Marshall University



Marshall University

MATH 099 Mathematical Skills II

Spring Semester 2012

9 January – 2 May

Monday & Wednesday 5:15-6:30

Domains: Critical Thinking; Mathematical and Abstract Thinking; Ethical, Social, and Historical Thinking;

Oral, Written, and Visual Communication

Instructor Dr. Mary Jane Wolfe, Ph.D.

E-mail guru@ (You must include “Math 099” in the subject line of your message)

Phone (740) 645-6077

Catalog

Description The purpose of this course is to adequately prepare students with low placement test

scores to take college level mathematics courses required in their program of study. This is a 3-hour course and will count toward full time status.

A grade of Credit or No Credit will be assigned.

Course

Objectives Students shall be able to:

• develop a greater understanding of the properties and structures of the number system.

• correctly use algebraic language and symbols.

• develop an increased understanding of signed numbers and their operations.

• demonstrate mastery of formulas and equations.

• show development of logical reasoning.

Prerequisite ACT 17 – 18 OR SAT equivalent OR successful completion of WMTH 001 or MTH 098

Credit 3 semester hours

Text Miller, O’Neil, Hyde. Introductory Algebra. 2nd Edition. 2009.

ISBN#: 978-0-07-795936-4

Why

Mathematics? Learning mathematics and using what you learn adds a richness to your life and to your life

experiences. Yes, you are right, in “real life” you probably have never needed to solve a quadratic equation or find out an answer to a question like this

Two trains leave from a station at the same time. They travel in opposite directions, one at 62 km/h, the other at 48 km/h. How long will it take before the are 550 km apart?

Yes, you are also right, that you don’t understand why learning algebra is considered essential in your preparation to become a health professional, a social worker, a teacher, etc. Don’t worry. It is not being placed in your program with the intent of being an obstacle or roadblock. It is here to help you be a more effective professional, parent, and member of society.

Finally, yes, you have the right to require me to share with you why this is true. You also have the right to experience the power of mathematics for yourself. That is why class attendance is so important. There will be times you will need to interact with me and your classmates to strengthen your mathematical understandings. Neither the textbook alone nor the Khan Academy website can give you everything you need. So for right now, you will need to trust me. By the end of this course you will know these things yourself.

Math Student

Bill of Rights I have the right to learn at my own pace and not feel put down or stupid if I’m slower than

someone else.

I have the right to ask whatever questions I have.

I have the right to need extra help.

I have the right to ask a teacher for help.

I have the right to say I don’t understand.

I have the right not to understand.

I have the right to feel good about myself regardless of my abilities in math.

I have the right not to base my self-worth on my math skills.

I have the right to view myself as capable of learning math.

I have the right to evaluate my math instructors and how they teach.

I have the right to relax.

I have the right to be treated as a competent adult.

I have the right to dislike math.

I have the right to define success in my own terms.

Sandra Davis, University of Minnesota

Calculator

A calculator may always be used. The TI-83/TI-83Plus or similar graphing calculator is recommended for students continuing into MTH 125, MTH 127, MTH 130 and other higher-level courses. Calculators may always be used when taking exams or completing assignments

Attendance

Policy Attendance is necessary for the successful completion of this course and counts toward

your grade. A student can earn up to 150 points for attending class each period. It is expected that each student arrives on time and is prepared for class. If a student misses class, he/she may be able to make up the missed attendance points. Check with your professor before the absence to arrange replacement activities. If the absence results in the missing of an exam, one exam may be made up. A student can obtain an officially excused absence at The Office of Student Affairs, Memorial Student Center MSC 2W38.  It is the student’s responsibility to check the schedule and know exam dates.

Tutoring Marshall University provides multiple options for on-campus tutoring. The Mathematics Department tutoring lab is located in Smith Hall 523. The University College has an all subject tutoring lab on the first floor of Laidley Hall. It is the student’s responsibility to utilize these facilities.

Academic

Honesty Work submitted for credit in this course (quizzes, exams, and homework) must be entirely

composed by the of the student whose name appears on it – with one exception: students may receive help on homework assigns. This help may consist of solving specific questions from the homework, but the student must be able to then solve the problem without looking at the helper’s work. It is the policy of Marshall University to expect academic honesty.  Students who commit breaches of academic honesty will be subject to the various sanctions outlined in the Undergraduate Catalog.   To see the policy in the online catalog: marshall.edu/catalog/undergraduate/ug_09-10.pdf.

