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Course Design for Elementary Algebra

Prerequisites

MAT 055 with a grade of "C" or higher or placement test score as established by District policy

Educational Value

This course is designed for first time algebra students , or anyone who needs a refresher algebra course
in prepa ration for Intermediate Algebra.

Description

An introduction to Algebra via linear expressions , equations and inequalities. Topics covered include real
numbers, expressions, equations and inequalities with one and two variables , exponents, and
polynomials.

Textbooks

Elementary and Intermediate Algebra, Concepts and Applications, A Combined Approach. Bittinger,
Ellenbogen, Johnson. Edition: 5th. ISBN-13: 9780321559449. Publisher: Addison Wesley. Required

Supplies

Scientific calculator; TI-83 or TI-84 recommended.

Competencies and Performance Standards

1. Perform basic operations with real numbers
Learning objectives

What you will learn as you master the competency:
a. Apply the order of operations
b. Add integers, rational numbers, and decimals
c. Subtract integers, rational numbers, and decimals
d. Multiply integers, rational numbers, and decimals
e. Divide integers, rational numbers, and decimals
f. Evaluate algebraic expressions
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exams
o On a two hour cumulative final exam
Your performance will be successful when:
o You can demonstrate the ability to use the order of operations
o You can demonstrate the ability to use the basic operations with integers, rational
numbers, and decimal numbers
o You can demonstrate the ability to evaluate an algebraic expression

2. Solve linear equations and inequalities
Learning objectives

What you will learn as you master the competency:
a. Use the addition property to solve equations.
b. Use the multiplication property to solve equations.
c. Solve equations that require two or more steps.
d. Solve problems using formulas.
e. Solve linear inequalities
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exams
o On a two hour cumulative final exam
Your performance will be successful when:
o You can demonstrate the ability to solve equations and inequalities in one variable

3. Use a rectangular coordinate system to graph points , lines, and inequalities
Learning objectives

What you will learn as you master the competency:
a. Identify the parts of a rectangular coordinate system.
b. Sketch the graph of a relation from a table of ordered pairs.
c. Solve for x and y- intercepts given a linear equation in two variables.
d. Sketch the graph of a linear equation using the intercepts.
e. Calculate slope given two points, a graph, or an equation.
f. Use the slope-intercept form of a line.
g. Use the point-slope form of a line.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exams
o On a two hour cumulative final exam
Your performance will be successful when:
o You can find and plot points on a rectangular system
o You can graph linear equations by plotting points, intercepts, or slope-intercept.
o You can find and intercept slopes

4. Simplify polynomial expressions
Learning objectives

What you will learn as you master the competency:
a. Identify expressions that are polynomials
b. Add polynomials.
c. Subtract polynomials.
d. Multiply polynomials.
e. Divide polynomials by monomial or binomial .
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exams
o On a two hour cumulative final exam.
Your performance will be successful when:
o You can demonstrate the ability to add, subtract, multiply and divide polynomials

5. Factor polynomial expressions
Learning objectives

What you will learn as you master the competency:
a. Factor out the Greatest Common Factor (GCF)
b. Factor by grouping .
c. Factor the difference of two squares.
d. Factor trinomials.
e. Use a general strategy for factoring polynomials.
f. Use factoring to solve equations.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exams
o On a two hour cumulative final exam
Your performance will be successful when:
o You can demonstrate the ability to factor the GCF
o You can demonstrate the ability to factor by grouping
o You can demonstrate the ability to factor trinomials with a lead coefficient of 1
o You can demonstrate the ability to factor trinomials with a lead coefficient other than 1
o You can demonstrate the ability to solve equations by factoring

Types of Instruction
Classroom Presentation

Grading Information
Grading Rationale

Each instructor has the flexibility to develop evaluative procedures within the following parameters.
1. Written exams must represent at least 60% of the final course grade
2. Final exam must represent at least 20 % of the final course grade.
3. The Post Test is to be embedded in the final exam and must represent at least 10% of the final course
grade.
4. Other activities may represent at most 10 % of the final course grade.

Grading Scale
A 90%-100%
B 80%-89%
C 70%-79%
D 60%-69%
F Below 60%

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