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Introductory Algebra

Prerequisite
Grade of “C” or better in MAT-010, or passing score on placement examination.

Catalog Course Description
Covers topics in elementary algebra: integral, rational and irrational numbers, techniques of
graphing and solving linear equations, polynomials and their operations , special products and
factoring, rational expressions and equations, radical expressions, quadratic equations and
methods of solutions. Applications of linear and quadratic equations are included as well.

Objectives of Course

This is the first of a two-course sequence in algebra designed to introduce and develop the
elementary concepts embodied in the topics listed above. Students will be trained in critical
thinking, oral and written skills as they pertain to algebra and mathematics in general.

Grade Requirement
A “C” is the minimum acceptance grade for completion of the remedial/development level or
movement to a credit course. You can advice your students that the next math course they
register after successfully finish Mat013 is Mat014 (Algebra II) or Mat107 (Mathematics I) or
Mat101 (Freshman Math I) depending on their major.

Suggested Day-To-Day Course Outline
MAT 013

Day Sections Topics ALEKS PIE &
QUIZ
1


 
Introduction,
R.4, 1.3

 
R.4 Introduction to Geometry
Obj. 1-Perimeter
Obj. 2-Area
Obj. 4-Angles
Obj. 5-Triangles
1.3 Addition of real Numbers
Obj. 1-Addition of Real Numbers and the Number Line
Obj. 2-Addition of Real Numbers
Obj. 3-Translations
Obj. 4-Applications Involving Addition of Real Numbers
Work on Arithmetic
Readiness, Practice
Quiz # 1 and assign
Mastery Quiz # 1
(Chapter R)
   
     
2



 
1.4, 1.5



 
1.4 Subtraction of Real Numbers
Obj. 1-Subtraction of Real Numbers
Obj. 2-Translations
Obj. 3-Applications Involving Subtraction
Obj. 4-Applying the Order of Operations
1.5 Multiplication and Division of Real Numbers
Obj. 1-Multiplication of Real Numbers
Obj. 2- Exponential Expressions
Obj. 3-Division of Real Numbers
Obj. 4-Applying the Order of Operations
Work on Real
numbers and
variables, Practice
Quiz # 2 and assign
Mastery Quiz # 2
(Chapter 1)
   
     
3




 
1.6, 2.1




 
1.6 Properties of Real Numbers and Simplifying
Expressions
Obj. 1-Commutative properties of real Numbers
Obj. 2-Associative properties of Real Numbers
Obj. 3-Identity and Inverse Properties of Real Numbers
Obj. 4-Distributive properly of Multiplication over
Addition
Obj. 5- Simplifying Algebraic Expressions
2.1 Addition, Subtraction, Multiplication, and Division
properties of Equality
Obj.1-Definition of a linear equation in One Variable
Obj.2-Addition and Subtraction Properties of Equality
Obj.3-Multiplication and Division Properties of Equality
Obj.4-Translations
Work on Linear
Equations and
Inequalities,
Practice Quiz # 3
and assign Mastery
Quiz # 3 (Chapter
2)
   
     
4 2.2, 2.3 2.2 Solving Linear Equations
Obj.1-Solving Linear Equations Involving Multiple Steps
Obj.2-Procedure for Solving a linear equation in One
Variable
Obj. 3-Conditional Equations, Identities, and
Contradictions
2.3 Linear Equations: Clearing Fractions and Decimals
Obj.1-Solving Linear equations with Fractions
 
   
5 2.4, 2.6 2.4 Applications of Linear Equations: Introduction to
Problem Solving
Obj. 1-Problem-Solving Strategies
Obj. 2-Translations Involving Linear Equations
Obj. 3-Consecutive Integer problems
Obj. 4-Applications of Linear Equations
2.6 Formulas and Applications of Geometry
Obj. 1-Formulas and Literal Equations
Obj. 2-Geometry Applications
 
