Marshall University



Marshall University

MATH 099 Mathematical Skills II

Fall Semester 2011

Monday-Wednesday 5:00-6:15

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.

• further an understanding of signed numbers and their operations.

• illustrate 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 m 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-83 Plus or similar graphing calculator is recommended for students continuing into MTH 125/MTH 127/MTH 130 and other higher-level courses.

Attendance

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

your grade. A student can earn up to 200 points for attending class each of the 19 class days. It is expected that each student shows up 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.  The score of any missed exam will be replaced by your score on the comprehensive final exam.. 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(DSS)

In 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, please visit or the Disabled Student Services Office, Prichard Hall 11, phone (304) 696-2271

Grading

|CATEGORY |DESCRIPTION |Points |Weight |

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

|HOMEWORK |topics in this course. You will also find exercises you can use to review |500 points |50% |

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

| |concepts | | |

|IN-CLASS TESTS |Two in-class tests; September 21 and October 12 |200 points | |

| | | |30% |

|FINAL EXAM |A comprehensive final exam will be given in class on December 7 |100 points | |

|ATTENDANCE |200 points allotted points for attendance. |200 points |20% |

| TOTAL |1000 points |100% |

Students must earn at least a 75% overall to pass the course. To be successful, students should earn as many points as they can from each category.

Credit: 750 or more points No Credit: Fewer than 750 point

Marshall University

MATH 099 Mathematical Skills II

Topic

Outline Week 1 – August 22 & 24, 2011 Sections R.1-R.4

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

|Adding and subtracting |R.2 page 19 |Arithmetic Section |

|fractions |Exercises 93-107 odd |Converting Fractions to |

|Multiplying Fractions |R.3 page 28 |Decimals |

|Dividing Fractions |Exercises 49-79 odd |Greatest Common Divisor |

|Geometry 1 |R.4 pages 38 & 39 |Least Common Multiple |

|Solid Geometry |Exercises 13 – 39 odd |Equivalent Fractions |

| | |Mixed Numbers and Improper |

| | |Fractions |

| | |Percent and Decimals |

| | |Developmental Math Section |

| | |The Distributive Property |

| | |through |

| | |Adding Mixed Numbers with |

| | |Unlike Denominators |

| | |Geometry Section |

| | |Area and Perimeter |

| | |Circles: Radius, Diameter, and |

| | |Circumference |

| | |Area of a Circle |

| | |Solid Geometry Volume |

| | |Cylinder Volume and Surface |

| | |Area |

Week 2 August 29 & 31, 2011 Sections 1.1 – 1.6, 2.1

|KA Exercises |Textbook Section |To help with exercises watch |

|Absolute Value |1.1 page 53 |Algebra |

|Adding & Subtracting Negative |Exercises 3-19 odd |Simple Equations |

|Numbers |1.2 pages 63 & 64 |Equations 2 |

|Multiplying & Dividing |Exercises 1-35 odd, 51-71 odd |Algebra I Worked Examples |

|Negative Numbers |1.5 pages 91 & 92 |Absolute Value 1 |

|Order of Operations |Exercises 115-149 odd |Absolute Value and Number |

| |1.6 pages 102 through 105 |Lines |

| |Exercises 3-109 odd |Solving Equations 1 |

| |2.1 pages 124-126 |Solving Equations 2 |

| |Exercises 4-100 | |

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

| |i.e. 5, 9, 13, 17, 21, 25, … |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 – September 7, 2011 Sections 2.2 - 2.4

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

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

| |Exercises 13 -47 odd and |Simple Equations |

| |69-91 odd |Equations 2 |

| |2.3 page 141 |Equations 3 |

| |Exercises 15, 17,23, 37, 43 |Algebra Worked Examples |

| |2.4 pages 149-150 |Solving Equations with the |

| |Exercises 3-8 |Distributive Property 1 |

| | |Solving Equations with the |

| | |Distributive Property 2 |

Week 4 – September 12 & 14, 2011 Sections 3.1 – 3.5

|KA Exercises |Textbook Exercises |At Home Watch |

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

|Linear Equations 2 |Exercises 3, 7, 9, 11, 13, 15, 23 |Plotting (x, y) relationships |

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

|Graphing Points |Exercises 9-69 multiples of 3 |Plane |

|Line Graph Intuition |3.3 pages 238-241 |Graphing using X and Y |

|Line Relationships |Exercises 17-73 odd |Intercepts |

| |3.4 pages 248-251 |Ordered pair solutions of |

| |13-77 (multiples of 4)+1, |Equations |

| |i.e. 13, 17, 21, 25, 29, 33, … |Application problem with |

| |3.5 pages 258-260 |graph |

| |Exercises 11, 13, 17, 23, 25, |Graphical slope of a Line |

| |29,31, 33, 35, 37, 39, 53, 55 |Slope of a Line 2 |

| | |Slope of a Line 3 |

| | |Slope of Perpendicular Line |

| | |Algebra |

| | |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 – September 19 & 21, 2011 Sections 3.7 & 4.1, exam 9/21

