the green, blue, and red marble are selected in any other order, then I must not only do my chores for the month, but do a list of additional chores for the month that my parents have selected. Should I enter this contest with my parents?

35. How many different ways can a red, blue and green marble be pulled from a bag? What is the probability of getting green, blue and red in that order?

36. Core Lesson

38. 1 2 3 4 5 6

39. 1 2 3 4 5 6 What is the probability of getting green, blue and red in that order?

40. Core Lesson 1 2 3 4 5 6 P(g, b, r)=

41. 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

42. 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. Resources

43. 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

44. Professional Learning Resources  Inside Mathematics- http://www.insidemathematics.org/http://www.insidemathematics.org/  Edutopia – http://www.edutopia.orghttp://www.edutopia.org  Teaching Channel - http://www.teachingchannel.orghttp://www.teachingchannel.org  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/  Estimation 180 - http://www.estimation180.com/http://www.estimation180.com/  Graphing Stories - http://graphingstories.com/http://graphingstories.com/ Books  Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8 Resources

45. Estimation 180 http://www.estimation180.com/

46. Estimation 180 http://www.estimation180.com/

47. Estimation 180 http://www.estimation180.com/

48. Graphing Stories http://graphingstories.com/

49. Graphing Stories http://graphingstories.com/

50. 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 Feedback

51. Please visit http://ccgpsmathematics6-8.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 6-8 Mathematics email listserve. Follow on Twitter! Follow @GaDOEMathhttp://ccgpsmathematics6-8.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. Thank You!