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CCGPS Mathematics7th Grade Update Webinar
Unit 5: GeometryDecember 13, 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 5 revisions
• Addressing areas which teachers have found to be more challenging• Resources
2013 7th Grade Resource Revision Team
Tiffany Evans Whitfield Co.
Amanda Wilhelm Cherokee Co.
McKendree RamsellBarrow Co.
Leigh Kitchens Henry Co.
Elizabeth Oliver Okefenokee RESA
Unit 5: Geometry
7th grade Mathematics
7th Grade Comprehensive Course Overview
• 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 7th Grade Standards
• The comprehensive course overviews in grades 6-8 are similar to “grade level overviews” in K-5. They have been created for Coordinate Algebra and Analytic Geometry as well, making them a great tool for vertical alignment.
7th Grade Comprehensive Course Overview
Please be aware:–The Comprehensive Course
Overview was updated recently to correct some minor details regarding formatting
Begin at www.georgiastandards.org
Direct Link to Page
Select the CCGPS ELA/Math Tab
Direct Link to Page
Select the Mathematics option under Browse CCGPS
Select the 6-8option in the Mathematics section
Expand the 7th Grade Course
Select the Comprehensive Course Overview
Expande Coordinate
Algebra
Sections of Interest• Critical areas of focus for the course• Flipbook Links for each 7th Grade CCGPS
Standard• Formative Assessment Lesson Information• Unit Descriptions: Overview• 7th Grade Curriculum Map • Additional Resource Links and Instructional
Support
Formative Assessment Lessons
6-8 CCGPS Wikispace
www.ccgpsmathematics6-8.wikispaces.com
Rationale for Unit 5 RevisionsPrior to Revisions After Revisions
The introductory segment was too lengthy and not “teacher-friendly”; could not be consumed efficiently, so many teachers would skip this section.
Differentiation suggestions have been incorporated for both enrichment and remediation
Some standards were overrepresented by multiple tasks while other standards had no aligned task.
Some tasks were removed or heavily edited in order to increase rigor and clarity while others were created.
Many of the student versions of tasks needed more clarity in directions and more structure to help guide student responses.
Links and explanations for Formative Assessment Lessons and Short Cycle Tasks provided by Shell Centre.
Task Table Notes
Unit 5 Tasks
The Unit 5 Tasks Primarily Address:– Developing understanding for cross sections formed by slicing
three-dimensional figures– Understanding the relationship between circumference and area– Finding missing angles using angle relationships– Using volume formulas in real-world contexts
Purpose of the Tasks
• Provide Opportunities for Problem-Based Learning– Examples: Check out Dan Meyer, Robert Kaplinksy’s
websites
• Provide several entry points to the standards.• Teachers should review all tasks in a given unit to
determine which tasks would be appropriate for their students. Tasks can be adapted to fit the needs or your classroom. Most standards are covered by various tasks.
Unit
Tasks Added or deleted *Merged with another task
FALS Short Cycle Tasks
5 •Think Like a Fruit Ninja
•It’s As Easy as Pi
•Stained Glass Design
•Boxing Bracelets
•Staircase
•Cross-Sections of a Cube*
•Similar Cross-Sections*
Gold Rush
Designing a Sports Bag
Applying Angle Theorems
Designing a Garden
Roman Mosaic
Octagon Tile
Unit 5 Changes
Specific Task Comments and Explanations
MARS Formative Assessment Lessons (FALs)
Think Like a Fruit Ninja
Just A Friendly Reminder…
The Unit 5 Frameworks are meant to be seen as GUIDELINES
– Take from the frameworks what you need for your students to be successful
– Note that there are more tasks included within the unit
– It is not feasible nor expected to complete all of the assigned tasks within an academic year
MCC7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Unit 5 Challenges
MCC7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Unit 5 Challenges
Surface Area Volume
Triangular Right Prism Yes Yes
Hexagonal Right Prism Yes Yes
Rectangular Right Prism Yes Yes
Cylinder No No
Pyramid Yes No
Cone No No
MCC7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Volume of cylinder and cone are specifically addressed in MCC.8.G.9 along with spheres.
Surface Area of a cylinder and cone is never specifically mentioned in the standards, though can be determined when students have the required prerequisites.
Unit 5 Challenges
Compare the areas of the two figures below.
Unit 5 Challenges
Adapted from Circle Cover-Up
Unit 5 Challenges
Adapted from Circle Cover-Up
Unit 5 Challenges
Adapted from Circle Cover-Up
Unit 5 Challenges
Adapted from Circle Cover-Up
What role do you think pi plays in finding the area of a circle?
Unit 5 Challenges
Adapted from Circle Cover-Up
Unit 5 Challenges
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
Let’s ReviewCore Lesson
Draw a triangle that has one side that is 5 units long and one side that is 9 units long. Is there more than one triangle we could draw?
• 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 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/ 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/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
LearnZillion Revisedhttp://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
• A more “user friendly” version of the Learnzillion lessons support learning new strategies, sharing with parents, helping absent students.
LearnZillion Revisedhttp://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revisedhttp://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revisedhttp://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revisedhttp://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revisedhttp://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revisedhttp://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
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/ Expeditionary Learning: Center for Student Work - http://elschools.org/student-work
• Blogs Dan Meyer – http://blog.mrmeyer.com/ Robert Kaplinsky - http://robertkaplinsky.com/
• Books Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8
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)
James PrattProgram Specialist (6-12)
These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
