1. Order of Operations Lesson 1.3 Mr. Sparks & Mr. Beltz

2. Mr. Sparks’ Color Code Red= RECORD Green= General Information [not necessary to record] Blue = CHOOSE TWO [pick whichever two you want to record] Purple= Primary Source/ Real Life Example

3. Order of Operations Objective: To learn and use the Order of Operations to solve equations. Background Knowledge: What are the four basic Operations in math? Addition Subtraction Multiplication Division *Exponents *Parenthesizes / Grouping

4. Order of Operations When solving Orders of Operations you must follow these steps: 1 st Complete all operations in PARENTHESIZES 2 nd Complete all EXPONENTS 3 rd FROM left to right: MULTIPLICATION & DIVISION 4 th From left to right: ADDITION & SUBTRACTION

5. Easy Way to Remember PEMDAS Please Excuse My Dear Aunt Sally Or PE ------  MA DS

6. Application 4 (3+5) / 2 2 = What do we do first?

7. Guided Practice On Page 18, complete problems: #3-6 *Show your work! *Be prepared to explain your answers to the class.

8. Substituting Variables with the Order of Operations What does it mean to substitute a variable? [if your not sure think of what it means to substitute something else, IE teachers, players on a team, etc.] Solve the equation when X= 3 (X + 7) / 2 (3 + 7) / 2 (10) / 2 = 5

9. Guided Practice On Page 18, complete: # 11-13 *Be prepared to show your work to the class.

10. HOME WORK Page 18 # 7-10, 14-16,17-22

11. HW Answers: Check Your Work #7 = 17 #8 = 6 #9 = 23 #10 = 72 #18 = 11 #19 = 1 #20 =40 #21 = 82 #22 = 6 5/9 #14 = 23 #15 = 3 #16 = 40 #17 = 34

12. Lesson 1.3 Practice B Complete the worksheet. Show your work. Practice Problem: #1 As a Class. 6 + 4 2 4 + 4 / 2

13. Lesson 1.4 Equations and Inequalities Goal: To learn how to solve equations and check solutions of equations and inequalities. Text Book P. 24

14. Equations An EQUATION is a statement formed by placing an equal (=) sign between two expressions. An equation has a left and a right side. EX: 4x + 1 = 9

15. Solving Equations Finding all the solutions of an equation is called Solving the equation. Some are easy enough to be solved using Mental Math.

16. Solutions When the variable in an equation is replaced by a number, the resulting statement is either true or false. If the statement is true, the number is a SOLUTION of the equation. EX: 4x + 1 = 9 “2” is the solution to this problem.

17. Guided Practice Problems Solve the following: 2x = 10 4 = x- 3 2 + x = 6 X = 1 3

18. Page 25 Complete #1-4. Be careful with #1, Don’t leave the Variable as a negative.

19. Inequality An Inequality is a statement formed by placing an inequality symbol, such as <, between two expressions. < is less than < is less than or equal to > is greater than > is greater than or equal to

20. Inequalities Inequalities can have MORE THAN ONE ANSWER [solution] !!! P.26 Complete #6,7,8,9. Write if the answer is a solution or not a solution.

21. Home Work P.27 #26 - 42

22. Practice P. 29 #64-73, 75,76,80,81 #83-91

23. Lesson 1.5 Translating Words into Mathematical Symbols Review P.30-31 Examples 1,2,3 Practice 30-31 #1-6 Review P. 32 Example 5,6

24. Class Work P.33 #3-6, 10-19, 24-31, 32-35

25. Maintaining Skills P. 35 #47-54 Review HW

26. Chapter 2 To which sets do these numbers belong: 1) 7 2) 2/3 3) -3 4) 0 5) 0.45 6).333 7) 0.161161116… 8) TT [pie] 9) Square Root of 2

27. Compare the following: Compare -2 and 3, Compare.5 and 0 Compare 4/7 and ¾

28. Write the following numbers in INCREASING order -3, 0, 4, -5/4, 3/2, -1

29. Write the following numbers in INCREASING order -3, 3, 3.2, -1/2, -8, 4.5

30. Chapter 2 Lesson 2.3 p.78 Adding Real Numbers: Properties of Addition

31. Lesson 2.3 Properties of Addition: Closure Property Commutative Property Associative Property Identity Property Inverse Property

32. Closure Property Closure Property: the sum of any two real numbers is a unique real number. Example: “A” + “B” is a unique real number. 4 + 2= 6

33. Commutative Property Commutative Property: The order in which two numbers are added does not change the sum. “A” + “B”= “B” + “A” Example: 3 + (-2)= -2 + 3

34. Associative Property Associative Property: The way three numbers are grouped when adding does not change the sum. (a + b) + c= a + (b + c) Example: (-5 + 6) + 2= -5 + (6 + 2)

35. Identity Property Identity Property: The sum of a number and 0 is the number. A + 0 = 0 -4 + 0= -4

36. Inverse Property Inverse Property: The sum of a number and its opposite is 0. A + (-a)= 0 5 + (-5)= 0

37. Lesson 2.5 Multiplying Real Numbers Product Rules of a Signed Number The product of two numbers with the same sign is POSITIVE The product of two numbers with different signs is NEGATIVE *Even amount of negative signs= positive *Odd amount of negative signs= negative

38. Examples of Product Rule  -4(5) = -20 One negative factor= negative.  -2(5)(-3)= 30 Two negative factors= positive  -10(-0.2)(-4)= -8 Three negative factors= negative  (-2) 4 = 16 Four negative factors= positive Practice: P.93 #1-3

39. Practice P.96 #17-30, 41-45