1. CCGPS Mathematics 8 th Grade Update Webinar Unit 5: Linear Functions December 13, 2013 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. What are update webinars? Update on the work of the 2013 Resource Revision Team  Overall revisions  Unit 5 revisions Addressing areas which teachers have found to be more challenging Resources

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

4. 8 th Grade CCGPS Unit Revisions Webinar Overview of Comprehensive Course Guide & Unit 5: Linear Functions

5. 8 th Grade Math Resource Revision Team Members Shelly Bydlinski - Glynn County School System Mandy Campbell- Floyd County School System Samantha Clay – Atlanta Public Schools Kim Conley - Lee County School System Joe Hardy – Bibb County School System

6. 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

7. Begin at www.georgiastandards.org

8. Accessing SLDS

9. 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

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

11. Select the Mathematics option under Browse CCGPS

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

13. Select the Grade 6 option

14. Direct Link to Page Select the Comprehensive Course Guide

15.  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 8 th Grade Math 8 th Grade Comprehensive Course Guide

16. This is your Comprehensive Course Guide

17.  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

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

19. 8 th Grade Standards

20. Standard Specific Information

21. 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.

22. Formative Assessment Lessons (FALs)

23. 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.

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

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

26. Examples of Resources

27. Unit 5 Linear Functions

28.  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

29.  Lines and Linear Equations – In this lesson students translate between equations and graphs and interpret speed as the slope of a linear graph.  Solving Real-Life Problems: Baseball Jerseys – In this lesson, students interpret a real-life situation and represent the variables mathematically. Formative Assessment Lessons

30.  Also, if you did not use the FAL, Modeling Situations with Linear Equations, from Unit 4 you might want to look at using it in Unit 5.  This task can be used in either Unit 4 or Unit 5. We decided to put it in Unit 4 so that teachers could see it earlier rather than later and decide when/if they want to use it. Formative Assessment Lessons

31. Selected Terms and Symbols

32. 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.

33. Lets look at a Task: What’s My Line

34. Lets look at a Task: What’s My Line?

38.  Use the Wiki to share information with other teachers and to ask questions.  This is a living document. Please share anything you may have to enhance this or any unit. The Wiki is the teacher community page to share anything you have.  The DOE CCGPS tab located at georgiastandards.org is static, viewable for anyone. Teacher editions and any updates or additional resources, including hot links, are only available through Learning Village.  If you are attending the Georgia Mathematics Conference at Rock Eagle in October, come visit us. Our session is Friday morning. Things to Remember

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

40. Eva, Carl, and Maria are computing the slope between pairs of points on the line shown below. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

41. Eva finds the slope between the points (0, 0) and (3, 2). Carl find the slope between the points (3, 2) and (9, 6). Maria finds the slope between the points (3, 2) and (9, 6). Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

42. Why should the slope be the same for the three students? Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

43. We can see that the blue and the green triangles are congruent since we can translate the green triangle up along the line until it lines up with the blue triangle. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

44. We can dilate the blue triangle by a factor of 2 to line it up with the red triangle. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

45. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

46. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

47. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

48. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

49. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

50. Unit 5 Challenges Adapted from Illustrative Mathematics 8.F Introduction to Linear Functions

51. Unit 5 Challenges Adapted from Illustrative Mathematics 8.F Introduction to Linear Functions

52. Unit 5 Challenges Adapted from Illustrative Mathematics 8.F Introduction to Linear Functions

53. 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://ccgpsmathematics6-8.wikispaces.com/http://ccgpsmathematics6-8.wikispaces.com/  CCGPS Mathematics Frameworks and Comprehensive Course Overviews - https://www.georgiastandards.org/Common-Core/Pages/Math-6-8.aspx https://www.georgiastandards.org/Common-Core/Pages/Math-6-8.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

54. 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.

55. 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/  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  Online Assessment System - http://bit.ly/OoyaK5http://bit.ly/OoyaK5  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/ Resources

56. www.gavirtuallearning.org/Resources.aspxwww.gavirtuallearning.org/Resources.aspx No password required! Georgia Virtual Learning

61. 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

62. 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

63. Thank You! 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.