Students

with Marshall University is committed to equal opportunity in education for all students,

Disabilities including those with physical, learning and psychological disabilities. University policy states

that it is the responsibility of students with disabilities to contact the Office of Disabled Student

Services (Prichard Hall 117, phone 304.696.2271) to provide documentation of their disability. Following this, the DSS Coordinator will send a letter to each of the student’s instructors outlining the academic accommodation he/she will need to ensure equality in classroom experiences, outside assignment, testing and grading. The instructor and student will meet to discuss how the accommodations(s) requested will be provided.

For more information, visit or the Office of Disabled Student Services, Prichard Hall 117, phone (304) 696-2271

Grading

|CATEGORY |DESCRIPTION |Points |Weight |

| |The Khan Academy website provides sets of Practice Exercises related to the| | |

|KHAN ACADEMY |topics in this course. You will also find exercises you can use to review |500 points |~36% |

|EXERCISES |previous mathematics concepts or deepen you understanding of current course| | |

| |concepts | | |

|IN-CLASS TESTS |Four in-class tests; January 30, February 20, March 14, and April 18 (No |400 points | |

| |use of notes or textbook allowed) | |~43% |

|FINAL EXAM |Comprehensive Final Exam May 2 |200 points | |

| |(No use of notes or textbook allowed) | | |

|TEXTBOOK | |150 |~11% |

|EXERCISES | |points | |

|ATTENDANCE |200 points allotted points for attendance. |150 points |~11% |

| TOTAL |1400 points | |

Students must earn at least a 75% overall to pass the course. To increase the chances for success in future mathematics courses, students should earn as many points as they can from each category.

Credit: 1050 or more points No Credit: Fewer than 1050 points

Marshall University

MATH 099 Mathematical Skills II

Topic

Outline Week 1 – January 9 & 11, 2012 Sections R.1-R.4

|KA Exercises |Textbook Section |To Help with Exercises Watch at Home |

|Multiplying Fractions |R.2 page 19 |Arithmetic Section |

|Dividing Fractions |Exercises 93-105 multiples of 3 |Converting Fractions to |

|Prime Factorization |R.3 page 28 |Decimals |

|Adding and subtracting |Exercises 48-78 multiples of 3 |Greatest Common Divisor |

