# COMPASS Math Review Course

## Math Basics

### Lesson 1: Positives and Negatives

- Addition and Subtraction
- Multiplication and Division
- Word Problems with Subtraction
- Word Problems with Multiplication

### Lesson 2: Order of Operations/Evaluation

### Lesson 3: Absolute Value

### Lesson 4: Factors and Multiples

- Prime Numbers, Factoring, and Prime Factorization
- Prime Numbers Explained
- Overview of Multiples
- Least Common Multiples
- Greatest Common Factor

## Fractions

### Lesson 1: Fractions and Mixed Numbers

### Lesson 2: Operations with Fractions

### Lesson 3: Operations with Mixed Numbers

- Adding and Subtracting Mixed Numbers with the Same Denominator
- Adding and Subtracting Mixed Numbers with Different Denominators
- Multiplying Mixed Numbers
- Dividing Mixed Numbers

## Decimals

### Lesson 1: Decimal Concept

- Introduction to Decimals
- Converting Decimals to Fractions and Percentages
- Converting Decimals to Improper Fractions and Mixed Numbers
- Converting Fractions to Percentages and Decimals
- Converting Improper Fractions to Mixed Numbers and Decimals

### Lesson 2: Addition and Subtraction

### Lesson 3: Multiplication and Division

### Lesson 4: Scientific Notation

## Expressions and Equations

### Lesson 1: Variables and Expressions

### Lesson 2: Beginning Equations

- Solving Equations Using Addition and Subtraction
- Solving Equations Using Multiplication and Division

### Lesson 3: Intermediate Equations

### Lesson 4: Word Problems

- Number Problems Explained
- Word Problems with Addition
- Word Problems with Subtraction
- Word Problems with Multiplication
- Word Problems with Division

## Inequalities and Functions

### Lesson 1: Inequalities

- Solving and Graphing Inequalities
- Solving Inequalities Using All 4 Basic Operations
- Solving Inequalities Using Addition and Subtraction
- Solving Inequalities Using Multiplication and Division
- Graphing Solutions to Linear Inequalities

### Lesson 2: Functions

## Linear Equations and Systems of Equations

### Lesson 1: Slope

### Lesson 2: Slope-Intercept Form

### Lesson 3: Writing Equations of Lines

### Lesson 4: Systems of Equations

## Exponents and Polynomials

### Lesson 1: Exponent Rules

- Introduction to Exponents
- Laws of Exponents
- Multiplication and Division of Exponents
- Addition and Subtraction of Exponents

### Lesson 2: Multiplying Polynomials

## Factoring and Rational Expressions

### Lesson 1: Factoring

### Lesson 2: Polynomial Equations

### Lesson 3: Rational Expressions

## Radicals

### Lesson 1: Beginning Radicals

### Lesson 2: Advanced Radicals

## Ratio, Proportion, and Percent

### Lesson 1: Ratios

### Lesson 2: Proportion

### Lesson 3: Percent Concept

- Understanding Percents
- Converting Fractions to Percents
- Converting Percents to Fractions
- Converting Decimals to Percents
- Converting Percents to Decimals
- Proportions and Percents
- Computation with Percentages
- Percent Change Explained
- Finding a Number Given the Percentage of the Whole

## Angles and Triangles

### Lesson 1: Angles

## Similarity

### Lesson 1: Similar Polygons

- Geometry Application for Similar Triangles
- Similar Triangles I
- Similar Triangles II
- Similar Triangles III

## Right Triangles and Circles

### Lesson 1: The Pythagorean Theroem

### Lesson 2: Trigonometry

- Commonly Encountered Angles
- Identifying Sign of a Trigonometric Function
- Cosine
- Defined and Reciprocal Functions

### Lesson 3: Circles

## Measurements

### Lesson 1: Perimeter, Area and Circumference

- Perimeter and Area of a Triangle
- Perimeter and Area of a Trapezoid
- Perimeter and Area of a Square
- Perimeter and Area of a Rectangle
- Perimeter and Area of a Parallelogram
- Algebraic Reasoning with Area and Perimeter
- Area of an Octagon
- Area of a Rectangle with a Semi-Circle

### Lesson 2: Surface Area and Volume

- Surface Area and Volume of a Sphere
- Surface Area and Volume of a Right Circular Cylinder
- Surface Area and Volume of a Right Circular Cone
- Surface Area and Volume of a Rectangluar Solid
- Surface Area and Volume of a Pyramid
- Surface Area and Volume of a Cube
- Surface Area and Volume of a Cylinder

## Statistics

### Lesson 1: Central Tendency

COMPASS Test – Home

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Last updated: 10/20/2016

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