1. CCGPS Mathematics 8 th Grade Update Webinar Unit 7: Solving Systems of Equations March 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 7 revisions Addressing areas which teachers have found to be more challenging Resources What are update webinars?

3. Samantha Clay APS Shelly Bydlinski Glynn Co. Schools Kim Conley Lee Co. Joe Hardy Bibb Co. Mandi Campbell Floyd Co. 2013 8 th Grade Resource Revision Team

4. 8 th Grade CCGPS Unit Revisions Webinar Overview of Comprehensive Course Guide & Unit 7: Solving Systems of Equations

5. Create a Comprehensive Course Guide which would:  Provide an overview of the 8 th Grade Mathematics Curriculum  Provide clarification of CCGPS Mathematics Standards  Link together many sources of information pertinent to CCGPS 8 th Grade Math Update the Units by:  Increasing Task Options  Developing Differentiation Opportunities within each task. Resource Revision Team Goals

6. Begin at www.georgiastandards.org

7. Accessing SLDS

8. Accessing Resources through SLDS Click on the “RESOURCES” tab at the top Choose “Search by Subject” Using the drop down boxes, choose your Subject, Grade Level, and Course Name Click “Get Resources” Choose the “Teacher Tools” tab 1st 2nd 3rd 4th

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

10. Select the Mathematics option under Browse CCGPS

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

12. Select the Grade 6 option

13. Direct Link to Page Select the Comprehensive Course Guide

14. This is your Comprehensive Course Guide

15.  Standards are hyperlinked to the Flipbooks providing teaching strategies, misconceptions, and prior knowledge  Formative Assessment Lesson (FAL) information and video links  Internet Resources Sections of Interest

16.  Click on blue hyperlink to access  The Flipbooks offer clarification  Very Large File (slow loading) Flipbooks

17. 8 th Grade Standards

18. Standard Specific Information

19. Task Descriptions Scaffolding Task - Tasks that build up to the learning task. Learning Task - Constructing understanding through deep/rich contextualized problem solving tasks. Practice Task - Tasks that provide students opportunities to practice skills and concepts. Performance Task - Tasks which may be a formative or summative assessment that checks for student understanding/misunderstanding and or progress toward the standard/learning goals at different points during a unit of instruction. Culminating Task - Designed to require students to use several concepts learned during the unit to answer a new or unique situation. Allows students to give evidence of their own understanding toward the mastery of the standard and requires them to extend their chain of mathematical reasoning. Achieve CCSS- CTE - Designed to demonstrate how the Common Core and Career and Technical Classroom Tasks - Education knowledge and skills can be integrated. The tasks provide teachers with realistic applications that combine mathematics and CTE content. Short Cycle Task - Designed to exemplify the performance targets that the standards imply. The tasks, with the associated guidance, equip teachers to monitor overall progress in their students’ mathematics. Formative Assessment Lesson (FAL) - Lessons that support teachers in formative assessment which both reveal and develop students’ understanding of key mathematical ideas and applications. These lessons enable teachers and students to monitor in more detail their progress towards the targets of the standards.

20. Formative Assessment Lessons (FALs)

21. Formative Assessment Lessons (“Classroom Challenges”) Developed by the Shell Center Embedded in the FY14 Units, also available at http://map.mathshell.org.uk/materials/lessons.php http://map.mathshell.org.uk/materials/lessons.php Intended to guide instructional decisions for the rest of the unit Not intended to be graded, but for feedback Very beneficial to addressing student misconceptions Additional FALs are in the editing process.

22. For the FALs click on this tab For the Short Cycle Tasks click on this tab Make sure to choose the Correct grade level

23. Internet Resources Webinar Information General Resources Problem-Based Learning Assessment and Instructional Support Resources

24. Examples of Resources

25. Unit 7 Solving Systems of Equations

26.  Slight change of format  Inclusion of Formative Assessment Lessons from the Shell Center  Included Standards for Mathematical Practice (SMPs) for each Task and differentiation options  Suggestions sent by educators from all over the United States via email and the wiki  Observations made from personal experiences Overall Changes in the Unit

27. Selected Terms and Symbols

28. Note: In the Teacher’s Edition (found in the Learning Village), the Task Table includes hyperlinks to the Formative Assessment Lessons (FALs). The links are also found on the individual task pages within the unit.

29.  Fencing: Short Cycle Task – In this task, you must figure out the cost of building fences from fence posts and wooden panels.  Optimization Boomerang: FAL – Use system of equations to find the maximum amount of money which could be raised.  Classifying Solutions to Systems of Equations: FAL – Classify solutions to a pair of linear equations by considering their graphical representations. Task Additions

30. Let’s take a closer look at a Performance Task in Unit 8: Playing with Straws

31. A new section has been included in each task to list the appropriate Standards for Mathematical Practice (SMPs).

32. The standards are hyperlinked to the CCGPS document which can also be found at www.georgiastandards.org www.georgiastandards.org

33. Common Misconceptions have been identified for each task to assist teachers in guiding the students to success.

34. Playing With Straws

35. Differentiation, including both Extensions and Intervention/Scaffolding, have also been provided for this task and other tasks in Unit 8.

36.  Use the Wiki to share information with other teachers and to ask questions.  These units are living documents. Please share anything you may have to enhance this or any unit. The Wiki is the teacher community page to share anything you have. Things to Remember

37. THE WIKI

38. Your comments are greatly appreciated: http://ccgpsmathematics6-8.wikispaces.com/home Feedback

39. The local swim center is making a special offer. They usually charge $7 per day to swim at the pool. This month swimmers can pay an enrollment fee of $30 and then the daily pass will only be $4 per day. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

40. The local swim center is making a special offer. They usually charge $7 per day to swim at the pool. This month swimmers can pay an enrollment fee of $30 and then the daily pass will only be $4 per day. Determine which deal is best. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

41. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

42. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

43. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

44. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

45. http://bit.ly/1eRkTWR Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

46. Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

47. Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

48. Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

49. Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

50. http://bit.ly/1fEOdeu Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

51. 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

52. 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

53. 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  LearnZillion - http://learnzillion.com/http://learnzillion.com/  ShareMyLesson - http://www.sharemylesson.com/http://www.sharemylesson.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

54. sharemylesson.com http://www.sharemylesson.com/teaching-resources/

55. sharemylesson.com http://www.sharemylesson.com/teaching-resources/

56. sharemylesson.com http://www.sharemylesson.com/teaching-resources/

57. sharemylesson.com http://www.sharemylesson.com/teaching-resources/

58. 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

59. 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

60. 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!