Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

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Continuing the Conversation

Transcript of Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Page 1: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Continuing the Conversation

Page 2: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Continuing the Conversation

Cathy Fosnot

Page 3: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Minilessons for Multiplication and Division

Page 4: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

A warm–up mental math string100 x 132 x 13102 x 1399 x 1314 x 99199 x 34

What strategy does this string support?

What big ideas underlie this strategy?

Page 5: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Pictures for early multiplication

Page 6: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Small Group DiscussionsWhat strategies

would you expect to see?

How would you represent them?

Page 7: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Count by onesSkip count2 x 6 = 4 x 3 = 6

x 22 x 9 = 2 x 3 x 3

= 6 x 3 Associative

property

How many apples? How many lemons?

Page 8: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

How many tiles in each patio?The furniture

obscures some of the tiles possibly providing a constraint to counting by ones and supporting the development of the distributive property

Page 9: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

The Landscape of Learning

Page 10: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Let’s go to a classroom…

Cdrom, minilesson folder (first), 3rd page

Video clip #53

Click icon to add picture

Page 11: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Did anyone try minilessons like these, with pictures? Did you find any nice pictures in magazines that you could use?

Page 12: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Here’s one that I found.

Page 13: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Grade 46 x 812 x 812 x 424 x 23 x 1618 x 50

What’s the focus of the string?

A) doubling and halving

B) associative property

C) distributive property

D) using friendly numbers

Page 14: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

How could you show doubling and halving strategies on an array?

Page 15: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Let’s go to a classroom…

Cdrom, minilesson folder (first), 1st page

Video clip #16

Page 16: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Grade 4170 / 1734 / 17204 / 17357 / 17323 / 17

What’s the focus of the string?

A) distributive property for multiplication

B) partial quotientsC) simplifyingD) A and B

Page 17: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

For the last problem, 323/17, if a child said I got 19 because I took 17 away from 340, how would you represent that using an open array?

Page 18: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

17

20 -1

340-17

Page 19: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Let’s go to a classroom…

Cdrom, minilesson folder (second), 3rd page

Video clip #330

Page 20: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Has anyone tried a minilesson like this?

Any struggles with representing?

Page 21: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Grade 5100 / 4200 / 4200 / 8400 / 16800 / 32300 / 12900 / 18

What’s the focus of the string?

A) distributive property

B) simplifyingC) splittingD) using landmark

numbers

Page 22: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

How does this string help with fractions?

Page 23: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Folder 2, page 5Clip 236

Page 24: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Landscape of Learning

Page 25: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Time for further questions…

Page 26: Continuing the Conversation. Cathy Fosnot Minilessons for Multiplication and Division.

Have fun with minilessons….