Associative, Commutative and Distributive Properties

Introduction

Ms Mac's Vacation

Mrs. Cuttino has extended her vacation and you have been asked to fill in for her. Next lesson you and your partner will need to present to the class a summary about the associative properties, commutative properties, and distributive properties.

Task

Since you are such an awesome, intelligent, entertaining group of cadets you need to find a creative way to teach the other cadets in your class about the properties. You can create a song/rap, design a poster, powerpoint or come up with some other creative way to teach these properties. You will need to define the properties and make sure cadets will remember the differences between the properties. You also need to look at how the properties would be used to solve equations and expressions.

Process

Step 1: Define the properties. One of you will define the properties in red. The other one will defind the properties in blue. Below are several websites and Youtube clips where you can go to find definitions of the properties. You need to make sure your definitions are written in a manner that your classmates will understand.

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

Distributive Property

http://www.youtube.com/watch?v=MOYNs-FXKfY

http://amathsdictionaryforkids.com/

http://www.mathsisfun.com/associative-commutative-distributive.html

https://www.khanacademy.org/math/pre-algebra/order-of-operations

http://www.youtube.com/watch?v=7HFRH_M1nAc

Step 2: Learn about the properties by playing the games below. Each of you will need to go to at least two of these sites.

http://www.aaamath.com/pro74b-propertiesmult.html#section3

http://www.softschools.com/quiz_time/math/properties/theme50.html

http://www.math-play.com/math-basketball-properties-of-multiplication/math-basketball-properties-of-multiplication.html

Step 3: Design the presentation you will use to teach about the properties. Make sure you show how the properties would be used to solve equations and simplify expressions. You may want to look at the evaluation tab to see what your grades will be based on.

Evaluation

Create a Summary

Here is your chance to demonstrate your level of understanding of the basic number properties. For this part of this unit of study you are to create a presentation showing all that you have learned. You may use whatever media you like for this presentation but the use of technology is highly encourage and will obtain the highest possible grades. Use your imagination, be creative and have fun. Whatever you decide to create be certain it proves your complete understand of the number properties.

	A- Exceeded	B- Expected	C- Satisfactory	D- Below expectation	E- Incomplete
Media	Student(s) creates a video/prezi/ to demonstrate their learning.	Student(s) creates an electronic poster, Presentation/ PowerPoint or some other publishing package to summarize this unit.	Student(s) uses a word processing package to create a summary for this unit.	Student(s) did not use technology and creates a handwritten poster, brochure, etc.	Student(s) did not create a summary for this unit.
Creativity	Student(s)’ summary is very creative, unique, and neat..	Student(s)’ summary is creative, unique, neat and pleasing.	Student(s)’ summary is unique, neat and pleasing however not very creative.	Student(s)’ summary is not creative, unique and/or neat. Very little effort put forth to complete this summary.	Student(s) does not create a summary.
Properties explained	All eight properties are defined	Seven or six properties are defined	Five or four properties are defined	three or two properties are defined	one property is defined
Examples	Provides examples for all properties	Provides examples for most of the properties	Provides examples for a few of the properties	Only provides a couple of examples	Provides no examples
Accuracy	All information contained in summary is accurate.	Most of the information contained in the summary is accurate. No more than one error notes.	More than half the information contained in the summary is accurate. Two to four errors found.	Less than half of the information contained in the summary is accurate. Between five and six errors found.	More than six errors found in summary. Or No summary submitted.

Conclusion

Through this task you have explored different mathematical properties. You have discovered how properties are used to solve equations and simplify expressions.

Your next step is to find other ways that these properties might be used and what other properties might be beneficial.