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CCGPS Mathematics 8 th Grade Update Webinar Unit 6: Linear Models and Tables 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.

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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?

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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

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8 th Grade CCGPS Unit Revisions Webinar Overview of Comprehensive Course Guide & Unit 6: Linear Models and Tables

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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

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Begin at www.georgiastandards.org

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Accessing SLDS

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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

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Select the CCGPS ELA/Math Tab Direct Link to Page

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Select the Mathematics option under Browse CCGPS

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Select the 6-8 option in the Mathematics section

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Select the Grade 6 option

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Direct Link to Page Select the Comprehensive Course Guide

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This is your Comprehensive Course Guide

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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

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

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8 th Grade Standards

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Standard Specific Information

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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.

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Formative Assessment Lessons (FALs)

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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.

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

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

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Examples of Resources

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Unit 6 Linear Models & Tables

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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

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Selected Terms and Symbols

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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.

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Sugar Prices– Short Cycle Task - In this task, you must use a graph showing the prices and weights of bags of sugar to find the bag offering the best value for money.. Interpreting Distance-Time Graphs– FAL: Concept Development - This lesson is intended to help you assess how well students are able to interpret distance–time graphs &, in particular, to help you identify students who: Interpret distance–time graphs as if they are pictures of situations rather than abstract representations of them. Have difficulty relating speeds to slopes of these graphs. Sports & Musical Instruments – Learning Task Two-Way Tables – Learning Task Task Additions

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Short Cycle Task: SUGAR PRICES

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Formative Assessment Lesson: INTERPRETING DISTANCE-TIME GRAPHS

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Learning Task: SPORTS & MUSICAL INSTRUMENTS Is there an association between whether a student plays a sport and whether he or she plays a musical instrument? To investigate this, each student in your class should answer the following two questions as you collect the data as a whole class: Do you play a sport? (yes or no) Do you play a musical instrument? (yes or no)

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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

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THE WIKI

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

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Jerry forgot to plug in his laptop before he went to bed. He wants to take the laptop to his friend’s house with a full battery. The pictures shows screenshots of the battery charge indicator after he plugs in the computer at 9:11 a.m. Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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Jerry forgot to plug in his laptop before he went to bed. He wants to take the laptop to his friend’s house with a full battery. The pictures shows screenshots of the battery charge indicator after he plugs in the computer at 9:11 a.m. Using the data and a scatterplot determine when Jerry can expect to have a fully charged battery? Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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(time since plugged in, battery charge) Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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(time since plugged in, battery charge) (0, 41) (16, 56) (25, 64) (37, 74) (44, 79) (57, 86) (66, 91) Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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(time since plugged in, battery charge) (0, 41) (16, 56) (25, 64) (37, 74) (44, 79) (57, 86) (66, 91) Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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(time since plugged in, battery charge) (0, 41) (16, 56) (25, 64) (37, 74) (44, 79) (57, 86) (66, 91) Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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Adapted from Illustrative Mathematics 8.SP Laptop Battery Charge Unit 6 Challenges

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Let’s Review Core Lesson A survey of 8 th graders at a middle school found that 73 students own a cell phone and 60 of those students also own an MP3 player. There are 9 students that do not own a cell phone, but own an MP3 player. Eight students do not own either device.

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Let’s Review Core Lesson A survey of 8 th graders at a middle school found that 73 students own a cell phone and 60 of those students also own an MP3 player. There are 9 students that do not own a cell phone, but own an MP3 player. Eight students do not own either device Do 8 th grade students still use MP3 players?

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Let’s Review Core Lesson Cell Phone No Cell Phone Total MP3 Player No MP3 Player Total A survey of 8 th graders at a middle school found that 73 students own a cell phone and 60 of those students also own an MP3 player. There are 9 students that do not own a cell phone, but own an MP3 player. Eight students do not own either device

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Let’s Review Core Lesson Cell Phone No Cell Phone Total MP3 Player 609 69 No MP3 Player 13 8 21 Total7317 69+21= 73+17= 90

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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

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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

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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

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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

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

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

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

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Graphing Stories http://graphingstories.com/

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Graphing Stories http://graphingstories.com/

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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

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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!

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