# MATH 101 INTERMEDIATE ALGEBRA

## 3. COURSE DESCRIPTION

Intermediate Algebra is a one-semester course. Topics include graphing,
equations and inequalities in

two variables, rational exponents and roots, quadratic equations , systems of
linear equations, relations

and functions, and exponential and logarithmic functions.

## 4. GOALS AND OBJECTIVES

**A. General**

Upon successful completion of this course, the student will be able:

To read the math textbook

To perform the mathematical objectives stated in each lesson

To work cooperatively in small groups

To be attentive and follow directions

To give clear and logical explanations

**B. Content**

Content objectives are listed in this syllabus after the assignment sheet

**C. Learning Outcomes**

Learning outcomes listed in this syllabus after the assignment sheet and content
objectives.

## 5. GRADING SCALE

Percent | Grade | Percent | Grade |

92-100 | A | 78-79 | C+ |

90-91 | A- | 72-77 | C |

88-89 | B+ | 70-71 | C- |

82-87 | B | 60-69 | D |

80-81 | B- | 0-59 | F |

## 6. GRADING CRITERIA AND REQUIREMENTS

Class Participation: (15%) Students must take advantage of opportunities to
share problem solutions at

the board, correct any test mistakes, possibly do computer labs, journals, and
visit the LRC tutoring

center. Classroom participation is mandatory. Attendance will be factored into
your grade here.

Homework: (15%) At the **beginning** of each class period you will turn in
your homework. To earn full

credit, you must write down the problem, show any necessary work, arrive at the
correct solution, and

circle or highlight your solution please. Indicate your name, homework number
and Math 101- 1 in the

top right hand margin of your homework paper(s).

Quizzes: (10%) Quizzes may or may not be announced but will only cover the
most recent material.

Always be prepared! Some quiz scores may be dropped at semester’s end.

Tests: (40%) Think of our 7 chapter tests as opportunities to excel. Please
complete the tests in pencil,

and of course, you must show all scrap work neatly numbered. Your lowest test
score will be dropped if

you miss three (3) or fewer classes.

Exam: (20%) The final examination will be taken on Tuesday, December 16 from
10:15 - 12:15.

PLAN AHEAD: Do NOT ask to take the exam at any other time because of travel
commitments.

## 7. MAKE UP POLICY

Homework will be handed in daily. Late homework (even due to absence) may be
given reduced credit

and will not be accepted for full credit after the assignments have been
returned to the class. Random

homework problems will be checked daily. Credit will be granted only if you show
your work and it is

correct. Quizzes may be planned or unannounced. Missed quizzes and tests may **
NOT** be made up.

## 8. ATTENDANCE POLICY/ WITHDRAWAL POLICY

Punctual class attendance is required and will be factored into your class
participation grade. 100 %

attendance is expected. Try not to miss any class. Your attendance grade will
drop by 10% for each

absence. Three tardies count as an absence. Perfect attendance will be rewarded
by dropping a second

low quiz score at the end of the semester. September 1 is the last day to drop a
class. October 31 is the

last day to withdraw from a class with a grade of W. December 11 is the last day
for class withdrawal with

a WP or WF.

## 9. OTHER INFORMATION

•** Reminder:**

**In order to be successful**, you need to be a participant, not a spectator.
YOU are responsible for your

own education. I will facilitate, encourage, counsel, guide, and support your
learning. Merely being

present expecting someone to feed you information does not mean you are
learning. People become

educated because of the work they themselves do. You must be actively engaged.
In our class,

checking the answers in the back of the book is essential. You are expected to
preview the section that

will be covered in class the following day. As you read the text, work the
margin problems as directed.

**• Special Needs/ Learning Disabilities:**

You are encouraged to make known to us any problems that may make it difficult
for you to learn math.

We will do our best to work with you to help you succeed. Any special
accommodations must be

requested in advance, and only after appropriate paperwork has been received by
me from Brother Chris

Dreyer, Director of Student Counseling Services. For more info, consult your
Student Handbook.

**• Good Advice:**

If you are ever discouraged or have concerns or questions, do not hesitate to
talk with me. Please call or

make an appointment, or just drop by during office hours, or visit me at the
Learning Resource Center

during my scheduled hours.

