A Complete PRAXIS Math Test Prep Course with a Personal Math Teacher

Hundreds of lessons covering all topics on four PRAXIS® math tests, including Core, Elementary, and Middle School. Practice for free or join at any time to access our complete lessons featuring videos, guided practice, self-tests, and more.

KEY FEATURESVIEW COURSESDEMO LESSONJOIN NOW
We offer comprehensive PRAXIS math test prep for the Core Academic Skills, Elementary Education, and Middle School tests. Every lesson features your own personal math teacher.

93% of our customers say they got the math help they needed. 97% say they would recommend us.

Key Features of our PRAXIS Math Test Prep Courses

100+ PRAXIS LESSONS WITH A PERSONAL MATH TEACHER

personal math instruction for PRAXIS test prep

We cover all the math on 4 different PRAXIS math tests.  Every lesson includes videos, guided practice, self-tests, worksheets and more.

DIAGNOSTIC PRE-TESTS BEFORE EVERY LESSON

pre-tests so you can save time in our PRAXIS math course

Every lesson in our PRAXIS math courses features a quick diagnostic pre-test so you don’t have to waste time on material you already know!

AUTO-GENERATED BACKGROUND LESSONS

find you weaknesses while taking the Praxis

If you are struggling on a particular topic, MathHelp.com automatically generates relevant background lessons to rebuild your math background!

GRADE REPORTING AND PROGRESS TRACKING

track progress on the PRAXIS

We offer detailed grade reporting and progress tracking to keep on task while completing your PRAXIS course!

MathHelp.com is used by Sylvan Learning and Kaplan.

PRAXIS Math Test Prep Reviews

“Thanks to your site, I finally passed the PRAXIS math. This was my fourth attempt. Thank you so much.”
Carrie

“I used your program in preparing for the PRAXIS math. Nailed it thanks to you guys!”
Chris

“I used your lessons to help me pass the Math PRAXIS 1. I tried personal tutors, books, and studied for months. Finally, I found you and I tried it out. For some reason your lessons were taught in such a format that I could easily understand. I scored a 178 and passed! I am so grateful. I was going to lose my teaching job and the passing math grade was what I needed to become residency certified. I now have my certificate and all is well. Thank you for providing me with great, easy to follow instructions with your program. I would recommend this PRAXIS test prep to anyone that is struggling or just wants to brush up with their math skills…children and adults!”
Andrea

“Used it to prep for PRAXIS Core Math. Great score, passed.”
Millie

“I am a middle school Social Studies teacher and have been trying to pass the PRAXIS II middle school math exam for some time. I am 3 points away from the score I need. MathHelp.com has been the greatest find!”
Robert

“I am using the program to pass the PRAXIS Elementary Math. It is exactly what I have been looking for. I took all kinds of PRAXIS test prep stuff… nothing helped. All the other courses were too advanced and did not focus on the fundamentals. This is a wonderful tool. I only wish I had found it months and months ago!”
JoEllen

“I used MathHelp.com to pass the math PRAXIS 5732 and I ended up doing great. Enjoyed the program and learned more than ever I did in high school. Great service!”
Kristin

“I’m using it to try and pass the PRAXIS math 5169 exam. I will probably renew my subscription as you have helped tremendously.”
Gary

“I am taking the PRAXIS I math and using your site to scrub up on my math knowledge. I am on every minute I can get, morning, noon and night. I have learned far more from the simple, straightforward instruction that your site offers than I think I ever did in school… (A few weeks later) I PASSED – I could not have got through the math section without your instruction. I am recommending you to all the others that have to sit the PRAXIS 1 test.”
Louise

“I am using this site to study for PRAXIS math 5018. I have found this site to be extremely beneficial. I have recommended this site to others who are having trouble passing the PRAXIS math.”
Cynthia

“You helped me pass the PRAXIS core math after five failed attempts. Thank you.”
Anne

PRAXIS Math Scope & Sequence

CHAPTER 1: WHOLE NUMBERS

Unit 1: Addition and Subtraction

Addition

Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

Unit 2: Multiplication and Division

Multiplication

Exponents

Division

Estimating Products and Quotients

Multiplication and Division Word Problems

Unit 3: Properties and Rules

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS

Unit 1: Positives and Negatives

Addition and Subtraction

Multiplication and Division

Unit 2: Order of Operations / Evaluation

Order of Operations

Evaluation

CHAPTER 3: FRACTIONS

Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Word Problems

Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 5: Multiplication and Division

