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COURSE PROCEDURE FOR ELEMENTARY ALGEBRA

Student Level: College Preparatory

Prerequisite: Demonstrate competency in arithmetic of rational numbers (common fractions, decimals
and percent) by:
(1) Minimum grade of C in EBM4401 PRE ALGEBRA or
(2) A qualifying score on the ACT Math Asset Test and the ability to read at the eighth grade
level.

Controlling Purpose: This course is designed to introduce students to the basic concepts of
algebra. Students correctly enrolled in this course and completing the course with an A, B, or C should
usually plan to take MATH 4410 INTERMEDIATE ALGEBRA before taking MATH 4420 COLLEGE
ALGEBRA.

Learner Outcomes: Students completing this course with an A, B, or C should be able to simplify
many algebraic expressions, solve single variable equations, graph straight lines on the rectangular
coordinate plane, and make applications of algebra to solving elementary real life problems.

Unit Outcomes and Clock Hours of instruction for Core Curriculum: The following outline defines
the minimum core content to prepare students for MATH 4410 INTERMEDIATE ALGEBRA over a
period of 45 hours of instruction and testing, not including the final examination period. Instructors may
add other material as time allows.

Evaluation KEY:

All major and minor goals have been achieved and the achievement level is considerably
above the minimum required for doing more advanced work in the same field

All major goals have been achieved, but the student has failed to achieve some of the less
important goals. However, the student has progressed to the point where the goals of work at
the next level can be easily achieved.

All major goals have been achieved, but many of the minor goals have not been achieved. In
this grade range, the minimum level of proficiency represents a person who has achieved the
major goals to the minimum amount of preparation necessary for taking more advanced work
in the same field, but without any major handicap of inadequacy in his background.

A few of the major goals have been achieved, but the student’s achievement is so limited
that he is not well prepared to work at a more advanced level in the same field.

Failing, will be computed in GPA and hours attempted.

No instruction or training in this area.

* DENOTES OPTIONAL MATERIAL
Bold and Italicized items denote course competencies agreed upon by the Kansas Core Outcomes
Project

Chapter 1 OPERATIONS ON REAL NUMBERS AND ALGEBRAIC EXPRESSIONS

Outcomes: Students will review and confirm their ability to perform operations on real numbers, learn to
evaluate and simplify expressions using the properties of real numbers, and learn to evaluate
and simplify expressions with variable.

A	B	C	D	E	F		Specific Competencies Demonstrate the ability to:
						*1.1	Know what to do in the first week of the semester.
						*1.1	Know what to do before, during, and after class.
						*1.1	Use the text effectively.
						*1.1	Prepare for an exam.
						*1.2	Factor a Number as a Product of Prime Numbers.
						*1.2	Find the Least Common Multiple of Two or More Numbers
						*1.2	Write Equivalent Fractions
						*1.2	Write a Fraction in Lowest Terms
						*1.2	Round Decimals
						*1.2	Convert a fraction to a decimal and a decimal to a fraction.
						*1.2	Convert a percent to a decimal and a decimal to a percent.
						1.3	Classify numbers.
						1.3	Plot points on the real number line.
						1.3	Use inequalities to order real numbers.
						1.3	Compute the absolute value of a real number.
						1.4	Add, subtract, multiply, and divide integers with like signs and with different signs.
						1.5	Add, subtract, multiply, and divide rational numbers expressed as fractions.
						1.5	Add, subtract, multiply, and divide decimal numbers.
						1.6	Use the identity, commutative, and associative properties of addition and multiplication.
						1.6	Use the multiplication and division properties of 0.
						1.7	Evaluate exponential expressions.
						1.7	Apply the rules for Order of Operations.
						1.8	Evaluate algebraic expressions.
						1.8	Identify like terms and unlike terms.
						1.8	Use the distributive property.
						1.8	Simplify algebraic expressions by combining like terms.

Chapter 2 EQUATIONS AND INEQUALITIES IN ONE VARIABLE
2.1 – 2.8

Section

Outcomes: Students will set up and solve equations of the form ax + b = c, ax + b < c, and ax + b > c
and translate application problems into equations and inequalities and solve.

