1. Reflecting on Practice …

2. Reflecting on Practice: Making Connections that Support Learning
Unit 1, Session 1
2016
Reflecting on Practice
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3. Park City Mathematics Institute
At your table:
What are five connections that link your table group members together?
Reflecting on Practice
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4. Park City Mathematics Institute
Grade 6. Geometry:
Solve real-world and mathematical problems involving area, surface area and volume
1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real world and mathematical problems.
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CCSS 2011

5. Find another triangle that has the same area but is not congruent
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6. Park City Mathematics Institute
Area of a triangle
What prior knowledge would students need to do this problem in sixth grade?
What extended learning happens in the rest of middle school and into high school?
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7. Park City Mathematics Institute
Norms
Make sure everyone has been heard from 
Make sure everyone has a voice 
Not just listening, but valuing each other's opinions 
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8. Park City Mathematics Institute
Decide in which of the grade levels K2, 3-5, 6, 7, 8, 9-12 the item belongs based on the CCSSM (or typical state standards). When you agree as a table, place it on the appropriate "grade sheet".
Reflecting on Practice
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9. Park City Mathematics Institute
Observing…
Having seen other tables, is there anything you would change? Did any of the pairings surprise you?
Reflecting on Practice
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10. Park City Mathematics Institute
Why is it important to think about where concepts are taught?
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11. Park City Mathematics Institute
Graham Fletcher
Identify the point that you think Graham is trying to make.
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12. Park City Mathematics Institute
Exit Ticket
We're going to ask you to select your top three choices from the 6 content areas:
Expressions & Equations
Probability & Statistics
Ratios & Proportional Relationships
Geometry
Number Systems
Functions
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13. Park City Mathematics Institute
Each group will create a "presentation" related to their content area that includes:
What is different from current or former practice
How the ideas grow from grade-t0-grade beginning in elementary and extending through high school
Any subtle shifts in the ways of thinking about or approaching the content or procedures related to the content
A display or map of your progression.
Anything that surprised you.
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14. Park City Mathematics Institute
Soooo…
Fill out your exit slip.
Check your this afternoon to see to which group you’re assigned.
Spend some time skimming through your progressions.
bit.ly/pcmi16progressions
Be sure you’ve completed the survey at tinyurl.com/welcometorop (on laptop or phone)
Based on the NCTM Principles to Action for Effective Teaching
Bring your laptop tomorrow!
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15. (check Workbook for table assignment)
“Independent”
Working Groups
Grindelwald
(check Workbook for table assignment)
Research Data course
Interlaken
Geometry
St. Moritz
Statistics
Davos
Lesson Study
Emmental
TLP Live
Gruyères
YouTube
Neuchâtel
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Park City Mathematics Institute

16. Park City Mathematics Institute
References
Common Core Standards. College and Career Standards for Mathematics 2010). Council of Chief State School Officers (CCSSO) and (National Governor’s Association (NGA).
Common Core Standards Progressions: (2011).
Reflecting on Practice
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