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….