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 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. 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.