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ORELA Mathematics: Practice & Study Guide

Expert Contributor: Luke Winspur

Updated May 30, 2023

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Course type: Self-paced
Available Lessons: 447
Average Lesson Length: 8 min
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chapter 1 / lesson 1
What are the Different Types of Numbers?

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Course Summary

Oregon has replaced the ORELA Mathematics exam with the National Evaluation Series (NES) Mathematics test. This course offers engaging video lessons and brief quizzes with questions similar to those found on the exam to help you quickly and easily get up to speed. You can also use the [NES Mathematics Study Guide|https://study.com/academy/course/nes-mathematics-test-practice-study-guide.html] to prepare.

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What are the Different Types of Numbers?

ORELA Mathematics: Practice & Study Guide • 530K views • 7 min

About this course:

45 hours of educational videos

447 self-paced lessons

58 practice tests

Expert Contributor: Luke Winspur

Luke has taught high school algebra and geometry, college calculus, and has a master's degree in education.

58 chapters in ORELA Mathematics: Practice & Study Guide

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ORELA Mathematics: Practice & Study Guide

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Ch 1. ORELA Math: Properties of Real Numbers

	Best Score
Lesson 1 - What are the Different Types of Numbers? What are the Different Types of Numbers?	Video Take Quiz
There are different types or families of numbers. Learn how to identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.		Take Quiz
Lesson 2 - Graphing Rational Numbers on a Number Line Graphing Rational Numbers on a Number Line	Video Take Quiz
Lesson 3 - The Commutative Property: Definition and Examples The Commutative Property: Definition and Examples	Video Take Quiz
Lesson 4 - The Associative Property: Definition and Examples The Associative Property: Definition and Examples	Video Take Quiz
Lesson 5 - The Multiplication Property of Zero: Definition & Examples The Multiplication Property of Zero: Definition & Examples	Video Take Quiz
Lesson 6 - How to Find the Greatest Common Factor How to Find the Greatest Common Factor	Video Take Quiz
Lesson 7 - How to Find the Least Common Multiple How to Find the Least Common Multiple	Video Take Quiz
Lesson 8 - What Is The Order of Operations in Math? - Definition & Examples What Is The Order of Operations in Math? - Definition & Examples	Video Take Quiz
Lesson 9 - How to Find the Prime Factorization of a Number How to Find the Prime Factorization of a Number	Video Take Quiz

Ch 2. ORELA Math: Fractions

			Course Progress	Best Score
	Lesson 1 - How to Build and Reduce Fractions How to Build and Reduce Fractions			Video Take Quiz
	Lesson 2 - How to Find Least Common Denominators How to Find Least Common Denominators			Video Take Quiz
	Lesson 3 - Changing Between Improper Fraction and Mixed Number Form Changing Between Improper Fraction and Mixed Number Form			Video Take Quiz
	Lesson 4 - How to Add and Subtract Like Fractions and Mixed Numbers How to Add and Subtract Like Fractions and Mixed Numbers			Video Take Quiz
	Lesson 5 - How to Add and Subtract Unlike Fractions and Mixed Numbers How to Add and Subtract Unlike Fractions and Mixed Numbers			Video Take Quiz
	Lesson 6 - Multiplying Fractions and Mixed Numbers Multiplying Fractions and Mixed Numbers			Video Take Quiz
	Lesson 7 - Dividing Fractions and Mixed Numbers Dividing Fractions and Mixed Numbers			Video Take Quiz

Ch 3. ORELA Math: Decimals & Percents

			Course Progress	Best Score
	Lesson 1 - What is a Decimal Place Value? What is a Decimal Place Value?			Video Take Quiz
	Lesson 2 - Adding and Subtracting Decimals: Examples & Word Problems Adding and Subtracting Decimals: Examples & Word Problems			Video Take Quiz
	Lesson 3 - Multiplying and Dividing Decimals: Examples & Word Problems Multiplying and Dividing Decimals: Examples & Word Problems			Video Take Quiz
	Lesson 4 - How to Round Decimals How to Round Decimals			Video Take Quiz
	Lesson 5 - Percents: Definition, Application & Examples Percents: Definition, Application & Examples			Video Take Quiz
	Lesson 6 - How to Solve Interest Problems: Steps & Examples How to Solve Interest Problems: Steps & Examples			Video Take Quiz
	Lesson 7 - Taxes & Discounts: Calculations & Examples Taxes & Discounts: Calculations & Examples			Video Take Quiz

Ch 4. ORELA Math: Ratios & Proportions

			Course Progress	Best Score
	Lesson 1 - Ratios & Rates: Definitions & Examples Ratios & Rates: Definitions & Examples			Video Take Quiz
	Lesson 2 - Finding Constant and Average Rates Finding Constant and Average Rates			Video Take Quiz
	Lesson 3 - Proportion: Definition, Application & Examples Proportion: Definition, Application & Examples			Video Take Quiz
	Lesson 4 - Calculations with Ratios and Proportions Calculations with Ratios and Proportions			Video Take Quiz
	Lesson 5 - Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures			Video Take Quiz

Ch 5. ORELA Math: Units of Measure & Conversions

			Course Progress	Best Score
	Lesson 1 - Standard Units of Measurement for Length, Weight, Time & Capacity Standard Units of Measurement for Length, Weight, Time & Capacity			Video Take Quiz
	Lesson 2 - How to Convert Standard Units of Measure How to Convert Standard Units of Measure			Video Take Quiz
	Lesson 3 - The Metric System: Units and Conversion The Metric System: Units and Conversion			Video Take Quiz
	Lesson 4 - How to Convert Units in the Metric System How to Convert Units in the Metric System			Video Take Quiz
	Lesson 5 - Unit Conversion and Dimensional Analysis Unit Conversion and Dimensional Analysis			Video Take Quiz
	Lesson 6 - Exchange Rates & Currency Conversion Exchange Rates & Currency Conversion			Video Take Quiz
	Lesson 7 - Accuracy & Error in Measurements Accuracy & Error in Measurements			Text Lesson Take Quiz
	Lesson 8 - Scientific Notation: Definition and Examples Scientific Notation: Definition and Examples			Video Take Quiz

Ch 6. ORELA Math: Logic

			Course Progress	Best Score
	Lesson 1 - Critical Thinking and Logic in Mathematics Critical Thinking and Logic in Mathematics			Video Take Quiz
	Lesson 2 - Propositions, Truth Values and Truth Tables Propositions, Truth Values and Truth Tables			Video Take Quiz
	Lesson 3 - Logical Math Connectors: Conjunctions and Disjunctions Logical Math Connectors: Conjunctions and Disjunctions			Video Take Quiz
	Lesson 4 - Conditional Statements in Math Conditional Statements in Math			Video Take Quiz
	Lesson 5 - Logic Laws: Converse, Inverse, Contrapositive & Counterexample Logic Laws: Converse, Inverse, Contrapositive & Counterexample			Video Take Quiz

