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Elementary Algebra with Applications
Course Description
Students taking Elementary Algebra perform basic algebraic operations. They
solve and graph linear equations .
They solve and graph inequalities . Students factor algebraic equations. They
solve radical and rational
equations. Students solve quadratic equations . In each topic area, students
solve application problems.
Target Population
Elementary Algebra is a designed for students needing a first year algebra
course.
Textbooks
Elementary Algebra Concepts and Applications, Bittinger & Ellenbogen, Seventh
Edition.
Addison Wesley
Supplies
Scientific Calculator
Goals
1. Perform basic algebraic operations
2. Solve linear equations and inequalities
3. Solve inequalities
4. Perform operations with algebraic terms
5. Factor equations
6. Solve rational equations
7. Graph linear equations
8. Solve systems of equations
9. Solve radical equations
10. Solve quadratic equations
Core Abilities
O Act Professionally
O Communicate Clearly
O Value Learning
O Work Productively
O Work Cooperatively
O Solve Problems
Course Competencies
1. Perform basic algebraic operations
Properties
Domain : Cognitive
Level : Application
Importance : Essential
Difficulty : Medium
Criteria  Performance will be satisfactory when:
•learner shows the steps used to solve the problem
•answer includes correct units of measure
•answer is within 1 % of actual value
•answer is stated with appropriate precision
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Perform arithmetic operations on signed numbers
b. Perform arithmetic operations on fractions
c. Use order of operations
d. Evaluate numeric expressions involving powers and roots
e. Evaluate algebraic expressions
f. Evaluate formulas
Linked Core Abilities
Solve Problems
2. Solve linear equations and Inequalities
Properties
Domain : Cognitive
Level : Application
Importance : Essential
Difficulty : Medium
Criteria  Performance will be satisfactory when:
learner chooses a valid method for solving a problem
•learner writes an equation representing the problem
•learner manipulates an existing formula to solve for an unknown
•learner draws an accurate diagram representing the problem
•learner shows the steps used to solve the problem
•answer includes correct units of measure
•answer is within 1 % of actual value
•answer is stated with appropriate precision
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Combine like terms
b. Multiply algebraic expressions
c. Solve linear equations with one variable
d. Rearrange a formula to solve for an indicated firstdegree variable
e. Translate English phrases into equations using variables to represent
unknowns
f. Apply skill to technical problems
g. Graph inequalities
h. Solve single inequalities
i. Solve compound inequalities
j. Solve inequalities containing absolute value
k. Apply skills to technical problems
Linked Core Abilities
Solve Problems
3. Graph linear equations
Properties
Domain : Cognitive
Level : Application
Importance : Essential
Difficulty : Medium
Criteria  Performance will be satisfactory when:
•learner chooses a valid method for solving a problem
•learner chooses an appropriate formula
•learner writes an equation representing the problem
•learner manipulates an existing formula to solve for an unknown
•learner draws an accurate diagram representing the problem
•learner shows the steps used to solve the problem
•answer is within 1 % of actual value
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Locate ordered pairs on Cartesian coordinate system
b. Graph line by creating a table of ordered pairs
c. Graph a line given the slope and yintercept
d. Graph a line given a point and slope
e. Write an equation of a line in all forms
f. Evaluate relations and functions
Linked Core Abilities
Communicate Clearly
4. Perform operations with algebraic terms
Properties
Domain : Cognitive
Level : Analysis
Importance : Essential
Difficulty : Medium
Criteria  Performance will be satisfactory when:
•learner chooses a valid method for solving a problem
•learner shows the steps used to solve the problem
•answer is within 1 % of actual value
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Perform algebraic operations on variables with exponents
b. Perform algebraic operations on polynomials
Linked Core Abilities
Solve Problems
5. Factor equations
Properties
Domain : Cognitive
Level : Analysis
Importance : Essential
Difficulty : High
Criteria  Performance will be satisfactory when:
•learner chooses a valid method for solving a problem
•learner manipulates an existing formula to solve for an unknown
•learner shows the steps used to solve the problem
•answer is within 1 % of actual value
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Factor whole numbers
b. Factor greatest common factor from algebraic expressions
c. Factor the difference of two squares
d. Factor simple trinomials
e. Factor perfect square trinomials
f. Factor general trinomials
g. Factor by grouping
h. Factor quadratics
Linked Core Abilities
Solve Problems
6. Solve rational equations
Properties
Domain : Cognitive
Level : Analysis
Importance : Important
Difficulty : High
Criteria  Performance will be satisfactory when:
•learner chooses a valid method for solving a problem
•learner chooses an appropriate formula
•learner writes an equation representing the problem
•learner manipulates an existing formula to solve for an unknown
•learner draws an accurate diagram representing the problem
•learner shows the steps used to solve the problem
•answer includes correct units of measure
•answer is within 1 % of actual value
•answer is stated with appropriate precision
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Simplify rational expressions
b. Multiply and divide rational expressions
c. Add and subtract rational expressions with like denominators
d. Add and subtract rational expressions with different denominators
e. Simplify complex rational expressions
f. Solve rational equations
g. Apply skills to technical problems
Linked Core Abilities
Solve Problems
7. Solve systems of equations
Properties
Domain : Cognitive
Level : Application
Importance : Essential
Difficulty : High
Criteria  Performance will be satisfactory when:
•learner chooses a valid method for solving a problem
•learner chooses an appropriate formula
•learner writes an equation representing the problem
•learner manipulates an existing formula to solve for an unknown
•learner draws an accurate diagram representing the problem
•learner shows the steps used to solve the problem
•answer includes correct units of measure
•answer is within 1 % of actual value
•answer is stated with appropriate precision
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Solve system of two linear equations by graphing
b. Solve system of equations by addition
c. Solve system of equations by substitution
d. Apply skills to technical problems
Linked Core Abilities
Solve Problems
8. Solve radical equations
Properties
Domain : Cognitive
Level : Analysis
Importance : Important
Difficulty : High
Criteria  Performance will be satisfactory when:
•learner chooses a valid method for solving a problem
•learner chooses an appropriate formula
•learner writes an equation representing the problem
•learner manipulates an existing formula to solve for an unknown
•learner draws an accurate diagram representing the problem
•learner shows the steps used to solve the problem
•answer includes correct units of measure
•answer is within 1 % of actual value
•answer is stated with appropriate precision
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Multiply and divide radicals
b. Simplify radicals
c. Add and subtract radicals
d. Rationalize deominators
e. Multiply polynomials involving radicals
f. Solve radical equations
g. Apply skills to technical problems
Linked Core Abilities
Solve Problems
9. Solve quadratic equations
Properties
Domain : Cognitive
Level : Application
Importance : Essential
Difficulty : Medium
Criteria  Performance will be satisfactory when:
•learner chooses a valid method for solving a problem
•learner chooses an appropriate formula
•learner writes an equation representing the problem
•learner manipulates an existing formula to solve for an unknown
•learner draws an accurate diagram representing the problem
•learner shows the steps used to solve the problem
•answer includes correct units of measure
•answer is within 1 % of actual value
•answer is stated with appropriate precision
Conditions for assessment:
•using a scientific calculator
Learning Objectives
a. Solve quadratic equations by factoring
b. Use square root property to solve quadratics
c. Complete the square to solve quadratic equations
d. Use the quadratic formula
e. Graph simple quadratics
f. Apply skills to technical problems
Linked Core Abilities
Solve Problems
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