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Essential Objectives

Web Schedule Fall 2019


Revision Date: 25-Nov-19

MAT-0221-VJ01Y - Foundations of Algebra


Synonym: 189713
Location: Upper Valley
Credits: 3 (45 hours)
Day/Times: Tuesday & Thursday, 12:00P - 02:45P
Semester Dates: 10-24-2019 to 12-12-2019
Last day to drop without a grade: 11-02-2019 - Refund Policy
Last day to withdraw (W grade): 11-22-2019 - Refund Policy
Faculty: Mark Farley | View Faculty Credentials
This course has started, please contact the offering academic center about registration

Course Description:

This beginning course in algebra provides a foundation for further study of mathematics as well as for course work in many technical and scientific fields. Topics include algebraic laws, polynomials, exponents, linear equations, and factoring. Basic math skills are recommended. Credits earned in this course to not apply toward graduation.

Essential Objectives:

1. Perform operations of addition, subtraction, multiplication and division of rational numbers.
2. Perform operations of addition, subtraction, and multiplication of polynomials.
3. Evaluate algebraic expressions by substitution.
4. Explain and apply the commutative, associative and distributive laws.
5. Apply properties of exponents.
6. Solve linear equations and apply to the solution of word problems.
7. Graph linear equations and identify slope and intercepts.
8. Solve systems of linear equations both graphically and algebraically.
9. Factor non-prime trinomials, factor binomials that are the difference of squares, and remove common factors from polynomials.
10. Simplify radicals and use that skill to solve problems involving the Pythagorean theorem.
11. Apply these concepts and skills in solving problems that occur in various fields of study.
12. Use a scientific calculator to verify the numerical solutions of application problems.

Additional Instructor Pre-Assignments/Notes/Comments:

I expect you to arrive on the first day comfortable with all aspects of math foundations. This includes whole numbers, FRACTIONS, decimals, proportions, percentages, geometry, and signed numbers (positive and negative numbers).

This is an accelerated course. We will complete the course material in only 7 ½ weeks. The course is also cumulative, i.e., later chapters depend on your mastery of the early work.

There is no magic shortcut to math success. Being successful requires that you DO math, repeatedly! It involves memorization and repetition at all levels. You will be successful if you are dedicated to practicing concepts by doing many problems. Math is also about attitude. If you believe in yourself and work hard, you will succeed!

If you need individual help outside of the classroom, I am available (by prior arrangement) or you can seek assistance from online tutors. We will frown upon such comments as: “I don’t get it,” or “I’m not good at math!” You may use a calculator to check your work outside of class, but doing your work with a calculator will not help you learn.

Your will progress much faster in this course if you know your multiplication tables well when you arrive for the first day of class. No calculators or multiplication charts will be allowed. Ideally, you should have instant recall of all of your tables, including the 11s and 12s. Understanding fractions completely is critical to success in algebra. Please take some time before we begin class to master all procedures associated with fractions.

Your textbook is free, and free implies no frills.

Most of your homework, in-class quizzes, and take-home tests will be original material that I have authored. Expect it to be more challenging. I have designed it to assess your knowledge of the basics. The problems are typically multi-step procedures that draw on your mastery of basic concepts.

Methods:

Our class will involve traditional lecture, but you will also be expected to participate often in class.

There will be daily quizzes on the material we discussed during the previous class.

Each Thursday you will be given a take-home test that will be due the following Tuesday at the beginning of class. You may receive help from anyone, including me, but please do the work primarily by yourself. You may submit your test to me via email, and I will "grade" it and return it to you, with suggestions on how to correct missed questions if required.

Evaluation Criteria:

This is not a credit course, so you will be graded on a Pass/No Pass basis. Passing is 70%. Your overall average will always be available on Canvas.

I expect you to attend class, and attendance will count as 20% of your grade. That' a gimme 20% just for showing up! If you miss class routinely, you will probably not successfully achieve the course objectives. Please arrive on time and plan to stay for the entire class.

Finally, I will be giving you frequent feedback, but if you are uncertain about your progress in the course, please ask!

A minimum of 70% is required to earn a passing grade in our course. Course elements will count as follows:

Homework (take home tests): 60%

Attendance: 20%

Quizzes: 20% These are the daily quizzes given at the beginning of each class.

