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Quantitative Reasoning
Competence Offered 
L6 Can use mathematical symbols , concepts and methods to describe and solve problems . 
Credit Hours: 4 Quarter Hours
Course Description
This course will cover basic algebraic and statistical concepts. Students will
learn computational skills
ranging from basic variable representation and use of formulas to data
organization and graphing. The
basic skills needed for comprehension will be reviewed as each new concept is
introduced. Scientific
calculators and the Excel spreadsheet program will be used as tools for
exploring algebraic and statistical
concepts. Quantitative reasoning will be a large part of the class discussion.
Specific Learning Outcomes:
1. Understands the symbolic system presented in algebraic equations so that
indicated relationships
have an attainable meaning.
2. Can perform basic algebraic operations including manipulating algebraic
formulas and equations.
3. Can organize data and perform basic statistical calculations.
4. Has ability and confidence to think deductively and numerically about
relationships among
operations, numbers and variables.
•By the end of this class, students will be able to:
•Use the basic algebraic properties .
•Use problemsolving techniques.
•Use and manipulate percentages.
•Solve linear equations.
•Use and manipulate formulas.
•Use a calculator to evaluate formulas.
•Create and organize data sets.
•Interpret and produce meaningful graphs and charts .
Evaluation & Grade Policy: Grades are based on quizzes, homework and class
participation.
Quizzes  Homework Sets  Other 
5 @ 20 pts each Total Points: 100 
4 @ 40 pts each Total Points: 160 
Class Participation @ 20 points 1 Lab @ 60 pts. 1 paper @ 30 pts. Total Points: 110 
Total Points Possible: 370 (Also see 10 Week Plan)
Grading Scale  
90%  100 %  A 
80%  89 %  B 
70%  79 %  C 
60%  69%  D 
Less than 60%  F 
Any grade lower than C  is unacceptable for the SNL
program. Students can opt for a Pass/Fail grade but
must earn a 70% or higher to receive the passing grade. A passing grade does not
factor into a students
GPA but a failing grade does.
Attendance:
Attendance is important and mandatory. Students must be in class to take the
quizzes.
They cannot be made up. Missing more than two classes (or 6 hours of class time)
will
adversely affect a student’s grade and can result in a Failing Grade for the
quarter.
Textbook: There is a required text for this class (see below). Additional
notes and
worksheets for each unit may be available on the class website on Blackboard.
Essentials of: Using and Understanding Mathematics: a Quantitative Reasoning
Approach
Jeffrey O. Bennett & William L. Briggs, Addison Wesley, 2003
ISBN 0201793873
This should be purchased with Web Support
Extra Help: Will be discussed during the first class session.
Essentials of
Using and Understanding Mathematics
A Quantitative Reasoning Approach
Bennett & Briggs 2003
10 WEEK PLAN
Week 1
♦ Go through Syllabus & run through QR 10 week Schedule
Sharing
Can take this class as P/F or Letter grade, decision must be recorded Week 4
Grades posted on Blackboard
Website support and quiz info
Tutoring
♦ Hand out Autobiography Guidelines for paper (30 points) – due Week 3
Chapter 2: Approaches to Problem Solving
Unit 2A: The ProblemSolving Power of Units
Pgs. 7273 Review Working with Fractions
* Chinese Tower to reduce fractions
* Changing Fractions to Decimals and Decimals to Fractions
In class groups do : Pg. 96 (1318 a,f,c,h)
Pg. 7072 Units You can’t add apples and oranges
Pg. 7374 Unit Conversions
Pg. 74 Conversion Factors
Pgs. 7576 Conversions with Units Raised to Powers
In class groups do: Pgs. 8384 (1, 3, 5, 9, 11, 13)
Pgs. 7678 Currency Conversions
Pgs. 7980 Problem Solving with Units
Pgs. 8082 Using Units to Check Answers & Using Units to Help You Solve Problems
In class groups do: Pgs. 8485 (1729 odds)
Unit 2B: Standardized Units: More Problem Solving Power
Pgs. 8790 Standardized Unit Systems U.S. and Metric & The U.S. Customary System
Pg. 89 Practical Matters: Gems and Gold Jewelry concentrate on % of gold karat
fraction to
decimal /24, x grams, ÷ 0.2 = weight in carats of gold
Pg. 91 Review Powers of 10 (+. , x, ÷)
In class groups do: Exercises Pg. 97 (13 odds)
♦ Hand out Student Survey
No HW due next week – start on stuff for week 3 and always work on practice
problems from text
that we did, did not finish, and did not do
Week 2
Review
Pgs. 90 & 92 International Metric System
Pgs. 9293 MetricUSCS Conversions
Pgs. 9394 Temperature Units: Fahrenheit, Celsius, and Kelvin
In class groups do: Pg. 98 (511 odds)
Pgs. 9499 Units of Energy and Power
In class groups do: Pg. 99 (25, 27, 29, & 33)
Unit 2C: Problem Solving Guidelines and Hints
Pg. 102 Read through 4step ProblemSolving Process
Pgs. 101 111 Highlight Hints 18
Chapter 3: Numbers in the Real World
Unit 3A: Uses and Abuses of Percentages
Pg. 119 Review Percentages (%fractiondecimal)
Pgs. 118  124 Three Ways of Using Percentages (Fractions, Describe Change,
Comparisons)
In class groups do: Pg. 132 (119 odds)
Pgs. 124126 Of Versus More Than
Pg. 125 Review What is a Ratio ?
