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Course Outline of Record for Elementary Algebra

I. COURSE DESCRIPTION

Conditions of Enrollment: Specify Prerequisite, Corequisite, Recommended Preparation,
Enrollment Limitation, or None.

Mathematics 23 or Mathematics 25 with a minimum grade of C in
prerequisite, or qualification by testing (El Camino College Mathematics
Placement Test) and assessment.

Catalog Description :
This course in elementary algebra includes the study of real number
solutions and applications of linear equations , quadratic equations , linear
inequalities, and systems of linear equations. Other topics include
coordinate graphing of linear equations, factoring techniques, and
simplification of rational and radical expressions.

II. COURSE OBJECTIVES

List the major objectives of the course. These must be stated in behaviorally measurable
terms.|

1. Use the specialized vocabulary describing the real number system and its
properties as well as the fundamentals of algebra.

2. Manipulate (evaluate, simplify, or factor) algebraic expressions, including
ex pressions with fractions and radicals.

3. Solve linear equations and inequalities, systems of linear equations, and quadratic
equations.

4. Solve various application problems which feature the mathematics under study
using elementary modeling techniques.

5. Graph linear equations and systems of linear equations on a coordinate plane,
isolating features such as intercepts and slope.

III. OUTLINE OF SUBJECT MATTER

The topics should be detailed enough to enable an instructor to determine the
major areas that should be covered and so that the course may have
consistency from instructor to instructor and semester to semester.

Approximate
Time in Hours
Major Topics
   
24 I. Basic Operations and Manipulations with AlgebraicExpressions

A. Simplify and evaluate algebraic expressions using order of operations.
Use the Distributive Property appropriately.

B. In an algebraic expression, identify constants, variables, terms,
variable terms, the degree of a variable term, and the coefficient of a
variable term. Identify monomials, binomials and trinomials.

C. Perform arithmetic operations on polynomials including long division
and use of integer exponents . Use the Commutative, Associative, and
Distributive Properties appropriately.

D. Factor polynomials (including those with common monomial factors,
the difference of squares and perfect square trinomials .) Factor by
grouping in simple and general trinomials.

E. Perform operations on rational expressions.

F. Perform arithmetic operations on radical expressions .
 

 

22 I I Equations and Inequalities

A. Identify and simplify linear expressions. Solve linear equations and
inquaities.

B. Using the properties of equality, identify equivalent equations, solve
linear equations and inequalities.

C. Solve 2-by-2 linear systems of equations using substitution or linear
combinations (also known as elimination or addition).

D. Solve for a specified variable in an equation containing more than one
variable.

E. Solve quadratic equations using factoring, the square root property ,
completing the square, or the quadratic formula.
 

 

11 III Applications

A. Translate a given English expression or a word problem into a
mathematical expression, equation, or inequality.

B. Set up and solve geometric problems using formulas for perimeter ,
area, volume, and the Pythagorean Theorem.

C. Set up and solve a variety of application problems including those
involving percentage relationships, ratios and proportions . Examples
include work, distance, and mixture problems.

 

 

15 IV. Graphing

A. Graph ordered pairs on a coordinate plane.

B. Graph the solution of a linear inequality in one variable on a number
line.

C. Determine the slope of a line given its graph or given two points on the
line.

D. Graph linear equations in standard, slope-intercept and point slope
form.

E. Write the equation of a line given: a) a point and its slope, b) its slope
and y-intercept, or c) two points on the line.

F. Solve a 2-by-2 linear system of equations by graphing.
 

 

72  TOTAL HOURS
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