Order of OperationsLesson 1.3

Mr. Sparks & Mr. Beltz

Mr. Sparks’ Color CodeRed= 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 OperationsObjective:

To learn and use the Order of Operations to solve equations.

Background Knowledge:What are the four basic Operations in math?Addition SubtractionMultiplicationDivision*Exponents*Parenthesizes / Grouping

Order of OperationsWhen 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 RememberPEMDASPlease Excuse My Dear Aunt Sally

Or

PE ------

M AD S

Application4 (3+5) / 22 =

What do we do first?

Guided PracticeOn 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 PracticeOn Page 18, complete: # 11-13

*Be prepared to show your work to the class.

HOME WORKPage 18 # 7-10 , 14-16 ,17-22

HW Answers: Check Your Work

#7 = 17

#8 = 6

#9 = 23

#10 = 72

#18 = 11#19 = 1#20 =40#21 = 82#22 = 6 5/9

#14 = 23#15 = 3#16 = 40#17 = 34

Lesson 1.3 Practice B Complete the worksheet. Show your work.

Practice Problem:

#1 As a Class.

6 + 4

24 + 4 / 2

Lesson 1.4Equations and Inequalities

Goal: To learn how to solve equations and check solutions of equations and inequalities.

Text Book P. 24

EquationsAn 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 EquationsFinding all the solutions of an

equation is called Solving the equation.

Some are easy enough to be solved using Mental Math.

SolutionsWhen 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 25Complete #1-4.

Be careful with #1, Don’t leave the Variable as a negative.

InequalityAn 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

InequalitiesInequalities 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 WorkP.27 #26 - 42

PracticeP. 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 WorkP.33 #3-6, 10-19, 24-31, 32-35

Maintaining SkillsP. 35 #47-54

Review HW

Chapter 2To which sets do these numbers belong:

1) 72) 2/33) -34) 05) 0.456) .3337) 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 2Lesson 2.3 p.78

Adding Real Numbers:

Properties of Addition

Lesson 2.3Properties of Addition:

Closure PropertyCommutative PropertyAssociative PropertyIdentity PropertyInverse Property

Closure PropertyClosure 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 PropertyCommutative Property: The order in which two

numbers are added does not change the sum.

“A” + “B”= “B” + “A”

Example: 3 + (-2)= -2 + 3

Associative PropertyAssociative 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 PropertyIdentity Property: The sum of a

number and 0 is the number.

A + 0 = 0

-4 + 0= -4

Inverse PropertyInverse Property: The sum of a

number and its opposite is 0.

A + (-a)= 0

5 + (-5)= 0

Lesson 2.5Multiplying 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 RuleA. -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

D.(-2)4 = 16 Four negative factors= positive

Practice: P.93 #1-3

PracticeP.96

#17-30, 41-45