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CCGPS Mathematics7th Grade Update Webinar
Unit 6: ProbabilityFebruary 14, 2014
James Pratt – [email protected] Brooke Kline – [email protected] Mathematics Specialists
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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 6 revisions
• Addressing areas which teachers have found to be more challenging• Resources
What are update webinars?
2013 8th Grade Resource Revision Team
Tiffany Evans Whitfield Co.
Amanda Wilhelm Cherokee Co.
McKendree RamsellBarrow Co.
Leigh Kitchens Henry Co.
Elizabeth Oliver Okefenokee RESA
Unit 6: Probability
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.
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 6-8option 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 6 RevisionsPrior to Revisions After Revisions
The introductory segment was too lengthy and not “teacher-friendly”; could not be consumed efficiently, so many teachers would skip this section.
Differentiation suggestions have been incorporated for both enrichment and remediation
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 6 Tasks
The Unit 6 Tasks Primarily Address:– Determining the probability of an event and
describing its likelihood– Developing probability models – Finding probability of compound events using
sample spaces– Designing and using simulations to find probability
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
FALS Short Cycle Tasks
6 •Probability on a Number Line*
•What’s Your Outcome?
•Charity Fair
Lottery
Spinner Bingo
Card Game
Unit 6 Changes
Specific Task Comments and Explanations
MARS Short Cycle Tasks
Designing Simulations• Uses a random number generator• Examples of simulations include drawing from
a deck of cards, choosing from a bag of colors, using technology, etc.
• Encourage students to create their own simulations when given a problem.
• The lesson found in the framework was edited to include not only more explanation for the student, but also a more detailed description for teachers.
Just A Friendly Reminder…
The Unit 6 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
Read the following situations and determine which of the devices listed can be used to conduct a simulation
In a family of 5, what is the probability that three of the members are male?
Adapted from Designing Simulations:http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf
Unit 6 Challenges
In a family of 5, what is the probability that three of the members are male?CoinSpinnerPlaying CardsNumber CubeRandom Number TableRandom Number Generator
Adapted from Designing Simulations:http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf
Unit 6 Challenges
In a family of 5, what is the probability that three of the members are male?Coin - yesSpinner - yesPlaying Cards - yesNumber Cube - yesRandom Number Table - yesRandom Number Generator - yes
Adapted from Designing Simulations:http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf
Unit 6 Challenges
The probability that a student gets an A or B on a Chapter Test is 1/3. What is the probability that a student chosen at random does not get an A or a B on the test?CoinSpinnerPlaying CardsNumber CubeRandom Number TableRandom Number GeneratorAdapted from Designing Simulations:http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf
Unit 6 Challenges
The probability that a student gets an A or B on a Chapter Test is 1/3. What is the probability that a student chosen at random does not get an A or a B on the test?Coin - noSpinner - yesPlaying Cards - yesNumber Cube - yesRandom Number Table - yesRandom Number Generator - yesAdapted from Designing Simulations:http://www.nsa.gov/academia/_files/collected_learning/high_school/data-analysis/designing_simulations.pdf
Unit 6 Challenges
In a random survey, 68% of high school students report that they have less than an hour of homework on a given night. What is the probability that a high school student selected at random will have les than an hour of homework on any given night.CoinSpinnerPlaying CardsNumber CubeRandom Number TableRandom Number Generator
Unit 6 Challenges
In a random survey, 68% of high school students report that they have less than an hour of homework on a given night. What is the probability that a high school student selected at random will have les than an hour of homework on any given night.Coin - noSpinner - noPlaying Cards - noNumber Cube - noRandom Number Table - yesRandom Number Generator - yes
Unit 6 Challenges
How many different ways can a red, blue and green marble
be pulled from a bag?What is the
probability of getting green, blue and red in
that order?
I’m debating whether to enter a contest that has been proposed by my parents. A red, green, and blue marble have been placed in a bag. If I select the green, blue, and red marble, in that order, I do
not have to do any chores for the month. If the green, blue, and red marble are selected in any
other order, then I must not only do my chores for the month, but do a list of additional chores for the
month that my parents have selected. Should I enter this contest with my parents?
How many different ways can a red, blue and green marble
be pulled from a bag?What is the
probability of getting green, blue and red in
that order?
Core Lesson
Core Lesson
Core Lesson
1
2
3
4
5
6
Core Lesson
1
2
3
4
5
6
What is the probability of getting green, blue and red in
that order?
Core Lesson
1
2
3
4
5
6
P(g, b, r)=
• 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://ccgpsmathematics9-10.wikispaces.com/ CCGPS Mathematics Frameworks and Comprehensive Course Overviews - https://www.georgiastandards.org/Common-Core/Pages/Math-9-12.aspx Mathematics Formative Assessment Lesson Videos - https://www.georgiastandards.org/Common-Core/Pages/Mathematics-Formative-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 - http://www.gavirtuallearning.org/Resources.aspx SEDL videos - http://bit.ly/RwWTdc or http://bit.ly/yyhvtc Illustrative Mathematics - http://www.illustrativemathematics.org/ Mathematics Vision Project - http://www.mathematicsvisionproject.org/index.html Dana Center's CCSS Toolbox - http://www.ccsstoolbox.com/Tools for the Common Core Standards - http://commoncoretools.me/ LearnZillion - http://learnzillion.com/
• Assessment Resources 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/ Online Assessment System - http://bit.ly/OoyaK5
Resources
• Professional Learning Resources Inside Mathematics- http://www.insidemathematics.org/ Edutopia – http://www.edutopia.org Teaching Channel - http://www.teachingchannel.org 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/ Estimation 180 - http://www.estimation180.com/ Graphing Stories - http://graphingstories.com/
• Books Van De Walle & Lovin, Teaching Student-Centered Mathematics, Grades 5-8
Resources
Estimation 180http://www.estimation180.com/
Estimation 180http://www.estimation180.com/
Estimation 180http://www.estimation180.com/
http://www.surveymonkey.com/s/WZKG5G2
James Pratt – [email protected] Brooke Kline – [email protected]
Feedback
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.aspxto join the 6-8 Mathematics email listserve.
Follow on Twitter!Follow @GaDOEMath
Brooke KlineProgram Specialist (6‐12)
James PrattProgram Specialist (6-12)
These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
Thank You!
