1. Continuing the Conversation

2. Continuing the Conversation
Cathy Fosnot

3. Minilessons for Multiplication and Division

4. A warm–up mental math string
100 x 13
2 x 13
102 x 13
99 x 13
14 x 99
199 x 34
What strategy does this string support?
What big ideas underlie this strategy?

5. Pictures for early multiplication

6. Small Group Discussions
What strategies would you expect to see?
How would you represent them?

7. How many apples? How many lemons?
Count by ones
Skip count
2 x 6 = 4 x 3 = 6 x 2
2 x 9 = 2 x 3 x 3 = 6 x 3
Associative property

8. 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

9. The Landscape of Learning

10. Let’s go to a classroom…
Cdrom, minilesson folder (first), 3rd page
Video clip #53

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

12. Here’s one that I found.

13. Grade 4
6 x 8
12 x 8
12 x 4
24 x 2
3 x 16
18 x 50
What’s the focus of the string?
A) doubling and halving
B) associative property
C) distributive property
D) using friendly numbers

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

15. Let’s go to a classroom…
Cdrom, minilesson folder (first), 1st page
Video clip #16

16. Grade 4
170 / 17
34 / 17
204 / 17
357 / 17
323 / 17
What’s the focus of the string?
A) distributive property for multiplication
B) partial quotients
C) simplifying
D) A and B

17. 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?

18. 20 -1 17
340
-17

19. Let’s go to a classroom…
Cdrom, minilesson folder (second), 3rd page
Video clip #330

20. Has anyone tried a minilesson like this
Has anyone tried a minilesson like this? Any struggles with representing?

21. Grade 5
100 / 4
200 / 4
200 / 8
400 / 16
800 / 32
300 / 12
900 / 18
What’s the focus of the string?
A) distributive property
B) simplifying
C) splitting
D) using landmark numbers

22. How does this string help with fractions?

23. Folder 2, page 5
Clip 236

24. Landscape of Learning

25. Time for further questions…

26. Have fun with minilessons….