Complete the first SAT question in your packet…I have to give them to you first!

1. Complete the first SAT question in your packet…I have to give them to you first! You have 5 minutes!

3. Review: Sets of Numbers Section 1-1

4. Vocab • Set • Element • Subset • Empty Set • Roster Notation • Finite Set • Infinite Set • Interval Notation • Set- builder Notation

5. Definitions • Set- a collection of items • Elements- the items which make up a set • Subset- A set whose elements belong to another set • Empty set- a set with no elements • Roster notation- elements of a set represented with braces { }

6. Def Continued • Finite Set- Definite, or finite number of elements • Infinite Set- Unlimited or infinite number of elements

7. So Why do I care? • Sets are all around you…. • Just like a collection right? • Creating a set is like creating a way to classify information. • ACTIVITY TIME!!!

8. Activity

9. Sets

10. Subsets?

11. Roster Notation • Use the elements listed in our sets to develop sets using roster notation • Use braces to list your elements • { }

12. Uses of Sets In Math • Remember Rational and Irrational Numbers? • What is a Rational Number? • Numbers that can be expressed as a quotient or ratio of two integers where the denominator is not a zero • Examples: -4/3, 1.25, etc. • What is an Irrational Number? • Numbers that cannot be expressed as a quotient of two integers, and their decimal forms do not terminate or repeat. • Example: π WHOA….ratio means what? What about denominator?!?!?

13. Real Number Sets Rational Numbers Irrational Numbers Integers Whole Numbers Whole numbers-the set of natural numbers and zero Natural Numbers Integer-a member of the set of whole numbers and their opposites Natural numbers-a counting number

14. Classify

15. Example

16. Classify

17. Order the numbers using roster notation

18. Finite set vs Infinite Set • Finite Set: A limited number of elements are contained in the set • Example: The numbers on cards in a deck of cards • Infinite Set: A never ending amount of elements in a set. • Example: The numbers in the universe

19. Interval Notation • Would be hard to represent infinite sets using roster notation • Interval notation- Represents the set of numbers contained between two endpoints. • You can include or exclude points here

20. Exclude/ Include

21. 1 tell your group • What numbers are represented by the following: [5, 15]

22. 3 tell your group • What numbers are included in the set (3, 7)

23. 2 Infer and Tell your Group • What is meant by (3, 12]

24. Whole class

25. Graphical Representation • The ( ) are represented by open dots when graphing on a number line • The [ ] are represented by closed dots when graphing on a number line • SMARTBOARD

26. Practice! • Complete the worksheet in your groups of three!

27. Practice 1

28. Practice 2

29. Set Builder Notation

30. What does this mean?