   
6 Review    
7 TEST #1   Due Mastery
Quizzes # 1,2, 3
8




 
3.1, 3.2




 
3.1 Rectangular Coordinate System
Obj. 2-Plotting in a Rectangular Coordinate System
Obj. 3-Applications of Plotting and Identifying Points
3.2 Linear Equations in Two Variables
Obj. 1-Definition of a Linear equation in Two Variables
Obj. 2-Graphing Linear equations in Two Variables by
Plotting Points
Obj. 3- x-and y- Intercepts
Obj. 4-Horizontal and Vertical Line
Work on Functions,
lines, systems of
equations, Practice
Quiz # 4 and assign
Mastery Quiz # 4
(Chapter 3)
   
     
9 3.3, 3.4 3.3 Slopes of a Line and Rates of Change
Obj. 1-Introduction to Slope
Obj. 2-Slope formula
Obj. 3-Parellel and Perpendicular Lines
Obj. 4-Applications of Slope: Rate of Change
3.4 Slope- Intercept Form of a Line
Obj. 1-Slope-Intercept Form of a Line
Obj. 2-Graphing a Line from Its Slope and y- Intercept
Obj. 3-Determine Whether two Lines Are Parallel,
Perpendicular, Or Neither
Obj. 4-Writing an Equation of a line Using Slopeintercept
Form
 
   
10

 
3.5, 4.1

 
3.5 Point-Slope Formula
Obj. 1- Writing an equation of a Line using the Point-
Slope Formula
Obj. 2-Writing an Equation of a Line Given two Points
Obj. 3-Writing an Equation of a Line Parallel or
Perpendicular to Another Line
Obj. 4- Different forms of Linear Equations: A Summary
4.1 Solving Systems of equations by the Graphing
method
Obj. 1-determine Solutions to a System of Linear
Equations
Obj. 2-Dependent and Inconsistent Systems of Linear
Equations
Obj. 3-Solving Systems of Linear Equations by
Graphing
Practice Quiz # 5
and assign Mastery
Quiz # 5 (Chapter
4)
   
     
11 4.2, 4.3 4.2 Solving Systems of Equations by the Substitution
method
Obj. 1-Solving Systems of Linear Equations by the
Substitution Method
Obj. 2-Solutions to Systems of Linear Equations: A
Summary
Obj. 3-Applications of the Substitution method
4.3 Solving Systems of Equations by the Addition
Method
Obj. 1-Solving a System of Linear equations by the
Addition method
Obj. 2-Summary of Methods for using Linear Equations
in two Variables
 
   
12 4.4 and
Review
4.4 Applications of Linear Equations in Two Variables
Obj. 1-Applications Involving Cost
 
13 TEST # 2   Due Mastery
Quizzes # 4,5
14




 
5.1, 5.2




 
5.1 Exponents: Multiplying and Dividing Common
bases
Obj. 1-Review of exponential Notation
Obj. 2-Evaluating Expressions with exponents
Obj. 3-Multiplying and Dividing Common Bases
Obj. 4-Simplifying Expressions with Exponents
5.2 More properties of Exponents
Obj. 1-Power Rule for Exponents
Obj. 2-The Properties (ab)m and
Work on Integer
exponents and
polynomials,
Practice Quiz # 6
and assign Mastery
Quiz # 6 (Chapter
5)
   
     
15 5.3, 5.4 5.3 Definitions of  b0 and  b-n
Obj. 1-Definition of b0
Obj. 2-Definition of b-n
Obj. 3-Properties of Integer Exponents: A Summary
5.4 Scientific Notation
Obj. 1-Writing numbers in Scientific Notation
Obj. 2-Writing Numbers in Standard Form
Obj. 3-Multiplying and Dividing Numbers in Scientific
Notation
 
