1. Common Core Leadership in Mathematics (CCLM) Friday June 29, 2012
Multiplication
This material was developed for use by the project staff and participants in the Common Core Leadership in Mathematics (CCLM^2) project through the University of Wisconsin-Milwaukee. Use by school district personnel to support learning of its teachers and staff is permitted provided appropriate acknowledgement of its source. Use by others is prohibited except by prior written permission.
Common Core Leadership in Mathematics
(CCLM) Friday June 29, 2012

2. Homework Debrief
Share with your shoulder partner a few ideas that strike you as critical to developing a sound understanding of multiplication and division.
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

3. Learning Intentions CCLM We are learning to…
Understand how the CCSSM views the development of multiplicative thinking.
Apply strategies that promoting fluency with single-digit multiplication.
We will be successful when we can …
Help students apply properties of operations as strategies to multiply.
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

4. From Counting by Ones to Thinking In Groups
Place a large amount of counters in the middle of the table.
On the word “go” grab as many groups of two that you can before we say stop.
Don’t count the total number of sets, just concentrate on making groups of two.
We will transition to grabbing 3’s and 4’s very quickly. (This is meant to go REALLY fast!)
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

5. Return the counters to the middle of the table.
On the word “go” grab as many sets of ________ that you can before we say stop.
We will transition to grabbing 3’s and 4’s very quickly. (This is meant to go REALLY fast!)
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

6. Making groups: What did you notice?
What kind of thinking were you doing as you were making groups?
What would this activity tell you about students’ thinking?
You were just unitizing!
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

7. Pre-requisites to Thinking Multiplicatively
Cardinality- Understand that the last counting word indicates the amount of quantity of the set of objects
Subitize: Perceive an amount (1-7) without counting
Unitizing: Using numbers to count groups of objects, rather than single objects
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

8. Draw what you see in your notebook.
Dot Images
How many dots so you see?
How do you see It?
Draw what you see in your notebook.
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

9. Image 1
Put an equation with that.

10. Grounding Thinking in CCSSM
3.OA.5: Apply properties of operations as strategies to multiply and divide.
Commutative
Associative
Distributive
With your shoulder partner, use an example, remind each other how these “rules of numbers work.”
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

11. Image 2

12. Think about how the images were described.
Reflect back on 3.OA.5.
Think about how the images were described.
Where do the properties show up in the reasoning?
CCLM
Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2012

13. Learning Intentions We are learning to…
Understand how the CCSSM views the development of multiplicative thinking.
Apply strategies that promoting fluency with single-digit multiplication.
We will be successful when we can …
Help students apply properties of operations as strategies to multiply.