Ch 7. ORELA Math: Reasoning

			Course Progress	Best Score
	Lesson 1 - Reasoning in Mathematics: Inductive and Deductive Reasoning Reasoning in Mathematics: Inductive and Deductive Reasoning			Video Take Quiz
	Lesson 2 - Reasoning in Mathematics: Connective Reasoning Reasoning in Mathematics: Connective Reasoning			Video Take Quiz
	Lesson 3 - Mathematical Principles for Problem Solving Mathematical Principles for Problem Solving			Video Take Quiz
	Lesson 4 - Solving Problems With the Guess, Check & Revise Method Solving Problems With the Guess, Check & Revise Method			Text Lesson Take Quiz
	Lesson 5 - Solving Mathematical Problems Using Estimation Solving Mathematical Problems Using Estimation			Video Take Quiz
	Lesson 6 - Using Mathematical Models to Solve Problems Using Mathematical Models to Solve Problems			Video Take Quiz

Ch 8. ORELA Math: Vector Operations

			Course Progress	Best Score
	Lesson 1 - What Is a Vector? - Definition & Types What Is a Vector? - Definition & Types			Video Take Quiz
	Lesson 2 - Vector Addition (Geometric Approach): Explanation & Examples Vector Addition (Geometric Approach): Explanation & Examples			Video Take Quiz
	Lesson 3 - Vector Subtraction (Geometric): Formula & Examples Vector Subtraction (Geometric): Formula & Examples			Video Take Quiz
	Lesson 4 - Resultants of Vectors: Definition & Calculation Resultants of Vectors: Definition & Calculation			Video Take Quiz
	Lesson 5 - Scalar Multiplication of Vectors: Definition & Calculations Scalar Multiplication of Vectors: Definition & Calculations			Video Take Quiz

Ch 9. ORELA Math: Matrix Operations & Determinants

			Course Progress	Best Score
	Lesson 1 - What is a Matrix? What is a Matrix?			Video Take Quiz
	Lesson 2 - How to Perform Matrix Row Operations How to Perform Matrix Row Operations			Video Take Quiz
	Lesson 3 - Matrix Notation, Equal Matrices & Math Operations with Matrices Matrix Notation, Equal Matrices & Math Operations with Matrices			Video Take Quiz
	Lesson 4 - Multiplicative Inverses of Matrices and Matrix Equations Multiplicative Inverses of Matrices and Matrix Equations			Video Take Quiz
	Lesson 5 - How to Solve Inverse Matrices How to Solve Inverse Matrices			Video Take Quiz
	Lesson 6 - How to Take a Determinant of a Matrix How to Take a Determinant of a Matrix			Video Take Quiz

Ch 10. ORELA Math: Exponents & Exponential Expressions

			Course Progress	Best Score
	Lesson 1 - Exponential Expressions & The Order of Operations Exponential Expressions & The Order of Operations			Video Take Quiz
	Lesson 2 - What Are the Five Main Exponent Properties? What Are the Five Main Exponent Properties?			Video Take Quiz
	Lesson 3 - The Power of Zero: Simplifying Exponential Expressions The Power of Zero: Simplifying Exponential Expressions			Video Take Quiz
	Lesson 4 - Negative Exponents: Writing Powers of Fractions and Decimals Negative Exponents: Writing Powers of Fractions and Decimals			Video Take Quiz
	Lesson 5 - Simplifying and Solving Exponential Expressions Simplifying and Solving Exponential Expressions			Video Take Quiz
	Lesson 6 - Rational Exponents Rational Exponents			Video Take Quiz
	Lesson 7 - Simplifying Expressions with Rational Exponents Simplifying Expressions with Rational Exponents			Video Take Quiz

Ch 11. ORELA Math: Algebraic Expressions

			Course Progress	Best Score
	Lesson 1 - Understanding and Evaluating Math Formulas Understanding and Evaluating Math Formulas			Video Take Quiz
	Lesson 2 - Expressing Relationships as Algebraic Expressions Expressing Relationships as Algebraic Expressions			Video Take Quiz
	Lesson 3 - Evaluating Simple Algebraic Expressions Evaluating Simple Algebraic Expressions			Video Take Quiz
	Lesson 4 - The Distributive Property and Algebraic Expressions The Distributive Property and Algebraic Expressions			Video Take Quiz
	Lesson 5 - Combining Like Terms in Algebraic Expressions Combining Like Terms in Algebraic Expressions			Video Take Quiz
	Lesson 6 - Practice Simplifying Algebraic Expressions Practice Simplifying Algebraic Expressions			Video Take Quiz
	Lesson 7 - Negative Signs and Simplifying Algebraic Expressions Negative Signs and Simplifying Algebraic Expressions			Video Take Quiz

Ch 12. ORELA Math: Linear Equations

			Course Progress	Best Score
	Lesson 1 - Linear Equations: Intercepts, Standard Form and Graphing Linear Equations: Intercepts, Standard Form and Graphing			Video Take Quiz
	Lesson 2 - How to Find and Apply The Slope of a Line How to Find and Apply The Slope of a Line			Video Take Quiz
	Lesson 3 - How to Find and Apply the Intercepts of a Line How to Find and Apply the Intercepts of a Line			Video Take Quiz
	Lesson 4 - Graphing Undefined Slope, Zero Slope and More Graphing Undefined Slope, Zero Slope and More			Video Take Quiz
	Lesson 5 - Equation of a Line Using Point-Slope Formula Equation of a Line Using Point-Slope Formula			Video Take Quiz
	Lesson 6 - Defining, Translating, & Solving One-Step Equations Defining, Translating, & Solving One-Step Equations			Video Take Quiz
	Lesson 7 - Solving Equations Using the Addition Principle Solving Equations Using the Addition Principle			Video Take Quiz
	Lesson 8 - Solving Equations Using the Multiplication Principle Solving Equations Using the Multiplication Principle			Video Take Quiz
	Lesson 9 - Collecting Like Terms On One Side of an Equation Collecting Like Terms On One Side of an Equation			Video Take Quiz
	Lesson 10 - Solving Equations with Infinite Solutions or No Solutions Solving Equations with Infinite Solutions or No Solutions			Video Take Quiz
	Lesson 11 - How to Solve Equations with Multiple Steps How to Solve Equations with Multiple Steps			Video Take Quiz

