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CCGPS MathematicsUnit-by-Unit Grade Level Webinar
6th GradeUnit 6: Statistics
January 22, 2013
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CCGPS MathematicsUnit-by-Unit Grade Level Webinar
6th GradeUnit 6: Statistics
January 22, 2013
James Pratt – [email protected] Kline – [email protected] Mathematics Specialists
These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
Expectations and clearing up confusion
• Intent and focus of Unit 6 webinar.• Framework tasks.• GPB sessions on Georgiastandards.org.• Standards for Mathematical Practice. • Resources. • http://ccgpsmathematics6-8.wikispaces.com/• CCGPS is taught and assessed from 2012-2013 and beyond.
• The big idea of Unit 6• Concrete methods for finding and displaying measures of center and variability
Mean Absolute Deviation Box plots
• Resources
Welcome!
Feedbackhttp://ccgpsmathematics6-8.wikispaces.com/
James Pratt – [email protected] Brooke Kline – [email protected] Mathematics Specialists
Mathematical Communication•Developing effective mathematical communication•Categories of mathematical communication•Organizing students to think, talk, and write•Updating the three-part problem-solving lesson•Tips for getting started
Research - Communication•The value of student interaction•Challenges the teachers face in engaging students•The teacher’s role•Five strategies for encouraging high-quality student interaction
1. The use of rich math tasks2. Justification of solutions3. Students questioning one
another4. Use of wait time5. Use of guidelines for Math Talk
My Favorite No
https://www.teachingchannel.org/videos/class-warm-up-routine
http://www.cgcs.org/Page/244
Parent Communication•Explanation to parents of the need for change in mathematics•Description of 3 major changes in mathematics •What children will be learning in Grade 6 •Parents partnering with teachers•Grade level examples•Parents helping children learn outside of school•Additional resources
• MCC6.EE.9: Use variables to represent two quantities in a real-world problem that change in relationship to one another; … Question: Are we supposed to teach direct and indirect
proportions? Could you please help us understand more specifically what is included in this standard?
Question: Should 6th grade teachers explicitly teach direct and indirect variation …?
Wiki/Email Questions – Unit 4
• MCC6.G.1: Find area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; Question: What figures are considered “special
quadrilaterals in MCC.6.1?
Wiki/Email Questions – Unit 5
• MCC6.G.1: Find area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; Question: …, but what definition of a trapezoid is preferred
for elementary and sixth grade? There are definitely arguably two out there.
Wiki/Email Questions – Unit 5
• MCC6.G.1: Find area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; Question: …, but what definition of a trapezoid is preferred
for elementary and sixth grade? There are definitely arguably two out there.
Wiki/Email Questions – Unit 5
• MCC6.SP.4: Display numerical data in plots on a number line, including dot plots, histograms, and box plots.Question: Are the teachers supposed to cover stem and leaf
plots? It's not mentioned in the standards but it is mentioned in the tasks. I assume so?
Wiki/Email Questions – Unit 6
As part of the continuing implementation of CCGPS in the year 2013 - 2014, the current GADOE mathematics frameworks and units are being reviewed, revised, and augmented. We are offering an opportunity for educators to assist in this critical process.
The challenge: Create a career-based mathematics task using guidelines provided to supplement and/or address gaps in the existing CCGPS frameworks units.
If your task is selected for addition to a unit, you will receive a $200 honorarium per task. All work is to be original using support structures provided by the Georgia Department of Education Mathematics Team.
If you are interested in participating in this challenge, please view the task creation guidelines at http://ccgps-task-submission-guidelines.wikispaces.com/, and get started! Task submission period begins now and closes May 1, 2013. We look forward to seeing your tasks.
Career-Based Mathematics Task Challenge
As part of the continuing implementation of CCGPS, the current CCGPS mathematics frameworks and units are being reviewed, revised, and augmented. The Georgia Department of Education is seeking qualified math educators to become part of the 2013 CCGPS Mathematics Resource Revision Team which will assist in this critical process.
The scope of the CCGPS Mathematics Resource Revision Team work will include, but is not limited to:• evaluating newly submitted tasks • assessing the need for additional tasks• assessing the order of current units and tasks• editing of current units and tasks • creating additional tasks to address gaps, if necessary
2013 Resource Revision Team
All work will be completed collaboratively with support structures provided by the Georgia Department of Education Mathematics Team.
All work is to be completed at the Georgia Department of Education, June 3rd-June 6, and June 10-13, 2013.
Team members will be compensated for contracted work in the amount of $2000 and travel expenses will be reimbursed.
If you are interested in becoming a part of the CCGPS Mathematics Resource Revision Team, please respond to the appropriate Georgia Department of Education contact below by March 1, 2013. In your response, please indicate grade level interest, why you would like to be part of this team, related experience, and the contact information for two references.
