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Continuing the Conversation
Minilessons for Operations with Fractions
Have you been doing minilessons?A. Everyday as a part of math workshopB. Once or twice a weekC. A few timesD. Not yet
A warm–up mental math string100 / 4200 / 4200 / 850 / 2400 / 16300 / 121200 / 48
What strategy does this string support?
How might this string support the development of ideas about fractions?
Landscape of Learning
A portion of the fraction landscape
Let’s go to a classroom…Clip 234
Another string…170 / 1734 / 17204 / 17340 / 17357 / 17323 / 17273 / 13
What’s the focus of this string?
A) distributive property for multiplication
B) partial quotientsC) simplifyingD) A and B
Any connection to fractions?357 / 17 = 340/17 + 17/177/8 = 2/8 + 4/8 + 1/8
Fractions: addition and subtractionRepresent ¼ + 1/5
on a double number line
Back to the classroom…Folder One, pg. 2Clips 731, 733, 738
Fractions: addition and subtractionRepresent ¾ - 1/3 on
a double number line
Fractions: addition and subtractionFolder One, pg. 3Clip 825
Time for further questions on addition and subtraction of fractions…
A warm–up mental math string¼ x 1/32/4 x 1/3¼ x 2/3¾ x 2/32/4 x 3/33/5 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?
A portion of the fraction landscape
Let’s go to a classroom…Clips 906, 918 Folder Two,
page one
Models
Let’s go back to a classroom…Folder Two,
page 2Clips: 1000,
1001, 1025, 1027, 1028
Alyssa's string4/10 divided by 1/34/5 divided by 2/38/5 divided by 2/38/10 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?
Fractions: ratio tableCans of paint
4/10 4/5 12/10 8/10
Portion of the room
1/3 2/3 1 2/3
• With equations:•4/10 divided by 1/3 = 12/10 divided by 1
Folder 2, page 3Clip 938
50% of 2400.5 x 24025% of 2400.25 x 24012.5% of 2401/8 of 2400.125 x 24037.5% of 2400.375 x 240
New Book……Harris, P.W. (2011). Building Powerful Numeracy for Middle and High School Students. Portsmouth, NH: Heinemann.Distributed in Canada by Pearson
Have fun with minilessons….