A	B	C	D	E	F		Specific Competencies Demonstrate the ability to:
						2.1	Determine if a number is a solution of an equation.
						2.1	Use the addition property of equality to solve linear equations.
						2.1	Use the multiplication property of equality to solve linear equations.
						2.2	Apply the addition and the multiplication properties of equality to solve linear equations.
						2.2	Combine like terms and apply the distributive property to solve linear equations.
						2.2	Solve a linear equation with the variable on both sides of the equation.
						2.2	Use linear equations to solve problems.
						2.3	Use the least common denominator to solve a linear equation containing fractions.
						2.3	Solve a linear equation containing decimals.
						2.3	Classify linear equations as identity, conditional, or contradiction.
						2.3	Use linear equations to solve problems.
						2.4	Evaluate a formula.
						2.4	Solve a formula for a variable.
						2.5	Translate English phrases to algebraic expressions and equations.
						2.5	Build models for solving direct translation problems.
						2.6	Solve direct translation problems involving percent.
						2.6	Model and solve direct translation problems from business involving percent.
						2.7	Set up and solve complementary and supplementary angle problems.
						2.7	Set up and solve angles of a triangle problems.
						2.7	Use geometry formulas to solve problems.
						2.7	Set up and solve uniform motion problems.
						2.8	Graph inequalities on the real number line.
						2.8	Use interval notation.
						2.8	Solve linear inequalities using properties of inequalities.
						*2.8	Model inequality problems

Chapter 3 INTRODUCTION TO GRAPHING AND EQUATIONS OF LINES
Section 3.1 – 3.7

Outcomes: Students will master the basic concepts of using ordered pairs of data, graphing on the x-y
coordinate plane, and manipulating 2-variable equations.

A	B	C	D	E	F		Specific Competencies Demonstrate the ability to:
						3.1	Plot points in the rectangular coordinate system.
						3.1	Determine if an ordered pair satisfies an equation.
						3.1	Create a table of values that satisfies an equation.
						3.2	Graph a line by plotting points.
						3.2	Graph a line using intercepts
						3.2	Graph vertical and horizontal lines.
						3.3	Find the slope of a line given two points.
						3.3	Find the slope of vertical and horizontal lines.
						3.3	Graph a line using its slope and a point on the line.
						3.3	Work with applications of slope.
						3.4	Use the slope-intercept form to identify the slope and y-intercept of a line.
						3.4	Graph a line whose equation is in slope-intercept form.
						3.4	Graph a line whose equation is in the form Ax + By = C.
						3.4	Find the equation of a line given its slope and y-intercept.
						3.4	Work with linear models in slope-intercept form.
						3.5	Find the equation of a line given a point and a slope.
						3.5	Find the equation of a line given two points
						*3.5	Build linear models using the point-slope form of a line.
						3.6	Determine whether two lines are parallel.
						3.6	Find the equation of a line parallel to a given line.
						3.6	Determine whether two lines are perpendicular.
						3.6	Find the equation of a line perpendicular to a given line.
						*3.7	Determine whether an ordered pair is a solution to a linear inequality.
						*3.7	Graph linear inequalities in two variables.
						*3.7	Solving problems involving linear inequalities in two variables.

Chapter 4 SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
4.1 – 4.6

Section

Outcomes: Students will solve application problems in 2-variables using graphic and algebraic skills.

A	B	C	D	E	F		Specific Competencies Demonstrate the ability to:
						*4.1	Determine if an ordered pair is a solution of a system of linear equations.
						*4.1	Solve a system of linear equations by graphing.
						*4.1	Classify systems of linear equations as consistent or inconsistent.
						*4.1	Solve applied problems involving systems of linear equations.
						*4.2	Solve a system of linear equations using the substitution method.
						*4.2	Solve applied problems involving systems of linear equations.
						*4.3	Solve a system of linear equations using the elimination method.
						*4.3	Solve applied problems involving systems of linear equations.
						*4.4	Model and solve direct translation problems.
						*4.4	Model and solve geometry problems.
						*4.4	Model and solve uniform motion problems.
						*4.5	Draw up a plan for modeling mixture problems.
						*4.5	Set up and solve money problems using the mixture model.
						*4.5	Set up and solve dry mixture and percent mixture problems.
						*4.6	Determine whether an ordered pair is solution of a system of linear inequalities.
						*4.6	Graph a system of linear inequalities.
						*4.6	Solve applied problems involving systems of linear inequalities.