Ch 13. ORELA Math: Inequalities

			Course Progress	Best Score
	Lesson 1 - What is an Inequality? What is an Inequality?			Video Take Quiz
	Lesson 2 - Solving Linear Inequalities: Practice Problems Solving Linear Inequalities: Practice Problems			Video Take Quiz
	Lesson 3 - How to Graph 1- and 2-Variable Inequalities How to Graph 1- and 2-Variable Inequalities			Video Take Quiz
	Lesson 4 - Set Notation, Compound Inequalities, and Systems of Inequalities Set Notation, Compound Inequalities, and Systems of Inequalities			Video Take Quiz
	Lesson 5 - The Absolute-Value Inequality: Definition & Example The Absolute-Value Inequality: Definition & Example			Video Take Quiz
	Lesson 6 - How to Solve and Graph an Absolute Value Inequality How to Solve and Graph an Absolute Value Inequality			Video Take Quiz
	Lesson 7 - Graphing & Solving Quadratic Inequalities: Examples & Process Graphing & Solving Quadratic Inequalities: Examples & Process			Video Take Quiz
	Lesson 8 - Graphing a System of Quadratic Inequalities: Examples & Process Graphing a System of Quadratic Inequalities: Examples & Process			Video Take Quiz

Ch 14. ORELA Math: Absolute Value

			Course Progress	Best Score
	Lesson 1 - What is an Absolute Value? What is an Absolute Value?			Video Take Quiz
	Lesson 2 - Finding the Absolute Value of a Real Number Finding the Absolute Value of a Real Number			Video Take Quiz
	Lesson 3 - Solving Absolute Value Practice Problems Solving Absolute Value Practice Problems			Video Take Quiz
	Lesson 4 - How to Graph an Absolute Value and Do Transformations How to Graph an Absolute Value and Do Transformations			Video Take Quiz
	Lesson 5 - Graphing Absolute Value Equations: Dilations & Reflections Graphing Absolute Value Equations: Dilations & Reflections			Video Take Quiz

Ch 15. ORELA Math: Quadratic Equations

			Course Progress	Best Score
	Lesson 1 - Parabolas in Standard, Intercept, and Vertex Form Parabolas in Standard, Intercept, and Vertex Form			Video Take Quiz
	Lesson 2 - Multiplying Binomials Using FOIL and the Area Method Multiplying Binomials Using FOIL and the Area Method			Video Take Quiz
	Lesson 3 - How to Factor Quadratic Equations: FOIL in Reverse How to Factor Quadratic Equations: FOIL in Reverse			Video Take Quiz
	Lesson 4 - How to Complete the Square How to Complete the Square			Video Take Quiz
	Lesson 5 - How to Solve a Quadratic Equation by Factoring How to Solve a Quadratic Equation by Factoring			Video Take Quiz
	Lesson 6 - How to Use the Quadratic Formula to Solve a Quadratic Equation How to Use the Quadratic Formula to Solve a Quadratic Equation			Video Take Quiz
	Lesson 7 - How to Solve Quadratics That Are Not in Standard Form How to Solve Quadratics That Are Not in Standard Form			Video Take Quiz

Ch 16. ORELA Math: Polynomials

			Course Progress	Best Score
	Lesson 1 - How to Add, Subtract and Multiply Polynomials How to Add, Subtract and Multiply Polynomials			Video Take Quiz
	Lesson 2 - Operations with Polynomials in Several Variables Operations with Polynomials in Several Variables			Video Take Quiz
	Lesson 3 - How to Divide Polynomials with Long Division How to Divide Polynomials with Long Division			Video Take Quiz
	Lesson 4 - How to Use Synthetic Division to Divide Polynomials How to Use Synthetic Division to Divide Polynomials			Video Take Quiz
	Lesson 5 - Remainder Theorem & Factor Theorem: Definition & Examples Remainder Theorem & Factor Theorem: Definition & Examples			Video Take Quiz
	Lesson 6 - Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division			Video Take Quiz
	Lesson 7 - Fundamental Theorem of Algebra: Explanation and Example Fundamental Theorem of Algebra: Explanation and Example			Video Take Quiz
	Lesson 8 - Understanding Basic Polynomial Graphs Understanding Basic Polynomial Graphs			Video Take Quiz
	Lesson 9 - Basic Transformations of Polynomial Graphs Basic Transformations of Polynomial Graphs			Video Take Quiz
	Lesson 10 - The Binomial Theorem: Defining Expressions The Binomial Theorem: Defining Expressions			Video Take Quiz

Ch 17. ORELA Math: Rational Expressions

			Course Progress	Best Score
	Lesson 1 - How to Multiply and Divide Rational Expressions How to Multiply and Divide Rational Expressions			Video Take Quiz
	Lesson 2 - How to Add and Subtract Rational Expressions How to Add and Subtract Rational Expressions			Video Take Quiz
	Lesson 3 - How to Solve a Rational Equation How to Solve a Rational Equation			Video Take Quiz
	Lesson 4 - Division and Reciprocals of Rational Expressions Division and Reciprocals of Rational Expressions			Video Take Quiz
	Lesson 5 - Simplifying Complex Rational Expressions Simplifying Complex Rational Expressions			Video Take Quiz
	Lesson 6 - Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range			Video Take Quiz

Ch 18. ORELA Math: Radical Expressions

			Course Progress	Best Score
	Lesson 1 - How to Find the Square Root of a Number How to Find the Square Root of a Number			Video Take Quiz
	Lesson 2 - Simplifying Square Roots When not a Perfect Square Simplifying Square Roots When not a Perfect Square			Video Take Quiz
	Lesson 3 - Simplifying Expressions Containing Square Roots Simplifying Expressions Containing Square Roots			Video Take Quiz
	Lesson 4 - Factoring Radical Expressions Factoring Radical Expressions			Video Take Quiz
	Lesson 5 - Multiplying then Simplifying Radical Expressions Multiplying then Simplifying Radical Expressions			Video Take Quiz
	Lesson 6 - Dividing Radical Expressions Dividing Radical Expressions			Video Take Quiz
	Lesson 7 - Rationalizing Denominators in Radical Expressions Rationalizing Denominators in Radical Expressions			Video Take Quiz
	Lesson 8 - Addition and Subtraction Using Radical Notation Addition and Subtraction Using Radical Notation			Video Take Quiz

