• Unit 1: Number Properties

    Just as in life, there are certain things in math that make you shrug and say, "Well, duh. I knew that; it's common sense." This unit will discuss some of the basic algebraic properties which you already know, but may not necessarily know the names of, because they are what some math teachers refer to as the "common sense" properties.

    The really neat thing about these properties is that you can see their uses in everyday, non-mathematical ways. For example, if you drive to work, you "commute." Whether you are driving to work from home, or to home from work, you are making the same trip. (Ignoring those times you take a back road because you do not want to spend two hours sitting on the interstate, of course!) In math, the commutative property tells us when we can move numbers around and still get the same answer. Another example is the associative property. The people you hang out with are also known as your "associates." If you are hanging out with two friends, but one of them is in a different room, you still have the same group of friends. The same applies to certain mathematical situations. If you are grouping numbers, depending upon the situation, the grouping is not going to change anything.

    Completing this unit should take you approximately 6 hours.

    • 1.1: Laws and Properties of Addition

        • 1.1.1: Commutative Law of Addition

        • 1.1.2: Associative Law of Addition

        • 1.1.3: Identity Property of Addition

        • 1.1.4: Property Recognition Activity

        • 1.1.5: Inverse Property of Addition

      • 1.2: Laws and Properties of Multiplication

          • 1.2.1: Commutative Law of Multiplication

          • 1.2.2: Associative Law of Multiplication

          • 1.2.3: Identity Property of Multiplication

          • 1.2.4: Property Recognition Activity

          • 1.2.5: Inverse Property of Multiplication

          • 1.2.6: Multiplication by Zero

        • 1.3: Dividing by Zero Is Undefined

        • 1.4: Distributive Property

        • Unit 1 Assessment