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

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

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

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.

8th Grade CCGPS Unit Revisions

WebinarOverview of

Comprehensive Course Guide&

Unit 3: Geometric Applications of Exponents

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

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

Begin at www.georgiastandards.org

Select the CCGPS ELA/Math Tab

Direct Link to Page

Select the Mathematics option under Browse CCGPS

Select the 6-8 option in the Mathematics section

Select the Grade 8 option

Direct Link to Page

Select the Comprehensive Course Guide

This is your Comprehensive Course Guide

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

Formative Assessment Lessons (FALs)

For the FALs click on this tab

For the Short Cycle Tasks click on this tab

Make sure to choose the Correct grade level

Unit 3Geometric

Applications of Exponents

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

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

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

CCSS – CTE Task

Selected Terms and Symbols

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.

Lets look at a Task: Acting Out

Lets look at a Task: Acting Out

Lets look at a Task: Acting Out

Lets look at a Task: Acting Out

Lets look at a Task: Acting Out

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

Your comments are greatly appreciated:

http://ccgpsmathematics6-8.wikispaces.com/home

Feedback

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

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

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

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

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

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

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

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

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

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

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

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

• 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

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.

• 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

Resources

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

Resources

http://robertkaplinsky.com/

Mathematical Understanding?

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

/

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

/

• Procedural skill and fluency

• Conceptual understanding

• The ability to apply mathematics

Mathematical Understanding?

Feedbackhttp://www.surveymonkey.com/s/WZKG5G2

James Pratt – [email protected] Brooke Kline – [email protected]

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.