1. What will you learn? In this lesson, you will learn that any two factors and their product can be read as a comparison. You will learn how to make a comparison that 5 groups of 7 is the same as 7 groups of 5 and that both products are 35. You will learn that this representation illustrates the Commutative Property of Multiplication.

2. Focus Listing Assemble in your assigned groups and explain the various ways that the number 35 can be broken down into simpler forms.

3. Academic Vocabulary Commutative Property of Multiplication- This property states that factors can be multiplied in any order and the product is always the same. Compare- To examine in order to note the similarities or differences of. Decompose- To separate into components or basic elements. Equation- An equation says that two things are the same, using mathematical symbols. Factor- Factors are numbers you can multiply together to get another number.

4. Academic Vocabulary (Continued) Multiply- The basic idea of multiplying is repeated addition. Operation- A mathematical process. Product- The answer when two or more numbers are multiplied together. Property of Multiplication- There are four properties of multiplication. They are the commutative, associative, multiplicative identity, and distributive properties. Represent- To serve as an example of.

5. How do we utilize the Commutative Property of Multiplication? There are two parts associated with a multiplication equation; there is the factor and there is the product. When we look at 3 x 4 = 12, 3 and 4 are our factors and 12 is our product. When we change the order of this equation to 4 x 3 = 12, 4 and 3 are still our factors and 12 is still our product.

6. Visual Representation of the Commutative Property http://learnzillion.com/lessons/2357-the- commutative-property http://learnzillion.com/lessons/2357-the- commutative-property

7. How can we think about multiplication as a comparison? To answer this question, let’s examine the number sentence 7 times as many as 4. We have 7 groups of 4 and we know that equals 28; 7 x 4 = 28. Here’s our 4 4 4 4 4 4 4 4 The above explanation represents 7 times as many.

8. If we change the order of our factors will we get the same product of 28? This time we have 4 times as many as 7. We have 4 groups of 7 and we know that equal 28; 4 x 7 = 28 just like our previous equation. Here’s our 7 7 7 7 7 The above explanation represents 4 times as many.

9. Think-Pair-Share Select a partner and use the manipulatives given to display what x groups of y look like. 1.2 groups of 3 and 3 groups of 2 2.4 groups of 5 and 5 groups of 4 3.5 groups of 6 and 6 groups of 5 4.6 groups of 7 and 7 groups of 6 5.7 groups of 8 and 8 groups of 7

10. What have you learned? In the conclusion of this lesson, you have learned: 1.How to represent and solve multiplication equations through models, illustrations, and writing. 2.How to illustrate that 5 groups of 7 is the same product as 7 groups of 5.