Fredericksburg & Chancellorsville, VA Student Copy Mr. Sparks.
Order of Operations Lesson 1.3 Mr. Sparks & Mr. Beltz.
-
Upload
thomas-taylor -
Category
Documents
-
view
216 -
download
2
Transcript of Order of Operations Lesson 1.3 Mr. Sparks & Mr. Beltz.
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