**• Tutoring:**

You are encouraged to make use of the Learning Resource Center. Hours are posted
on the

bulletin board in the Max and on the internet. ( **www.hcc-nd.edu/tutoring **
) Peer tutors, adult

tutors, and teachers are available to help you FREE OF CHARGE. If your grades
falter, you may

be **required** to visit the tutoring center as part of your class
participation grade. Videotapes of all

lectures are also available at the library for viewing in the LRC or your dorm.
A CD is included

with your text that has a video lesson for each section from the text, as well
as practice problems.

You have 24/7 web access to text-specific tutorials, and live, one-on-one help
from a qualified

instructor on the web during specific hours.

**• Academic honesty policy/classroom conduct policy/student athlete
policies:**

The student should consult the student handbook if he has questions about
appropriate

classroom conduct or attire, students’ rights, academic honesty policy, or
student athlete policies.

Cell phones should not be used or in sight during class times. Student athletes
are responsible

for any missed work

**• Important Dates:**

September 1 | is the last day to add/drop a class |

October 18 -26 | is fall break |

October 31 | is the last day for class withdrawal with W |

November 26-30 | is Thanksgiving break |

December 11 | is last day for class withdrawal with WP or WF |

December 12,13, 15, 16 | are final exams |

December 16 | Tuesday, 10:15 to 12:15 is your math final exam |

PLAN AHEAD: Do** NOT **ask to take the exam at any other time because of
travel commitments.

## 10. ASSIGNMENT SCHEDULE

Date | Classroom / Lesson | Assignment Due | ||

Mon | 8/25 | Introduction | None | |

Wed | 8/27 | 3.1 Rectangular Coordinate Graphing | HW # 1 | p. 150: 1-20 all |

Fri | 8/29 | 3.2 Slope | HW # 2 | 3.1: 1 – 29 odd (note: answers in back of book) |

Mon | 9/1 | 3.3 Equation of a Line | HW # 3 | 3.2: 1 - 34, every 3^{rd} problem |

Wed | 9/3 | 3.4 Linear Inequalities in Two Variables | HW # 4 | 3.2: 14, 26, 28, 30, 32 |

3.3: 1 – 43, every 3^{rd} problem |
||||

Fri | 9/5 | Review | HW # 5 | 3.3: 20, 24, 26, 30, 32, 36, 38, 42, 44 |

3.4: 1 – 28, every 3^{rd} problem |
||||

Mon | 9/8 | TEST # 1: 3.1-3.4 | HW # 6 | 3.4: 12, 20, 24, 26 |

Ch T: 1-22 all | ||||

Wed | 9/10 | 7.1 Rational Exponents | HW # 7: | p. 490: 1-20 all |

p. 502: 80-96 even | ||||

p. 510: 74-92 even | ||||

Fri | 9/12 | 7.2 More Rational Exponents | HW # 8 | 7.1: 1, 7, 13, 19, 25, 31, 37, 43, 49, 55 |

61, 67, 71 | ||||

Mon | 9/15 | 7.3 Simplifying Radical Expressions | HW # 9 | 7.1: 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 72 |

7.2: 1 – 70, every 3^{rd} , omit 49 |
||||

Wed | 9/17 | Review | HW # 10 | 7.2: 20, 24, 28, 42, 44, 56, 60, 62, 66, 68 |

7.3: 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70 | ||||

Fri | 9/19 | TEST # 2: 7.1 – 7.3 |
HW # 11 | 7.3: 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67 |

Ch T: 1-25 all | ||||

Mon | 9/22 | 7.4 Addition/Subtraction of Radical Expressions |
HW # 12 | p. 521: 92 – 102 even p. 528: 50 – 64 even |

p. 536: 76 – 90 even | ||||

p. 548: 70-92 even | ||||

Wed | 9/24 | 7.5 Mult/Div of Radical Expressions | HW # 13 | 7.4: 1-34, every 3^{rd} problem |

Fri | 9/26 | 7.6 Equations with Radicals | HW # 14 | 7.4: 2, 8, 14, 20, 24, 30, 32, 36, 38 |