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

CHAPTER 4: DECIMALS

Unit 1: Decimal Concept

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

Word Problems

Unit 2: Addition and Subtraction

Estimating Sums and Differences

Adding Decimals

Subtracting Decimals

Word Problems

Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

Dividing Decimals by Decimals

Word Problems

Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

CHAPTER 5: EXPRESSIONS, EQUATIONS, & INEQUALITIES

Unit 1: Variables and Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Unit 2: Beginning Equations

One-Step Equations

Two-Step Equations

Unit 3: Intermediate Equations

Equations with Fractions

Equations Involving Distributive

Unit 4: Advanced Equations

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

Unit 5: Literal Equations

Beginning Formulas

Advanced Formulas

Unit 6: Word Problems

Number Problems

Consecutive Integer Problems

Unit 7: Inequalities

Solving and Graphing Inequalities

CHAPTER 6: PATTERNS & FUNCTIONS

Unit 1: Patterns

Recognizing Patterns

Finding the nth Term in a Pattern

Unit 2: Functions

The Coordinate System

Recognizing and Evaluating Functions

Functions in Problem Situations

CHAPTER 7: RATIO, PROPORTION, & PERCENT

Unit 1: Ratio

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

Unit 2: Proportion

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Percent

Understanding Percents

Fractions and Percents

Decimals and Percents

Percent Problems

CHAPTER 8: GEOMETRY

Unit 1: Basic Figures

Points, Lines, Planes, and Space

Segments, Rays, and Length

Segment Addition Postulate and Midpoint

Angles and Measure

Angle Addition Postulate and Angle Bisector

Unit 2: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Vocabulary

Given Lines are Parallel

Unit 3: Triangles and Quadrilaterals

Angles of a Triangle

Sides of a Triangle

Quadrilaterals

Unit 4: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

CHAPTER 9: MEASUREMENT

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Perimeter and Circumference

Perimeter

Circumference

Unit 3: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Unit 5: Right Triangles

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

CHAPTER 10: PROBABILITY & STATISTICS

Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Central Tendency

Range, Median, and Mode

Mean

Word Problems

Unit 3: Probability

Simple Probability

Probability of Independent Events

Probability of Dependent Events

CHAPTER 1: WHOLE NUMBERS

Unit 1: Number Concepts

Place Value

Comparing Numbers

Rounding

Unit 2: Addition and Subtraction

Addition

Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

Unit 3: Multiplication and Division

Multiplication

Exponents

Division

Estimating Products and Quotients

Multiplication and Division Word Problems

Unit 4: Order of Operations

Order of Operations

Grouping Symbols

Variables

Unit 5: Properties of Real Numbers

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS

Unit 1: Integers and the Number Line

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Unit 2: Integer Operations

Addition

Subtraction

Multiplication

Division

Unit 3: Order of Operations and Word Problems

Word Problems

Order of Operations

CHAPTER 3: FRACTIONS

Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Word Problems

Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 5: Multiplication and Division

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

Unit 6: Operations on Rational Numbers

Addition and Subtraction

Multiplication and Division

CHAPTER 4: DECIMALS

Unit 1: Decimal Concept

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

Word Problems

Unit 2: Addition and Subtraction

Estimating Sums and Differences

Adding Decimals

Subtracting Decimals

Word Problems

Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

Dividing Decimals by Decimals

Word Problems

Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 5: ALGEBRAIC EXPRESSIONS

Unit 1: Patterns

Patterns with Whole Numbers

Patterns with Fractions, Decimals, and Integers

Advanced Patterns

Unit 2: Evaluating Expressions

Evaluation

Evaluation

Unit 3: Simplifying and Modeling Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Modeling Expressions

