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CCGPS Mathematics6th Grade Update Webinar
Unit 7: Rational Explorations: Numbers and their Opposites
March 14, 2014
James Pratt – [email protected] Brooke Kline – [email protected] Mathematics Specialists
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These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
• 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?
2013 6th Grade Resource Revision Team
6th Grade Math Resource Revision Team
Tonya Burt- Lincoln County Middle School
Anne Miller Gay – MS Math Coach, Camden County
Beverly Harvey- Ebenezer MS, Effingham County
Janet Kennedy – Kittredge Magnet School, Dekalb County
Ashley Powell – Marietta 6th Grade Academy, Marietta City
Unit 7: Rational Explorations: Numbers and Their Opposites
Standards for Mathematical PracticeStrategies for Teaching and Learning Changes to Tasks
UNIT 7
Standards for Mathematical Practice
Specific Standards for Mathematical Practice
Below are the relevant Standards for Mathematical Practice for the task: WHAT’S YOUR SIGN?
UNIT 7
Strategies for Teaching and Learning
The Strategies for Teaching and Learning section has some very important notes regarding concepts and the intent of this unit, as the foundation for Integers is set here in sixth grade.
UNIT 7
Strategies for Teaching and Learning
Unit 7 Changes
TASKS Kept the Same: Representing Rational Numbers on the Number Line Symbols of Inequalities and the Coordinate System Graphing on the Coordinate Plane Sounds of the BandMinor typo corrections to some of these, nothing significant!
Unit 7 Changes
TASKS Changed and Added: What’s Your Sign?
Note the STOP sign: Discussion of opposite numbers should occur at this time.
Absolute Value and Ordering
Unit 7 Changes
TASK ADDED: Absolute Value and Ordering
Two versions of this task Version 1: Scaffolded Version 2: Open-ended
Includes an emphasis on 6.NS.7d. Distinguish between comparisons of absolute value and statements about order
For negative numbers, as the absolute value of a number increases, the value of the number decreases!
Great opportunity for mathematical
discourse!
NEW FALS for 6th Grade!
Proportional Reasoning Possibly with Unit 2
Fractions, Decimals and Percents Assessing comparing & ordering positive rationals before introducing negatives
KEEP CHECKING BACK TO THE
COMPREHENSIVE COURSE GUIDE
THE FLIP CHART
ILLUSTRATIVE MATHLEARNZILLION
ROBERT KAPLINSKYINSIDE MATHEMATICS
AND OTHERRESOURCES SUGGESTED BY THE DOE
Remember…
The table shows the lowest elevation above sea level for three cities.
Adapted from Illustrative Mathematics 6.NS Above and below sea level
Unit 7 Challenges
City, State Elevation above sea level (ft)
Elevation below sea level (ft)
Denver, Colorado 5130
New Orleans, Louisiana -8
Seattle, Washington 0
The table shows the lowest elevation above sea level for three cities.
New Orleans is |-8| ft below sea level. T or F
Adapted from Illustrative Mathematics 6.NS Above and below sea level
Unit 7 Challenges
City, State Elevation above sea level (ft)
Elevation below sea level (ft)
Denver, Colorado 5130
New Orleans, Louisiana -8
Seattle, Washington 0
The table shows the lowest elevation above sea level for three cities.
Seattle is 0 ft below sea level. T or F
Adapted from Illustrative Mathematics 6.NS Above and below sea level
Unit 7 Challenges
City, State Elevation above sea level (ft)
Elevation below sea level (ft)
Denver, Colorado 5130
New Orleans, Louisiana -8
Seattle, Washington 0
The table shows the lowest elevation above sea level for three cities.
Denver is |5130| ft below sea level. T or F
Adapted from Illustrative Mathematics 6.NS Above and below sea level
Unit 7 Challenges
City, State Elevation above sea level (ft)
Elevation below sea level (ft)
Denver, Colorado 5130
New Orleans, Louisiana -8
Seattle, Washington 0
The table shows the lowest elevation above sea level for three cities.
Adapted from Illustrative Mathematics 6.NS Above and below sea level
Unit 7 Challenges
City, State Elevation above sea level (ft)
Elevation below sea level (ft)
Denver, Colorado 5130 -5130
New Orleans, Louisiana -8 8
Seattle, Washington 0 0
Adapted from Illustrative Mathematics 6.NS Distance between points
Unit 7 Challenges
What is the distance between points B and C?
Adapted from Illustrative Mathematics 6.NS Distance between points
Unit 7 Challenges
What is the distance between points B and C?
Adapted from Illustrative Mathematics 6.NS Distance between points
Unit 7 Challenges
What is the distance between points B and C?
5 units
Adapted from Illustrative Mathematics 6.NS Distance between points
Unit 7 Challenges
What is the distance between points B and C?B is |2| units above the x-axis.C is |3| units below the x-axis.
Adapted from Illustrative Mathematics 6.NS Distance between points
Unit 7 Challenges
What is the distance between points B and C?B is |2| units above the x-axis.C is |3| units below the x-axis.Total distance:|2| + |3| = 5 units
Adapted from Illustrative Mathematics 6.NS Distance between points
Unit 7 Challenges
• GaDOE Resources Fall 2011 CCGPS Standards for Mathematical Practices Webinars - 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 2012 – 2013 CCGPS Mathematics Unit-by-Unit Webinar Series - https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx Georgia Mathematics Teacher Forums - http://ccgpsmathematics9-10.wikispaces.com/ CCGPS Mathematics Frameworks and Comprehensive Course Overviews - 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
Resources
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
• CCGPS Resources Georgia Virtual Learning - http://www.gavirtuallearning.org/Resources.aspx SEDL videos - http://bit.ly/RwWTdc or http://bit.ly/yyhvtc Illustrative Mathematics - http://www.illustrativemathematics.org/ Mathematics Vision Project - http://www.mathematicsvisionproject.org/index.html LearnZillion - http://learnzillion.com/ ShareMyLesson - http://www.sharemylesson.com/
• Assessment Resources MAP - http://www.map.mathshell.org.uk/materials/index.php Illustrative Mathematics - http://illustrativemathematics.org/ CCSS Toolbox: PARCC Prototyping Project - http://www.ccsstoolbox.org/ Smarter Balanced - http://www.smarterbalanced.org/smarter-balanced-assessments/ PARCC - http://www.parcconline.org/ Online Assessment System - http://bit.ly/OoyaK5
Resources
sharemylesson.comhttp://www.sharemylesson.com/teaching-resources/
sharemylesson.comhttp://www.sharemylesson.com/teaching-resources/
sharemylesson.comhttp://www.sharemylesson.com/teaching-resources/
sharemylesson.comhttp://www.sharemylesson.com/teaching-resources/
• Professional Learning Resources Inside Mathematics- http://www.insidemathematics.org/ Edutopia – http://www.edutopia.org Teaching Channel - http://www.teachingchannel.org Achieve - http://www.achieve.org/ Expeditionary Learning: Center for Student Work - http://elschools.org/student-work
• Blogs Dan Meyer – http://blog.mrmeyer.com/ Robert Kaplinsky - http://robertkaplinsky.com/ Estimation 180 - http://www.estimation180.com/ Graphing Stories - http://graphingstories.com/
• Books Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8
Resources
http://www.surveymonkey.com/s/WZKG5G2
James Pratt – [email protected] Brooke Kline – [email protected]
Feedback
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.aspxto join the 6-8 Mathematics email listserve.
Follow on Twitter!Follow @GaDOEMath
Brooke KlineProgram Specialist (6‐12)
James PrattProgram Specialist (6-12)
These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
Thank You!
