1. PRE-AICE ALGEBRA I 9/3 Introduction to Pre-AICE Expressiions

2. WELCOME TO Pre-AICE Algebra 1!

3. Syllabus

4. Getting to Know You Activity  Human Centipede  Group Activity  With the members of your group you must come up with things in your life that add to 100 Example: Ms Hahne has 1 dog – 1 niece + 1 cat + 2 cousins – 7 mile drive to work + 1 brother + 131 kids - 25 years old – 3 classes I teach = 100

5. We are diving right in…

6. Today I will be able to…  Use the correct order of operations  Combine Like Terms  Translate verbal expressions to algebraic expressions and vice versa  Evaluate expressions for given variables

7. Expressions  In algebra we use expressions. An expression is just a mathematical phrase that can include numbers, variable, and operation symbols (+, -,, x). When we simplify expressions we have to use the correct order of operations.

8. Order of Operations  Here is an acronym for you to remember the correct order of operations: PEMDAS  P ___________________________________________________________  E ___________________________________________________________  MD _________________________________________________________  AS___________________________________________________________  Here is a sentence to help you remember the acronym: Please Excuse My Dear Aunt Sally

9. Using the correct order of operations is a four-step process:  Step 1: Evaluate expressions inside grouping symbols first. Grouping symbols are:  Parentheses ( )  Brackets [ ]  Braces { }  Fraction bars  Step 2: Evaluate all exponents.  Step 3: Do all multiplication and/or division from LEFT to RIGHT.  Step 4: Do all addition and/or subtraction from LEFT to Right.

10. Example #1  Simplify the following expression using the correct order of operations:

11. Example #2 1

12. Example #2 2

13. Example #2 3

14. Example #2 4

15. Example #2 5

16. Example #2 6

17. Example #2 7

18. Example #2 8

19. Example #3  Find the missing signs. There are no brackets.  1. 7 5 4 = 27  2. 20 30 10 8 = 25

20. Combining Like Terms  Term  Variable  Like Terms

21. Example #4  Indicate which terms are like terms below. You may use highlighters, markers, colored pencils, or different shapes around each term. x y x² 2x xy x²y 3x² 81²y 17xy 2c cac3c 2x²y

22. Example #5 1

23. Example #5 2

24. Example #5 3 -2 + 3xy 2 + 2x 2 y – 4x 2 y + 1

25. Example #5 4 8h + 3h 2 – 3y + 7y – 2h

26. Example #5 5 -5y + 2x + 5y

27. Example #5 6 12x + 8y + (-7x) + 18y

28. Translating Expressions Verbally and Algebraically  Translate

29. Brainstorm synonyms for the following words: AdditionSubtraction: Multiplication:Division:

30. Example #6 1. a decreased by n2. a increased by z 3. The product of n and r4. The opposite of a number 5. The quotient of n and r6. The sum of a and b 7. The difference of n and z8. Half of the quantity x minus two

31. Example #7 1

32. Example #7 2

33. Example #7 3

34. Example #7 4

35. Example #7 5

36. Example #7 6

37. Evaluating Expressions  Evaluate  Substitute  Simplify

38. There are two steps we take when we evaluate an algebraic expression.  Step 1: Substitute a given number for each variable  Step 2: Simplify the numerical expression using the order of operations

39. Example #8  Evaluate the given expression for a = 4 and b = 2

40. Example #9  Evaluate the given expression for a = 7 and b = 4

41. Example #10  Evaluate each expression for x = 10 and y = 5.  1. 2.

42. These two expressions look very similar. Do we get the same answer for both? Why or why not?

43. Example #11 1  Evaluate the following expressions for s = 11 and v = 8.

44. Example #11 2  Evaluate the following expressions for s = 11 and v = 8.

45. In Class Work:  Summer Assignment  Practice Expressions Worksheet  Journal Entry #1  Begin Sample Assessment Unit 1  HW: Journal Entry #1 Get a Parent to sign your syllabus! Continue working on summer assignment, expressions worksheet and sample assessment.

46. Journal Entry #1  1. What is one thing you like about math?  2. What is one thing you do not like about math?  3. How do you best learn math?  4. What would you like me to do this year to help you learn math?  5. Why do you think we need to learn math?  6. Is there anything I should know about that may effect your performance in math this year?