2013 Resource Revision Team
Grades 6-High SchoolBrooke Kline [email protected] Program Lead Specialist
Grades 6-High SchoolJames Pratt [email protected] Mathematics Program Specialist
Zeke likes to collect buttons and he keeps them in a jar. Zeke can empty the buttons out of the jar, so he can see all of his buttons at once.
Activate your Brain
Adapted from Illustrative Mathematics 6.SP Buttons: Statistical Questions
Which of the following are statistical questions that someone could ask Zeke about his buttons?i. What is the typical number of holes in these buttons?ii. Are there any gold buttons in this jar?iii. How large is the largest button in the jar?iv. How many buttons are green?v. If Zeke grabbed a handful of buttons, what are the chances that all of the buttons in
his hand are round?vi. What is the typical size of a button in the jar?vii. What materials (e.g., plastic, metal, wood, etc.) were used to make these buttons?viii. How many buttons are in the jar?ix. How many buttons have four holes?x. How are these buttons distributed according to color?
Activate your Brain
Adapted from Illustrative Mathematics 6.SP Buttons: Statistical Questions
Which of the following are statistical questions that someone could ask Zeke about his buttons?i. What is the typical number of holes in these buttons?ii. Are there any gold buttons in this jar?iii. How large is the largest button in the jar?iv. How many buttons are green?v. If Zeke grabbed a handful of buttons, what are the chances that all of the buttons in
his hand are round?vi. What is the typical size of a button in the jar?vii. What materials (e.g., plastic, metal, wood, etc.) were used to make these buttons?viii. How many buttons are in the jar?ix. How many buttons have four holes?x. How are these buttons distributed according to color?
Activate your Brain
Adapted from Illustrative Mathematics 6.SP Buttons: Statistical Questions
What’s the big idea?•Deepen previous understandings of measurement and interpreting data.•Develop understanding of displaying and summarizing numerical data.•Develop understanding of quantitative measures of center and variability.•Standards for Mathematical Practice.
What’s the big idea?
Unit 6: StatisticsNew Content• Box plots – came from 7th grade• Mean Absolute Deviation – came from
9th grade
Coherence and Focus• K-5th
Categorical data Measurement and data
• 7th-12th Draw informal inferences Investigate patterns of associationFit functions to data Interpret categorical and quantitative dataProbability models
Examples & Explanations
Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.
13, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 20
Use an appropriate graph to summarize these birth weights.
Adapted from Illustrative Mathematics 6.SP Puppy Weights
Examples & Explanations
Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.
Adapted from Illustrative Mathematics 6.SP Puppy Weights
Examples & Explanations
Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.
Adapted from Illustrative Mathematics 6.SP Puppy Weights
Examples & Explanations
Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.
Adapted from Illustrative Mathematics 6.SP Puppy Weights
Examples & Explanations
Watch the first 5 minutes of the following video on MAD
http://learner.org/courses/learningmath/video/data/wmp/dat_05_ch2.html
Please give us a smiley face when you have finished the video.
Examples & Explanations
Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.
13, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 20
Describe the distribution of birth weights for puppies born at Kingston Kennels in the last six months. Be sure to describe shape, center, and variability.
Adapted from Illustrative Mathematics 6.SP Puppy Weights
Examples & Explanations
Describe the distribution of birth weights for puppies born at Kingston Kennels in the last six months. Be sure to describe shape, center, and variability.
The distribution of birth weights is centered at approximately 17 (median = 17 ounces, mean = 16.92 ounces), and the interquartile range is 2 ounces and the MAD is 1.15 ounces. The distribution has a longer tail for lower values.
Adapted from Illustrative Mathematics 6.SP Puppy Weights
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.
• Common Core 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
•Assessment Resources MAP - http://www.map.mathshell.org.uk/materials/index.phpIllustrative Mathematics - http://illustrativemathematics.org/ CCSS Toolbox: PARCC Prototyping Project - http://www.ccsstoolbox.org/ PARCC - http://www.parcconline.org/ Online Assessment System - http://bit.ly/OoyaK5
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
Capacity Building Series: Communication in the Mathematics Classroom - http://bit.ly/acoWR9 What Works? Research into Practice - http://bit.ly/SRYTuM
Council of the Great City Schools - http://www.cgcs.org/Page/1
•BlogsDan Meyer – http://blog.mrmeyer.com/Timon Piccini – http://mrpiccmath.weebly.com/3-acts.htmlDan Anderson – http://blog.recursiveprocess.com/tag/wcydwt/
ResourcesLearnzillion.com
• Review• Common Mistakes• Core Lesson• Guided Practice• Extension Activities• Quick Quiz
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)
James PrattProgram Specialist (6-12)
These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