Pgs. 126127 Percentages of Percentages
In class groups do: Pgs. 133134 (2127 odds)
♦ Hand out HW 2C WS
Math Autobiography HW due next week will share and then turn in– and always work
on practice
problems from text that we did, did not finish, and did not do
Next Week Open Book and note Quiz on 2A&B (20 points)
Week 3
Review
Collect HW 2C WS
♦ Units 2A & B Quiz Open Book
Pgs. 127129 Solving Percentage Problems
Pgs. 129131 Abuses of Percentages
In class groups do: Pg. 134 (2941 odds)
Unit 3B: Putting Numbers in Perspective
Pg. 136&138 Writing Large and Small NumbersScientific Notation
Pg. 137 Review of Scientific Notation
In class groups do: Exercises Pg. 148 (15 a, c, & e odds and 913 odds)
Pgs. 138140 Giving Meaning to Numbers
Pgs. 140 144 Perspective Through Estimation, Comparisons, Scaling
In class groups do: Pgs. 148149 (1545 odds)
Pg. 162 Case Study –What is a Billion Dollars?
Unit 3C: Dealing with Uncertainty
Pgs. 151153 Significant Digits (Important: Pg. 153 Ex. Rounding with
Significant Digits)
Pg. 153 Review Rounding
In class groups do: Pg. 161 (115 odds)
Pgs. 153 157 Understanding Errors (Random, Systematic, and Absolute Versus
Relative)
Next Week Open Book and note Quiz on 3A&B (20 points) & always work on practice
problems
from text that we did, did not finish, and did not do
Week 4
Review
♦ Units 3A & B Quiz Open Book
Share Math Autobiography and then collect all (worth 30 points)
Pgs. 157 159 Describing Results: Accuracy and Precision
Pgs. 159160 Combining Measured Numbers
In class groups do: Pgs. 162163 (1743 odds)
Unit 3D: How Numbers Deceive: Polygraphs, Mammograms, and More
Pgs. 164166 Better in Each Case…, & Is it Discrimination?…
Pgs. 167168 Does a Positive Mammogram Mean Cancer?
In class groups do: Exercises Pgs. 171172 (13 odds)
Pgs. 168170 Polygraphs and Drug Tests
Pgs. 170171 Political Math
In class groups do: Pgs. 173174 (511 odds)
Chapter 4: Financial Management
♦ Hand out Review WS and practice problems with Exponents
In class groups do: Practice problems with Exponents
Next Week Open Book and note Quiz on 3C&D (20 points)
Week 5
Review
♦ Units 3C & D Quiz Open Book
♦ Hand out Review WS and practice problems with Substitution
In class groups do: Practice problems with Substitution
Pg. 289 Review  Three Basic Rules of Algebra
♦ Hand out Review WS and practice problems with Solving 1 and 2step equations
In class groups do: Practice problems with Solving Equations
Unit 4A: The Power of Compounding.
