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