Introductory Algebra
Prerequisite
Grade of “C” or better in MAT010, 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 twocourse 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 DayToDay Course Outline
MAT 013
Day  Sections  Topics  ALEKS PIE & QUIZ 
1 
Introduction, R.4, 1.3 
R.4 Introduction to Geometry Obj. 1Perimeter Obj. 2Area Obj. 4Angles Obj. 5Triangles 1.3 Addition of real Numbers Obj. 1Addition of Real Numbers and the Number Line Obj. 2Addition of Real Numbers Obj. 3Translations Obj. 4Applications 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. 1Subtraction of Real Numbers Obj. 2Translations Obj. 3Applications Involving Subtraction Obj. 4Applying the Order of Operations 1.5 Multiplication and Division of Real Numbers Obj. 1Multiplication of Real Numbers Obj. 2 Exponential Expressions Obj. 3Division of Real Numbers Obj. 4Applying 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. 1Commutative properties of real Numbers Obj. 2Associative properties of Real Numbers Obj. 3Identity and Inverse Properties of Real Numbers Obj. 4Distributive properly of Multiplication over Addition Obj. 5Simplifying Algebraic Expressions 2.1 Addition, Subtraction, Multiplication, and Division properties of Equality Obj.1Definition of a linear equation in One Variable Obj.2Addition and Subtraction Properties of Equality Obj.3Multiplication and Division Properties of Equality Obj.4Translations 
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.1Solving Linear Equations Involving Multiple Steps Obj.2Procedure for Solving a linear equation in One Variable Obj. 3Conditional Equations, Identities, and Contradictions 2.3 Linear Equations: Clearing Fractions and Decimals Obj.1Solving Linear equations with Fractions 

5  2.4, 2.6  2.4 Applications of Linear Equations:
Introduction to Problem Solving Obj. 1ProblemSolving Strategies Obj. 2Translations Involving Linear Equations Obj. 3Consecutive Integer problems Obj. 4Applications of Linear Equations 2.6 Formulas and Applications of Geometry Obj. 1Formulas and Literal Equations Obj. 2Geometry 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. 3Applications of Plotting and Identifying Points 3.2 Linear Equations in Two Variables Obj. 1Definition of a Linear equation in Two Variables Obj. 2Graphing Linear equations in Two Variables by Plotting Points Obj. 3 xand y Intercepts Obj. 4Horizontal 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. 1Introduction to Slope Obj. 2Slope formula Obj. 3Parellel and Perpendicular Lines Obj. 4Applications of Slope: Rate of Change 3.4 SlopeIntercept Form of a Line Obj. 1SlopeIntercept Form of a Line Obj. 2Graphing a Line from Its Slope and y Intercept Obj. 3Determine Whether two Lines Are Parallel, Perpendicular, Or Neither Obj. 4Writing an Equation of a line Using Slopeintercept Form 

10 
3.5, 4.1 
3.5 PointSlope Formula Obj. 1 Writing an equation of a Line using the Point Slope Formula Obj. 2Writing an Equation of a Line Given two Points Obj. 3Writing 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. 1determine Solutions to a System of Linear Equations Obj. 2Dependent and Inconsistent Systems of Linear Equations Obj. 3Solving 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. 1Solving Systems of Linear Equations by the Substitution Method Obj. 2Solutions to Systems of Linear Equations: A Summary Obj. 3Applications of the Substitution method 4.3 Solving Systems of Equations by the Addition Method Obj. 1Solving a System of Linear equations by the Addition method Obj. 2Summary of Methods for using Linear Equations in two Variables 

12  4.4 and Review 
4.4 Applications of Linear Equations in Two
Variables Obj. 1Applications Involving Cost 

13  TEST # 2  Due Mastery Quizzes # 4,5 

14 
5.1, 5.2 
5.1 Exponents: Multiplying and Dividing Common bases Obj. 1Review of exponential Notation Obj. 2Evaluating Expressions with exponents Obj. 3Multiplying and Dividing Common Bases Obj. 4Simplifying Expressions with Exponents 5.2 More properties of Exponents Obj. 1 Power Rule for Exponents Obj. 2The 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 b^{0}
and b^{n} Obj. 1Definition of b^{0} Obj. 2Definition of b^{n} Obj. 3Properties of Integer Exponents: A Summary 5.4 Scientific Notation Obj. 1Writing numbers in Scientific Notation Obj. 2Writing Numbers in Standard Form Obj. 3Multiplying and Dividing Numbers in Scientific Notation 

16  5.5, 5.6  5.5 Addition and Subtraction of Polynomials Obj. 1Introduction to Polynomials Obj. 2Addition of polynomials Obj. 3Subtraction of polynomials Obj. 4 Polynomials and applications to Geometry 5.6 Multiplication of Polynomials and Special products Obj. 1Multiplication of Polynomials Obj. 2Special case Products: Difference of Squares and perfect square Trinomials Obj. 3Applications to Geometry 

17 
5.7, Review 
5.7 Division of Polynomials Obj. 1Division by a Monomial Obj. 2Long 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. 1Identifying the Greatest Common Factor Obj. 2Factoring out the Greatest Common factor Obj. 3Factoring out a Negative factor Obj. 4Factoring out a Binomial factor Obj. 5Factoring by Grouping 6.2 Factoring Trinomials of the Form x^{2} + bx + c 2 Obj. 1Factoring Trinomials with a leading Coefficient of 1 6.3 Factoring Trinomials: trialandError method Obj. 1 Factoring Trinomials by the TrialandError 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: ACMethod Obj. 1Factoring Trinomials by the ACMethod 6.5 Difference of Squares and Perfect Square Trinomials Obj. 1Factoring a Difference of Squares Obj. 2Factoring Perfect Square Trinomials 

21  6.7, 6.8  6.7 Solving Equations Using the Zero product Rule Obj. 1Definition of a Quadratic Equation Obj. 2Zero Product Rule Obj. 3Solving Equations by Factoring 6.8 Applications of Quadratic Equations Obj. 1Applications of Quadratic Equations 

22 
7.1, 7.2 
7.1 Introduction to Rational Expressions Obj. 1Definition of a Rational Expression Obj. 2Evaluating rational Expressions Obj. 3Domain of a rational Expression Obj. 4Simplifying Rational Expressions to Lowest Terms Obj. 5Simplifying a Ratio of 1 7.2 Multiplication and Division of rational Expressions Obj. 1Multiplication of rational Expressions Obj. 2Division 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. 1Least Common Denominator Obj. 2Writing Rational Expressions with the Least Common Denominator 7.4 Addition and Subtraction of Rational Expressions Obj. 1Addition and Subtraction of Rational Expressions with the Same Denominators Obj. 2Addition and Subtraction of rational Expressions with Different Denominators Obj. 3Using Rational Expressions in Translations 

24  8.1, 8.2, 8.3  8.1 Introduction to Roots and radicals Obj. 1Definition of a Square Root 8.2 Simplifying Radicals Obj. 1Multiplication property of Radicals(Focus on square roots) Obj. 2Simplifying Radicals Using the Multiplication Property of radicals 8.3 Addition and Subtraction of Radicals Obj. 1Definition of Like Radicals Obj. 2Addition and Subtraction of Radicals 
Work on Radicals and rational exponents, Practice Quiz # 9 and assign Mastery Quiz # 9 (Chapter 8) 
25  Catchup and Review 

26 
TEST # 4 
Due Mastery Quizzes # 7,8,9 

27  Final Review  
28  FINAL 
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