1. Chapter 1 Order Of Operations
Algebra I
Day 1
7/07/09

2. Warm-Up Evaluate each expression given: w = 4, x = 5, y = 2, and z = 1
a) x + w =
b) y – z =
c) 2w – y =
d) xy – wz =
2) Put these numbers in order from least to greatest: 5, 0, -2, -7, 4.5, 4.499

3. Order, Order, Order
What do the words ace, lost, bent, and below all have in common?
(hint look at the letters)
* All the letters are in alphabetical order.

4. In 5 steps or more explain how you would make a peanut butter and jelly sandwich? (Don’t leave out any details)

5. Order Of Operations
Put these operations in the order you think is correct.
Multiplication
Addition
Division
Exponents
Subtraction
Parentheses

6. PEMDAS Parentheses Exponents Multiplication/Division (left to right)
Addition/Subtraction (left to right)
Using the Order of Operation try to evaluate this expression:

7. Guided Practice
Order of Operations using numbers.
Order of Operations using variables with designated values.

8. Class Work
Worksheet on “Order of Operations”
Homework
* Finish the Worksheet

9. Drill Write the numbers in increasing order:
Evaluate each expression when x = 6, y = 3
a) b)

10. Algebra 1
Objective: Graphing real numbers on a number line, Classify and order real numbers.

11. Calculating
To calculate square roots on the calculator use the 2nd button, then the [x2] button.
To use absolute value bars you use the MATH button, then select abs(, from the list.
To change an exponent use the ^ button on the calculator.

12. Algebra I
Objective: Students will be able to distinguish between the different types of real numbers and be able to evaluate square root expressions.

13. Types of Numbers
Real Numbers
Rational Numbers
Irrational Numbers
Integers
Whole Numbers
Natural Numbers

14. Real Numbers (R)
All numbers used in everyday life, the set of all rational and irrational numbers.
Ex: ½ , -3, 4.667,

15. Natural Numbers (N)
All Integers except negative numbers and zero.
Ex: {1, 2, 3, 4, 5, ….}

16. Whole Numbers (W)
All Integers except for all the negative numbers.
Ex: {0, 1, 2, 3, 4, 5, ….}

17. Integers (Z)
All non-decimal or fractional numbers including all positive numbers, negative numbers and zero.
Ex: {...-2, -1, 0, 1, 2, 3, …}

18. Rational Numbers (Q)
Any number , where m and n are integers and n is a non-zero. The decimal form is either a terminating or repeating decimal.
Ex: ½ , 2.555,

19. Irrational Numbers (I)
Any number which can not be written as a fraction. The decimal form neither repeats or terminates.
Ex: …

20. Number Chart
Real Numbers (R)
(Q)
(Z)
(w)
(N)
(I)

21. Examples -4
….. 8

22. Drill |-3 –8| 2) |5 – 19| a) –12 b) 5.46 c) 0 d)
|-3 –8| 2) |5 – 19|
What type of number is each one below:
a) –12
b) 5.46
c) 0 d)
Evaluate the
expression:

23. Adding Fractions
When adding fractions by hand you must have common denominators.
When using fractions on the calculator you must ALWAYS put the fractions in parentheses.
To change a decimal to a fraction on the calculator press (MATH) select  FRAC then on the screen it will say Ans  Frac then press (ENTER)

24. Classwork
Pages 76 – 77
#’s 17 – 59

25. DRILL
1) – 5 = 2) 3)

26. Algebra I Multiplying and Dividing Rational Numbers

27. Multiplying Fractions
To Multiply Fractions we simply multiply the numerators and than multiply the denominators.

28. Reciprocal
A reciprocal is a number you have to multiply by to get 1.
To get a reciprocal you simply make the number a fraction if it is not already and flip it.

29. Dividing Fractions
When you divide by a fraction you simply multiply by its reciprocal.

30. Class Work
Pages 80 – 81
#’s 4 – 9
#’s 12 – 33
#’s

31. Drill How do you find perimeter of an object?
What would be the perimeter of a square if one side is 8 feet?
Evaluate a + b + c, if a = 4, b = 12, and c = 13

32. Chapter 1 Using Formulas Algebra I

33. Formulas
What are some things that you can use a formula for in math and in the real world?

34. Substitution
When substituting make sure to put parentheses around the number or numbers you are plugging into the expression or formula.
Ex: 4a + 3x – 5, if a = 7 and x = 6
4(7) + 3(6) – 5

35. Class Work/Homework
Worksheet on Formulas