Order with Exponents

1. Order with Exponents

2. 08/26/13 08/26/13 Observe, Question, Comment Order of Operations with Exponents Order of Operations with Exponents Reflection Standard: 6L 6R

3. Standard • AF 1.2: Interpret positive whole-number powers as repeated multiplication. Evaluate expressions that include exponents.

4. 08/26/13 08/26/13 Observe, Question, Comment Order of Operations with Exponents Order of Operations with Exponents Reflection Standard: Objective: 6L 6R

5. Objective • To simplify expressions involving exponents

6. 08/26/13 08/26/13 Observe, Question, Comment Order of Operations with Exponents Order of Operations with Exponents Reflection Standard: Objective: Language of the Discipline: 6L 6R

7. What is a Power? Exponent Base Power

8. VocabularyPowers • A power has two parts, a base and an exponent. For Example [Exponential Form] [Expanded Form] 64 [Standard Form]

9. 08/26/13 08/26/13 Observe, Question, Comment Order of Operations with Exponents Order of Operations with Exponents Reflection Standard: Practice: Objective: Language of the Discipline: Notes/Examples: 6L 6R

10. Exponents Exponents are repeated multiplication. An exponent is the little number found on the upper right hand corner of a number or variable. 3² x³ 3² means…3 times itself 2 times (3)(3) 9 IT DOES NOT MEAN 3 X 2!!!!

11. Exponents So, then, what do you think x³ means? (x)(x)(x) What is (-4)³? (-4)(-4)(-4) (16)(-4) -64

12. Exponents Try some on your own!

13. Write the Expression Using Exponents

14. Write the Expression Using Exponents [Try These]

15. Identify the EXPONENT; BASE; POWER; EXPANDED FORM; and STANDARD FORM • Exponent:_____ • Base:_______ • Expanded Form:__________ • Standard Form:________ • Exponent:_____ • Base:_______ • Expanded Form:__________ • Standard Form:________ • Exponent:_____ • Base:_______ • Expanded Form:__________ • Standard Form:________

21. Order of Operations For x = -5

22. Order of Operations For x = 2 and y = 3

23. Simplify and Evaluate For a = 5 For c = 2.3 For y = 3 For m = 1.5 and n = 4

24. Simplify and Evaluate For a = 5 73 For c = 2.3 16.167 For y = 3 - 9 For m = 1.5 and n = 4 8.5

25. Evaluate the following if a = 2, b = 3, c = 4, and d =5

27. 08/28/13 08/28/13 Observe, Question, Comment Absolute Value Absolute Value Reflection Standard: 7L 7R

28. Standard • NS 2.5: Understand the meaning of absolute value of a number

29. 08/26/12 08/27/12 Observe, Question, Comment Absolute Value Absolute Value Reflection Standard: Objective: 7L 7R

30. Objective • To graph integers • To find absolute values • Why learn this: To represent real-world quantities that are less than zero, such as temperatures and scores.

31. 08/26/12 08/27/12 Observe, Question, Comment Absolute Value Absolute Value Reflection Standard: Objective: Language of the Discipline: 7L 7R

32. Absolute Value |Absolute Value| – The distance between a number and 0 on a number line.

33. 08/26/12 08/27/12 Observe, Question, Comment Absolute Value Absolute Value Reflection Standard: Practice: Objective: Language of the Discipline: Notes/Examples: 7L 7R

34. Finding Absolute Value • Use the Number Line to find the

35. Finding Absolute Value • Use the Number Line to find the

36. Finding Absolute Value • Use the Number Line to find the

37. Take the Absolute Value To Simplify

38. Think of the Absolute Value as SHOWER |Shower Doors| = You always come out of the shower CLEAN!

39. Simplifying an Expression with Absolute Value

40. Simplifying an Expression with Absolute Value What is the difference between the two problems?

41. Simplifying an Expression with Absolute Value

42. Simplifying an Expression with Absolute Value What is the difference between the two problems?

43. Simplifying an Expression with Absolute Value

44. Simplifying an Expression with Absolute Value What is the difference between the two problems?

45. Simplifying an Expression with Absolute Value (Challenge)

47. Assignment #5