Common Core and Essential Standards PD

1. Common Core and Essential Standards PD January 23, 2012 Mathematics Content Session

2. Review from Dec 19-20 • Argumentation • Mathematical Practice #3: Construct viable arguments and critique the reasoning of others • Mathematical Practice #6: Precision • Shift 2: Disciplinary Literacy Shift 6: Academic Vocabulary • Text Triangulation • Tasks

3. Triangulate Text

4. Triangulate Texts • What can be “TEXT”? • Anything that can be • Read • Viewed • Heard

5. Triangulate Texts • Math Content Texts • Textbook • Videos • Lab activities • Cornell notes • Mathematical algorithms • Graphics, Data and Diagrams • Models and Projects • Foldables • Real world scenarios

6. Today’s Task • Discuss specific types of “text” resources you use in math instruction • Complete the Common Core template from one content area and add your “text” resources.(MS: grade 6, grade 7, grade 8; HS: Algebra 1, Algebra 2, Geometry) • From your “text” resources and the Argumentation Task Samples for Mathematics, create a sample task focusing on argumentation and precision (MP 3 and 6).

7. Sample Template This will be completed for you. Worksheets Quick polls & screen captures Textbook pages K’NEX or Algeblocks Data Tables DE Videos CMP2 ACE problems Activity Center Graphs Powerpoints Quickpolls & Learncheck MARS lessons & tasks Notes and Algorithms Foldables DE Simulations Sample Task: Use the text resources above and the Quick Reference Task Chart to create a argumentative task specific to this Essential Standard.

8. 6th Grade Sample Can be broken down by daily lessons or objectives Not necessary to fill in every box Mathematical Practices 3 Argumentation Task Plaza Middle School students are trying to make a hoagie sandwich large enough to feed their entire class of 25 students. They made an Italian cold-cuts hoagie with cheese, lettuce, and tomatoes that was 12 ¾ feet long. Which size portion, ¼ foot long or ½ foot long is the best portion size to feed the class of 25 students with the least amount of left-over hoagie? Justify your answer. Be sure to show all your work.

9. Algebra 2 Sample • CCSS Domain: F-IF Interpreting functions • Cluster: Interpret functions that arise in applications in terms of the context • Standards: • F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description. • F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. • Cluster: Analyze functions using different representations • Standard: • F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions) • RESOURCES Hyperlink good web resources Write a task specific to this standard Mathematical Practices 3 – Argumentation Task: (analysis level) How would you categorize the following? After examining the set of cards, sort and name the categories. Justify your choices. (comparison level) Compare your choice of categories with those of another student in your class. How are your choices the same/different? Are there any changes you want to make to your choices, if so which ones and why?

10. Summary of Assignment • Work in a group with other teachers in your content/grade level to complete the template • Include text resources that you use in your instruction. Hyperlink web resources. • Write a task focusing on argumentation and precision for the cluster your group worked on. (you may want to use the Quick-Reference Tasks for Math chart) • Save the document with your school name – for example: Algebra 1 Template – Vance or 6th Grade Math – Bailey • Send your completed assignment to your department chair and Marjan Hong (marjan.hong@cms.k12.nc.us)

11. Instructions for Emailing Templates • Work in a subject/grade level group to complete the template. All teachers should contribute their best instructional resources (Texts). Please consider good quality over great quantity. • Hyperlink good internet or Discovery Education resources. The hyperlink will remain intact when the template is emailed. • Save the template by including your school name. Example: 6th Grade Math Template Mint Hill • Include good lab activities, power points or other documents. This will need to be a separate attachment. Use this format to name the file: <Common Core notation> <title>. For Example: 6. NS.6 US Department of Education video clip See 6th grade sample in power point. • Attach the template and documents and email to marjan.hong@cms.k12.nc.us . • VERY IMPORTANT: In the subject line please put the follow notation exactly as it is written • For 6th grade subject line should be sixthcc • For 7th grade subject line should be seventhcc • For 8th grade subject line should be eighthcc • For Algebra 1 subject line should be algebra1cc • For Algebra 2 subject line should be algebra2cc • For Geometry subject line should be geometrycc • Send all templates and documents by Jan. 31, 2012.

12. Thank you! Joanne Whitley Secondary Math Specialist Joanne.whitley@cms.k12.nc.us Marjan Hong Secondary Math Resource Marjan.hong@cms.k12.nc.us