Post on 13-Jan-2016
How to enter the room:
1. Greet Mrs. King at the door. A good class begins with mutual respect and recognition.
2. Retrieve a copy of the notes from the materials table. Complete “Math on the Mind” exercises.
3. Open your binder to the first section
4. Write today’s date at the top (9/11/2014)
5. Prepare to take notes
Write an algebraic expression for each phrase.
1. 7 less than 9
2. the product of 8 and p
3. 4 more than twice c
Define variables and write an equation to model each situation.
4. The total cost is the number of sandwiches times $3.50.
5. The perimeter of a regular hexagon is 6 times the length of one side.
9 – 7
8p
2c + 4
Let c = the total cost and s = the number of sandwiches; c = 3.5s
Let p = the perimeter and s = the length of a side; p = 6s
Math on the Mind:
Exponents and
Order of Operations
Algebra A
Unit 1, Lesson 2
Definition
Simplify: replace a numerical expression with its simplest name.
Definition
Exponent: tells how many times a number (the base) is used as a factor.
Order of Operations
PEMDASParenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Simplify 32 + 62 – 14 • 3.
= 32 + 36 – 14 • 3
Simplify the power: 62 = 6 • 6 = 36.= 32 + 36 – 42
Multiply 14 and 3.= 68 – 42 Add and subtract in
order from left to right.= 26 Subtract.
Example of the “long way”
62
Simplify 32 + 62 – 14 • 3.
= 26
Same Example:
Simplify 3(8 + 6) ÷ (42 – 10).
= 7
Practice:
Simplify 4[(2 • 9) + (15 ÷ 3)2].
= 172
Practice:
Practice:
5128253
9
Definition
Evaluate: substitute a given value for each variable into an algebraic expression and then simplify using the order of operations.
Evaluate 5x + 32 ÷ p for x = 2 and p = 3.
= 5 • 2 + 32 ÷ 3 Substitute 2 for x and 3 for p.
= 13
Practice:
Evaluate each expression for x = 11 and z = 16.
a. (xz)2
= 2816= 30,976
= (11 • 16)2 = 11 • 162
b. xz2
Practice:
At the end of the lesson:
1. Make sure your notes are secured in your binder in the notes section and in order.
2. Pay attention for any special instructions regarding the homework.
3. Write your name and the date on the worksheet as soon as you receive a copy.
Homework
Practice 1-2 worksheet
#1-13