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Discuss various methods you might use to teach the commutative property and the associative property of addition. Explain how these properties are used in everyday life and why they are important to understand.Discuss various methods you might use to teach the commutative property and the associative property of addition. Explain how these properties are used in everyday life and why they are important to understand.One way I would teach the commutative property of addition is by giving students manipulatives to practice adding 4+5 and 5+4 and finding that they each equal 9. I would allow students to make many combinations and record their findings on a note sheet. One way I would teach the associative property is in a similar fashion. I would have students use manipulatives to practice adding math problems in multiple orders. For instance, they would add 2+4+7, 4+7+2, 7+2+4, and other combinations and find that they all equal 13. By practicing these properties with physical manipulatives, students can see and feel the values and what they represent. These properties are used in everyday life when people do mental math. Often, if I think of a math problem that is a little confusing, I may rearrange it so it is easier to compute. Granted, my math problems are larger and more complex than 4+5 and 2+4+7, but the skills learned by students will be used throughout their lives. The properties are important to understand because they are a significant component of the mathematical foundation students need throughout their educational careers.