|fractions |R.4 pages 38 & 39 |Least Common Multiple |

|Geometry 1 |Exercises 12 – 39 multiples of 3 |Equivalent Fractions |

|Solid Geometry | |Mixed Numbers and Improper |

| | |Fractions |

| | |Percent and Decimals |

| | | |

| | |Developmental Math |

| | |The Distributive Property |

| | |- through- |

| | |Adding Mixed Numbers with |

| | |Unlike Denominators |

| | | |

| | |Developmental Math 2 |

| | |Distributive property 3 |

| | | |

| | |Geometry Section |

| | |Area and Perimeter |

| | |Circles: Radius, Diameter, and |

| | |Circumference |

| | |Area of a Circle |

| | |Solid Geometry Volume |

| | |Cylinder Volume and Surface |

| | |Area |

Week 2 January 18, 2012 Sections 1.1 – 1.6, 2.1

|KA Exercises |Textbook Section |To Help with Exercises Watch at Home |

|Absolute Value |1.1 page 53 |Developmental Math 2 |

|Adding & Subtracting |Exercises 3-19 odd |Order of Operations 1 |

|Negative Numbers |1.2 pages 63 & 64 |Order of Operations 2 |

|Multiplying & Dividing |Exercises 3-36 mult. of 3, 51-69 | |

|Negative Numbers |mult. of 3 |Pre Algebra |

|Order of Operations |1.4 pages 79-81 |Introduction to Order of |

| |Exercises 2-7 all, 36–60 mult. of |Operations |

| |3, 61-70 all, 85, 92, 96 |More Complicated Order of |

| |1.5 pages 91 & 92 |Operations Example |

| |Exercises 18-57 mult. of 3, |Level 1 Exponents |

| |103-113 odd, 115, 119, 121, 125, | |

| |143-147 all | Algebra 1 Examples |

| |1.6 pages 102- 105 |Order of Operations Example |

| |Exercises 15-22 all, | |

| |23, 25, 39-60 mult of 3, |Algebra |

| |72-75, 82-117 mult of 3 |Simple Equations |

| |2.1 pages 124-126 |Equations 2 |

| |Exercises 4-100 | |

| |(multiples of 4)+1, |Algebra I Worked Examples |

| |i.e. 5, 9, 13, 17, 21, 25, … |Absolute Value 1 |

| | |Absolute Value and Number |

| | |Lines |

| | |Solving Equations 1 |

| | |Solving Equations 2 |

| | | |

| | | Algebra 1 Examples |

| | |Integers and Rational Numbers |

| | |Variable Expressions |

| | | |

| | |Developmental Math |

| | |Understanding Exponents |

| | |Understanding Exponents 2 |

| | |Evaluate a Formula Using |

| | |Substitution |

| | |Understanding Square Roots |

| | |Order of Operations |

| | |Order of Operations 2 |

| | | |

| | |Locate Integers on a Number |

| | |Line |

| | |-through- |

| | |Dividing Real Numbers with |

| | |Different Signs |

| | | |

| | |Commutative Property of |

| | |Addition |

| | |-through- |

| | |Associative Property for |

| | |Multiplication |

Week 3 – January 23 & 25, 2012 Sections 2.2 - 2.4

|KA Exercises |Textbook Section |To Help with Exercises Watch at Home |

|Writing Expressions 1 |2.2 pages 133-135 |Algebra |

|Distributive Property |Exercises 12-47 mult. of 3, |Simple Equations |

| |69-90 mult. of 3 |Equations 2 |

| |2.3 page 141 |Equations 3 |

| |Exercises 15, 17, 23, 37-47 odd | |

| |2.4 pages 149-150 |Algebra Worked Examples |

| |Exercises 3-8 all, 19, 23, 27, 31, |Solving Equations with the |

| |37, 45, 54 |Distributive Property 1 |

| |2.5 pages 157 & 158 |Solving Equations with the |

| |Exercises 5-17 all, 24, 29, 30 |Distributive Property 2 |

| |2.6 pages 165-168 | |

| |Exercises 9, 16, 21, 24, 33, 36, 41, | |

| |44, 49, 50, 51, 54, 57, 58 | |

Week 4 – January 30 & February 1, 2012 Sections 3.1 – 3.5, exam 1/30

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

|Linear Equations 1 |3.1 pages 210-212 |Developmental Math 2 |

|Linear Equations 2 |Exercises 3-27 mult. of 3 |Plotting (x, y) relationships |

|Linear Equations 3 |3.2 pages 225-229 |Quadrants of Coordinate |

|Graphing Points |Exercises 9-24 mult. of 3, |Plane |

|Line Graph Intuition |47-57 odd, 66, 69, 71 |Graphing using X and Y |

| |3.3 pages 238-241 |Intercepts |

| |Exercises 3, 5, 15-72 mult. of 3 |Ordered pair solutions of |

| |3.4 pages 248-251 |Equations |

| |13-77 (multiples of 4)+1, |Application problem with |

| |i.e., 13, 17, 21, 25, 29, 33, … |graph |

| |page 252 |Graphical slope of a Line |

| |Exercises 1-20 all |Slope of a Line 2 |

| |3.5 pages 258-260 |Slope of a Line 3 |

| |Exercises 11, 14, 17, 24, 25, |Slope of Perpendicular Line |

| |27, 31, 34, 35, 38, 39, 52, 55 | |