   
16 5.5, 5.6 5.5 Addition and Subtraction of Polynomials
Obj. 1-Introduction to Polynomials
Obj. 2-Addition of polynomials
Obj. 3-Subtraction of polynomials
Obj. 4-Polynomials and applications to Geometry
5.6 Multiplication of Polynomials and Special products
Obj. 1-Multiplication of Polynomials
Obj. 2-Special case Products: Difference of Squares
and perfect square Trinomials
Obj. 3-Applications to Geometry
 
   
17

 
5.7, Review

 
5.7 Division of Polynomials
Obj. 1- Division by a Monomial
Obj. 2-Long Division (if time permits)
 
18
 
TEST # 3
 
  Due Mastery Quiz
# 6
19



 
6.1, 6.2, 6.3



 
6.1 Greatest Common Factor and Factoring by
Grouping

Obj. 1-Identifying the Greatest Common Factor
Obj. 2-Factoring out the Greatest Common factor
Obj. 3-Factoring out a Negative factor
Obj. 4-Factoring out a Binomial factor
Obj. 5-Factoring by Grouping
6.2 Factoring Trinomials of the Form x2 + bx + c
2
Obj. 1-Factoring Trinomials with a leading Coefficient of
1
6.3 Factoring Trinomials: trial-and-Error method
Obj. 1- Factoring Trinomials by the Trial-and-Error
method
Work on Complex
numbers and
quadratic
equations, Practice
Quiz # 7 and assign
Mastery Quiz # 7
(Chapter 6)
   
   
     
20 6.4,6.5 6.4 Factoring trinomials: AC-Method
Obj. 1-Factoring Trinomials by the AC-Method
6.5 Difference of Squares and Perfect Square
Trinomials
Obj. 1-Factoring a Difference of Squares
Obj. 2-Factoring Perfect Square Trinomials
 
   
21 6.7, 6.8 6.7 Solving Equations Using the Zero product Rule
Obj. 1-Definition of a Quadratic Equation
Obj. 2-Zero Product Rule
Obj. 3-Solving Equations by Factoring
6.8 Applications of Quadratic Equations
Obj. 1-Applications of Quadratic Equations
 
   
22




 
7.1, 7.2




 
7.1 Introduction to Rational Expressions
Obj. 1-Definition of a Rational Expression
Obj. 2-Evaluating rational Expressions
Obj. 3-Domain of a rational Expression
Obj. 4-Simplifying Rational Expressions to Lowest
Terms
Obj. 5-Simplifying a Ratio of -1
7.2 Multiplication and Division of rational Expressions
Obj. 1-Multiplication of rational Expressions
Obj. 2-Division of Rational Expressions
Work on Rational
expressions and
proportions
,
Practice Quiz # 8
and assign Mastery
Quiz # 8 (Chapter
7)
   
     
23 7.3, 7.4 7.3 Least Common Denominator
Obj. 1-Least Common Denominator
Obj. 2-Writing Rational Expressions with the Least
Common Denominator
7.4 Addition and Subtraction of Rational Expressions
Obj. 1-Addition and Subtraction of Rational
Expressions with the Same Denominators
Obj. 2-Addition and Subtraction of rational Expressions
with Different Denominators
Obj. 3-Using Rational Expressions in Translations
 
   
24 8.1, 8.2, 8.3 8.1 Introduction to Roots and radicals
Obj. 1-Definition of a Square Root
8.2 Simplifying Radicals
Obj. 1-Multiplication property of Radicals(Focus on
square roots)
Obj. 2-Simplifying Radicals Using the Multiplication
Property of radicals
8.3 Addition and Subtraction of Radicals
Obj. 1-Definition of Like Radicals
Obj. 2-Addition and Subtraction of Radicals
Work on Radicals
and rational
exponents, Practice
Quiz # 9 and assign
Mastery Quiz # 9
(Chapter 8)
   
     
25 Catch-up
and Review
   
26
 
TEST # 4
 
  Due Mastery
Quizzes # 7,8,9
27 Final Review    
28 FINAL    
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