CHAPTER 6: EQUATIONS IN ONE VARIABLE

Unit 1: Beginning Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

Unit 2: Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

Unit 3: Equations with Fractions and Decimals

Integer Solutions

Decimal Solutions

Fractional Solutions

Unit 4: Formulas

Beginning Formulas

Advanced Formulas

Unit 5: Algebraic Proofs

Properties

Algebra Proofs with Properties

CHAPTER 7: RATIO, PROPORTION, & PERCENT

Unit 1: Ratios and Rates

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

Unit 2: Proportion

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Percent Concept

Understanding Percents

Fractions and Percents

Decimals and Percents

Unit 4: Percent Problems

Percent Problems

Percent Increase or Decrease

Unit 5: Percent Applications

Discount

Sales Tax

Interest

CHAPTER 8: WORD PROBLEMS

Unit 1: Modeling Equations & Beginning Word Problems

Modeling Two-Step Equations

Number Problems

Consecutive Integer Problems

Geometry Problems

Unit 2: Age/Value/Interest Problems

Age Problems

Value Problems

Interest Problems

Unit 3: Motion Problems

Introductory Motion Problems

CHAPTER 9: INEQUALITIES IN ONE VARIABLE

Unit 1: Inequalities in One Variable

Introduction to Inequalities

Solving and Graphing Inequalities

Unit 2: Compound Inequalities

Combined Inequalities

Advanced Inequality Problems

CHAPTER 10: GEOMETRY

Unit 1: Lines and Angles

Points, Lines, Segments, and Rays

Classifying Lines

Angles

Measuring Angles

Complementary and Supplementary Angles (Part 1)

Unit 2: Triangles

Angles of a Triangle

Sides of a Triangle

Unit 3: Angles and Parallel Lines

Vocabulary

Given Lines are Parallel

Unit 4: Polygons and Angles

Vocabulary

Sum of Interior and Exterior Angles

Regular Polygons

Quadrilaterals

Unit 5: Circles

Circles

Unit 6: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Perspective Drawings

Unit 7: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

CHAPTER 11: GRAPHING, FUNCTIONS, AND TRANSFORMATIONS

Unit 1: Functions

The Coordinate Grid

Domain and Range

Definition of a Function

Unit 2: Graphing Functions

Evaluating and Graphing Functions

Graphing within a Given Domain

Unit 3: Graphing Lines and Inequalities in Two Variables

Graphing Lines

The Intercept Method

Graphing Inequalities in Two Variables

Unit 4: Symmetry and Transformations

Symmetry

Transformations

Reflections

Translations

Rotations

Dilations

CHAPTER 12: LINEAR EQUATIONS

Unit 1: Patterns and Functions

Patterns and Table Building

Word Problems and Table Building

Unit 2: Slope and Rate of Change

Slope as a Rate of Change

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope (Graphs and Tables)

Using Coordinates to Find Slope

Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

Unit 4: Equations of Lines

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 5: Direct Variation and Applications

Direct Variation

Applications of Direct Variation and Linear Functions

CHAPTER 13: SYSTEMS OF LINEAR EQUATIONS

Unit 1: Solving Systems of Equations

By Graphing

By Addition

By Substitution

Advanced Systems

Unit 2: Word Problems

Number and Value Problems

Wind and Current Problems

CHAPTER 14: EXPONENTS AND POLYNOMIALS

Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

Numerical Bases and Exponents of Zero

Unit 2: Multiplying Polynomials

The Distributive Property

F.O.I.L.

CHAPTER 15: FACTORING POLYNOMIALS

Unit 1: Greatest Common Factor

Rules for Finding the G.C.F.

Factoring Out the G.C.F.

Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant

Special Trinomials with Negative Constant

Difference of Two Squares

Unit 3: Advanced Factoring

Coefficient on x2 Term, Positive Constant

Coefficient on x2 Term, Negative Constant

Factoring Out G.C.F. as First Step

Unit 4: Polynomial Equations

Beginning Equations

Intermediate Equations

CHAPTER 16: RATIONAL EXPRESSIONS

Unit 1: Simplifying Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Unit 2: Adding and Subtracting Rational Expressions

Adding Rational Expressions

Subtracting Rational Expressions

CHAPTER 17: RADICAL EXPRESSIONS AND EQUATIONS

Unit 1: Simplifying Radical Expressions

Square Roots

Multiplying Square Roots

Dividing Square Roots

Adding and Subtracting Square Roots

Unit 2: Radical Equations and Applications

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 18: MEASUREMENT

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Perimeter and Circumference

Perimeter

Circumference

Word Problems

Unit 3: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Word Problems

Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Cylinders and Cones

Word Problems

CHAPTER 19: STATISTICS AND PROBABILITY

Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

CHAPTER 1: WHOLE NUMBERS

Unit 1: Number Concepts

Place Value

Comparing Numbers

Rounding

Unit 2: Addition and Subtraction

Addition

Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

Unit 3: Multiplication and Division

Multiplication

Exponents

Division

Estimating Products and Quotients

Multiplication and Division Word Problems

Unit 4: Order of Operations

Order of Operations

Grouping Symbols

Variables

Unit 5: Properties of Real Numbers

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS

Unit 1: Integers and the Number Line

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Unit 2: Integer Operations

Addition

Subtraction

Multiplication

Division

Unit 3: Order of Operations and Word Problems

Order of Operations

Word Problems

CHAPTER 3: FRACTIONS

Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Word Problems

Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 5: Multiplication and Division

