Order of Operations Lesson 1.3
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Transcript Order of Operations Lesson 1.3
Order of Operations
Lesson 1.3
Mr. Sparks & Mr. Beltz
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
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
Order of Operations
When solving Orders of Operations you must follow these
steps:
1st Complete all operations in PARENTHESIZES
2nd Complete all EXPONENTS
3rd FROM left to right: MULTIPLICATION & DIVISION
4th From left to right: ADDITION & SUBTRACTION
Easy Way to Remember
PEMDAS
Please Excuse My Dear Aunt Sally
Or
PE
M A
D S
------
Application
4 (3+5) / 22 =
What do we do first?
Guided Practice
On Page 18, complete problems: #3-6
*Show your work!
*Be prepared to explain your answers to
the class.
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
Guided Practice
On Page 18, complete: # 11-13
*Be prepared to show your work to the class.
HOME WORK
Page 18 # 7-10 , 14-16 ,17-22
HW Answers: Check Your Work
#18 = 11
#7 = 17 #14 = 23
#19 = 1
#15
=
3
#8 = 6
#20 =40
#16 = 40
#9 = 23
#21 = 82
#17 = 34
#22 = 6 5/9
#10 = 72
Lesson 1.3 Practice B
Complete the worksheet. Show your work.
Practice Problem:
#1 As a Class.
6+4
24 + 4 / 2
Lesson 1.4
Equations and Inequalities
Goal: To learn how to solve
equations and check solutions of
equations and inequalities.
Text Book P. 24
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
Solving Equations
Finding all the solutions of an equation is
called Solving the equation.
Some are easy enough to be solved
using Mental Math.
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.
Guided Practice Problems
Solve the following:
2x = 10
4 = x- 3
2+x=6
X=1
3
Page 25
Complete #1-4.
Be careful with #1, Don’t leave the
Variable as a negative.
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
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.
Home Work
P.27 #26 - 42
Practice
P. 29 #64-73, 75,76,80,81
#83-91
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
Class Work
P.33 #3-6, 10-19, 24-31, 32-35
Maintaining Skills
P. 35 #47-54
Review HW
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
Compare the following:
Compare -2 and 3,
Compare .5 and 0
Compare 4/7 and ¾
Write the following numbers in
INCREASING order
-3, 0, 4, -5/4, 3/2, -1
Write the following numbers in
INCREASING order
-3, 3, 3.2, -1/2, -8, 4.5
Chapter 2
Lesson 2.3 p.78
Adding Real Numbers:
Properties of Addition
Lesson 2.3
Properties of Addition:
Closure Property
Commutative Property
Associative Property
Identity Property
Inverse Property
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
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
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)
Identity Property
Identity Property: The sum of a number and
0 is the number.
A+0=0
-4 + 0= -4
Inverse Property
Inverse Property: The sum of a number
and its opposite is 0.
A + (-a)= 0
5 + (-5)= 0
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
Examples of Product Rule
A. -4(5) = -20 One negative factor= negative.
B. -2(5)(-3)= 30 Two negative factors= positive
C. -10(-0.2)(-4)= -8 Three negative factors= negative
4
D. (-2) = 16 Four negative factors= positive
Practice: P.93 #1-3
Practice
P.96
#17-30, 41-45