Ch 19. ORELA Math: Systems of Equations

			Course Progress	Best Score
	Lesson 1 - How to Solve a System of Linear Equations in Two Variables How to Solve a System of Linear Equations in Two Variables			Video Take Quiz
	Lesson 2 - How to Solve a Linear System in Three Variables With a Solution How to Solve a Linear System in Three Variables With a Solution			Video Take Quiz
	Lesson 3 - How to Solve a Linear System in Three Variables With No or Infinite Solutions How to Solve a Linear System in Three Variables With No or Infinite Solutions			Video Take Quiz
	Lesson 4 - How to Write an Augmented Matrix for a Linear System How to Write an Augmented Matrix for a Linear System			Video Take Quiz
	Lesson 5 - Solving Systems of Linear Equations in Two Variables Using Determinants Solving Systems of Linear Equations in Two Variables Using Determinants			Video Take Quiz
	Lesson 6 - Solving Systems of Linear Equations in Three Variables Using Determinants Solving Systems of Linear Equations in Three Variables Using Determinants			Video Take Quiz
	Lesson 7 - Solving Systems of Nonlinear Equations in Two Variables Solving Systems of Nonlinear Equations in Two Variables			Text Lesson Take Quiz

Ch 20. ORELA Math: Complex Numbers

			Course Progress	Best Score
	Lesson 1 - What is an Imaginary Number? What is an Imaginary Number?			Video Take Quiz
	Lesson 2 - How to Divide Complex Numbers How to Divide Complex Numbers			Video Take Quiz
	Lesson 3 - How to Add, Subtract and Multiply Complex Numbers How to Add, Subtract and Multiply Complex Numbers			Video Take Quiz
	Lesson 4 - How to Graph a Complex Number on the Complex Plane How to Graph a Complex Number on the Complex Plane			Video Take Quiz
	Lesson 5 - Complex Numbers in Polar Form: Process & Examples Complex Numbers in Polar Form: Process & Examples			Video Take Quiz

Ch 21. ORELA Math: Functions

			Course Progress	Best Score
	Lesson 1 - Compare Properties of Functions Algebraically Compare Properties of Functions Algebraically			Video Take Quiz
	Lesson 2 - Compare Properties of Functions Graphically Compare Properties of Functions Graphically			Video Take Quiz
	Lesson 3 - Compare Properties of Functions Numerically Compare Properties of Functions Numerically			Video Take Quiz
	Lesson 4 - Transformations: How to Shift Graphs on a Plane Transformations: How to Shift Graphs on a Plane			Video Take Quiz
	Lesson 5 - What Is Domain and Range in a Function? What Is Domain and Range in a Function?			Video Take Quiz
	Lesson 6 - How to Add, Subtract, Multiply and Divide Functions How to Add, Subtract, Multiply and Divide Functions			Video Take Quiz
	Lesson 7 - How to Compose Functions How to Compose Functions			Video Take Quiz
	Lesson 8 - Domain & Range of Composite Functions: Definition & Examples Domain & Range of Composite Functions: Definition & Examples			Video Take Quiz
	Lesson 9 - Compounding Functions and Graphing Functions of Functions Compounding Functions and Graphing Functions of Functions			Video Take Quiz
	Lesson 10 - Inverse Functions Inverse Functions			Video Take Quiz
	Lesson 11 - Understanding and Graphing the Inverse Function Understanding and Graphing the Inverse Function			Video Take Quiz
	Lesson 12 - Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis			Video Take Quiz
	Lesson 13 - Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin			Video Take Quiz
	Lesson 14 - Even & Odd Functions: Definition & Examples Even & Odd Functions: Definition & Examples			Video Take Quiz

Ch 22. ORELA Math: Piecewise Functions

			Course Progress	Best Score
	Lesson 1 - What are Piecewise Functions? What are Piecewise Functions?			Video Take Quiz
	Lesson 2 - How to Find the Domain of Piecewise Functions How to Find the Domain of Piecewise Functions			Video Take Quiz
	Lesson 3 - How to Graph Piecewise Functions How to Graph Piecewise Functions			Video Take Quiz
	Lesson 4 - Translating Piecewise Functions Translating Piecewise Functions			Video Take Quiz

Ch 23. ORELA Math: Exponential & Logarithmic Functions

			Course Progress	Best Score
	Lesson 1 - What Is an Exponential Function? What Is an Exponential Function?			Video Take Quiz
	Lesson 2 - Exponential Growth vs. Decay Exponential Growth vs. Decay			Video Take Quiz
	Lesson 3 - Compounding Interest Formulas: Calculations & Examples Compounding Interest Formulas: Calculations & Examples			Video Take Quiz
	Lesson 4 - What is a Logarithm? What is a Logarithm?			Video Take Quiz
	Lesson 5 - How to Evaluate Logarithms How to Evaluate Logarithms			Video Take Quiz
	Lesson 6 - Logarithmic Properties Logarithmic Properties			Video Take Quiz
	Lesson 7 - Practice Problems for Logarithmic Properties Practice Problems for Logarithmic Properties			Video Take Quiz
	Lesson 8 - How to Solve Exponential Equations How to Solve Exponential Equations			Video Take Quiz
	Lesson 9 - How to Solve Logarithmic Equations How to Solve Logarithmic Equations			Video Take Quiz
	Lesson 10 - How to Graph Logarithms: Transformations and Effects on Domain/Range How to Graph Logarithms: Transformations and Effects on Domain/Range			Video Take Quiz
	Lesson 11 - Transformation of Exponential Functions: Examples & Summary Transformation of Exponential Functions: Examples & Summary			Video Take Quiz
	Lesson 12 - Using the Change-of-Base Formula for Logarithms: Definition & Example Using the Change-of-Base Formula for Logarithms: Definition & Example			Video Take Quiz

Ch 24. ORELA Math: Continuity of a Function

			Course Progress	Best Score
	Lesson 1 - Continuity in a Function Continuity in a Function			Video Take Quiz
	Lesson 2 - Discontinuities in Functions and Graphs Discontinuities in Functions and Graphs			Video Take Quiz
	Lesson 3 - Regions of Continuity in a Function Regions of Continuity in a Function			Video Take Quiz

Ch 25. ORELA Math: Limits

			Course Progress	Best Score
	Lesson 1 - Understanding Limits: Using Notation Understanding Limits: Using Notation			Video Take Quiz
	Lesson 2 - How to Determine the Limits of Functions How to Determine the Limits of Functions			Video Take Quiz
	Lesson 3 - Using a Graph to Define Limits Using a Graph to Define Limits			Video Take Quiz
	Lesson 4 - One-Sided Limits and Continuity One-Sided Limits and Continuity			Video Take Quiz

Ch 26. ORELA Math: Rate of Change

			Course Progress	Best Score
	Lesson 1 - Slopes and Rate of Change Slopes and Rate of Change			Video Take Quiz
	Lesson 2 - Average and Instantaneous Rates of Change Average and Instantaneous Rates of Change			Video Take Quiz
	Lesson 3 - What is the Mean Value Theorem? What is the Mean Value Theorem?			Video Take Quiz
	Lesson 4 - Rolle's Theorem: A Special Case of the Mean Value Theorem Rolle's Theorem: A Special Case of the Mean Value Theorem			Video Take Quiz
	Lesson 5 - Derivatives: The Formal Definition Derivatives: The Formal Definition			Video Take Quiz
	Lesson 6 - Derivatives: Graphical Representations Derivatives: Graphical Representations			Video Take Quiz
	Lesson 7 - What It Means To Be 'Differentiable' What It Means To Be 'Differentiable'			Video Take Quiz

