Course Title: Math A Elementary Algebra


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1 Course Title: Math A Elementary Algebra Unit 0: Course Introduction In this unit you will get familiar with important course documents, such as syllabus and communication policy. You will register on MyMathLab to begin working on assignments from first chapter of our textbook. In addition, we will have a discussion about online courses and your readiness for an online course. know important course policies understand the nature of an online course and evaluate your readiness for online course environment introduce yourself to the class and read introductions of other students and instructor know how to contact your instructor Unit 1: Chapter 1  Variables, Real Numbers and Mathematical Models In Unit 1 you will review operations with real numbers and basic rules of algebra. You also will learn about online etiquette, aka as Netiquette. know terminology associated with algebraic expressions, apply basic operations to algebraic expressions and simplify them perform various operations with fractions perform operations with real numbers evaluate exponential expressions apply order of operations apply the Netiquette rules to all online communication in this course Unit 2: Chapter 2A Linear Equations and Inequalities in One Variable In this unit you will solve linear equations in one variable and solve problems involving percent. solve linear equations in one variable using the Addition Property of Equality solve linear equations in one variable using the Multiplication Property of Equality solve equations using both the Addition and Multiplication Properties of Equality solve application problems solve Base/Amount/Percent type of problems find percent increase/decrease
2 Unit 3: Chapter 2B Problem Solving In this unit you will apply your knowledge of solving equations to geometry application problems. You also will learn how to solve linear inequalities in one variable. solve application problems involving perimeter of a polygon solve application problems involving area of a polygon solve application problems involving circles solve application problems involving volume of common threedimensional figures solve application problems involving angles of a triangle solve application problems involving supplementary/complimentary angles Unit 4: Chapter 3A Linear Equations in Two variables In this unit you will learn how to graph linear equations in two variables using various methods, how to find a slope of a line, and how to find equation of a line given certain information about it. graph linear equations in two variables by plotting points graph linear equations in two variables using intercepts find the slope of a line graph linear equations in two variables using the slopeintercept form of linear equations use linear equations to model data and solve application problems Unit 5: Chapter 3B and 4A Linear Inequalities in Two Variables and Systems of Linear Equations In this unit you will extend your knowledge of graphing linear equations in two variables to graphing linear inequalities in two variables. You also will learn how to solve systems of two linear equations in two variables by graphing as well as by the substitution method and addition method. graph solutions to linear inequalities in two variables solve systems of two linear equations in two variables by graphing solve systems of two linear equations in two variables by substitution method systems of two linear equations in two variables by addition method Unit 6: Chapter 4B Systems of Equations and Problem Solving In this unit you will apply your skills of solving systems of two linear equations in two variables to application problems. In addition, you will extend your knowledge of
3 inequalities in two variables obtained in the previous unit and learn to solve systems of linear inequalities in two variables. develop a strategy for solving application problems involving systems of two equations in two variables solve geometrybased problems solve simple interest problems solve mixture problems Unit 7: Chapter 5A Exponents In this unit you will review the definition of a polynomial and some vocabulary related to this topic. You will learn how to add, subtract and multiply polynomials and how to graph equations defined by polynomials. You will learn various properties of exponents. You also will learn how to operate with polynomials in several variables. define a polynomial and use appropriate terminology associated with polynomials add and subtract polynomials graph equations defined by polynomials by point plotting simplify expressions using the following properties of exponents: Product Rule, Power Rule, ProducttoPower Rule multiply polynomials with various number of terms use the FOIL method of multiplying polynomials multiply special products: the sum and difference of two terms, squares of a binomial know the terminology associated with polynomials in several variables add, subtract and multiply polynomials in several variables Unit 8: Chapter 5B Polynomials In this unit you will learn how to divide polynomials by using various properties of exponents and by long division. You will learn how to express numbers in scientific notation and how to perform computations with scientific numbers. simplify expressions using the following properties of exponents: Quotient Rule, ZeroExponent Rule, QuotienttoPower Rule, Negative Exponent Rule divide monomials divide a polynomial by a monomial divide polynomials using long division convert numbers to the scientific notation and vice versa perform computations using scientific numbers
4 Unit 9: Chapter 6A Intro to Factoring In this unit you will obtain basic factoring skills to factor out the greatest common factor, factor by grouping and factor trinomials with leading coefficient of 1. You will review the concepts you have leaned by now and take the midterm. factor out the greatest common factor factor using the grouping method factor trinomials with leading coefficient of 1 take the midterm Unit 10: Chapter 6B Factoring Polynomials In this unit you will continue learning new techniques of factoring trinomials and special products and will develop a strategy for determining the best factoring method for individual problems. You will apply your factoring skills to solving quadratic equations and application problems. factor trinomials with leading coefficient other than 1 using the trialanderror method factor trinomials with leading coefficient other than 1 using the ACmethod factor perfect square trinomials factor the Difference of two Squares factor the Sum and Difference of Two Cubes determine the best factoring method for individual problems solve quadratic equations by factoring and applying the zeroproduct principle solve application problems based on quadratic model Unit 11: Chapter 7A Rational Expressions In this unit you will learn how to simplify, multiply, divide, add, and subtract rational expressions. determine values for which rational expression is undefined simplify rational expressions multiply and divide rational expressions find the least common denominator add and subtract rational expressions Unit 12: Chapter 7B Rational Equations and Applications In this unit you will learn how to solve rational equations and apply this skill to application problems. solve rational equations solve motion problems
5 solve work problems solve problems involving proportions solve problems based on similar triangles Unit 13: Chapter 8A  Radical Expressions In this unit you will be introduced to radical expressions and will learn to simplify, multiply, divide, add, and subtract radical expressions. evaluate square roots, cube roots and be exposed to higher roots simplify roots containing variables apply the Product Rule of Square Roots apply Quotient Rule for Square Roots add and subtract like radicals multiply radical expressions rationalize denominator with one or two terms Unit 14: Chapter 8B Radical Equations and Applications In this unit you will learn how to solve radical equations and apply this skill in problem solving. check whether a solution is extraneous solve radical equations with one radical solve radical equations with two radicals solve application problems involving radical expressions Unit 15: Solving Quadratic Equations In this unit you will learn how to solve quadratic equations by sing the Square Root Property, completing the square process and the Quadratic Formula. You will apply these skills to problems solving. In addition, you will learn how to find the distance between two given points. solve equations using the Square Root Property solve equations by completing the square solve equations using Quadratic Formula determine which method of solving quadratic equations to use solve application problems using the Pythagorean Theorem find the distance between two points using the Distance Formula solve application problems modeled by quadratic equations Unit 16: Final Review and Testing During this week you will review the content for the course to prepare for the final exam. You will take the final exam.
6 After the successful completion of this unit, you will review for and take the final exam.
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