|KA Exercises |Textbook Exercises |At Home Watch |

|Solving for the y- |3.7 pages 276-277 |Algebra |

|intercept |5-33 odd |Introduction to functions |

|Equation of a line |4.1 pages 302-305 |Algebra |

|Line Relationships |3-9 odd, 11-14, 27, 29, 37, 41 |Graphing Systems of |

| | |Equations |

| | |Testing a solution for a |

| | |system of equations |

| | |Consistent and Inconsistent |

| | |Systems |

| | |Independent and Dependent |

| | |Systems |

| | |The Substitution Method |

| | |Substitution Method 2 |

| | |Substitution Method 3 |

Week 6 – September 26 & 28, 2011 Section 4.3, 5.1, 5.2, & 5.5

|KA Exercises |Textbook Exercises |At Home Watch |

|Functions 1 |4.2 page 315 |Developmental Math Section |

|Systems of Equations |33-45 odd |Terms coefficients and |

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

| |11-21 odd, 33, 35 |Evaluating a polynomial at a |

| |5.1 pages 367-369 |given value |

| |3-108 multiples of 3 |Evaluating an expression with |

| |5.2 pages 373-373 |multiple variables |

| |3-72 multiples if 3 |Simply a polynomial |

| |5.5 pages 395-397 |Simplifying an expression with |

| |3-61 odd |multiple variables |

| | |Adding Polynomials |

| | |Adding polynomials with |

| | |multiple variables |

| | |Opposite of a Polynomial |

| | |Subtracting Polynomials |

| | |Developmental Math 2 Section |

| | |Addition Elimination Method 1 |

| | |Addition Elimination Method 3 |

| | |Addition Elimination Method 4 |

| | |Pre-Algebra Section |

| | |Negative Exponent Intuition |

| | |Exponent Rules parts 1 and 2 |

| | |Algebra Worked Examples |

| | |Simplifying Expressions with |

| | |Exponents 1, 2, and 3 |

Week 7 – October 3 & 5, 2011 Section 5.6

|KA Exercises |Textbook Exercises |At Home Watch |

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

| |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 Section |

| | |Level 1 Multiplying Expressions |

Week 8 – October 10 & 12, 2011 Sections 6.1 and 6.2, exam 10/12

|KA Exercises |Textbook Exercises |At Home Watch |

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

| |3-45 odd, 53, 55, 57 |Monomial Greatest Common |

| |6.2 page 441 |Factor |

| |7-19 odd |Factor polynomials using the |

| | |GCF |

| | |Factor expressions by grouping |

| | |Factoring trinomials with a |

| | |leading 1 coefficient |

| | |Factoring trinomials with a |

| | |common factor |

Week 9 – October 17 & 19, 2011 Sections 6.3 and 6.4

|KA Exercises |Textbook Exercises |At Home Watch |

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

| |Exercises 13-41 odd |Factoring trinomials with a |

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

| |Exercises 3-29 odd |Factoring perfect square |

| | |trinomials |

| | |Factoring difference of squares |

| | |Factoring Sum of Cubes |

| | |Factoring the Difference of |

| | |Cubes |

Week 10– October 24 & 26, 2011 Sections 6.5 and 6.6

|KA Exercises |Textbook Exercises |At Home Watch |

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

| |Exercises 11-35 odd, 47- 61 odd |Solving factored equations |

| |6.6 page 469 |Solving quadratics by factoring |

| |Exercises 11-29 odd, 31-45 odd |Applications Problem Factoring |

| | |Quadratics |

| | |Algebra Section |

| | |Solving a quadratic by factoring |

Week 11– October 31 & November 2, 2011 Section 6.7

|KA Exercises |Textbook Exercises |At Home Watch |

|Solving quadratics by |6.7 pages 477-478 |Review your choice of previously |

|factoring |Exercises 9-39 odd |watched videos |

Week 12 – November 7 & 9, 2011 8.1 and 8.2

|KA Exercises |Textbook Exercises |At Home Watch |

| |8.1 pages 589-591 |Pre-Algebra |

| |Exercises 3 – 81 mult. 3 |Simplifying Radicals |

| | | |

| |8.2 pages 599-601 | |

| |Exercises 3 – 108 mult of 3 | |

| | | |

Week 13 – November 14 & 16, 2011 Section 9.3

|KA Exercises |Textbook Exercises |At Home Watch |

|Quadratic Equation |93 pages 667-668 |Algebra Section |

| |Exercise 9-29 odd |Introduction to the Quadratic |

| | |Equation |

| | |Quadratic Equation part 2 |

Week 14 – November 28 & 30, 2011 Section 9.4

|KA Exercises |Textbook Exercises |At Home Watch |

| |9.4 pages 678 - 681 | |

| |Exercise 1 – 41 odd | |

Week 15 – December 5 & 7, 2011 Course Review & Final 12/7

|KA Exercises |Textbook Exercises |At Home Watch |

| |Chapters 1-9 Cumulative Review | |

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