Grading Criteria:

You must earn 70% on the course elements to receive a Pass in the course.

Textbooks:

Fall 2019 textbook data will be available on May 13. On that date a link will be available below that will take you to eCampus, CCV's bookstore. The information provided there will be for this course only. Please see this page for more information regarding the purchase of textbooks.

The last day to use a Financial Aid advance to purchase textbooks is the 3rd Tuesday of the semester. See your financial aid counselor at your academic center if you have any questions.

Contact Faculty:

Email: Mark Farley
Hiring Coordinator for this course: Debra Grant

  Home Phone: 802-485-7213

Attendance Policy:

Owing to the nature of this course, you should be present for all class meetings. However, if you cannot attend class for routine reasons, please notify me as soon as you know you will be absent. I prefer email notification (mcfarleyvt@gmail.com). If you cannot notify me in advance, please call me (802-485-7213) during the week to discuss your absence and arrange to make up missed work.

Syllabus:


Syllabus - MAT-0221, Foundations of Algebra

CCV Upper Valley, Fall, 24 Oct - 12 Dec 2019

Thurs, 24 Oct - Chapter 1- Multiplication quiz, course description review, math foundations (especially fractions) review, Should I know this? Real numbers, algebra basics (terms), addition/multiplication properties of equality

Tuesday, 29 Oct - Chapter 2 - Addition/multiplication properties of equality, solving single variable equations and inequalities with integers/fractions/decimals, solve a formula for a given variable

Thursday, 31 Oct - Chapter 3 - Math models / life problems - Problem solving strategies, percent/mixture/geometry applications, uniform motion applications

Tuesday, 5 Nov - Chapter 4 - Graphs and calculators - Intro to rectangular (Cartesian) coordinate system, graphing linear equations in two variables, slope/intercept form (y = mx + b), given a graph, find the equation of a line, calculators

Thursday, 7 Nov - Chapter 5 - Systems of linear equations - Solve systems of linear equations by graphing, substitution, elimination (addition), systems of linear equations applications, especially mixtures

Tuesday, 12 Nov - Chapter 6 - Polynomials/Rules of Exponents (ROE) - ROE, add/subtract/multiply polynomials, dividing monomials/polynomials

Thursday, 14 Nov - Chapter 6 - Polynomials/Rules of Exponents (ROE) - Special products (Difference Of Two Squares [DOTS], Perfect Square Trinomials [PST]), scientific notation

Tuesday, 19 Nov - Chapter 7 - Factoring - Greatest Common Factor (GCF), factoring by grouping, factoring trinomials with leading coefficients of 1, and leading coefficients other than 1, factoring special products (DOTS/PST), general factoring strategy

Thursday, 21 Nov - Chapter 7 - Factoring - Factoring 2.0

Tuesday, 26 Nov - Chapter 8 - Rational expressions and equations - Simplifying/multiplying/dividing rational expressions, including complex rational expressions

Thanksgiving, 28 Nov - NO CLASS! Bummer!

Tuesday, 3 Dec - Chapter 8 - Rational expressions and equations - Solving rational equations, including life problems

Thursday, 5 Dec - Chapter 9 - Roots and radicals - Square roots, simplifying/adding/subtracting/multiplying/dividing square roots. Solving equations with square roots, rational (fractional) exponents

Tuesday, 10 Dec - Chapter 10 - Quadratic equations - Intro to quadratic equations, zero factor property, solving quadratic equations by factoring

Thursday, 12 Dec - Review take-home final exam

Please note: In order to receive accommodations for disabilities in this course, students must make an appointment to see the Americans with Disabilities Coordinator in their site and bring documentation with them.

Academic Honesty: CCV has a commitment to honesty and excellence in academic work and expects the same from all students. Academic dishonesty, or cheating, can occur whenever you present -as your own work- something that you did not do. You can also be guilty of cheating if you help someone else cheat. Being unaware of what constitutes academic dishonesty (such as knowing what plagiarism is) does not absolve a student of the responsibility to be honest in his/her academic work. Academic dishonesty is taken very seriously and may lead to dismissal from the College.

Course description details subject to change. Please refer to this document frequently.

To check on space availability, choose Search for Classes.


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