CCGPS Mathematics 8 th Grade Update Webinar Unit 5: Linear Functions December 13, 2013 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.

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

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

8 th Grade CCGPS Unit Revisions Webinar Overview of Comprehensive Course Guide & Unit 5: Linear Functions

8 th 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

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

 Located on the 6-8 math section of  Designed to provide clarification of CCGPS Mathematics Standards  Organized to link together many sources of information pertinent to CCGPS 8 th Grade Math 8 th Grade 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 5 Linear Functions

 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

 Lines and Linear Equations – In this lesson students translate between equations and graphs and interpret speed as the slope of a linear graph.  Solving Real-Life Problems: Baseball Jerseys – In this lesson, students interpret a real-life situation and represent the variables mathematically. Formative Assessment Lessons

 Also, if you did not use the FAL, Modeling Situations with Linear Equations, from Unit 4 you might want to look at using it in Unit 5.  This task can be used in either Unit 4 or Unit 5. We decided to put it in Unit 4 so that teachers could see it earlier rather than later and decide when/if they want to use it. Formative Assessment Lessons

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.

Lets look at a Task: What’s My Line

Lets look at a Task: What’s My Line?

 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: Feedback

Eva, Carl, and Maria are computing the slope between pairs of points on the line shown below. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

Eva finds the slope between the points (0, 0) and (3, 2). Carl find the slope between the points (3, 2) and (9, 6). Maria finds the slope between the points (3, 2) and (9, 6). Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

Why should the slope be the same for the three students? Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

We can see that the blue and the green triangles are congruent since we can translate the green triangle up along the line until it lines up with the blue triangle. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

We can dilate the blue triangle by a factor of 2 to line it up with the red triangle. Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Slopes Between Points on a Line

Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

Unit 5 Challenges Adapted from Illustrative Mathematics 8.EE Proportional relationships, lines, and linear equations

Unit 5 Challenges Adapted from Illustrative Mathematics 8.F Introduction to Linear Functions

Unit 5 Challenges Adapted from Illustrative Mathematics 8.F Introduction to Linear Functions

Unit 5 Challenges Adapted from Illustrative Mathematics 8.F Introduction to Linear Functions

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

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 -  SEDL videos - or  Illustrative Mathematics -  Dana Center's CCSS Toolbox -  Common Core Standards -  Tools for the Common Core Standards -  LearnZillion - Assessment Resources  Online Assessment System -  MAP -  Illustrative Mathematics -  CCSS Toolbox: PARCC Prototyping Project -  Smarter Balanced -  PARCC - Resources

No password required! Georgia Virtual Learning

Resources Professional Learning Resources  Inside Mathematics-  Annenberg Learner -  Edutopia –  Teaching Channel -  Ontario Ministry of Education -  Achieve -  Expeditionary Learning: Center for Student Work - Blogs  Dan Meyer –  Robert Kaplinsky - Books  Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8

Feedback James Pratt – Brooke Kline –

Thank You! 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.