MIAMI-DADE COMMUNITY COLLEGE
MAT 0020 – 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 and taught in an orderly integrated sequence.
5 Credits (8 contact hours lecture/lab)
Prerequisites: Appropriate placement test scores.
Course Competencies:
Competency 1:
The Student will demonstrate knowledge of place value by:
a. Identifying place value.
b. Writing numbers using word notation, standard notation, and expanded
notation.
c. Rounding whole numbers.
Competency 2:
The Student will demonstrate knowledge of whole numbers by:
a. Performing operations of addition, subtraction, multiplication,
and division on whole numbers.
b. Solving applications involving operations of whole numbers.
Competency 3:
The Student will demonstrate knowledge of fractions by:
a. Performing operations of addition, subtraction, multiplication,
and division on fractions.
b. Distinguishing between proper fractions, improper fractions,
and mixed numbers.
c. Performing operations of addition, subtraction, multiplication
and division on mixed numbers.
d. Solving applications involving operations of fractions.
Competency 4:
The Student will demonstrate knowledge of decimals by:
a. Performing operations of addition, subtraction, multiplication,
and division on decimals.
b. Rounding decimals.
c. Solving applications involving operations of decimals.
Competency 5:
The Student will demonstrate knowledge of percents by:
a. Using percent notation, fractional notation, and decimal
notation interchangeably.
b. Solving applications involving percents.
Competency 6:
The Student will demonstrate knowledge of signed numbers by:
a. Performing operations of addition, subtraction, multiplication,
and division on signed numbers.
b. Applying the order of operations rule.
c.
Comparing signed numbers using < , > ,  ,  ,  , or =.
d. Determining the absolute values of signed numbers.
e. Adding and subtracting absolute values.
The mission of Miami-Dade Community College is to provide accessible, affordable, high quality education by keeping the learner’s
needs at the center of decision making and working in partnership with its dynamic, multi-cultural community.
Competency 7:
The Student will demonstrate knowledge of equations by:
a. Solving linear equations in one variable.
b. Solving linear equations involving fractions and decimals.
c. Solving literal equations.
d. Solving applications involving linear equations in one variable (including
number problems, geometry problems, and proportion problems.)
Competency 8:
The Student will demonstrate knowledge of linear inequalities by:
a. Solving linear inequalities in one variable.
b. Graphing solutions of linear inequalities on a number line.
Competency 9:
The student will demonstrate knowledge of algebraic expression by:
a. Evaluating expressions.
b. Identifying and combining like terms.
c. Simplifying expressions.
Competency 10:
The Student will demonstrate knowledge of polynomials by:
a. Performing operations of addition, subtraction, multiplication,
and division on polynomials.
b. Applying the rules of exponents to perform operations on
polynomials.
c. Converting numbers to scientific notation and changing from
scientific notation to decimal form.
Competency 11:
The Student will demonstrate knowledge of factoring by:
a. Factoring out the greatest common factor.
b. Factoring by grouping.
c. Factoring trinomials.
d. Factoring the difference of two squares.
e. Solving quadratic equations by factoring.
Competency 12:
The Student will demonstrate knowledge of linear equations in two variables by:
a. Graphing linear equations in two variables.
b. Determining the slope and intercept(s) of linear equations.
Competency 13:
The Student will demonstrate knowledge of rational expressions by:
a. Simplifying a rational expression by factoring.
Competency 14:
The Student will demonstrate knowledge of radical expressions by:
a. Simplifying radical expressions using the product rule.
b. Adding, subtracting, and multiplying radicals.
The mission of Miami-Dade Community College is to provide accessible, affordable, high quality education by keeping the learner’s
needs at the center of decision making and working in partnership with its dynamic, multi-cultural community.