1. Warm Up Simplify each square root 1.√8 2.√12

2. Week at a Glance Monday: Rational and irrational numbers Tuesday: Simplifying Square Roots with numbers Wednesday: Simplifying Square roots with variables Thursday: Operations with square roots/review Friday: Quiz

3. Warm Ups 10 points each day 1. Write down the question 2. Show work (if you can) 3. Correct answer *Use your warm ups as a second study guide

4. Useful Tools 1. Website: mskristaevans.wordpress.com  Daily PowerPoints  Important upcoming dates  Test information-study guide answers 2. Remind 101 Text: @27ab To: (470) 238-2447

5. EOCT Practice One question a day We will have a winner each week- reward will be given

6. EOCT QUESTION 1 1. In the diagram, ABC ~ DEF. Find length DF. a. 14.4b. 16.5c. 18.8d. 28.2

7. Part I-Classifying What is a number? How do you classify it?

8. Natural Numbers Natural numbers are the counting numbers: 1, 2, 3, …

9. Whole Numbers are the natural numbers and zero: 0, 1, 2, 3, …

10. Integers are whole numbers and their opposites: –3, –2, –1, 0, 1, 2, 3, …

11. Rational Numbers Are all integers, fractions, terminating decimals, square roots of perfect squares: -3, ½, 5, 8.74,

12. Irrational Numbers Can’t be expressed as a fraction or whole number. They include: Square roots of non-perfect squares Π, e, Non-terminating decimals

13. After the game show…Keeping it straight! Natural NumbersIntegers Irrational Whole NumbersRational Numbers

15. Part II-Properties Multiplication and Addition

16. 1. Commutative Property Commutative Property of Addition-- changing the order in which you add does not change the sum. So, More Examples:

17. Commutative Property Commutative Property of Multiplication-- changing the order in which you multiply numbers doesn’t change the product. So, More Examples:

18. 2. Associative Property Associative Property of Addition-- changing the way the numbers are grouped does not change the sum. Add parenthesis to show Associative Property So,

19. Associative Property Associative Property of Multiplication-- changing the way the numbers are grouped does not change the product. Add parenthesis to show Associative Property

20. 3. Identity Property Identity Property of Addition-- if you add zero to a number, you get the same number! 0 is called the identity of addition!!

21. Identity Property Identity Property of Multiplication-- if you multiply a number by 1, you get the same number! 1 is called the identity of multiplication!!

22. 4. Inverse Property Inverse Property of Multiplication-- a number multiplied by its reciprocal equals 1.

23. Inverse Property Additive Inverse Property--a number plus its opposite equals 0.

24. 5. Distributive Property A number outside parenthesis gets multiplied by every number inside parenthesis.

25. Identify the Property Commutative Prop. Of Multiplication Identity Prop. Of Addition Associative Prop. Of Addition Identity Prop. Of Multiplication

26. Part III-Order of Operations

27. When we say the word OPERATION What are we talking about? What are some “Operations” in math? How can we remember what order to do them in? Does it matter?

28. Do you remember PEMDAS?!?! P: “PHUNKY” stuff: Parentheses, Brackets, Braces, square Roots, and Absolute Value E: Exponents M/D: Multiplication/Division A/S: Addition/Subtraction

29. Example #1

30. Example 2