1. Welcome to Workforce 3 One U.S. Department of Labor Employment and Training Administration Interactive webinar on November 4, 2014 Presented by: Division of Youth Services – YouthBuild U.S. Department of Labor Employment and Training Administration

2. Connie Rivera Math Teacher Capital City YouthBuild Hartford, Connecticut #

3. Making a shift to more rigorous instruction means conceptual understanding and application in real-world contexts have importance equal to procedural skill and fluency. With that in mind, we will: Look at select pieces of a unit that uses a discovery approach to teaching mathematics. #

4. # With a discovery approach, students construct rules and discover formulas on their own through carefully structured activities.

5. # Student-Centered Pursue How and Why Scaffolded Exercises

6. 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = #

7. 10 #

8. What is the answer to this question? 3 4 + 2 5 = #

9. I’m doing laundry. I discover $4 in each of three girls’ pockets. The next day, I find $5 in each of 2 different pockets in my husband’s clothes. 3 4 + 2 5 = #

10. Daijah-Tae went shopping. She bought a scarf for $15, two lip glosses for $7 each, and a cell phone case for $10. 15 + 2(7) + 10 #

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13. 2 + 8 = 28 Using context, how can this equation be made true? 2 _ + 8 _ = 28 _ #

14. 2 tens + 8 ones = 28 dollars 2t + 8o = 28d #

15. 2,416 + 753 = Why do many of us imagine it written vertically? 2416 + 753 2 thousands + 4 hundreds + 1 ten + 6 ones + 7 hundreds + 5 tens + 3 ones #

16. The football team scored 4 touchdowns, worth 6 points each; kicked 3 extra points, worth 1 point each; and kicked 1 field goal, worth 3 points. What was the team’s final score? Express the relationship using English sentences, then use that sentence to write the situation in math language (an expression or an equation). #

17. The football team scored 4 touchdowns, worth 6 points each; kicked 3 extra points, worth 1 point each; and kicked 1 field goal, worth 3 points. What was the team’s final score? Express the relationship using English sentences, then use that sentence to write the situation in math language (an expression or an equation). T = 4 6 + 3 1 + 1 3 Total Score is 4 touchdowns + 3 extra points + 1 field goal #

18. Marquis’ team made 11 successful free throws (1 point each), 25 two-point shots, and 8 three-point shots. Express the relationship using English sentences, then use that sentence to write the situation in math language (an expression or an equation). #

19. Marquis’ team made 11 successful free throws (1 point each), 25 two-point shots, and 8 three-point shots. 11(1) + 25(2) + 8(3) #

20. http://ed.ted.com/tlessons/oe-is-one-or-is-i #

21. # http://ed.ted.com/lessons/one-is-one-or-is-it Click the link below to view the video!

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26. …for WRITING EXPRESSIONS PHOTOGRAPHS as inspiration… #

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28. # “Effective teaching practices provide experiences that help students to connect procedures with the underlying concepts and provide students with opportunities to rehearse or practice strategies and to justify their procedures… Too much practice too soon can be ineffective or lead to math anxiety.” NCTM’s position:

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30. # Consider the following questions: What other rules or formulas can we rethink for our classes? What supports do you need in order to teach a rule or formula to your students as a discovery process? Come with any questions you have.

31. Please join us for the interactive webinar: High School Equivalency Instruction in Action: ELA and Math Lessons that Support Student Success November 4, 2014 2:00 – 3:30 #

32. Thank You! Find resources for workforce system success at: www.workforce3one.org #