ccgps mathematics 8 th grade update webinar unit 4: functions november 8, 2013 james pratt –...

CCGPS Mathematics8th Grade Update Webinar

Unit 4: FunctionsNovember 8, 2013

James Pratt – jpratt@doe.k12.ga.us Brooke Kline – bkline@doe.k12.ga.usSecondary Mathematics Specialists

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What are update webinars?

• Update on the work of the 2013 Resource Revision Team Overall revisions Unit 4 revisions

• Addressing areas which teachers have found to be more challenging• Resources

2013 8th Grade Resource Revision Team

Samantha Clay APS

Shelly BydlinskiGlynn Co. Schools

Kim Conley Lee Co.

Joe Hardy Bibb Co.

Mandi Campbell Floyd Co.

8th Grade CCGPS Unit Revisions

WebinarOverview of

Comprehensive Course Guide&

Unit 4: FUNCTIONS

8th 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 8th Grade Mathematics Curriculum

Provide clarification of CCGPS Mathematics Standards Link together many sources of information pertinent

to CCGPS 8th Grade MathUpdate the Units by:

Increasing Task Options Developing Differentiation Opportunities within each

task.

Resource Revision Team Goals

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

1st2nd

3rd

4th

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

Formative Assessment Lessons (FALs)

For the FALs click on this tab

For the Short Cycle Tasks click on this tab

Make sure to choose the Correct grade level

Unit 4

Functions

Slight change of format

Included Standards for Mathematical Practice (SMPs) for each Task and differentiation options

Suggestions sent by educators from all over the United States via email and the wiki

Observations made from personal experiences

Overall Changes in the Unit

Selected Terms and Symbols

Note: While student editions of the units can still be found at

www.georgiastandards.org, only the Teacher’s Edition (found in the Learning Village and SLDS) include the Task Table.

A new section has been included in each task to list the appropriate

Standards for Mathematical Practice (SMPs).

STANDARDS FOR MATHEMATICAL PRACTICE: This task uses all of the practices with emphasis on: 2. Reason abstractly and quantitatively. 4. Model with mathematics.

Formative Assessment Lesson: Modeling Situations with

Linear Equations

Formative Assessment Lesson: Modeling Situations

with Linear Equations http://map.mathshell.org/materials/lessons.php

The standards are hyperlinked to the CCGPS document which can also be found at www.georgiastandards.org

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

students to success.

Culminating Task: Sorting Functionshttp://www.insidemathematics.org/pdfs/algebra/sorting-functions/packet.pdf

Culminating Task: Sorting Functions

Culminating Task: Sorting FunctionsStudent Responses

Suggestions for differentiation have been added to each task.

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:

http://ccgpsmathematics6-8.wikispaces.com/home

Feedback

The following table shows the amount of garbage that was produced in the US each year between 2002 and 2010 (as reported by the EPA).

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

t(years) 2002 2003 2004 2005 2006 2007 2008 2009 2010

G(million tons) 239 242 249 254 251 255 251 244 250

The following table shows the amount of garbage that was produced in the US each year between 2002 and 2010 (as reported by the EPA).

Let’s define a function which assigns to an input t the total amount of garbage, G, produced in that year. To find these values, you can look them up in the table.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

t(years) 2002 2003 2004 2005 2006 2007 2008 2009 2010

G(million tons) 239 242 249 254 251 255 251 244 250

The following table shows the amount of garbage that was produced in the US each year between 2002 and 2010 (as reported by the EPA).

How much garbage was produced in 2004?

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

t(years) 2002 2003 2004 2005 2006 2007 2008 2009 2010

G(million tons) 239 242 249 254 251 255 251 244 250

The following table shows the amount of garbage that was produced in the US each year between 2002 and 2010 (as reported by the EPA).

How much garbage was produced in 2004?249 million tons

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

t(years) 2002 2003 2004 2005 2006 2007 2008 2009 2010

G(million tons) 239 242 249 254 251 255 251 244 250

The following table shows the amount of garbage that was produced in the US each year between 2002 and 2010 (as reported by the EPA).

In which year did the US produce 251 million tons of garbage?

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

t(years) 2002 2003 2004 2005 2006 2007 2008 2009 2010

G(million tons) 239 242 249 254 251 255 251 244 250

The following table shows the amount of garbage that was produced in the US each year between 2002 and 2010 (as reported by the EPA).

In which year did the US produce 251 million tons of garbage?

2006

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

t(years) 2002 2003 2004 2005 2006 2007 2008 2009 2010

G(million tons) 239 242 249 254 251 255 251 244 250

The following table shows the amount of garbage that was produced in the US each year between 2002 and 2010 (as reported by the EPA).

Draw a graph that shows this data.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

t(years) 2002 2003 2004 2005 2006 2007 2008 2009 2010

G(million tons) 239 242 249 254 251 255 251 244 250

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F US Garbage

2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011230

235

240

245

250

255

260

t(years)

G(m

illio

n to

ns)

Below are two graphs that look the same. Note from the axis labels that the first graph shows the distance from home as a function of time and the second graph shows velocity as a function of time.

Unit 3 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

Below are two graphs that look the same. Note from the axis labels that the first graph shows the distance from home as a function of time and the second graph shows velocity as a function of time.

Describe the graphs within context.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person leaves the house and travels at a constant rate of speed.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person does not get further from the house, possibly is stopped.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person continues to travel away from the house, but slower than previous.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person travels back to the house, faster than leaving.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person stays at the house.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person leaves the house and travels at a constant rate.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person stays the same distance from home.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person returns home at the same speed as they left.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person starts at rest and speeds up at a constant rate.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person maintains a constant speed.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person begins to speed up again.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person quickly slows down.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person comes to a complete stop.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person accelerates at a constant rate.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person stays at a constant speed.

Unit 4 Challenges

Adapted from Illustrative Mathematics 8.F Velocity vs. Distance

The person slows down to come to a complete stop.

• 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 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/ Phil Daro talks about the Common Core Mathematics Standards - http://bit.ly/URwOFT 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

Resources

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

Resources• SMP 3 – Construct viable

arguments and critique the reasoning of others Student Sample Work Feedback/Critique and Revision

Expeditionary Learning http://elschools.org/student-work/butterfly-drafts

Feedbackhttp://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 KlineProgram Specialist (6‐12)

bkline@doe.k12.ga.us

James PrattProgram Specialist (6-12)

jpratt@doe.k12.ga.us

These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.