1. Algebraic Thinking Properties
Put credit forms on the table

2. Outcomes:
Develop an understanding of the basic properties of number operations
Consider how to encourage students to develop and engage in the use of the properties to think relationally.
Develop an understanding of the order of operations

3. Share Student Relational Thinking:
 Share in small group what you observed and discussed with your students as they moved from arithmetic thinking to relational thinking.

4. Understanding the Properties of Arithmetic
Read the article
Work with a partner to create a poster depicting your understanding of your property
Kid friendly definition
Visual model
Number statement
Variable statement
Term
Kid Friendly Definition  
Visual Model
Number Statement
Dictionary definition
Share out.
Property

5. Matching Game Groups of three
Match the Property to the numeric example and symbolic example
Work as partners to complete the matching game.

6. Properties and Number Sentences
 True or False?
What properties are used to prove your response?
5+6=5+5+1
9+3=3+4+5
9x13=(10x13)-9

7. Proving the Commutative Property
How do these models illustrate the commutative property of multiplication?
What are the factors of each array and what is the product?

8. Importance of Distributive Property
Video clip 2.9
Pause video after the child solves the first 2 problems. Ask, what problem might you pose next to this child? What benefits were there to using such large numbers in these problems?

9. Distributive Property
How many different ways can you use the distributive property to solve this multiplication problem using the array model?
Hand out pages for them to work on.

10. Learn Multiplication using the Properties
Identity property
Zero property
Commutative Property

11. Order of Operations What is the answer and why? 16 + 4 x 10 24 ÷ 6 x 2
Order of operations is a convention that is needed for mathematicians to communicate. It is not something that is naturally understood.
Answers – why might there be 2 different answers?
How did you solve the problem?
(), exponents, x/÷, +/-

12. Homework
Attempt an activity we have used today with your students. Be ready to share student thinking. Even the commutative property of addition can be focused on in kindergarten.