Students will learn about sets of real numbers using different notations. Roster notation lists all elements of a set, while set builder notation describes the properties elements must satisfy using symbols like ∈ and ∉. Examples show using set builder notation to define the set of real numbers greater than -4 and integers between -2 and 14. A graphic organizer is provided to classify types of real numbers into sets defined with standard notations like R, N, Z, Q, and I.

1. Students will identify sets of numbers using symbols and set builder notation. Set Builder Notation and Sets of Real Numbers

2. Set A collection of objects that have certain common features Roster Notation Complete listing of all elements of a set Set Builder Notation Describes by stating the properties that each member of the set must satisfy  is an element of the set  is not an element of the set such that ... called an ellipsis, indicates an omission of numbers Definitions

3. Given the set A = {2,4,5,8,10,15}. Describe what type of notation is used. Roster Notation Determine the correct symbol (∈ or ∉) to describe: 6 ____ A Determine the correct symbol (∈ or ∉) to describe: 8 ____ A Example 1  

4. Describe the following set using set builder notation: the set of real numbers more than -4. The set of integers between -2 and 14. Example 2 {x x  I where -2 < x< 14} {x x is a ℝ > -4}

5. Classifying Real Numbers Complete Graphic Organizer

6. Sets of Real NumbersGraphic Organizer Set Notation w/ Examples Symbol for Set ℝ = {x x corresponds to a number on the number line} ℝ N = {1, 2, 3, 4, 5…} N W = {0, 1, 2, 3, 4…} W ℤ = {…-2, -1, 0, 1, 2…} ℤ Q = {a/b a and b  Z and b ≠ 0} Q I = {x x is a R  Q } I Set Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers