CCGPS Mathematics 8 th Grade Update Webinar Unit 7: Solving Systems of Equations March 14, 2014 James Pratt – Brooke Kline – 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.

Update on the work of the 2013 Resource Revision Team  Overall revisions  Unit 7 revisions Addressing areas which teachers have found to be more challenging Resources What are update webinars?

Samantha Clay APS Shelly Bydlinski Glynn Co. Schools Kim Conley Lee Co. Joe Hardy Bibb Co. Mandi Campbell Floyd Co th Grade Resource Revision Team

8 th Grade CCGPS Unit Revisions Webinar Overview of Comprehensive Course Guide & Unit 7: Solving Systems of Equations

Create a Comprehensive Course Guide which would:  Provide an overview of the 8 th Grade Mathematics Curriculum  Provide clarification of CCGPS Mathematics Standards  Link together many sources of information pertinent to CCGPS 8 th Grade Math Update the Units by:  Increasing Task Options  Developing Differentiation Opportunities within each task. Resource Revision Team Goals

Begin at

Accessing SLDS

Accessing Resources through SLDS Click on the “RESOURCES” tab at the top Choose “Search by Subject” Using the drop down boxes, choose your Subject, Grade Level, and Course Name Click “Get Resources” Choose the “Teacher Tools” tab 1st 2nd 3rd 4th

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 6 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

 Click on blue hyperlink to access  The Flipbooks offer clarification  Very Large File (slow loading) Flipbooks

8 th Grade Standards

Standard Specific Information

Task Descriptions Scaffolding Task - Tasks that build up to the learning task. Learning Task - Constructing understanding through deep/rich contextualized problem solving tasks. Practice Task - Tasks that provide students opportunities to practice skills and concepts. Performance Task - Tasks which may be a formative or summative assessment that checks for student understanding/misunderstanding and or progress toward the standard/learning goals at different points during a unit of instruction. Culminating Task - Designed to require students to use several concepts learned during the unit to answer a new or unique situation. Allows students to give evidence of their own understanding toward the mastery of the standard and requires them to extend their chain of mathematical reasoning. Achieve CCSS- CTE - Designed to demonstrate how the Common Core and Career and Technical Classroom Tasks - Education knowledge and skills can be integrated. The tasks provide teachers with realistic applications that combine mathematics and CTE content. Short Cycle Task - Designed to exemplify the performance targets that the standards imply. The tasks, with the associated guidance, equip teachers to monitor overall progress in their students’ mathematics. Formative Assessment Lesson (FAL) - Lessons that support teachers in formative assessment which both reveal and develop students’ understanding of key mathematical ideas and applications. These lessons enable teachers and students to monitor in more detail their progress towards the targets of the standards.

Formative Assessment Lessons (FALs)

Formative Assessment Lessons (“Classroom Challenges”) Developed by the Shell Center Embedded in the FY14 Units, also available at Intended to guide instructional decisions for the rest of the unit Not intended to be graded, but for feedback Very beneficial to addressing student misconceptions Additional FALs are in the editing process.

For the FALs click on this tab For the Short Cycle Tasks click on this tab Make sure to choose the Correct grade level

Internet Resources Webinar Information General Resources Problem-Based Learning Assessment and Instructional Support Resources

Examples of Resources

Unit 7 Solving Systems of Equations

 Slight change of format  Inclusion of Formative Assessment Lessons from the Shell Center  Included Standards for Mathematical Practice (SMPs) for each Task and differentiation options  Suggestions sent by educators from all over the United States via and the wiki  Observations made from personal experiences Overall Changes in the Unit

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). The links are also found on the individual task pages within the unit.

 Fencing: Short Cycle Task – In this task, you must figure out the cost of building fences from fence posts and wooden panels.  Optimization Boomerang: FAL – Use system of equations to find the maximum amount of money which could be raised.  Classifying Solutions to Systems of Equations: FAL – Classify solutions to a pair of linear equations by considering their graphical representations. Task Additions

Let’s take a closer look at a Performance Task in Unit 8: Playing with Straws

A new section has been included in each task to list the appropriate Standards for Mathematical Practice (SMPs).

The standards are hyperlinked to the CCGPS document which can also be found at

Common Misconceptions have been identified for each task to assist teachers in guiding the students to success.

Playing With Straws

Differentiation, including both Extensions and Intervention/Scaffolding, have also been provided for this task and other tasks in Unit 8.

 Use the Wiki to share information with other teachers and to ask questions.  These units are living documents. Please share anything you may have to enhance this or any unit. The Wiki is the teacher community page to share anything you have. Things to Remember

THE WIKI

Your comments are greatly appreciated: Feedback

The local swim center is making a special offer. They usually charge $7 per day to swim at the pool. This month swimmers can pay an enrollment fee of $30 and then the daily pass will only be $4 per day. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

The local swim center is making a special offer. They usually charge $7 per day to swim at the pool. This month swimmers can pay an enrollment fee of $30 and then the daily pass will only be $4 per day. Determine which deal is best. Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Summer Swimming Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

Adapted from Illustrative Mathematics 8.EE Folding a Square into Thirds Unit 7 Challenges

GaDOE Resources  Fall 2011 CCGPS Standards for Mathematical Practices Webinars  Spring 2012 CCGPS Mathematics Professional Learning Sessions on GPB  2012 – 2013 CCGPS Mathematics Unit-by-Unit Webinar Series  Georgia Mathematics Teacher Forums -  CCGPS Mathematics Frameworks and Comprehensive Course Overviews  Mathematics Formative Assessment Lesson Videos - Assessment-Lessons-Videos.aspx Assessment-Lessons-Videos.aspx Resources

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 -  SEDL videos - or  Illustrative Mathematics -  Mathematics Vision Project -  LearnZillion -  ShareMyLesson - Assessment Resources  MAP -  Illustrative Mathematics -  CCSS Toolbox: PARCC Prototyping Project -  Smarter Balanced -  PARCC -  Online Assessment System - Resources

sharemylesson.com

sharemylesson.com

sharemylesson.com

sharemylesson.com

Professional Learning Resources  Inside Mathematics-  Edutopia –  Teaching Channel -  Achieve -  Expeditionary Learning: Center for Student Work - Blogs  Dan Meyer –  Robert Kaplinsky -  Estimation  Graphing Stories - Books  Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8 Resources

James Pratt – Brooke Kline – Feedback

Please visit to share your feedback, ask questions, and share your ideas and resources! Please visit to join the 6-8 Mathematics listserve. Follow on Twitter! Brooke Kline Program Specialist (6 ‐ 12) James Pratt Program Specialist (6-12) These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. Thank You!