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

CHAPTER 4: DECIMALS

Unit 1: Decimal Concept

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

Word Problems

Unit 2: Addition and Subtraction

Estimating Sums and Differences

Adding Decimals

Subtracting Decimals

Word Problems

Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

Dividing Decimals by Decimals

Word Problems

Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 5: ALGEBRAIC THINKING

Unit 1: Patterns

Patterns with Whole Numbers

Patterns with Fractions, Decimals, and Integers

Advanced Patterns

Unit 2: Variables and Expressions

Evaluating Expressions

Combining Like Terms

The Distributive Property

Modeling Expressions

Unit 3: One-Step Equations

Introduction to Equations

Addition Equations

Subtraction Equations

Multiplication Equations

Division Equations

Writing and Solving Equations

Unit 4: Multi-Step Equations

Two-Step Equations

Equations with the Variable on Both Sides

Equations with the Distributive Property

Modeling Two-Step Equations

Unit 5: Equations with Fractions and Formulas

Equations with Fractions

Beginning Formulas

Unit 6: Inequalities

Introduction to Inequalities

Solving Inequalities

Solving and Graphing Inequalities

CHAPTER 6: RATIO, PROPORTION, AND PERCENT

Unit 1: Ratio

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

Unit 2: Proportion

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Percent Concept

Understanding Percents

Fractions and Percents

Decimals and Percents

Unit 4: Percent Problems

Percent of a Number

Percent One Number is of Another

Using Percent to Find a Number

Percent Increase or Decrease

Unit 5: Percent Applications

Discount

Sales Tax

Interest

CHAPTER 7: GEOMETRY

Unit 1: Lines and Angles

Points, Lines, Segments, and Rays

Classifying Lines

Angles

Measuring Angles

Complementary and Supplementary Angles

Unit 2: Two-Dimensional Figures

Angles of a Triangle

Sides of a Triangle

Polygons

Quadrilaterals

Circles

Unit 3: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Perspective Drawings

Unit 4: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

Symmetry

Unit 5: Graphing and Functions

The Coordinate Grid

Relations and Functions

Evaluating and Graphing Functions

Unit 6: Transformations

Transformations

Reflections

Translations

Rotations

Dilations

CHAPTER 8: LINEAR CHAPTER

Unit 1: Graphing

Graphing within a Given Domain

Graphing Lines

The Intercept Method

Graphing Inequalities in Two Variables

Unit 2: Patterns and Functions

Patterns and Table Building

Word Problems and Table Building

Unit 3: Slope

Slope as a Rate of Change

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope (Graphs and Tables)

Using Coordinates to Find Slope

Unit 4: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

Unit 5: Equations of Lines

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Direct Variation

CHAPTER 9: MEASUREMENT

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Perimeter and Circumference

Perimeter

Circumference

Word Problems

Unit 3: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Word Problems

Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Word Problems

Unit 5: Right Triangles

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 10: PROBABILITY AND STATISTICS

Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

CHAPTER 11: EXPONENTS

Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

Numerical Bases and Exponents of Zero

CHAPTER 1: EXPONENTS AND PROPERTIES OF REAL NUMBERS

Unit 1: Exponents

Exponents

Unit 2: Properties of Addition and Multiplication

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS AND EVALUATING EXPRESSIONS

Unit 1: Introduction to Integers

Graphing and Writing Integers

Comparing Integers

Unit 2: Operations with Integers

Addition and Subtraction

Multiplication and Division

Unit 3: Order of Operations/Evaluation

Order of Operations

Evaluation

Integers

CHAPTER 3: UNDERSTANDING FRACTIONS

Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Word Problems

Unit 4: Adding and Subtracting Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 5: Multiplying and Dividing Fractions

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

Unit 6: Operations with Rational Numbers

Addition and Subtraction

Multiplication and Division

Order of Operations

Evaluation

CHAPTER 4: DECIMALS

Unit 1: Decimal Concepts

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Unit 2: Comparing and Rounding Decimals

Comparing Decimals

Rounding Decimals

Unit 3: Estimating and Problem Solving

Estimating Sums and Differences

Word Problems

Word Problems

Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 5: Decimals and Rational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 5: SIMPLIFYING EXPRESSIONS & SOLVING EQUATIONS

Unit 1: Simplifying Algebraic Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Unit 2: Solving One- and Two-Step Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