| |3.6 pages 264-267 |Algebra |

| |Exercises 9-18 mult. of 3 |Algebra graphing lines 1 |

| | |Algebra Slope and Y- |

| | |intercept intuition |

| | |Algebra Slope |

| | |Algebra Slope 2 |

| | |Algebra Slope 3 |

| | |Equation of a line |

| | |Equation of a line 2 |

| | |Equation of a line 3 |

| | |Parallel Line Equation |

| | | |

| | |California Standards Test: Algebra I |

| | |CA Algebra I: Slope and y- |

| | |intercept |

Week 5 – February 6 & 8, 2012 Sections 3.7 & 4.1

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

|Slope of a line |3.7 pages 276-277 |Algebra |

|Solving for the y- |3-33 mult. of 3 |Introduction to functions |

|intercept |4.1 pages 302-305 | |

|Equation of a line |3-9 odd, 11-14 all, |Developmental Math 3 |

|Line Relationships |27, 28, 37, 40 |Graphing Systems of |

| | |Equations |

| | |Testing a solution for a |

| | |system of equations |

| | |Consistent and Inconsistent |

| | |Systems |

| | |Independent and Dependent |

| | |Systems |

| | |Graphical Systems |

| | |Application Problem |

| | |The Substitution Method |

| | |Substitution Method |

| | |Substitution Method 2 |

| | |Substitution Method 3 |

| | |Addition Elimination Method 1 |

| | |Addition Elimination Method 2 |

| | |Addition Elimination Method 3 |

| | |Domain and Range 1 |

| | |Domain and Range 2 |

| | |Basic Linear Function |

Week 6 – February 13 & 15, 2012 Sections 4.2 4.3, 5.1, 5.2, & 5.5

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

|Functions 1 |4.2 page 315 |Developmental Math |

|Systems of Equations |33-45 mult. of 3 |Terms coefficients and |

|Exponents 1 |4.3 pages 322-323 |exponents in a polynomial |

|Exponents 2 |11-21 all, 33, 35 |Evaluating a polynomial at a |

|Exponents 3 |5.1 pages 367-369 |given value |

| |3-108 mult. of 3 |Evaluating an expression with |

| |5.2 pages 373-374 |multiple variables |

| |3-72 mult. of 3 |Simply a polynomial |

| |5.3 pages 381-382 |Simplifying an expression with |

| |9-81 mult. of 3 |multiple variables |

| |5.5 pages 395-397 |Adding Polynomials |

| |3-12 all, 15-60 mult. of 3 |Adding polynomials with |

| | |multiple variables |

| | |Opposite of a Polynomial |

| | |Subtracting Polynomials |

| | | |

| | |Developmental Math 2 |

| | |Addition Elimination Method 1 |

| | |Addition Elimination Method 3 |

| | |Addition Elimination Method 4 |

| | | |

| | |Pre-Algebra |

| | |Level 2 Exponentts |

| | |Negative Exponent Intuition |

| | |Exponent Rules parts 1 and 2 |

| | | |

| | |Algebra Worked Examples |

| | |Simplifying Expressions with |

| | |Exponents 1, 2, and 3 |

Week 7 – February 20 & 22, 2012 Section 5.6, exam 2/20

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

|Multiplying Expressions 1 |5.6 pages 404-407 |Developmental Math |

| |3-117 multiples of 3 |Multiplying Polynomials |

| | |Multiplying Monomials by |

| | |Polynomials |

| | |Multiplying Binomials |

| | |Multiplication of Polynomials |

| | |Special Polynomials Products 1 |

| | |Square a Binomial |

| | |More multiplying polynomials |

| | | |

| | |Algebra I |

| | |Level 1 Multiplying Expressions |

Week 8 – February 27 & 29 Sections 6.1 and 6.2

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

| |6.1 pages 435-436 |Developmental Math 2 |

| |3-15 all, 18-45 mult. of 3, |Monomial Greatest Common |

| |53, 55, 57 |Factor |

| |6.2 page 441 |Factor polynomials using the |

| |7-19 all |GCF |

| | |Factor expressions by grouping |

| | |Factoring trinomials with a |

| | |leading 1 coefficient |

| | |Factoring trinomials with a |

| | |common factor |

Week 9 – March 5 & 7, 2012 Sections 6.3 and 6.4

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

| |6.3 pages 450-451 |Developmental Math 2 |

| |Exercises 13-20 all, 21-39 mult. of 3 |Factoring trinomials with a |

| |6.4 pages 456-457 |non-1 leading coefficient |

| |Exercises 3-7 all, 9-27 mult. of 3 |Factoring perfect square |

| | |trinomials |

| | |Factoring difference of squares |

| | |Factoring Sum of Cubes |

| | |Factoring the Difference of |

| | |Cubes |

Week 10– March 12 & 14, 2012 Sections 6.5 and 6.6, exam 3/14

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

