D.1: Set Theory
From
Poul.murtha (Talk | contribs) (→Discrete Math Learning modules) |
Poul.murtha (Talk | contribs) (→Discrete Math Learning modules) |
||
| Line 1: | Line 1: | ||
== Discrete Math Learning modules == | == Discrete Math Learning modules == | ||
| - | <br | + | <br> <br> |
Oregon Department of Education standards for Set Theory: | Oregon Department of Education standards for Set Theory: | ||
| Line 9: | Line 9: | ||
D.1.2 Perform set operations such as union and intersection, difference, and complement. | D.1.2 Perform set operations such as union and intersection, difference, and complement. | ||
| - | D.1.3 Use Venn diagrams to explore relationships and patterns, and to make arguments about | + | D.1.3 Use Venn diagrams to explore relationships and patterns, and to make arguments about relationships between sets. |
| - | relationships between sets. | + | |
D.1.4 Demonstrate the ability to create the cross-product or set-theoretic product of two sets. | D.1.4 Demonstrate the ability to create the cross-product or set-theoretic product of two sets. | ||
| - | We all have some intuitive understanding of the notion of a ''set''. However, the notion of set is know in mathematics as primitive; that is, it is a basic term that is commonly understood but is extremely difficult to define (other primitives include point, line, and plane). | + | = Sets<br> = |
| + | |||
| + | We all have some intuitive understanding of the notion of a ''set''. However, the notion of set is know in mathematics as primitive; that is, it is a basic term that is commonly understood but is extremely difficult to define in a way that would be acceptable to mathematicians (other primitives include point, line, and plane).<br> | ||
| + | |||
| + | |||
| + | |||
| + | Informally then a set is a collection of objects, real or imagined. Generally, these objects have one or more common propreties that seperate them from other objects. An example of a set would be '''A''' = {banana, lemon, strawberry, orange, grape}. Clearly, all the objects of this set are fruits | ||
Revision as of 16:07, 19 July 2010
Discrete Math Learning modules
Oregon Department of Education standards for Set Theory:
D.1.1 Demonstrate understanding of the definitions of set equality, subset and null set.
D.1.2 Perform set operations such as union and intersection, difference, and complement.
D.1.3 Use Venn diagrams to explore relationships and patterns, and to make arguments about relationships between sets.
D.1.4 Demonstrate the ability to create the cross-product or set-theoretic product of two sets.
Sets
We all have some intuitive understanding of the notion of a set. However, the notion of set is know in mathematics as primitive; that is, it is a basic term that is commonly understood but is extremely difficult to define in a way that would be acceptable to mathematicians (other primitives include point, line, and plane).
Informally then a set is a collection of objects, real or imagined. Generally, these objects have one or more common propreties that seperate them from other objects. An example of a set would be A = {banana, lemon, strawberry, orange, grape}. Clearly, all the objects of this set are fruits