Ch 27. ORELA Math: Calculating Derivatives & Derivative Rules

			Course Progress	Best Score
	Lesson 1 - Using Limits to Calculate the Derivative Using Limits to Calculate the Derivative			Video Take Quiz
	Lesson 2 - The Linear Properties of a Derivative The Linear Properties of a Derivative			Video Take Quiz
	Lesson 3 - Using the Chain Rule to Differentiate Complex Functions Using the Chain Rule to Differentiate Complex Functions			Video Take Quiz
	Lesson 4 - Differentiating Factored Polynomials: Product Rule and Expansion Differentiating Factored Polynomials: Product Rule and Expansion			Video Take Quiz
	Lesson 5 - When to Use the Quotient Rule for Differentiation When to Use the Quotient Rule for Differentiation			Video Take Quiz

Ch 28. ORELA Math: Graphing Derivatives

			Course Progress	Best Score
	Lesson 1 - Graphing the Derivative from Any Function Graphing the Derivative from Any Function			Video Take Quiz
	Lesson 2 - Non Differentiable Graphs of Derivatives Non Differentiable Graphs of Derivatives			Video Take Quiz
	Lesson 3 - How to Determine Maximum and Minimum Values of a Graph How to Determine Maximum and Minimum Values of a Graph			Video Take Quiz
	Lesson 4 - Using Differentiation to Find Maximum and Minimum Values Using Differentiation to Find Maximum and Minimum Values			Video Take Quiz
	Lesson 5 - Concavity and Inflection Points on Graphs Concavity and Inflection Points on Graphs			Video Take Quiz
	Lesson 6 - Understanding Concavity and Inflection Points with Differentiation Understanding Concavity and Inflection Points with Differentiation			Video Take Quiz

Ch 29. ORELA Math: Applications of Derivatives

			Course Progress	Best Score
	Lesson 1 - Optimization and Differentiation Optimization and Differentiation			Video Take Quiz
	Lesson 2 - Optimizing Simple Systems Optimizing Simple Systems			Video Take Quiz
	Lesson 3 - Optimizing Complex Systems Optimizing Complex Systems			Video Take Quiz

Ch 30. ORELA Math: Area Under the Curve & Integrals

			Course Progress	Best Score
	Lesson 1 - How to Use Riemann Sums for Functions and Graphs How to Use Riemann Sums for Functions and Graphs			Video Take Quiz
	Lesson 2 - How to Find the Limits of Riemann Sums How to Find the Limits of Riemann Sums			Video Take Quiz
	Lesson 3 - Definite Integrals: Definition Definite Integrals: Definition			Video Take Quiz
	Lesson 4 - How to Use Riemann Sums to Calculate Integrals How to Use Riemann Sums to Calculate Integrals			Video Take Quiz
	Lesson 5 - Linear Properties of Definite Integrals Linear Properties of Definite Integrals			Video Take Quiz
	Lesson 6 - Average Value Theorem Average Value Theorem			Video Take Quiz
	Lesson 7 - The Fundamental Theorem of Calculus The Fundamental Theorem of Calculus			Video Take Quiz
	Lesson 8 - Indefinite Integrals as Anti Derivatives Indefinite Integrals as Anti Derivatives			Video Take Quiz

Ch 31. ORELA Math: Integration Techniques

			Course Progress	Best Score
	Lesson 1 - Calculating Integrals of Simple Shapes Calculating Integrals of Simple Shapes			Video Take Quiz
	Lesson 2 - Anti-Derivatives: Calculating Indefinite Integrals of Polynomials Anti-Derivatives: Calculating Indefinite Integrals of Polynomials			Video Take Quiz
	Lesson 3 - How to Solve Integrals Using Substitution How to Solve Integrals Using Substitution			Video Take Quiz
	Lesson 4 - Using Integration By Parts Using Integration By Parts			Video Take Quiz

Ch 32. ORELA Math: Applications of Integration

			Course Progress	Best Score
	Lesson 1 - Integration and Dynamic Motion Integration and Dynamic Motion			Video Take Quiz
	Lesson 2 - How to Calculate Volumes Using Single Integrals How to Calculate Volumes Using Single Integrals			Video Take Quiz
	Lesson 3 - How to Find Volumes of Revolution With Integration How to Find Volumes of Revolution With Integration			Video Take Quiz

Ch 33. ORELA Math: Foundations of Geometry

			Course Progress	Best Score
	Lesson 1 - The Axiomatic System: Definition & Properties The Axiomatic System: Definition & Properties			Video Take Quiz
	Lesson 2 - Undefined Terms of Geometry: Concepts & Significance Undefined Terms of Geometry: Concepts & Significance			Video Take Quiz
	Lesson 3 - Properties and Postulates of Geometric Figures Properties and Postulates of Geometric Figures			Video Take Quiz
	Lesson 4 - Algebraic Laws and Geometric Postulates Algebraic Laws and Geometric Postulates			Video Take Quiz

Ch 34. ORELA Math: Geometric Figures

			Course Progress	Best Score
	Lesson 1 - Line Segments & Rays: Definition & Measurement Line Segments & Rays: Definition & Measurement			Video Take Quiz
	Lesson 2 - Points, Lines & Angles in Geometry Points, Lines & Angles in Geometry			Video Take Quiz
	Lesson 3 - Geometric Constructions Using Lines and Angles Geometric Constructions Using Lines and Angles			Video Take Quiz
	Lesson 4 - Line Segment Bisection & Midpoint Theorem: Geometric Construction Line Segment Bisection & Midpoint Theorem: Geometric Construction			Video Take Quiz
	Lesson 5 - Dividing Line Segments into Equal Parts: Geometric Construction Dividing Line Segments into Equal Parts: Geometric Construction			Video Take Quiz
	Lesson 6 - Parallel, Perpendicular and Transverse Lines Parallel, Perpendicular and Transverse Lines			Video Take Quiz
	Lesson 7 - Types of Angles: Vertical, Corresponding, Alternate Interior & Others Types of Angles: Vertical, Corresponding, Alternate Interior & Others			Video Take Quiz
	Lesson 8 - Constructing an Angle Bisector in Geometry Constructing an Angle Bisector in Geometry			Video Take Quiz
	Lesson 9 - Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles			Video Take Quiz

