1. Lots of Squares: An Example from the Digital Library Sean Nank, PhD Sean.Nank@ace.edu www.seannank.com Tiffany Obrien Del Lago Academy October 25, 2014 Session #652

2. 0 1 2 3 Send your text message to this Phone Number: 37607 Strongly Disagree Strongly Agree Disagree Agree Speaker was well- prepared and knowledgeable (0-3) Speaker was engaging and an effective presenter (0-3) Session matched title and description in program book (0-3) Other comments, suggestions, or feedback (words) ___ ___ ___ ___________ 45054 Example: XXXXX 323 Great session! 5 digit poll code for this session (no spaces) Non-Example: XXXXX 3 2 3 Great session! (1 space) Non-Example: XXXXX3-2-3Great session!

3. Creating an account www.smarterbalancedlibrary.org/digital- library-resourceswww.smarterbalancedlibrary.org/digital- library-resources Or just google “smarter balanced digital library”

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5. Resources Forums Favorites Searches

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7. Mathematics English General Formative Assessment Strategies SBAC Guides

8. Four attributes of formative assessments 1)Clarify intended learning - Help students and/or teachers understand their goal 2)Elicit evidence - No single way, can be strategic or on-the-fly 3) Interpret evidence - In relation to the learning target (misunderstandings) 4) Act on evidence

9. Let’s try a problem! But first – why introduce proofs in this manner? Stress associated with formalized proofs Do we believe all students can learn? Do we REALLY believe all students can learn? So why aren’t they all learning?

10. Let’s try a problem! Lots of Squares How many square can you make out of 1 square?

11. Lots of Squares Can you divide a square into 3 other squares? Can you divide a square into 4 other squares? Can you divide a square into 5 other squares?

12. Lots of Squares Share your answers on the board!

13. Lots of Squares Can you divide a square into 3 other squares? Can you divide a square into 4 other squares? Can you divide a square into 5 other squares?

14. Lots of Squares What is the largest number of squares that is impossible to make inside 1 square? Are all numbers possible? What is not possible?

15. Lots of Squares Do you see any way to organize the numbers that you are getting to help answer the question? Do you notice any pattern in the numbers you are getting? What is not possible?

16. Lots of Squares Share your answers on the board! Justify your conclusion.

17. Lots of Squares 4, Geometric and arithmetic pattern linking: 7, 10, ?, 6,8, 10, ?,

18. Sean Nank, PhD Sean.Nank@ace.edu www.seannank.com Tiffany Obrien www.ace.edu/info 1-855-704-0317

19. 0 1 2 3 Send your text message to this Phone Number: 37607 Strongly Disagree Strongly Agree Disagree Agree Speaker was well- prepared and knowledgeable (0-3) Speaker was engaging and an effective presenter (0-3) Session matched title and description in program book (0-3) Other comments, suggestions, or feedback (words) ___ ___ ___ ___________ 45054 Example: XXXXX 323 Great session! 5 digit poll code for this session (no spaces) Non-Example: XXXXX 3 2 3 Great session! (1 space) Non-Example: XXXXX3-2-3Great session!