Math Communicative, Distributive, and Associative Properties

Commutative Property:

Steps:

1. Notice the numbers in the equation (Only for problems with 3 or more numbers)

2. Rearrange the numbers to make it easier to solve (Only in parenthesis if there are parenthesis).

3. Solve the equation.

Example 1:

1+6=X

6+1=X

Example 2:

2. 2(1+4) =X

2(4+1)=X

Distributive Property:

Steps:

1. Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis.
2. Solve the rest of the equation by addition/subtraction/multiplication/division of the numbers.

Example 1:

3 (5+2)=?
3*5=15
3*2=6
15+6=21

Example 2:
2(87*5)
87*2=174
5*2=10
174*10=1,740

Associative Property

Steps:

1. Take note of the numbers in the equation.
2. Move the parenthesis to make it easier to solve.
2. Solve the equation.

Example 1:

(21+9)+3 = 33

The parenthesis are moved to make a new problem:

21+(9+3)=33

The answer remained the same.

Example 2:

(15+3)+2=20

15+(3+2)=20

And again, the answer remained the same.

THIS ONLY WORKS WITH ADDITION AND MULTIPLICATION

 

Reflection: I wrote these math instructions for our 7th grade algebra math wiki. Our goal was to break down math lessons into simple steps so they would be more clear. I believe that I accomplished this goal very well. Our math wiki was meant to help future students at MJGDS and people all around the world do algebra without hesitation or uncertainty. These math steps are to explain the Communicative, Distributive, and Associative properties in math. These properties make it easier to solve algebra equations. I explained the steps in short, simple sentences. Following the steps, I wrote examples so the reader could see how it is done. I think that simplifying the math lesson makes it much easier to understand the math. Overall, I am very proud of this work and all of our work on the math wiki.

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