Date post: | 29-Dec-2015 |
Category: |
Documents |
Upload: | archibald-dalton |
View: | 220 times |
Download: | 0 times |
PowerPoint Lesson
Video Samples
Practice Questions
Project
Flow Charts
Activity
Web Links
Email Mrs. Keeler
©2002 Alice Keeler
Definition of a quadratic function
Plotting Quadratics
Example #2 plotting quadratics
Example #3
A is negative
Practice problems
Vertex
Axis of Symmetry
Examples Axis of Symmetry
Using the axis of symmetry
©2002 Alice Keeler
Simplify:3(3 + 7)2 5 P E M/D A/S
3(3 + 7)2 5 Start with parenthesis, do what is inside of the parenthesis first.
3(10)2 5 P E M/D A/S
Next calculate any exponents.3(10)2 5
3(100) 5 P E M/D A/S
3(100) 5 First come first serve, multiply or divide
300 5 P E M/D A/S
300 5 Still more multiplying or dividing
60
Simplify:27 3(5 – 3)2 P E M/D A/S
27 3(5 – 3)2 Start with parenthesis, do what is inside of the parenthesis first.
27 3(2)2 P E M/D A/S
Next calculate any exponents.27 3(2)2
27 3(4) P E M/D A/S
27 3(4) First come first serve, multiply or divide
9(4) P E M/D A/S
9(4) Still more multiplying or dividing
36
5 32 – 6 + 2[14 – 3(2)]
5 32 – 6 + 2[14 – 3(2)]Note that [ ] brackets are parenthesis, they are useful when you need parenthesis around parenthesis. You can use [ ] or ( ) as is convenient.
With parenthesis (brackets) you need to start order of operations all over again! P E M/D A/S
5 32 – 6 + 2[14 – 3(2)]
P E M/D A/S Inside of the brackets there is not parenthesis or exponents so go straight to the multiply or divide
5 32 – 6 + 2[14 – 3(2)]
5 32 – 6 + 2[14 – 6]
5 32 – 6 + 2[8]
5 32 – 6 + 2(8)
If you prefer parenthesis to brackets, you can trade them.
5 32 – 6 + 2(8)
5 32 – 6 + 2(8)
Now that you are done with the parenthesis, move onto exponents
5 32 – 6 + 2(8)5 9 – 6 + 2(8)
5 9 – 6 + 2(8)
212 2 36
8 2 2
NOTE: When you encounter a fraction there are
INVISIBLE parenthesis around the numerator and the denominator!!!
212 2 36
8 2 2
Invisible parenthesis!
212 2 36
8 2 2
In order of operations P E M/D A/S
first do what is inside of the parenthesis. What this means in this
problem is first simplify the numerator, then simplify the
denominator
212 66
8 2 2
266
8 2 2
now simplify the denominator
266
8 2 2
266
4 2
266
8
REMEMBER: Fractions are division! Now that you have taken care of the parenthesis P E M/D A/S move onto
exponents!
266
8
6
368
REMEMBER: Fractions are division! To divide six eighths you will simply reduce!
336
4 You will need a common denominator
to add three fourths to 36
Common mistake: Order of Operations is a 4 step process, often people mistake it for a 6 step process.
Multiply and Divide are considered EQUAL! This means first come first serve (left to right).
Addition and Subtraction are considered EQUAL! This means first come first serve (left to right).
You are going to be given a problem.
Person 1 starts with the problem and does anything that is inside of parenthesis
Person 2 does any exponents
Person 3 does any Multiplication or Division as is comes left to right
Person 4 does any addition or subtraction as it comes left to right
First: Parenthesis
Second: Exponents
Third: Multiply and Divide left to right
Fourth: Add and Subtract left to right
(STAND UP)
In order of operations there are 4 steps!!!
Please Excuse My Dear Aunt Sally
Common Mistake: NOT six steps only FOUR