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![Page 1: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/1.jpg)
CCGPS Mathematics8th Grade Update Webinar
Unit 3: Geometric Applications of ExponentsOctober 11, 2013
James Pratt – [email protected] Brooke Kline – [email protected] 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.
![Page 2: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/2.jpg)
What are update webinars?
• Update on the work of the 2013 Resource Revision Team Overall revisions Unit 3 revisions
• Addressing areas which teachers have found to be more challenging• Resources
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2013 8th Grade Resource Revision Team
Samantha Clay APS
Shelly BydlinskiGlynn Co. Schools
Kim Conley Lee Co.
Joe Hardy Bibb Co.
Mandi Campbell Floyd Co.
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8th Grade CCGPS Unit Revisions
WebinarOverview of
Comprehensive Course Guide&
Unit 3: Geometric Applications of Exponents
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8th 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
![Page 6: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/6.jpg)
Located on the 6-8 math section of www.georgiastandards.org
Designed to provide clarification of CCGPS Mathematics Standards
Organized to link together many sources of information pertinent to CCGPS 8th Grade Math
8th Grade Comprehensive Course Overview
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Begin at www.georgiastandards.org
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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 8 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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Formative Assessment Lessons (FALs)
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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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Unit 3Geometric
Applications of Exponents
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Slight change of format
Inclusion of Short Cycle Tasks and Formative Assessment Lessons from the Shell Center
An Achieve CCSS-CTE Classroom Task was added to integrate CTE Knowledge and Skills in classroom learning.
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
![Page 19: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/19.jpg)
Proofs of the Pythagorean Theorem - Analyze attempts to prove the Pythagorean Theorem.
Circles and Squares - Apply the Pythagorean Theorem to find the ratio between two shapes.
Short Cycle Tasks
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The Pythagorean Theorem: Square Area - Use the Pythagorean Theorem to find lengths and areas and use the area of right triangles to deduce the areas of other shapes.
Making Matchsticks - Apply the volume formula to real-world situations.
Calculating Volumes of Compound Objects - Apply volume formulas to compound objects.
Formative Assessment Lessons
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CCSS – CTE Task
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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) and Short Cycle Tasks. The links are also found on the individual
task pages within the unit.
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Lets look at a Task: Acting Out
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Lets look at a Task: Acting Out
![Page 26: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/26.jpg)
Lets look at a Task: Acting Out
![Page 27: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/27.jpg)
Lets look at a Task: Acting Out
![Page 28: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/28.jpg)
Lets look at a Task: Acting Out
![Page 29: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/29.jpg)
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
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Your comments are greatly appreciated:
http://ccgpsmathematics6-8.wikispaces.com/home
Feedback
![Page 31: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/31.jpg)
Let be the area of a triangle with sides of length 25, 25, and 30. Let be the area of a triangle with sides of length 25, 25, and 40. Find
Unit 3 Challenges
Adapted from Illustrative Mathematics 8.G Two Triangles’ Area
![Page 32: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/32.jpg)
Let be the area of a triangle with sides of length 25, 25, and 30. Let be the area of a triangle with sides of length 25, 25, and 40. Find
Unit 3 Challenges
Adapted from Illustrative Mathematics 8.G Two Triangles’ Area
![Page 33: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/33.jpg)
Let be the area of a triangle with sides of length 25, 25, and 30. Let be the area of a triangle with sides of length 25, 25, and 40. Find
Unit 3 Challenges
Adapted from Illustrative Mathematics 8.G Two Triangles’ Area
![Page 34: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/34.jpg)
Let be the area of a triangle with sides of length 25, 25, and 30. Let be the area of a triangle with sides of length 25, 25, and 40. Find
Unit 3 Challenges
Adapted from Illustrative Mathematics 8.G Two Triangles’ Area
![Page 35: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/35.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
MCC.8.G.7
![Page 36: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/36.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
MCC.8.G.7
![Page 37: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/37.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
MCC.8.G.7
![Page 38: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/38.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
MCC.8.G.7
![Page 39: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/39.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
MCC.8.G.7
![Page 40: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/40.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
4 triangles of base 10 and height 13
1 square of side 10
MCC.8.G.7
![Page 41: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/41.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
4 triangles of base 10 and height 13
1 square of side 10
MCC.8.G.7
![Page 42: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/42.jpg)
Find the surface area of a square pyramid that has base sides of 10 inches and a height of 12 inches.
Unit 3 Challenges
4 triangles of base 10 and height 13
1 square of side 10
Total Area: MCC.8.G.7
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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 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://ccgpsmathematics6-8.wikispaces.com/ CCGPS Mathematics Frameworks and Comprehensive Course Overviews - 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
Resources
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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.
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• CCGPS Resources SEDL videos - http://bit.ly/RwWTdc or http://bit.ly/yyhvtc Illustrative Mathematics - http://www.illustrativemathematics.org/ Dana Center's CCSS Toolbox - http://www.ccsstoolbox.com/ Common Core Standards - http://www.corestandards.org/ Tools for the Common Core Standards - http://commoncoretools.me/ Phil Daro talks about the Common Core Mathematics Standards - http://bit.ly/URwOFT LearnZillion - http://learnzillion.com/
• Assessment Resources Online Assessment System - http://bit.ly/OoyaK5 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/
Resources
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Resources
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Resources• Professional Learning Resources
Inside Mathematics- http://www.insidemathematics.org/ Annenberg Learner - http://www.learner.org/index.html Edutopia – http://www.edutopia.org Teaching Channel - http://www.teachingchannel.org Ontario Ministry of Education - http://bit.ly/cGZlce Achieve - http://www.achieve.org/
• Blogs Dan Meyer – http://blog.mrmeyer.com/ Robert Kaplinsky - http://robertkaplinsky.com/
• Books Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8
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Mathematical Understanding?
http://robertkaplinsky.com/what-does-it-mean-to-understand-mathematics
/
![Page 50: CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – jpratt@doe.k12.ga.us Brooke Kline.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d965503460f94a7ffe7/html5/thumbnails/50.jpg)
http://robertkaplinsky.com/what-does-it-mean-to-understand-mathematics
/
• Procedural skill and fluency
• Conceptual understanding
• The ability to apply mathematics
Mathematical Understanding?
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Feedbackhttp://www.surveymonkey.com/s/WZKG5G2
James Pratt – [email protected] Brooke Kline – [email protected]
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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 @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.