Ch 35. ORELA Math: Properties of Triangles

			Course Progress	Best Score
	Lesson 1 - Triangles: Definition and Properties Triangles: Definition and Properties			Video Take Quiz
	Lesson 2 - Area of Triangles and Rectangles Area of Triangles and Rectangles			Video Take Quiz
	Lesson 3 - Classifying Triangles by Angles and Sides Classifying Triangles by Angles and Sides			Video Take Quiz
	Lesson 4 - Perimeter of Triangles and Rectangles Perimeter of Triangles and Rectangles			Video Take Quiz
	Lesson 5 - Interior and Exterior Angles of Triangles: Definition & Examples Interior and Exterior Angles of Triangles: Definition & Examples			Video Take Quiz
	Lesson 6 - How to Identify Similar Triangles How to Identify Similar Triangles			Video Take Quiz
	Lesson 7 - Median, Altitude, and Angle Bisectors of a Triangle Median, Altitude, and Angle Bisectors of a Triangle			Video Take Quiz
	Lesson 8 - Properties of Concurrent Lines in a Triangle Properties of Concurrent Lines in a Triangle			Video Take Quiz
	Lesson 9 - Properties of Right Triangles: Theorems & Proofs Properties of Right Triangles: Theorems & Proofs			Video Take Quiz
	Lesson 10 - The Pythagorean Theorem: Practice and Application The Pythagorean Theorem: Practice and Application			Video Take Quiz
	Lesson 11 - The Pythagorean Theorem: Converse and Special Cases The Pythagorean Theorem: Converse and Special Cases			Video Take Quiz

Ch 36. ORELA Math: Triangle Theorems & Proofs

			Course Progress	Best Score
	Lesson 1 - Triangle Congruence Postulates: SAS, ASA & SSS Triangle Congruence Postulates: SAS, ASA & SSS			Video Take Quiz
	Lesson 2 - Congruence Proofs: Corresponding Parts of Congruent Triangles Congruence Proofs: Corresponding Parts of Congruent Triangles			Video Take Quiz
	Lesson 3 - Converse of a Statement: Explanation and Example Converse of a Statement: Explanation and Example			Video Take Quiz
	Lesson 4 - Practice Proving Relationships using Congruence & Similarity Practice Proving Relationships using Congruence & Similarity			Video Take Quiz
	Lesson 5 - The AAS (Angle-Angle-Side) Theorem: Proof and Examples The AAS (Angle-Angle-Side) Theorem: Proof and Examples			Video Take Quiz
	Lesson 6 - The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples			Video Take Quiz
	Lesson 7 - The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples			Video Take Quiz
	Lesson 8 - Perpendicular Bisector Theorem: Proof and Example Perpendicular Bisector Theorem: Proof and Example			Video Take Quiz
	Lesson 9 - Angle Bisector Theorem: Proof and Example Angle Bisector Theorem: Proof and Example			Video Take Quiz
	Lesson 10 - Congruency of Right Triangles: Definition of LA and LL Theorems Congruency of Right Triangles: Definition of LA and LL Theorems			Video Take Quiz
	Lesson 11 - Congruency of Isosceles Triangles: Proving the Theorem Congruency of Isosceles Triangles: Proving the Theorem			Video Take Quiz

Ch 37. ORELA Math: Parallel Lines & Polygons

			Course Progress	Best Score
	Lesson 1 - Angles Formed by a Transversal Angles Formed by a Transversal			Video Take Quiz
	Lesson 2 - Parallel Lines: How to Prove Lines Are Parallel Parallel Lines: How to Prove Lines Are Parallel			Video Take Quiz
	Lesson 3 - Using Converse Statements to Prove Lines Are Parallel Using Converse Statements to Prove Lines Are Parallel			Video Take Quiz
	Lesson 4 - The Parallel Postulate: Definition & Examples The Parallel Postulate: Definition & Examples			Video Take Quiz
	Lesson 5 - Regular Polygons: Definition & Parts Regular Polygons: Definition & Parts			Video Take Quiz
	Lesson 6 - How to Find the Number of Diagonals in a Polygon How to Find the Number of Diagonals in a Polygon			Video Take Quiz
	Lesson 7 - Finding the Perimeter of Polygons Finding the Perimeter of Polygons			Video Take Quiz
	Lesson 8 - Measuring the Area of Regular Polygons: Formula & Examples Measuring the Area of Regular Polygons: Formula & Examples			Video Take Quiz
	Lesson 9 - How to Measure the Angles of a Polygon & Find the Sum How to Measure the Angles of a Polygon & Find the Sum			Video Take Quiz

Ch 38. ORELA Math: Quadrilaterals

			Course Progress	Best Score
	Lesson 1 - Parallelograms: Definition, Properties, and Proof Theorems Parallelograms: Definition, Properties, and Proof Theorems			Video Take Quiz
	Lesson 2 - Measuring the Area of a Parallelogram: Formula & Examples Measuring the Area of a Parallelogram: Formula & Examples			Video Take Quiz
	Lesson 3 - Measuring the Area of a Rhombus: Formula & Examples Measuring the Area of a Rhombus: Formula & Examples			Video Take Quiz
	Lesson 4 - Rectangles: Definition, Properties & Construction Rectangles: Definition, Properties & Construction			Video Take Quiz
	Lesson 5 - Measuring the Area of a Rectangle: Formula & Examples Measuring the Area of a Rectangle: Formula & Examples			Video Take Quiz
	Lesson 6 - Squares: Definition and Properties Squares: Definition and Properties			Video Take Quiz
	Lesson 7 - Trapezoids: Definition and Properties Trapezoids: Definition and Properties			Video Take Quiz
	Lesson 8 - Measuring the Area of a Trapezoid Measuring the Area of a Trapezoid			Video Take Quiz
	Lesson 9 - Area of Complex Figures Area of Complex Figures			Video Take Quiz

Ch 39. ORELA Math: Circles & Arc of a Circle

			Course Progress	Best Score
	Lesson 1 - Circles: Area and Circumference Circles: Area and Circumference			Video Take Quiz
	Lesson 2 - Circular Arcs and Circles: Definitions and Examples Circular Arcs and Circles: Definitions and Examples			Video Take Quiz
	Lesson 3 - Central and Inscribed Angles: Definitions and Examples Central and Inscribed Angles: Definitions and Examples			Video Take Quiz
	Lesson 4 - Measure of an Arc: Process & Practice Measure of an Arc: Process & Practice			Video Take Quiz
	Lesson 5 - How to Find the Measure of an Inscribed Angle How to Find the Measure of an Inscribed Angle			Video Take Quiz
	Lesson 6 - Tangent of a Circle: Definition & Theorems Tangent of a Circle: Definition & Theorems			Video Take Quiz
	Lesson 7 - Measurements of Angles Involving Tangents, Chords & Secants Measurements of Angles Involving Tangents, Chords & Secants			Video Take Quiz
	Lesson 8 - Measurements of Lengths Involving Tangents, Chords and Secants Measurements of Lengths Involving Tangents, Chords and Secants			Video Take Quiz
	Lesson 9 - Arc Length of a Sector: Definition and Area Arc Length of a Sector: Definition and Area			Video Take Quiz

