Date 
Sections 
Topics 
Prerequisite Skills 
Student Learning Outcomes

Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic arithmetic skills
 Basic understanding of order of operations

Review of:

Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic arithmetic skills
 Basic understanding of Order of Operations
 Basic understanding of exponents

Review the following rules of exponents:
 product rule
 quotient rule
 power rule
 zero exponent rule
 negative rule
Review how to find the power of a product and a quotient
Review how to simplify exponential expressions

Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic understanding of Order of Operations
 Basic understanding of exponents and radicals
 Basic understanding of factoring polynomials and definition of a factor
 Understanding operations with fractions

Review the following radical expression concepts:
 evaluate square roots
 use the product rule to simplify square roots
 use the quotient rule to simplify square roots
 add and subtract square roots

Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic arithmetic skills
 Basic understanding of Order of Operations
 Basic prime factorization
 Basic understanding of factoring

Review factoring techniques for the following type of polynomials:
 factor the greatest common factor of a polynomial
 factor a trinomial
 factor by grouping
 factor a perfect square trinomial
 factor a difference of squares

Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic arithmetic skills
 Basic understanding of Order of Operations
 Basic understanding of factoring
 Basic understanding of Solving Equations


Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic arithmetic skills
 Basic understanding of Order of Operations
 Basic understanding of factoring

Review the following linear inequality topics:
 use interval notation
 use properties of inequalities
 solve inequalities in one variable algebraically

Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic arithmetic skills
 Basic understanding of Order of Operations
 Basic understanding of factoring

Review the following linear equation topics:
 Basic mathematical symbols and terminology
 solving linear equations in one variable
 finding a linear equation
 write and interpret a linear equation

Week 1

Module 1


 Basic mathematical symbols and terminology
 Basic arithmetic skills
 Basic understanding of order of operations
 Basic understanding of factoring
 Basic understanding of solving Linear Equations
 Understanding of the Cartesian coordinate system


Week 2

Module 2



 Determine whether a relation represents a function.
 Find the value of a Functions
 Graph the functions listed in the library of functions.
 Determine whether a function is onetoone.
 Use the vertical line test to identify functions.

Week 2

Module 1.2



 Find the domain of a function defined by an equation.
 Graph piecewisedefined functions.

Week 2

Module 1.2



 Find the domain of a function defined by an equation.
 Graph piecewisedefined functions.

Week 2

Module 1.2




Week 3

Module 2.1


 Basic understanding of power expressions.
 The student recalls the Graphs and equations of Toolkit Functions, and their associated Domain and Range (Module 1).
 The student understands where the xintercept and yintercept are located given a graph.
 The student understands interval notation for Domain and Range (Module 1).
 The student can substitute values for variables in an Equations and solve for an unknown (Module R)

 Identify power functions.
 Identify end behavior of power functions.

Week 3

Module 2.1


 Basic understanding of a polynomial expression.
 The student recalls the Graphs and equations of Toolkit Functions, and their associated domains and ranges (Module 1).
 The student understands where the xintercept and yintercept are located given a graph.
 The student understands interval notation for Domain and Range (Module 1).
 The student can substitute values for variables in an Equations and solve for an unknown (Module R).

 Identify polynomial functions.
 Identify the degree and leading coefficients of polynomial functions.

Week 3

Module 2.2


 Fundamentals of Polynomials
 The student understands the difference between a maximum and minimum.

 Recognize characteristics of parabolas
 Understand how the graph of a parabola is related to its quadratic function
 Determine a quadratic function's minimum or maximum value
 Solve problems involving a quadratic function's minimum or maximum value

Week 4

Module 3


 Basic understanding of multiplying and dividing fractions.
 Basic understanding of simplifying fractions by common factors.
 Basic understanding of the rules of exponents. (Module R Simplifying Exponents)
 Basic understanding of Factoring Polynomials

 Simplify rational expressions.
 Multiply rational expressions.
 Divide rational expressions.
 Add and subtract rational expressions.
 Simplify complex rational expressions.

