1. Going Deeper with Practice and Content Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Alanna Mertens ISBE Math Content Area Specialist almertens@cps.edu

2. Objectives To develop strategies to incorporate the Standards for Mathematical Practice. To explore the shifts required by the Common Core State Standards for Mathematics. To experience a math activity that blends content and practice standards. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

3. Why can’t we be friends? What does good listening look like? What does productive group work look like? Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

4. Standards for Mathematical Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License What do you know about the Standards for Mathematical Practice? The practices are the same for all K-12 students. They define what a “mathematical proficient student” should be able to do. Take a moment to glance over the practice standards.

5. Standard for Mathematical Practice 3 Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Read Practice 3 Make note of some important ideas Be ready to discuss your vision of a great math class that incorporates Mathematical Practice Standard 3. o What are the students doing? o What is the teacher doing?

6. Envision a Common Core Math Class What has to happen before we can have students exhibit Mathematical Practice Standard 3? Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

7. Illinois≠Alaska How does what Mr. Optiz is doing in Alaska relate to Practice Standard 3 here in Illinois? Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

8. What’s Next? Once we have established norms, how do you set up a lesson to promote student explanation and justification? Lets do some math! Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

9. Roll A Fraction Expression Goal: Create an expression with the largest value. 1.Sit next to a partner. 2.You need one die and one piece of paper and a pencil. 3.Fold a piece of paper in half the long way. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

10. Set it up Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License Player 1_____________________ Player 2___________________ You may reject one number and place it in the reject box.

11. Roll an Expression Take turns rolling a die and placing the rolled number in a box on your side of the recording sheet. Once the boxes are filled, decide which player rolled the expression with the greatest value. Justify your thinking with words, pictures and/or calculations Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

12. Reflect and Connect Play the game several times. What do you notice? Write your strategy for winning. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

13. Looking at Strategies Do you think these are winning strategies? Explain. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

14. Differentiate the Game Look at the content standards for a grade level that you teach. Work with a group to create a game that would address a content standard while encouraging discourse. Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

15. Share and Compare Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

16. Making Practice 3 Happen What are the teacher moves that we modeled today to facilitate Practice 3 in this session? Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

17. Resources The Illinois State Board of Education Content Area Specialist are here to help! http://isbe.net/ Alanna Mertens almertens@cps.edu Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License