Ch 40. ORELA Math: Conic Sections

			Course Progress	Best Score
	Lesson 1 - The Focus and Directrix of a Parabola The Focus and Directrix of a Parabola			Video Take Quiz
	Lesson 2 - Finding the Equation of a Parabola from the Focus and Directrix Finding the Equation of a Parabola from the Focus and Directrix			Video Take Quiz
	Lesson 3 - Foci and the Definitions of Ellipses and Hyperbolas Foci and the Definitions of Ellipses and Hyperbolas			Video Take Quiz
	Lesson 4 - Derive the Equation of an Ellipse from the Foci Derive the Equation of an Ellipse from the Foci			Video Take Quiz
	Lesson 5 - Derive the Equation of a Hyperbola from the Foci Derive the Equation of a Hyperbola from the Foci			Video Take Quiz

Ch 41. ORELA Math: Geometric Solids

			Course Progress	Best Score
	Lesson 1 - Planes and the Polyhedron: Definition and Example Planes and the Polyhedron: Definition and Example			Video Take Quiz
	Lesson 2 - How to Calculate the Volumes of Basic Shapes How to Calculate the Volumes of Basic Shapes			Video Take Quiz
	Lesson 3 - Prisms: Definition, Area & Volume Prisms: Definition, Area & Volume			Video Take Quiz
	Lesson 4 - Pyramids: Definition, Area & Volume Pyramids: Definition, Area & Volume			Video Take Quiz
	Lesson 5 - Cylinder: Definition, Surface Area & Volume Cylinder: Definition, Surface Area & Volume			Video Take Quiz
	Lesson 6 - Cones: Definition, Area & Volume Cones: Definition, Area & Volume			Video Take Quiz
	Lesson 7 - Volume & Surface Area of a Sphere Volume & Surface Area of a Sphere			Video Take Quiz

Ch 42. ORELA Math: Analytical Geometry

			Course Progress	Best Score
	Lesson 1 - The Cartesian Coordinate System: Plotting Points & Graphing Lines The Cartesian Coordinate System: Plotting Points & Graphing Lines			Video Take Quiz
	Lesson 2 - How to Use The Midpoint Formula How to Use The Midpoint Formula			Video Take Quiz
	Lesson 3 - How to Use The Distance Formula How to Use The Distance Formula			Video Take Quiz
	Lesson 4 - Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More			Video Take Quiz
	Lesson 5 - Transformations in Math: Definition & Graph Transformations in Math: Definition & Graph			Video Take Quiz
	Lesson 6 - What is Translation in Math? - Definition, Examples, & Terms What is Translation in Math? - Definition, Examples, & Terms			Video Take Quiz

Ch 43. ORELA Math: Trigonometric Functions

			Course Progress	Best Score
	Lesson 1 - Trigonometry: Sine and Cosine Trigonometry: Sine and Cosine			Video Take Quiz
	Lesson 2 - Trigonometry and the Pythagorean Theorem Trigonometry and the Pythagorean Theorem			Video Take Quiz
	Lesson 3 - Other Trigonometric Functions: Cotangent, Secant & Cosecant Other Trigonometric Functions: Cotangent, Secant & Cosecant			Video Take Quiz
	Lesson 4 - Trigonometric Ratios and Similarity Trigonometric Ratios and Similarity			Video Take Quiz
	Lesson 5 - Unit Circle: Memorizing the First Quadrant Unit Circle: Memorizing the First Quadrant			Video Take Quiz
	Lesson 6 - Using Unit Circles to Relate Right Triangles to Sine & Cosine Using Unit Circles to Relate Right Triangles to Sine & Cosine			Video Take Quiz
	Lesson 7 - Special Right Triangles: Types and Properties Special Right Triangles: Types and Properties			Video Take Quiz
	Lesson 8 - Trigonometric Function Values of Special Angles Trigonometric Function Values of Special Angles			Video Take Quiz
	Lesson 9 - Law of Sines: Definition and Application Law of Sines: Definition and Application			Video Take Quiz
	Lesson 10 - Law of Cosines: Definition and Application Law of Cosines: Definition and Application			Video Take Quiz
	Lesson 11 - The Double Angle Formula The Double Angle Formula			Video Take Quiz

Ch 44. ORELA Math: Trigonometric Graphs

			Course Progress	Best Score
	Lesson 1 - Graphing Sine and Cosine Transformations Graphing Sine and Cosine Transformations			Video Take Quiz
	Lesson 2 - Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift			Video Take Quiz
	Lesson 3 - Graphing the Cosecant, Secant & Cotangent Functions Graphing the Cosecant, Secant & Cotangent Functions			Video Take Quiz
	Lesson 4 - Using Graphs to Determine Trigonometric Identity Using Graphs to Determine Trigonometric Identity			Video Take Quiz
	Lesson 5 - Solving a Trigonometric Equation Graphically Solving a Trigonometric Equation Graphically			Video Take Quiz

Ch 45. ORELA Math: Solving Trigonometric Equations

			Course Progress	Best Score
	Lesson 1 - How to Solve Trigonometric Equations for X How to Solve Trigonometric Equations for X			Video Take Quiz
	Lesson 2 - Solve Trigonometric Equations with Identities & Inverses Solve Trigonometric Equations with Identities & Inverses			Video Take Quiz
	Lesson 3 - Properties of Inverse Trigonometric Functions Properties of Inverse Trigonometric Functions			Video Take Quiz
	Lesson 4 - Solving Trigonometric Equations with Restricted Domains Solving Trigonometric Equations with Restricted Domains			Video Take Quiz
	Lesson 5 - Solving Trigonometric Equations with Infinite Solutions Solving Trigonometric Equations with Infinite Solutions			Video Take Quiz

