1. Continuing the Conversation

2. Minilessons for Operations with Fractions

3. Have you been doing minilessons? A. Everyday as a part of math workshop B. Once or twice a week C. A few times D. Not yet

4. A warm–up mental math string 100 / 4 200 / 4 200 / 8 50 / 2 400 / 16 300 / 12 1200 / 48 What strategy does this string support? How might this string support the development of ideas about fractions?

5. Landscape of Learning

6. A portion of the fraction landscape

7. Let’s go to a classroom… Clip 234

8. Another string… 170 / 17 34 / 17 204 / 17 340 / 17 357 / 17 323 / 17 273 / 13 What’s the focus of this string? A) distributive property for multiplication B) partial quotients C) simplifying D) A and B

9. Any connection to fractions? 357 / 17 = 340/17 + 17/17 7/8 = 2/8 + 4/8 + 1/8

10. Fractions: addition and subtraction Represent ¼ + 1/5 on a double number line

11. Back to the classroom… Folder One, pg. 2 Clips 731, 733, 738

12. Fractions: addition and subtraction Represent ¾ - 1/3 on a double number line

13. Fractions: addition and subtraction Folder One, pg. 3 Clip 825

14. Time for further questions on addition and subtraction of fractions…

15. A warm–up mental math string ¼ x 1/3 2/4 x 1/3 ¼ x 2/3 ¾ x 2/3 2/4 x 3/3 3/5 x 5/17 What relationships do you see? What strategy does this string support? How might this string support the development of ideas about fractions?

16. A portion of the fraction landscape

17. Let’s go to a classroom… Clips 906, 918 Folder Two, page one

18. Models

19. Let’s go back to a classroom… Folder Two, page 2 Clips: 1000, 1001, 1025, 1027, 1028

20. Alyssa's string 4/10 divided by 1/3 4/5 divided by 2/3 8/5 divided by 2/3 8/10 divided by 2/3 What strategy does this string support? What big ideas underlie this strategy? How might this string be represented on a ratio table?

21. Fractions: ratio table Cans of paint 4/104/512/108/10 Portion of the room 1/32/31 With equations: 4/10 divided by 1/3 = 12/10 divided by 1

22. Folder 2, page 3 Clip 938 50% of 240 0.5 x 240 25% of 240 0.25 x 240 12.5% of 240 1/8 of 240 0.125 x 240 37.5% of 240 0.375 x 240

23. Harris, P.W. (2011). Building Powerful Numeracy for Middle and High School Students. Portsmouth, NH: Heinemann. Distributed in Canada by Pearson

24. Have fun with minilessons….