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CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – [email protected] Brooke Kline – [email protected] 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.

CCGPS Mathematics 8 th Grade Update Webinar Unit 3: Geometric Applications of Exponents October 11, 2013 James Pratt – [email protected] Brooke Kline

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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

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

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

Page 3: 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

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.

Page 4: 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

8th Grade CCGPS Unit Revisions

WebinarOverview of

Comprehensive Course Guide&

Unit 3: Geometric Applications of Exponents

Page 5: 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

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

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

Page 7: 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

Begin at www.georgiastandards.org

Page 8: 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

Select the CCGPS ELA/Math Tab

Direct Link to Page

Page 9: 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

Select the Mathematics option under Browse CCGPS

Page 10: 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

Select the 6-8 option in the Mathematics section

Page 11: 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

Select the Grade 8 option

Page 12: 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

Direct Link to Page

Select the Comprehensive Course Guide

Page 14: 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

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

Page 15: 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

Formative Assessment Lessons (FALs)

Page 16: 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

For the FALs click on this tab

For the Short Cycle Tasks click on this tab

Make sure to choose the Correct grade level

Page 17: 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

Unit 3Geometric

Applications of Exponents

Page 18: 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

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

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

Page 20: 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

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

Page 21: 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

CCSS – CTE Task

Page 22: 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

Selected Terms and Symbols

Page 23: 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

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.

Page 24: 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

Lets look at a Task: Acting Out

Page 25: 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

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

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

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

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

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

Page 30: 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

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

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

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

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

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

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

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

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

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

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

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

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

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

Page 43: 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

• 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

Page 44: 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

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.

Page 45: 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

• 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

Page 46: 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

Resources

Page 47: 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

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

Page 48: 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

Resources

http://robertkaplinsky.com/

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

http://robertkaplinsky.com/what-does-it-mean-to-understand-mathematics

/

• Procedural skill and fluency

• Conceptual understanding

• The ability to apply mathematics

Mathematical Understanding?

Page 52: 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

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)

[email protected]

James PrattProgram Specialist (6-12)

[email protected]

These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.