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Continuing the Conversation

Continuing the Conversation. Minilessons for Operations with Fractions. 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. A warm–up mental math string. 100 / 4 200 / 4 200 / 8 50 / 2 400 / 16 300 / 12

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Continuing the Conversation

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  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 • With equations: • 4/10 divided by 1/3 = 12/10 divided by 1

  22. Folder 2, page 3Clip 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. New Book…… 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….

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