Unit 3: Solving Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

Unit 4: Equations with Fractions and Decimals

Integer Solutions

Decimal Solutions

Fractional Solutions

Unit 5: Literal Equations and Formulas

Beginning Formulas

Advanced Formulas

CHAPTER 6: RATIO, PROPORTION, & PERCENT

Unit 1: Ratios and Rates

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

Unit 2: Proportions

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Percent, Decimals, and Fractions

Understanding Percents

Fractions and Percents

Decimals and Percents

Unit 4: Percent Problems

Percent Problems

Percent Increase or Decrease

Unit 5: Applications of Percent

Discount

Sales Tax

Interest

CHAPTER 7: WORD PROBLEMS

Unit 1: Beginning Word Problems

Number Problems

Consecutive Integer Problems

Geometry Problems

Unit 2: Age/Value/Interest Problems

Age Problems

Value Problems

Interest Problems

Unit 3: Mixture/Motion Problems

Mixture Problems

Introductory Motion Problems

Advanced Motion Problems

CHAPTER 8: INEQUALITIES AND ABSOLUTE VALUE

Unit 1: Linear Inequalities in One Variable

Solving and Graphing Inequalities

Combined Inequalities

Advanced Inequality Problems

Unit 2: Absolute Value Equations & Inequalities

Absolute Value Equations

Absolute Value Inequalities

CHAPTER 9: GRAPHING AND TRANSFORAMTIONS

Unit 1: The Rectangular Coordinate System

The Coordinate Grid

Unit 2: Transformations

Transformations

Reflections

Translations

Rotations

Dilations

CHAPTER 10: FUNCTIONS AND GRAPHING

Unit 1: Introduction to Functions

Domain and Range

Definition of a Function

Function and Arrow Notation

Unit 2: Graphing Functions

Graphing within a Given Domain

Graphing Lines

The Intercept Method

Unit 3: Linear Inequalities in Two Variables

Graphing Inequalities in Two Variables

CHAPTER 11: LINEAR EQUATIONS AND FUNCTIONS

Unit 1: Slope and Rate of Change

Slope as a Rate of Change

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

Unit 2: Slope Intercept Form and Graphs

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

Unit 3: Writing Equations in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 4: Direct Variation and Applications of Linear Equatio

Direct Variation

Applications of Direct Variation and Linear Functions

Unit 5: Equations of Lines in Standard Form

Standard Form

The Point-Slope Formula

Given Two Points

Parallel and Perpendicular

CHAPTER 12: SYSTEMS OF LINEAR EQUATIONS

Unit 1: Solving Systems of Equations

By Graphing

By Addition

By Substitution

Advanced Systems

Unit 2: Systems of Equations and Word Problems

Number and Value Problems

Wind and Current Problems

CHAPTER 13: EXPONENTS AND POLYNOMIALS

Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

Unit 2: Advanced Exponent Problems

Numerical Bases and Exponents of Zero

Combining Exponent Rules

Unit 3: Multiplying Polynomials

The Distributive Property

F.O.I.L.

Advanced Problems

CHAPTER 14: FACTORING

Unit 1: Greatest Common Factor

Rules for Finding the G.C.F.

Factoring Out the G.C.F.

Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant

Special Trinomials with Negative Constant

Difference of Two Squares

Unit 3: Factoring Trinomials

Coefficient on x2 Term, Positive Constant

Coefficient on x2 Term, Negative Constant

Unit 4: Advanced Factoring

Factoring Out G.C.F. as First Step

Basic Technique

Factoring Difference of Two Squares as Last Step

Unit 5: Solving Polynomial Equations

Beginning Equations

Intermediate Equations

Advanced Equations

CHAPTER 15: RATIONAL EXPRESSIONS AND EQUATIONS

Unit 1: Simplifying Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Unit 2: Advanced Rational Expressions

