## College Success

### Academic Coverage: Unit and Topic Details #### math

EdReady for College Success covers every math topic that students are expected to learn and master in order to be fully ready for college-level coursework. The program is divided into three stages corresponding to typical college-course pre-requisite expectations, as follows:

Stage
1

Mastery indicates readiness for college-level math for non-STEM majors.

Foundational arithmetic, geometry, and statistics concepts are covered. ##### Whole Numbers
###### Introduction to Whole Numbers
• Place Value and Names for Whole Numbers
• Rounding Whole Numbers
• Comparing Whole Numbers
###### Adding and Subtracting Whole Numbers
• Adding Whole Numbers and Applications
• Subtracting Whole Numbers and Applications
• Estimation
###### Multiplying and Dividing Whole Numbers
• Multiplying Whole Numbers and Applications
• Dividing Whole Numbers and Applications
###### Properties of Whole Numbers
• Properties and Laws of Whole Numbers
• The Distributive Property
###### Exponents, Square Roots, and the Order of Operations
• Understanding Exponents and Square Roots
• Order of Operations ##### Fractions and Mixed Numbers
###### Introduction to Fractions and Mixed Numbers
• Introduction to Fractions and Mixed Numbers
• Proper and Improper Fractions
• Factors and Primes
• Simplifying Fractions
• Comparing Fractions
###### Multiplying and Dividing Fractions and Mixed Numbers
• Multiplying Fractions and Mixed Numbers
• Dividing Fractions and Mixed Numbers
###### Adding and Subtracting Fractions and Mixed Numbers
• Adding Fractions and Mixed Numbers
• Subtracting Fractions and Mixed Numbers ##### Decimals
###### Introduction to Decimals
• Decimals and Fractions
• Ordering and Rounding Decimals
###### Decimal Operations
• Multiplying and Dividing Decimals
• Estimation with Decimals ##### Ratios Rates and Proportions
###### Ratio and Rates
• Ratio and Rates
###### Proportions
• Understanding Proportions ##### Percents
###### Introduction to Percents
• Convert Percents, Decimals, and Fractions
###### Solving Percent Problems
• Solve Percent Problems
Stage
2

Mastery indicates readiness for college-level courses in any major.

Foundational algebraic concepts and skills are covered. ##### Solving Equations and Inequalities
###### Solving Equations
• Solving One-Step Equations Using Properties of Equality
• Solving Multi-Step Equations
• Special Cases and Applications
• Formulas
###### Solving Inequalities
• Solving One-Step Inequalities
• Multi-Step Inequalities
###### Compound Inequalities and Absolute Value
• Compound Inequalities
• Equations and Inequalities and Absolute Value ##### Exponents and Polynomials
###### Integer Exponents
• Exponential Notation
• Simplify by Using the Product, Quotient, and Power Rules
• Products and Quotients Raised to Powers
• Scientific Notation
###### Polynomials with Single Variables
• Introduction to Single Variable Polynomials
• Multiplying Polynomials
• Multiplying Special Cases
• Dividing by a Monomial
• Dividing by Binomials and Polynomials
###### Polynomials with Several Variables
• Simplifying and Evaluating Polynomials with More than One Term
• Operations with Polynomials ##### Factoring
###### Introduction to Factoring
• Greatest Common Factor
###### Factoring Polynomials
• Factoring Trinomials
• Factoring: Special Cases
• Special Cases: Cubes
• Solve Quadratic Equations by Factoring ##### Graphing
###### Graphs and Applications
• The Coordinate Plane
• Graphing Linear Equations
###### Slope and Writing the Equation of a Line
• Finding the Slope of a Line
• Writing the Equation of a Line
• Parallel and Perpendicular Lines
• Graphing Linear Inequalities ##### Systems of Equations and Inequalities
###### Graphing Systems of Equations and Inequalities
• Graphing Systems of Linear Equations
• Graphing Systems of Inequalities
###### Algebraic Methods to Solve Systems of Equations
• The Substitution Method
• The Elimination Method
###### Systems of Equations in Three or More Variables
• Solving Systems of Three Variables
Stage
3

Mastery indicates readiness for more advanced college-level math courses, such as those on STEM tracks.

More advanced algebraic and trigonometric skills are covered. ##### Rational Expressions
###### Operations with Rational Expressions
• Introduction to Rational Expressions
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Complex Rational Expressions
###### Rational Equations
• Solving Rational Equations and Applications
###### Formulas and Variation
• Rational Formulas and Variation • Multiplying and Dividing Radical Expressions
• Multiplication of Multiple Term Radicals
• Rationalizing Denominators
###### Complex Numbers
• Complex Numbers
• Operations with Complex Numbers
• Square Roots and Completing the Square ##### Functions
###### Introduction to Functions
• Identifying Functions
###### Using Functions
• Evaluating Functions
• Graphing Types of Functions
• Finding Domain and Range
###### Operations with Functions
• Arithmetic Operations with Functions ##### Exponential and Logarithmic Functions
###### Exponential Functions
• Introduction to Exponential Functions
###### Logarithmic Functions
• Introduction to Logarithmic Functions
• Properties of Logarithmic Functions
###### Natural Logarithms
• Introduction to Natural and Common Logarithms
###### Logarithmic and Exponential Equations
• Solving Exponential and Logarithmic Equations
• Mathematical Modeling with Exponential and Logarithmic Functions ##### Trigonometry
###### Introduction to Trigonometric Functions
• Identifying the Six Trigonometric Functions
• Right Triangle Trigonometry
• Unit Circle Trigonometry