Week 5

Module 4.1


 The student understands that zero in the denominator of a fraction is undefined.
 The student recalls the graphs and equations of Toolkit Functions, and their associated Domain and Range (Module 1).


Week 5

Module 4.2




Week 6

Module 5.1


 Understanding the Toolkit Functions for exponential functions (Module 1)
 Understanding the Domain and Range for exponential functions (Module 1)

 Evaluate exponential functions.
 Find the equation of an exponential function.
 Use compound interest formulas.
 Evaluate exponential functions with base e.

Week 6

Module 5.2



 Rewriting from exponential form to logarithmic form and vice versa
 y=b^x\equiv\log_b(y)=x
 Evaluate logarithms.
 Use common logarithms.
 Use natural logarithms.

Week 7

Module 6.1



 Use the product rule for logarithms.
 Use the quotient rule for logarithms.
 Use the power rule for logarithms.
 Expand logarithmic expressions.
 Condense logarithmic expressions.
 Use the changeofbase formula for logarithms.

Week 7

Module 6.2



 Use like bases to solve exponential equations.
 Use logarithms to solve exponential equations.

Week 7

Module 6.2



 Use the definition of a logarithm to solve logarithmic equations.
 Use the onetoone property of logarithms to solve logarithmic equations.
 Solve applied problems involving exponential and logarithmic equations.

Week 8

Module 7.1




Week 8

Module 7.1




Week 8

Module 7.2



 Ordinary Annuity Future Values
 Annuity Due Future Values

Week 8

Module 7.2



 Ordinary Annuity Future Values
 Annuity Due Future Values

Week 9

Module 8.1



 Find the amount of a loan given the payments.
 Find the payments required given the loan amount.

Week 9

Module 8.2



 Define a promissory note.
 Calculate unknown values for interest bearing promissory notes.
 Calculate unknown values for non interest bearing promissory notes.

Week 10

Module 9.1



 Solve systems of equations by graphing.
 Solve systems of equations by substitution.
 Solve systems of equations by elimination
 Identify inconsistent systems of equations containing two variables.
 Express the solution of a system of dependent equations containing two variables.

Week 10

Module 9.1



 Identify the solution region of a system of two inequalities.

Week 10

Module 9.2



 Define an objective function.
 Define constraint equations.
 Define feasible regions and determine corner points.
 Solve linear programming problems using a graph.

Week 11

Module 10.1


 Basic operations with real numbers.

 Find the sum and difference of two matrices.
 Find the scalar multiples of a matrix.
 Find the product of two matrices.

Week 11

Module 10.1


 Basic operations with real numbers.

 Find the sum and difference of two matrices.
 Find the scalar multiples of a matrix.
 Find the product of two matrices.

Week 11

Module 10.2



 Find the inverse of a matrix.
 Solve a system of linear equations using inverse matrix.

Week 12

Module 11.1



 Sets, elements of sets, and subsets.
 Union, intersection, and complement of sets
 Universal set and empty set

Week 12

Module 11.2


 Sets and Subsets (Module 11.1)
 Unions and intersections of sets. (Module 11.1)

 Provide a visual representation of sets
 Provide a visual representation of the union and intersections of sets

Week 12

Module 11.2



 Cardinality of a set and the properties
 Finding cardinality using a Venn diagram

Week 13

Module 12.1


 Basic operations with real numbers and fractions.
 Conversion between fractions, decimals, and percents.

 Basic probability
 Complementary events
 Odds
 Probability for independent events

Week 13

Module 12.2


 Basic operations with real numbers and fractions.
 Conversion between fractions, decimals, and percents.


Week 14

Module 13.1



 Conditional probability
 Probability of “and” for conditional events

Week 14

Module 13.2



 Basic counting techniques and rules
 Factorial, Permutations, and Combinations
