CCGPS Mathematics
th
7 Grade Update Webinar
Unit 5: Geometry
December 13, 2013
James Pratt – jpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.us
Secondary 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.
Leigh Kitchens
Henry Co.
McKendree Ramsell
Barrow Co.
Elizabeth Oliver
Okefenokee RESA
Amanda Wilhelm
Cherokee Co.
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 6-8
option 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 Revisions
Prior to Revisions
After Revisions
The introductory segment was too Differentiation suggestions have
lengthy and not “teacherbeen incorporated for both
friendly”; could not be consumed enrichment and remediation
efficiently, so many teachers
would skip this section.
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
5
FALS
Short Cycle
Tasks
•Think Like a Fruit Ninja
Gold Rush
Roman Mosaic
•It’s As Easy as Pi
Designing a
Sports Bag
Octagon Tile
•Stained Glass Design
•Boxing Bracelets
•Staircase
•Cross-Sections of a Cube*
•Similar Cross-Sections*
Applying Angle
Theorems
Designing a
Garden
Specific Task Comments and
Explanations
MARS Formative Assessment Lessons
(FALs)
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
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
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.
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
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.
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.
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
Unit 5 Challenges
What role do you think pi
plays in finding the area
of a circle?
Adapted from Circle Cover-Up
Unit 5 Challenges
CoreReview
Lesson
Let’s
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?
CoreReview
Lesson
Let’s
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?
CoreReview
Lesson
Let’s
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?
CoreReview
Lesson
Let’s
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?
CoreReview
Lesson
Let’s
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?
CoreReview
Lesson
Let’s
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?
CoreReview
Lesson
Let’s
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?
CoreReview
Lesson
Let’s
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?
Resources
• 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-FormativeAssessment-Lessons-Videos.aspx
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.
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/
 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/

LearnZillion Revised
http://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 Revised
http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revised
http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revised
http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revised
http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revised
http://learnzillion.com/lessons?utf8=%E2%9C%93&query=&commit=Go
LearnZillion Revised
http://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
Feedback
http://www.surveymonkey.com/s/WZKG5G2
James Pratt – jpratt@doe.k12.ga.us
Brooke Kline – bkline@doe.k12.ga.us
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 Kline
Program Specialist (6‐12)
bkline@doe.k12.ga.us
James Pratt
Program Specialist (6-12)
jpratt@doe.k12.ga.us
These materials are for nonprofit educational purposes only.
Any other use may constitute copyright infringement.