CCGPS Mathematics 8 th Grade Update Webinar Unit 4: Functions November 8, 2013 James Pratt – [email protected]Brooke Kline – [email protected]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.
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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
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.
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
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
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/