Foundations for College Algebra – MATH 0989

Course Outline

MyMathLab Course ID: sharpe29004

[Algebra & Trigonometry, 9th Edition, Sullivan]

(Beginning & Intermediate Algebra, 5th Edition, Martin-Gay)

SESSION / TOPIC / RESOURCES
1 / Symbols and Sets of Numbers
  • Identify the sets: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers
  • Find the absolute value of a real number
/ [R.1, R.2]
(1.2)
2 / Exponents, Order of Operations, Variable Expressions
  • Define and use exponents and the order of operations
  • Evaluate algebraic expressions, given replacement values for variables
/ [R.1, R.2]
(1.4)
3 / Adding and Subtracting Rational Real Numbers
  • Add rational real numbers
  • Find the opposite of a real number
  • Subtract rational real numbers
  • Evaluate algebraicexpressions, given replacement values for variable
/ [R.1, R.2]
(1.5, 1.6)
4 / Multiplying and Dividing Rational Real Numbers
  • Multiply rational real numbers
  • Find the reciprocal of a rational real number
  • Divide Rational Real Numbers
  • Evaluate algebraicexpressions, given replacement values for variable
/ [R.1, R.2]
(1.7)
5 / Simplifying Algebraic Expressions
  • Properties of real numbers
  • Identify terms, like terms, and unlike terms
  • Combine like terms
  • Distributive Property
/ [R.1]
(1.8, 2.1)
6 / The Addition and Multiplication Properties of Equality
  • Define linear equations in one variable
  • Use the Addition Property of Equality and the Multiplication Property of Equality to solve linear equations.
/ [1.1]
(2.2)
7 / Solving Linear Equations
  • Apply a general strategy for solving a linear equation
  • Solve equations containing fractions.
  • Solve equations containing decimals
  • Recognize identities and equations with no solution
/ [1.1]
(2.3)
8 / Solving Linear Inequalities
  • Define linear inequality in one variable
  • Solve linear inequalities
  • Solve compound inequalities
  • Define solution sets by graphing on a number line and using interval notation
/ [R.2, 1.5]
(2.8)
9 / Review for Unit 1 Test
10 / Unit 1 Test
11 / Rectangular Coordinate System and Point Plotting Method
  • Define the Rectangular Coordinate System and plot ordered pairs of numbers
  • Identify a linear equation in two variables
  • Determine whether an ordered pair is a solution to a linear equation in two variables
  • Find the missing coordinate of an ordered pair solution, given one coordinate of the pair
  • Graph a linear equation by finding and plotting ordered pair solutions
/ [2.1, 2.2]
(3.1, 3.2)
12 / Intercepts
  • Identify intercepts of a graph
  • Graph a linear equation by finding and plotting intercepts
  • Identify and graph vertical and horizontal lines
/ [2.2, 2.3]
(3.3)
13 / Slope
  • Find the slope of a line given its graph
  • Find the slope of a line using the slope formula given two points on the line
  • Find the slope of a line given its equation
  • Use the slope-intercept form to graph a linear equation
  • Compare the slopes of parallel and perpendicular lines
/ [2.3]
(3.4)
14 / Equations for Lines
  • Use the slope-intercept form or point-slope form to write an equation of a non-vertical line
  • Find equations of vertical and horizontal lines
/ [2.3]
(3.5)
15 / Functions
  • Identify relations, domains, and ranges
  • Identify functions given by maps, rosters, or graphs
  • Use the Vertical Line Test
  • Use function notation
/ [3.1, 3.2, 4.1]
(3.6)
16 / Review for Unit 2 Test
17 / Unit 2 Test
18 / Exponents
  • Evaluate exponential expressions
  • Use the Rules of Exponents
  • Define a number raised to the 0 power
/ [R.2]
(5.1)
19 / Adding and Subtracting Polynomials
  • Define polynomial, monomial, binomial, trinomial, and degree
  • Add and subtract polynomials
/ [R.4]
(5.2)
20 / Multiplying Polynomials
  • Multiply monomials
  • Use the Distributive Property to multiply polynomials
/ [R.4]
(5.3)
21 / Special Products
  • Multiply two binomials using the FOIL method
  • Square a binomial
  • Multiply the sum and difference of two terms
/ [R.4]
(5.4)
22 / Negative Exponents and Scientific Notation
  • Simplify expressions containing negative exponents
  • Convert numbers from scientific notation and vice versa
/ [R.2]
(5.5)
23 / Review for Unit 3 Test
24 / Unit 3 Test
25 / The Greatest Common Factor and Factoring by Grouping
  • Find the Greatest Common Factor of a list of terms
  • Factor out the Greatest Common Factor from a polynomial
  • Factor a polynomial containing four terms by grouping in pairs
/ [R.5]
(6.1)
26 / Factoring Binomials
  • Factor the difference of two squares
  • Factor the sum or difference of two cubes
/ [R.5]
(6.5)
27 / Factoring Perfect Square Trinomials and Trinomials of the Form
  • Factor perfect square trinomials
  • Factor trinomials of the form
/ [R.5]
(6.2, 6.3)
28 / Factoring Trinomials of the Form , where
  • Factor trinomials of the form , where
/ [R.5]
(6.2, 6.3)
29 / Solving Quadratic and Higher Degree Polynomial Equations by Factoring
  • Choosing a factoring strategy
  • Solve quadratic equations by factoring
  • Solve polynomial equations with degree greater than 2 by factoring.
/ [R.5, 1.2]
(6.6)
30 / Unit 4 Test Review
31 / Unit 4 Test
32 / Final Exam Review
33 / FINAL EXAM