| |6.5 pages 463-464 |Developmental Math 2 Section |

| |Exercises 9-36 mult. of 3, |Solving factored equations |

| |45-60 mult. of 3 |Solving quadratics by factoring |

| |6.6 page 469 |Applications Problem Factoring |

| |Exercises 11-29 all, 30-45 mult. of 3 |Quadratics |

Week 11– March 26 & 28, 2012 Sections 6.7 and 8.1

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

|Solving quadratics by |6.7 pages 477-478 |Pre-Algebra |

|factoring |Exercises 5-36 mult. of 3 |Simplifying Radicals |

| |8.1 pages 589-591 | |

| |Exercise 3-102 mult. of 3 |Algebra |

| | |Solving a quadratic by factoring |

| | |Introduction to the Quadratic |

| | |Equation |

| | | |

| | |Algebra Worked Examples |

| | |Solving Quadratic Equations by |

| | |Factoring |

| | |Solving Quadratic Equations by |

| | |Factoring 2 |

| | |Solving Quadratic Equations by |

| | |Factoring 3 |

| | |Quadratic Functions |

Week 12 – April 16 & 18, 2012 Section 9.3, exam 4/18

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

|Quadratic Equation |9.3 pages 667-669 |Developmental Math 2 |

| |Exercises 9-54 mult. of 3 |Simple Quadratic Equation |

| |Problem Recognition Exercises |Quadratic Equations in |

| |1 – 22 all |Standard Form |

| | | |

| | |Algebra |

| | |Quadratic Equation Part 2 |

| | | |

| | |Algebra 1 Worked Examples |

| | |Quadratic Formula 1 |

| | |Quadratic Formula 2 |

| | |Quadratic Formula 3 |

| | | |

| | |California Standards Test: Alg 1 |

| | |CA Algebra 1: Factoring |

| | |Quadratic Equations |

| | |CA Algebra 1: Quadratic |

| | |Equation |

| | |CA Algebra 1: Quadratic |

| | |Roots |

| | | |

| | | Examples |

| | |The Quadratic Formula |

Week 13 – April 23& 25, 2012 Section 9.4

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

| |9.4 pages 678-680 | Algebra 1 Examples |

| |Exercise 3-51 mult. of 3 |Graphs of Quadratic Equations |

| | |Solving Quadratic Equations by |

| | |Graphing |

Week 14 – April 30 & May 2, 2012 Course Review, Final Exam 5/2

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

|Finish all previously assigned Khan|Ch 9 Review pages 685-688 |Review videos of your choosing |

|Academy exercises |Exercises 1-4 all, 23-33 all, 37-48 all | |

| |Cumulative review exercises 1, 2, 3, 7, 10, | |

| |12, 13, 22, 23, 24, 25, 29, 36, 38, 39, 40, | |

| |41, 44, 45 | |

| |Complete Chapter Reviews and Chapter Tests as| |

| |needed. | |

Supplemental Chapter 7 Sections 7.1-7.4

|KA Exercises |Textbook Exercises |To Help with Exercises Watch at Home |

| |7.1 pages 505-507 |Developmental Math 3 |

| |Exercises 1-71 odd, |Domain of a Rational Expression 1 |

| |85-97 odd |Simplifying Rational Expressions Example 2 |

| |7.2 pages 512 & 513 |Multiplying and Simplifying Rational Expressions |

| |Exercises 1-54 mult. of 3 |Dividing and Simplifying Rational Expressions |

| |7.3 pages 517-519 |Algebraic Expression Least Common Multiple |

| |Exercises 1- 59 odd |Adding Rational Expressions |

| |7.4 pages 526-527 |Subtracting Rational Expressions |

| |Exercises 3-57 mult. of 3 |Simplifying First for Subtracting Rational Expressions |

| | |Adding and Subtracting Rational Expressions |

| |Problem Recognition Exercises page|Complicated Rational Expressions |

| |529 |Rational Equations |

| |Exercises 1 – 20 all |Extraneous Solutions to Rational Equations |

| | |Algebra 1 Worked Examples |

| | |Simplifying Rational Expressions |

| | |Simplifying Rational Expressions 2 |

| | |Simplifying Rational Expressions |

| | |Multiplying and Dividing Rational Expressions 1 |

| | |Multiplying and Dividing Rational Expressions 2 |

| | |Multiplying and Dividing Rational Expressions 3 |

| | |Adding and Subtracting Rational Expressions 1 |

| | |Adding and Subtracting Rational Expressions 2 |

| | |Adding and Subtracting Rational Expressions 3 |

| | |Solving Rational Equations 1 |

| | |Solving Rational Equations 2 |

| | |Solving Rational Equations 3 |

| | | Algebra 1 Examples |

| | |Adding Rational Expressions Example 1 |

| | |Adding Rational Expressions Example 2 |

| | |Adding Rational Expressions Example 3 |

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