Pgs. 178185 Simple Versus Compound Interest, Compound Interest Formula,
Compound Interest
as Exponential Growth , & Calculations for Different Compounding
In class groups do: Exercises Pg. 191 (119 odds)
Pgs. 185188 APY
In class groups do: Pgs. 191192 (2135 odds)
Pgs.188&190 Planning Ahead with Compound Interest
In class groups do: Pg. 192 (3745 odds)
Unit 4B: Savings Plans and Investments
Pgs. 200201 Review Algebra with Powers and Roots
♦ Hand out Review WS and practice problems with Radicals and Roots
In class groups do: Practice problems with Radicals and Roots
Week 6
Go Over questions for Review
Pgs. 194197 Savings Plans (The Savings Plan Formula)
Pgs. 197199 Planning Ahead with Savings Plans
Pgs.199202 Total and Annual Return
In class groups do: Exercises Pgs. 203204 (129 odds)
Unit 4C: Loan Payments, Credit Cards, and Mortgages
Pgs. 205210 Loan Basics, Installment Loans, Choices of Rate and Term
In class groups do: Exercises Pg. 218 (115 odds)
Pgs. 210212 Credit Cards
In class groups do: Pg. 219 (1723 odds)
Pgs. 212217 Mortgages, Fixed Rate Mortgages, Prepayment Strategies, ARMs, & The
Mortgage
Interest Tax Deduction
In class groups do: Pg. 220 (2537 odds)
♦ Hand out HW 4C WS
Next Week Open book and note Quiz on Units 4A& B (20 points)
Week 7
Review
Collect HW 4C
♦ Units 4A& B Quiz Open Book
Chapter 5: Statistical Reasoning
Unit 5A: Fundamentals of Statistics
Pgs. 224230 How Statistics Works, The Process of Statistical Study, Choosing a
Sample, &
Watching Out for Bias
In class groups do: Exercises Pg. 236 (15 odds)
Pgs. 230235 Types of Statistical Study, The Placebo Effect & Blinding,
CaseControl Studies, &
Surveys & Opinion Polls
In class groups do: Pgs. 236237 (739 odds)
Unit 5B: Should You Believe a Statistical Study?
Pgs. 239247 Guidelines 18
In class groups do: Exercises Pgs. 247249 (117 odds)
Unit 5C: Statistical Tables and Graphs
Pgs. 249257 Frequency Tables, Binning Data, Bar Graphs & Pie Charts, &
Histograms & Line
Charts
In class groups do: Exercises Pgs. 258260 (121 odds)
Unit 5D: Graphics in the Media
Pgs. 261270 Graphics Beyond the Basics, & A Few Cautions About Graphics
In class groups do: Exercises Pgs. 271275 (119 odds)
Unit 5E: Correlation and Causality
Pgs. 276 281 Seeking Correlation
Pgs. 281285 The Search for Causality
Pg. 286 Confidence in Causality
In class groups do: Exercises Pgs. 287289 (121 odds)
Unit 5F: Characterizing a Data Distribution
Pgs. 290298 What is Average?, & Shapes of Distributions
In class groups do: Exercises Pgs. 298300 (117 odds)
♦ Hand out HW 5A, B, E, & F WS
Next Week Open book and note Quiz on Units 5C& D (20 points)
♦ The Professor will Email Lab 3 doc and 3&4stats excel
or post on Blackboard
Week 8
Review
Collect HW 5A, B, E, & F WS
♦ Units 5C& D Test 4 Quiz Open Book
♦ Hand out Lab 3 and Lab 3&4 stats2 info
Go to Computer Lab to complete Lab
Finish Lab for HW
Week 9
Collect Lab 3
♦ Course Evaluations
Chapter 6: Probability: Living with the Odds
Unit 6A: Fundamentals of Probability
Pg. 307 A Brief Review  The Multiplication Principle
Pgs. 304312 Theoretical Probabilities, Empirical Probabilities, Subjective
Probabilities,
Probability of an Event Not Occurring, Probability Distributions, & Stating the
Odds
In class groups do: Exercises Pgs. 313315 (135 odds)
Unit 6B: Combining Probabilities
Pgs. 316324 And Probabilities, Either/Or Probabilities, The At Least Once Rule,
Return to the
Chevalier
In class groups do: Exercises Pgs. 324325 (123 odds)
Unit 6C: The Law of Large Numbers
Pgs. 326333 Expected Value , & The Gambler’s Fallacy
In class groups do: Exercises Pgs. 333335 (121 odds)
Unit 6D: Counting and Probability
Pg. 340 A Brief Review  Factorials
Pgs. 337346 Arrangements with Repetition, Permutations and Combinations, &
Probability and
Coincidence
In class groups do: Exercises Pgs. 346348 (133 odds)
♦ Hand out HW 6C&D WS
Next week quiz on Units 6A& B (20 points)
Week 10
Review
Collect HW 6C & D WS
♦ Units 6A& B Test 4 Quiz Open Book
Δ Plan Subject to Change
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