Simplifying Expressions
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Transcript Simplifying Expressions
Mth 060
Syllabus
Due Date Calendar
Lecture Calendar
Reading Guide
1.1a-1.1b
Class Syllabus
Math 60 Syllabus
Course Information:
Course Title:
Course Number and CRN
Course Credits:
Course Date:
Classroom Meeting Times:
Course Location:
Algebra I
Mth 60 CRN – 11011 (10:15am); 11760 (11:30am)
4 credits
Winter 2014
Tu Th (10:15am-11:20) and (11:30am-12:35)
GRV 114
Instructor:
Liz Coleman
Office
GRV 214
Phone
541-383-7414
e-mail
[email protected] (See http://www.cocc.edu/ecoleman/ for more info)
Office Hours
MWF 9:10 to 9:40 in MOD 103; MWF 12:55 to 1:25 in GRV 110
T 12:35 to 1:30pm & R 9:15am to 10:15 in GRV 114;
SMART Lab Tuesday 8:00-10:00 in GRV 234&235
Recommended Preparation: Mth 20 with a grade C or higher, or by proper placement
test score, or by instructor approval.
Due Dates
• Due Dates versus Lectures
Hawkes
• Software
• SMART Math Lab
Reading Guides
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Found on my directory web site
Print out and COMPLETE before class
Due at the beginning of class
No late reading guides will be accepted
Class Notes
• May be used to complete Exit Tickets
• May be used for Quizzes
• May be used to Review for Tests
Topics from your past…Ch 1
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Fractions operations (+ - X / )
Rounding decimals – place names
Decimal to percent to fraction
Order of Operations: PEMDAS (MD, AS left to right as a grouping)
• Factoring:
• Prime & Composite numbers
• Primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
• Prime Factorization (make tree)
• Least Common Multiple (LCM)
• Ex: find the LCM of 2, 5, 6, 9
• LCM=90
The Real Number Line and
Inequalities
1.1a
Real Number Classifications
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Real Numbers: the numbers found on a Number Line
Hawkes slide 11
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Irrational Numbers: decimals repeating without a pattern (pi, e, non-perfect
square roots)
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Rational Numbers: zero, non-decimals, fractions, repeating decimals, perfect
squares
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Integers: positive/negative non-decimal numbers, zero
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Whole Numbers – zero, positive integers
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Natural (counting) Numbers – positive integers
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Example: Classify 7 in the Real Number System
Try it… Classify -1/2 in the Real Number System
Number Line
• Draw a number line
• Label the number line
• Plotting points
Inequalities
• Inequality Symbols – Hawkes slide 17
• Read either left to right or right to left
• Example: show on a number line all x 2
• Comparing fractions: rewrite with a common
denominator if you can’t determine
• Example: Graph and compare ¾ and 2/3
Try it…
• Show on a number line all x 4
5
2
• Graph and compare and
7
3
Absolute Value
1.1b
Absolute Value
• Absolute Value: the distance from zero on
number line
• Example: Use a number line to show
|5|
|-3|
• What about…
| 4 |
Absolute Value of a Variable
• Variable: a letter whose value may change
• | x | 8
What values of x make this true?
• What about… | x | 10
Graphing Absolute Value
• Example: Graph the solution:
| x | 3
• Example: Graph the solution:
| x | 7
• Try it… Graph the solution:
| x | 5
Summary
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Due Date Sheet
Lecture Calendar
SMART Math Lab
Reading Guides
Coming up…
• Day 2 Adding & Subtracting with Real
Numbers
• Quiz #1 – Due by Friday (SMART Lab)
• Reading Guide for Day 2:
– Instruct Sections 1.2-1.3
– Email [email protected] if you have any problem
getting into Blackboard – I will send a copy
Exit Ticket
On a clean sheet of paper put your full name,
today’s date and the label “Sections 1.1a – 1.1b”
Using your class notes as a review, copy down
these problems and clearly show your answers.
8
1. Classify
in the Real Number system.
9
2. Graph the solution (careful!): | x | 7