College Preparatory Mathematics

Course Description:
This course combines arithmetic and beginning algebra. All topics taught in College Preparatory
Arithmetic (MAT 0002) and College Preparatory Algebra (MAT 0024) are combined in an orderly,
integrated sequence. Topics include sets, operations on signed numbers , solving linear equations and
inequalities in one variable , operations on polynomials, factoring, integer exponents, radicals,
graphing, and applications of these topics. This course does not satisfy college level mathematics
requirements for graduation.

Competencies:

Competency 1:
The student will demonstrate knowledge of whole numbers by:
1. Performing operations of addition, subtraction, multiplication, and division on whole numbers
2. Applying the order of operations rule
3. Solving applications involving operations of whole numbers

Competency 2:
The student will demonstrate knowledge of fractions by :
1. Performing operations of addition, subtraction, multiplication, and division on fractions
2. Distinguishing between proper fractions, improper fractions, and mixed numbers
3. Performing operations of addition, subtraction, multiplication, and division on mixed numbers
4. Comparing fractions using <, > or =
5. Solving applications involving operations of fractions

Competency 3:
The student will demonstrate knowledge of decimal by:
1. Performing operations of addition, subtraction, multiplication and division on decimals
2. Rounding decimals
3. Solving applications involving operations of decimals

Competency 4:
The student will demonstrate knowledge of percents by:
1. Using percent notation, fractional notation, and decimal notation interchangeably
2. Solving applications involving percents

Competency 5:
The student will demonstrate knowledge of signed number by:
1. Performing operations of addition, subtraction, multiplication, and division on signed numbers
2. Applying the order of operations rule
3. Comparing signed numbers using <, >, ≤, ≥, ≠, or =
4. Determining the absolute values of signed numbers
5. Adding and subtracting absolute values

Competency 6:
The student will demonstrate knowledge of algebraic expressions by:
1. Evaluating expressions
2. Identifying and combining like terms
3. Simplifying expressions

Competency 7:
The student will demonstrate knowledge of equations by:
1. Solving linear equations in one variable
2. Solving linear equations involving fractions and decimals
3. Solving literal equations
4. Solving applications involving linear equations in one variable (including number problems,
geometry problems, and proportions problems)

Competency 8:
The student will demonstrate knowledge of linear inequalities by:
1. Solving linear inequalities in one variable
2. Graphing solutions of linear inequalities on a number line

Competency 9:
The student will demonstrate knowledge of polynomials by:
1. Performing operations of addition, subtraction, multiplication, and division on polynomials
2. Applying the rules of exponents to perform operations on polynomials
3. Converting numbers to scientific notation and changing from scientific notation to decimal form

Competency 10:
The student will demonstrate knowledge of factoring by :
1. Factoring out the greatest common factor
2. Factoring by grouping
3. Factoring trinomials
4. Factoring the difference of two squares
5. Solving quadratic equations by factoring

Competency 11:
The student will demonstrate knowledge of linear equations in two variables by :
1. Graphing linear equations in two variables
2. Determining the intercept(s) of a linear equation

Competency 12:
The student will demonstrate knowledge of rational expressions by simplifying rational expressions by
factoring

Competency 13:
The student will demonstrate knowledge of radical expressions by:
1. Simplifying radical expressions using the product rule
2. Adding, subtracting, and multiplying radicals

Lectures and Lab Sessions:
In your math class, you will receive instruction on the course content. In your math lab sessions, you will receive tutoring to help you with your class assignment.

Examinations:
Six unit exams and a mandatory comprehensive final exam will be given during the semester.
The final exam is an exit exam, this means that you must receive a grade of 60 or higher on this exam in order to pass the class, regardless of your overall average. If the final exam grade is higher than any of the unit exam grades, it may substitute the lowest grade or a missing exam grade (not both).

Grading:

70 – 100 = S (Passing)
60 – 69 = P (Must repeat course; however, GPA is not affected)
0 – 59 = U (Must repeat course; does affect GPA, counts as an “F”)

Make-ups:
No make-ups will be given.

Drops/Withdrawals:
Should be conducted through the office of the registrar.

Attendance:
Students are expected and required to attend and participate in class and lab.

Labs:
Attendance to lab sessions is mandatory.

Cheating:
Cheating will not be tolerated in this course. Any student caught cheating will receive an automatic “U” in the course.

Incompletes:
Incompletes will only be given in the case of a medical emergency if the student has a passing
average.

Suggested Syllabus
1.1, 1.2, 1.3, 1.5, 1.6, 1.7, 1.8 Exam 1
2.1, 2.2, 2.3. 2.4, 2.5, 2.6, 2.7, 2.8, 2.9 Exam 2
3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7 3.8, 4.1, 4.3, 4.5 Exam 3
5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8 Exam 4
6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7 Exam 5
8.1, 8.2, 8.3, 8.4, 8.5, 10.1, 10.2, 10.3, 10.4 Exam 6
Final Exam