7.5: 1 – 58, every 3^{rd} problem |
||||

Mon | 9/29 | 7.7 Complex Numbers | HW # 15 | 7.5: 30, 32, 36, 42, 48, 54, 60 |

7.6: 1 – 40, every 3^{rd} problem |
||||

Wed | 10/1 | Review | HW # 16 | 7.6: 18, 20, 26, 30, 38, 41 - 47 odd |

7.7: 1 – 76 every 3^{rd}, omit 16, 19, 22, 52 |
||||

Fri | 10/3 | TEST # 3: 7.4 – 7.7 |
HW # 17 | 7.5: 59 |

7.6: 32 | ||||

7.7: 8, 12, 14, 38, 48, 64, 68, 78 | ||||

Ch T: 26-54 omit 45,46,41,42 | ||||

Mon | 10/6 | 8.1 Completing the Square | HW # 18 | p. 566: 1-20 all omit 18 |

p. 589: 58-66 even | ||||

p. 599: 42-46 all | ||||

Wed | 10/8 | 8.2 The Quadratic Formula | HW # 19 | 8.1: 1 – 44, every 3^{rd} problem |

Fri | 10/10 | 8.3 More Solving Quadratic Equations | HW # 20 | 8.1: 8, 12, 14, 18, 24, 26, 32, 38, 40 42 |

8.2: 1 – 46, every 3^{rd} problem, odds
opt. |
||||

Mon | 10/13 | Review | HW # 21 | 8.2: 14, 36, 38, 42, 48 |

8.3: 1 - 40, every 3^{rd} problem |
||||

Wed | 10/15 | TEST # 4: 8.1 – 8.3 |
HW # 22 | 8.3: 8, 12, 14, 18, 21, 33 |

p. 637: 2-42 even | ||||

Fri | 10/17 | 8.5 Graphing Parabolas | None | |

Enjoy |
Your |
Fall Break!!! |
||

Mon | 10/27 | 8.6 Quadratic Inequalities | HW # 23 | 8.5: 1 – 28, every 3^{rd} problem |

Wed | 10/29 | 4.1 Systems of Linear Equations in 2 | HW # 24 | 8.6: 1 – 25, every 3^{rd} problem |

Variables | ||||

Fri | 10/31 | 4.2 Systems of Linear Equations in 3 | HW # 25 | 8.5: 20 |

Variables | 8.6: 2, 8, 12, 17, 18, 21, 23, 24 | |||

4.1: 4, 12, 15, 18, 24, 30, 33, 38, 39, 44, 48 | ||||

Mon | 11/3 | Review | HW # 26 | 4.2: 1 - 22, every 3^{rd} problem |

Wed | 11/5 | TEST # 5: 8.5, 8.6, 4.1 & 4.2 |
HW # 27 | p. 638: 53-58 all |

p. 319: 2-26 even | ||||

Fri | 11/7 | 3.5 Introduction to Functions | HW # 28 | p. 201: 33-36 all |

p. 215 37-46 all | ||||

p. 642: 1-20 all | ||||

Mon | 11/10 | 3.6 Function Notations | HW # 29 | 3.5: 1 – 28, every 3^{rd} problem |

Wed | 11/12 | 9.1 Exponential Functions | HW # 30 | 3.6: 1 – 46, every 3^{rd} problem |

Supplement Handout on 3.6 | ||||

Fri | 11/14 | Review 3.5, 3.6 & 9.1 | HW # 31 | Handout |

9.1: 1 – 15 odd | ||||

Mon | 11/17 | Test # 6: 3.5, 3.6 & 9.1 | HW # 32 | p. 709: 1-8 all |

p.245: 23-30 all and handout | ||||

Wed | 11/19 | 9.2 The Inverse of a Function | HW # 33 | p. 665: 37-50 all |

p. 675: 67-72 all | ||||

Fri | 11/21 | 9.3 Logarithms are Exponents | HW # 34 | 9.2: 1-28 every 3^{rd}, also 11, 27 |

Mon | 11/24 | 9.4 Properties of Logarithms | HW # 35 | 9.3: 1 – 58 every 3^{rd} problem, also
38 |

Thanksgiving Break Already! |
||||

Mon | 12/1 | 9.6 Exponential Equations | HW # 36 | 9.3: 8, 18, 26, 30, 32, 36, 40, 50, 56, 57 |