Adding Rational Expressions

Subtracting Rational Expressions

Complex Fractions

Unit 3: Rational Equations

Beginning Rational Equations

Advanced Rational Equations

CHAPTER 16: RADICAL EXPRESIONS AND EQUATIONS

Unit 1: Simplifying Radical Expressions

Square Roots

Simplifying Radicals

Unit 2: Multiplying and Dividing Radical Expressions

Multiplying Radicals

Dividing Radicals

Unit 3: Advanced Radical Expressions

Addition and FOILing

Advanced Division

Unit 4: Radical Equations

Beginning Equations

Advanced Equations

CHAPTER 17: QUADRATIC EQUATIONS

Unit 1: Quadratic Graphs and Transformations

Graphs of Quadratic Functions and Beginning Transformations

Graphs of Quadratic Functions and Advanced Transformations

Unit 2: Completing the Square

Square Rooting Both Sides

Beginning Completing The Square

Advanced Completing The Square

Unit 3: The Quadratic Formula

Beginning Quadratic Formula

Advanced Quadratic Formula

CHAPTER 18: IMAGINARY AND COMPLEX NUMBERS

Unit 1: Imaginary Numbers

Beginning Imaginary Numbers

Advanced Imaginary Numbers

Unit 2: Complex Numbers

Beginning Complex Numbers

Advanced Complex Numbers

CHAPTER 19: QUADRATIC FUNCTIONS AND GRAPHING

Unit 1: Vertex Form

Understanding y - k = a(x - h)2 Form

Graphing Quadratic Equations in y - k = a(x - h)2 Form

Writing Quadratic Equations in y - k = a(x - h)2 Form

Unit 2: Quadratic Functions

Graphing Quadratic Functions

The Sum and Product of Roots Formula

Writing Quadratic Functions

CHAPTER 20: INTRODUCTION TO GEOMETRY

Unit 1: Segments and Length

Points, Lines, Planes, and Space

Segments, Rays, and Length

Segment Addition Postulate and Midpoint

Unit 2: Angles

Angles and Measure

Angle Addition Postulate and Angle Bisector

Unit 3: Reasoning

Inductive vs. Deductive Reasoning

Conditional Statements

Unit 4: Beginning Proofs

Properties

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

CHAPTER 21: ANGLE PAIRS AND PERPENDICULAR LINES

Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

Vertical Angles

Unit 2: Perpendicular Lines

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

CHAPTER 22: PARALLEL LINES AND POLYGONS

Unit 1: Parallel Lines

Vocabulary

Given Lines are Parallel

Proving Lines are Parallel

Unit 2: Angles of a Triangle

Vocabulary and Triangle Sum Theorem

Algebra Problems

Word Problems and Exterior Angle Theorem

Unit 3: Polygons

Vocabulary

Sum of Interior and Exterior Angles

Regular Polygons

CHAPTER 23: TRIANGLES AND CONGRUENCE

Unit 1: Beginning Concepts

Congruent Figures

Proving Triangles are Congruent by SSS, SAS, and ASA

Unit 2: Advanced Concepts

Isosceles Triangle Theorems

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

CHAPTER 24: QUADRILATERALS

Unit 1: Parallelograms

Properties of Parallelograms

Proving a Quadrilateral is a Parallelogram

More Parallel Line Theorems

Unit 2: Other Quadrilaterals

Rectangles, Rhombuses, and Squares

Trapezoids

CHAPTER 25: SIMILARITY

Unit 1: Ratio and Proportion

Ratio

Proportion

Unit 2: Similar Polygons

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Word Problems

Unit 3: Similarity Theorems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

CHAPTER 26: RIGHT TRIANGLES

Unit 1: Pythagorean Theorem

The Pythagorean Theorem

Word Problems

Converse of the Pythagorean Theorem

Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

30-60-90 and 45-45-90 degree Triangles (Part II)

Unit 3: Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

Word Problems

CHAPTER 27: CIRCLES

Unit 1: Vocabulary and Tangents

Vocabulary

Tangents

Unit 2: Arcs, Central Angles, and Chords

Arcs and Central Angles

Beginning Arcs and Chords

Advanced Arcs and Chords

Unit 3: Angles and Segments

Inscribed Angles

Angles Formed by Chords, Secants, and Tangents

Unit 4: Segment Lengths

Theorems and Beginning Problems

Advanced Problems

CHAPTER 28: MEASUREMENT AND AREA

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Area of Rectangles, Squares, and Parallelograms

Area of Rectangles and Squares (Part I)

Area of Rectangles and Squares (Part II)

Area of Parallelograms

Unit 3: Area of Triangles, Rhombuses, and Trapezoids

Area of Triangles

Area of Rhombuses

Area of Trapezoids

Unit 4: Area of Polygons and Circles

Area of Regular Polygons

Area and Circumference of Circles

CHAPTER 29: VOLUME

Unit 1: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

Advanced Right Prisms

Unit 2: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

Advanced Regular Pyramids

Unit 3: Cylinders, Cones, and Spheres

Cylinders and Cones

Spheres

CHAPTER 30: DATA AND STATISTICS

Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations