Jump Start Your Teaching Career With Our Custom NES Math Test Prep Courses

MathHelp.com offers 3 custom NES math prep courses with a personal math teacher.  Don’t let math hold you back from becoming the teacher you deserve to be!

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“YES! I passed my NES test last week, and your program was the reason why!”- Nikkie Kromminga (May 2017)

Key Features of our NES Math Test Prep Courses

NES MATH LESSONS WITH A TEACHER

NES math test prep

Our NES math lessons cover all the math on the tests.  Every lesson includes videos, guided practice, self-tests, worksheets and more.

PRE-TESTS BEFORE EVERY NES MATH LESSON

NES math prep

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

AUTO-GENERATED BACKGROUND LESSONS
find weaknesses while taking your NES test

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
NES math help

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

I have nothing but appreciation for this website. I needed to take the NES Essential Skills math test for teacher licensure. I was feeling extremely discouraged because I hadn’t practiced math since my early years of college. I needed to be taught by real teachers. I needed opportunities to practice and assess my knowledge. From one teacher to other teachers, thank you. This site is absolutely amazing!” – Chloe Brummond (April 2017)

NES Math Test Prep Reviews (2017)

“I passed my NES 203 exam. Thanks! Your system was very clean, clear and concise!”
Susan Rogers (March 2017)

Passed the NES for Minnesota!”
Elizabeth Beenken (March 2017)

I am using it to review for my NES 304 exam for the State of Arizona. It has been very helpful so far.
Brooke Heckman (February 2017)

I loved your program. I used it to study for the NES teacher math test. Even though I had taught 20 years in Wisconsin, when I moved to Minnesota, they made me take 10 tests to prove I could teach. I didn’t pass the math test the first time. I DID pass after a few weeks of studying with you. Thanks so much!
Ann Salt (January 2017)

NES Math Test Prep Reviews (2016 and before)

I passed my test. Thank you so much, Mathhelp.com, for providing excellent study materials for the NES Middle Grades Math test. The lectures were great in that they did not cover too much material, just the key points. I love the way you guys break the content into many small lectures. THANK YOU!
Vienna

Your NES 203 course was excellent! Thank you. Your lessons are well structured, solutions always accurate, thoroughly explained and easy to follow. With so many topics covered on the exam I was preparing to take, Your program kept me focused and on task. I really grateful that I found your site. Thank you!”
Cyndee

“Math help really helped me to pass my NES Mathematics Exam. Thank you!”
Renee

“Mathhelp was very helpful, easy to use, and very understandable. I never had algebra or geometry in high school so I struggled with passing the NES math test until I purchased Mathhelp. After using your site, I scored much higher than needed. Thank you for offering great NES math prep.” Trina

“I used your NES math prep course.  I hadn’t taken any math in years, and what little I had originally learned I had forgotten.  Your system is so easy for an adult like my to go through at my own pace.  I seriously don’t know why math was so hard for me the first time around.  Thanks.”

Ronald

“I’m using MathHelp.com for NES math test prep.  The program has been amazing for me. The lessons are systematic and build on each other well, providing a comprehensive scope of the material in a way that is easy to follow. All the teachers in the program are helpful and easy to understand. I especially enjoyed those occasions when one of the teachers says about a problem, ‘Now don’t worry if you see this…here is how we finished the equation.’ It helps alleviate any undue anxiety over the tricky looking equation. I am sure that when I take the NES essential skills test in two weeks, I will be ready and more confident. I wouldn’t have been able to do this without Mathhelp.” Kaitlin

“I use the program to prepare for my NES middle school math teacher test. It is very helpful. Thanks.”

Laura

“It was great! I passed the NES exam!” Ingrid

“Your products are WONDERFUL! You helped my daughter finally pass the NES.” Lynda

“I’m preparing to take the NES middle grades math certification test. I love the website. I love the lessons.” Karen

“I initially used this program to pass my NES math exam. I now use this program to prepare my students to take their Pre-Algebra End of Course exam.” Steve

“Honestly, your program was awesome! It helped me so much and I felt much more confident this time around completing the math portion of the NES test because math is not my forte! It’s a great program!” Jenna

“I used the site and passed the NES elementary math on the first attempt!” Kevin

“I was able to pass the math portion on the NES on the first try.” Tiffany

“I found it very helpful and I passed the NES. If I had relied on only the books that give tips of what to study for I would not have made it, but you on the other hand had me go through the math that turned out to be the most helpful. Thank you.” Mike

“I’m using MathHelp.com for NES math test prep.  The program has been amazing for me. The lessons are systematic and build on each other well, providing a comprehensive scope of the material in a way that is easy to follow. All the teachers in the program are helpful and easy to understand. I am sure that when I take the NES essential skills test in two weeks, I will be ready and more confident. I wouldn’t have been able to do this without Mathhelp.” Kaitlyn

NES Math Scope & Sequence

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

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

CHAPTER 13: RADICAL EXPRESSIONS AND EQUATIONS

Unit 1: Simplifying Radical Expressions

Square Roots

Multiplying Square Roots

Dividing Square Roots

Unit 2: Radical Equations and Applications

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 14: 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 15: 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: PATTERNS AND 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: SOLVING EQUATIONS IN ONE VARIABLE

Unit 1: Modeling and Introduction to Equations

Introduction to Equations

Using Algebra Tiles to Model Algebraic Equations

Unit 2: Beginning Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

Unit 3: 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: Formulas

Beginning Formulas

Advanced Formulas

CHAPTER 7: SOLVING INEQUALITIES

Unit 1: Solving Linear Inequalities in One Variable

Introduction to Inequalities

Solving Inequalities

Solving and Graphing Inequalities

Unit 2: Advanced Inequalities

Combined Inequalities

Advanced Inequality Problems

CHAPTER 8: 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 Problems

Percent Increase or Decrease

Unit 5: Percent Applications

Discount

Sales Tax

Interest

CHAPTER 9: INTRODUCTION TO GEOMETRY

Unit 1: Lines, 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

Properties

Unit 4: Beginning Proof

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

CHAPTER 10: ANGLES, POLYGONS, & 3-DIMENSIONAL FIGURES

Unit 1: Triangles

Angles of a Triangle

Sides of a Triangle

Unit 2: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Vocabulary

Given Lines are Parallel

Unit 3: Polygons and Angles

Vocabulary

Sum of Interior and Exterior Angles

Regular Polygons

Quadrilaterals

Unit 4: Circles

Circles

Unit 5: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Perspective Drawings

Unit 6: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

CHAPTER 11: FUNCTIONS, GRAPHING, AND TRANSFORMATIONS

Unit 1: Functions

The Coordinate Grid

Domain and Range

Definition of a Function

Unit 2: Graphing and Functions

Evaluating and Graphing Functions

Graphing within a Given Domain

Unit 3: Graphing Lines

Graphing Lines

The Intercept Method

Graphing Inequalities in Two Variables

Unit 4: Symmetry & Transformations

Symmetry

Transformations

Reflections

Translations

Rotations

Dilations

CHAPTER 12: LINEAR CHAPTER

Unit 1: Patterns and Functions

Patterns and Table Building

Word Problems and Table Building

Unit 2: 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 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: Applications & Direct Variation

Direct Variation

Applications of Direct Variation and Linear Functions

CHAPTER 13: 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: Square Roots & Right Triangles

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 14: 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

Simulations

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

CHAPTER 1: WHOLE NUMBERS AND PROPERTIES

Unit 1: Place Value and Rounding

Place Value

Rounding

Unit 2: Exponents and Estimation

Estimating Sums and Differences

Exponents

Estimating Products and Quotients

Unit 3: Variables and Properties

Variables

Field 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

Word Problems

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

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

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 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

Translating English to Algebra

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

Introduction to Inequalities

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 TRANSFORMATIONS

Unit 1: The Rectangular Coordinate System

The Coordinate Grid

Unit 2: Congruence Transformations

Transformations

Reflections

Translations

Rotations

Unit 3: Dilations

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: Patterns and Table Building

Recognizing Patterns

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

Unit 3: Slope Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Unit 4: Interpreting Graphs and Transformations

Interpreting Graphs

Linear Parent Graph and Transformations

Unit 5: Writing Equations in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 6: Direct Variation and Applications of Linear Equatio

Direct Variation

Applications of Direct Variation and Linear Functions

Unit 7: Writing Equations of Lines

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 & Inverse Variation

Beginning Rational Equations

Advanced Rational Equations

Inverse Variation

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

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

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: More Quadrilaterals

Rectangles, Rhombuses, and Squares

Trapezoids

CHAPTER 25: SIMILARITY

Unit 1: Proportion

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)

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

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 & SURFACE AREA

Unit 1: Three-Dimensional Figures and Nets

Classifying 3-Dimensional Figures

Nets

Unit 2: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

Advanced Right Prisms

Unit 3: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

Advanced Regular Pyramids

Unit 4: Cylinders, Cones, and Spheres

Cylinders and Cones

Spheres

CHAPTER 30: DATA AND STATISTICS

Unit 1: Common Graphs and Charts

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

Simulations

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

CHAPTER 31: COORDINATE GEOMETRY

Unit 1: Segments in the Coordinate Plane

Distance Formula

Midpoint Formula

Unit 2: Circles in the Coordinate Plane

Equation of a Circle

CHAPTER 32: NEGATIVE & RATIONAL EXPONENTS

Unit 1: Simplifying Expressions with Negative Exponents

Negative Exponents

Negative Exponent Rules

Multiplying and Dividing with Negative Exponents

Unit 2: Operations with Scientific Notation

Multiplying and Dividing Scientific Notation

Unit 3: Rational Exponents and Radical Expressions

Rational Exponents

Fractional Exponents

Writing Radicals in Exponential Form

Unit 4: Equations with Rational Exponents and Simplifying with Radical Exponents

Solving Equations with Rational Exponents

Radical Exponents

CHAPTER 33: COMPOSITE FUNCTIONS & INVERSES

Unit 1: Composite Functions

Composite Functions: f(g(x)) and g(f(x))

Unit 2: Inverses

Inverse Relations

Inverse Functions

CHAPTER 34: LOGARITHMS & EXPONENTIAL FUNCTIONS

Unit 1: Introduction to Logarithms

Logarithms and Logarithmic Functions

Solving Logarithmic Equations

Unit 2: Properties of Logarithms

Logarithm Rules and Properties

Evaluating Logarithms by Condensing or Expanding

Solving Advanced Log Equations

Unit 3: Evaluating Logarithms with a Calculator

Log Calculator Problems

Unit 4: Exponential Equations and Logarithms

Exponential Equations and Change of Base Formula

Exponential Growth and Decay

Half Life Formula and Doubling Time Formula

Unit 5: The Natural Logarithm

Natural Logarithms

Solving Natural Logarithm Equations with ln and e