9.4: 1 - 46, every 3^{rd} problem |
||||

Wed | 12/3 | Review | HW # 37 | 9.6: 1 – 19, every 3^{rd} problem |

9.4: 41, 42, 45, 47 | ||||

Fri | 12/5 | TEST # 7: 9.2 - 9.6 |
HW # 38 | 9.6: 3, 5, 9, 11, 15, 17 |

p. 709: 9,10,14-44 even, 57, 58 | ||||

Mon | 12/8 | Exam Review with Quiz | HW # 39-40 | Review Sheet |

Wed | 12/10 | Wrap Up (drop low scores) | ||

Tues | 12/16 | FINAL EXAMINATION* |
10:15 a.m. - 12:15 p.m. | |

*Ask | About | additional optional exam review! |

**PLAN AHEAD:** Do** NOT** ask to take the exam at
any other time because of travel commitments.

## 4. GOALS AND OBJECTIVES

B. Content

Upon successful completion of the Math 101 class, the student should be able to:

• Graph ordered pairs on a rectangular coordinate system

• Graph linear equations by finding intercepts or by making a table

• Graph horizontal and vertical lines

• Find the slope of a line from its graph

• Find the slope of a line given two points on the line

• Find the equation of a line given its slope and y-intercept

• Find the slope and y-intercept from the equation of a line

• Find the equation of a line given the slope and a point on the line

• Find the equation of a line given two points on the line

• Graph linear inequalities in two variables

• Construct a table or graph from a function rule

• Identify the domain and range of a function or relation

• See the difference between a relation and a function

• Use function notation to find the value of a function for a given value
of the variable

• Simplify radical expressions using the definition for roots

• Simplify expressions with rational exponents

• Multiply expressions with rational exponents

• Divide expressions with rational exponents

• Factor expressions with rational exponents

• Add and subtract expressions with rational exponents

• Write radical expressions in simplified form

• Rationalize a denominator that contains only one term

• Add and subtract radicals

• Multiply expressions containing radicals

• Rationalize a denominator containing two terms

• Solve equations containing radicals by raising both sides to the
appropriate power

• Graph simple square root and cube root equations in two variables

• Simplify square roots of negative numbers

• Simplify powers of i

• Solve for unknown variables by equating real parts and equating
imaginary parts of two complex numbers

• Add and subtract complex numbers

• Multiply complex numbers

• Divide complex numbers

• Solve quadratic equations by taking the square root of both sides

• Solve quadratic equations by completing the square

• Use quadratic equations to solve for missing parts of right triangles

• Solve quadratic equations by the quadratic formula

• Find the number and kind of solutions to a quadratic equation by using
the discriminant

• Find an unknown constant in a quadratic equation so that there is
exactly one solution

• Find an equation from its solutions

• Graph a parabola

• Solve quadratic inequalities and graph the solution set

• Solve systems of linear equations in two variables by graphing

• Solve systems of linear equations in two variables by the addition
method

• Solve systems of linear equations in two variables by the substitution
method

• Solve systems of linear equations in three variables

• Find function values for exponential functions

• Graph exponential functions

• Find the equation of the inverse of a function

• Sketch a graph of a function and its inverse

• Use the definition of logarithms to convert between logarithmic form and
exponential form

• Use the definition of logarithms to solve simple logarithmic equations

• Sketch the graph of a logarithmic function

• Simplify expressions involving logarithms

• Use the properties of logarithms to convert between expanded form and
single logarithms

• Use the properties of logarithms to solve equations that contain
logarithms

• Solve exponential equations

## 4. GOALS AND OBJECTIVES (cont.)

**C. Learning Outcomes***

At Holy Cross College, we have identified a number of Core Competencies which we
hope that all

of our students will exhibit by the time they graduate. The five core
competencies are:

Critical and Creative Thinking

Written and Oral Communication

Personal, Moral, and Social and Cultural Development

Technology and Information Management

Quantitative Reasoning

In our Intermediate Algebra class, the successful student
will achieve the following specific

learning outcomes. The student will be able to:

• Read critically

• Ask relevant, detailed, and probing questions

• Solicit feedback, evaluate, and revise creative products

• Understand and employ the basics of grammar, syntax, and usage

• Listen to and give effective feedback to speakers

• Prepare and deliver well-organized and coherent oral presentations, with
a clear main point and supporting details

• Defend a point of view with clear, logical, convincing arguments

• Respect self and others and apply the basic principles of effective
social interaction

• Know, accept, and fulfill mature responsibilities, and stand accountable
for their decisions and actions

• Demonstrate operational abilities in information and communication
technologies

• Demonstrate higher-order thinking skills, such as reasoning from
evidence

• Use mathematical principles and skills to help recognize, evaluate, and
solve problems in everyday life

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