Ch 46. ORELA Math: Trigonometric Identities

			Course Progress	Best Score
	Lesson 1 - Trigonometric Identities: Definition & Uses Trigonometric Identities: Definition & Uses			Video Take Quiz
	Lesson 2 - List of the Basic Trig Identities List of the Basic Trig Identities			Video Take Quiz
	Lesson 3 - Alternate Forms of Trigonometric Identities Alternate Forms of Trigonometric Identities			Video Take Quiz
	Lesson 4 - Pythagorean Identities: Uses & Applications Pythagorean Identities: Uses & Applications			Video Take Quiz
	Lesson 5 - Reciprocal Identities: Uses & Applications Reciprocal Identities: Uses & Applications			Video Take Quiz
	Lesson 6 - Double-Angle Identities: Uses & Applications Double-Angle Identities: Uses & Applications			Video Take Quiz
	Lesson 7 - Half-Angle Identities: Uses & Applications Half-Angle Identities: Uses & Applications			Video Take Quiz
	Lesson 8 - Product-to-Sum Identities: Uses & Applications Product-to-Sum Identities: Uses & Applications			Video Take Quiz
	Lesson 9 - Sum-to-Product Identities: Uses & Applications Sum-to-Product Identities: Uses & Applications			Video Take Quiz
	Lesson 10 - Verifying a Trigonometric Equation Identity Verifying a Trigonometric Equation Identity			Video Take Quiz
	Lesson 11 - Applying the Sum & Difference Identities Applying the Sum & Difference Identities			Video Take Quiz

Ch 47. ORELA Math: Sequences & Series

			Course Progress	Best Score
	Lesson 1 - Introduction to Sequences: Finite and Infinite Introduction to Sequences: Finite and Infinite			Video Take Quiz
	Lesson 2 - Arithmetic Sequences: Definition & Finding the Common Difference Arithmetic Sequences: Definition & Finding the Common Difference			Video Take Quiz
	Lesson 3 - How and Why to Use the General Term of an Arithmetic Sequence How and Why to Use the General Term of an Arithmetic Sequence			Video Take Quiz
	Lesson 4 - The Sum of the First n Terms of an Arithmetic Sequence The Sum of the First n Terms of an Arithmetic Sequence			Video Take Quiz
	Lesson 5 - Understanding Arithmetic Series in Algebra Understanding Arithmetic Series in Algebra			Video Take Quiz
	Lesson 6 - Working with Geometric Sequences Working with Geometric Sequences			Video Take Quiz
	Lesson 7 - How and Why to Use the General Term of a Geometric Sequence How and Why to Use the General Term of a Geometric Sequence			Video Take Quiz
	Lesson 8 - The Sum of the First n Terms of a Geometric Sequence The Sum of the First n Terms of a Geometric Sequence			Video Take Quiz
	Lesson 9 - Understand the Formula for Infinite Geometric Series Understand the Formula for Infinite Geometric Series			Video Take Quiz
	Lesson 10 - Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences			Video Take Quiz

Ch 48. ORELA Math: Graph Theory

			Course Progress	Best Score
	Lesson 1 - Graph Theory Concepts and Terminology Graph Theory Concepts and Terminology			Video Take Quiz
	Lesson 2 - Euler Paths and Euler's Circuits Euler Paths and Euler's Circuits			Video Take Quiz
	Lesson 3 - Mathematical Models of Euler's Circuits & Euler's Paths Mathematical Models of Euler's Circuits & Euler's Paths			Video Take Quiz
	Lesson 4 - Euler's Theorems: Circuit, Path & Sum of Degrees Euler's Theorems: Circuit, Path & Sum of Degrees			Video Take Quiz
	Lesson 5 - Fleury's Algorithm for Finding an Euler Circuit Fleury's Algorithm for Finding an Euler Circuit			Video Take Quiz
	Lesson 6 - Hamilton Circuits and Hamilton Paths Hamilton Circuits and Hamilton Paths			Video Take Quiz
	Lesson 7 - Assessing Weighted & Complete Graphs for Hamilton Circuits Assessing Weighted & Complete Graphs for Hamilton Circuits			Video Take Quiz

Ch 49. ORELA Math: Set Theory

			Course Progress	Best Score
	Lesson 1 - Mathematical Sets: Elements, Intersections & Unions Mathematical Sets: Elements, Intersections & Unions			Video Take Quiz
	Lesson 2 - Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty) Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)			Video Take Quiz
	Lesson 3 - Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union			Video Take Quiz
	Lesson 4 - Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets			Video Take Quiz
	Lesson 5 - What is a Two-Way Table? What is a Two-Way Table?			Video Take Quiz

Ch 50. ORELA Math: Statistics Overview

			Course Progress	Best Score
	Lesson 1 - Descriptive & Inferential Statistics: Definition, Differences & Examples Descriptive & Inferential Statistics: Definition, Differences & Examples			Video Take Quiz
	Lesson 2 - Difference between Populations & Samples in Statistics Difference between Populations & Samples in Statistics			Video Take Quiz
	Lesson 3 - Defining the Difference between Parameters & Statistics Defining the Difference between Parameters & Statistics			Video Take Quiz
	Lesson 4 - Estimating a Parameter from Sample Data: Process & Examples Estimating a Parameter from Sample Data: Process & Examples			Video Take Quiz
	Lesson 5 - What is Quantitative Data? - Definition & Examples What is Quantitative Data? - Definition & Examples			Video Take Quiz
	Lesson 6 - What is Categorical Data? - Definition & Examples What is Categorical Data? - Definition & Examples			Video Take Quiz
	Lesson 7 - Discrete & Continuous Data: Definition & Examples Discrete & Continuous Data: Definition & Examples			Video Take Quiz
	Lesson 8 - Nominal, Ordinal, Interval & Ratio Measurements: Definition & Examples Nominal, Ordinal, Interval & Ratio Measurements: Definition & Examples			Video Take Quiz
	Lesson 9 - The Purpose of Statistical Models The Purpose of Statistical Models			Video Take Quiz
	Lesson 10 - Experiments vs Observational Studies: Definition, Differences & Examples Experiments vs Observational Studies: Definition, Differences & Examples			Video Take Quiz
	Lesson 11 - Random Selection & Random Allocation: Differences, Benefits & Examples Random Selection & Random Allocation: Differences, Benefits & Examples			Video Take Quiz
	Lesson 12 - Convenience Sampling in Statistics: Definition & Limitations Convenience Sampling in Statistics: Definition & Limitations			Video Take Quiz

Ch 51. ORELA Math: Summarizing Data

			Course Progress	Best Score
	Lesson 1 - What is the Center in a Data Set? - Definition & Options What is the Center in a Data Set? - Definition & Options			Video Take Quiz
	Lesson 2 - Mean, Median & Mode: Measures of Central Tendency Mean, Median & Mode: Measures of Central Tendency			Video Take Quiz
	Lesson 3 - Mean, Median, Mode & Range Mean, Median, Mode & Range			Video Take Quiz
	Lesson 4 - Visual Representations of a Data Set: Shape, Symmetry & Skewness Visual Representations of a Data Set: Shape, Symmetry & Skewness			Video Take Quiz
	Lesson 5 - Measures of Dispersion and Skewness Measures of Dispersion and Skewness			Video Take Quiz
	Lesson 6 - Unimodal & Bimodal Distributions: Definition & Examples Unimodal & Bimodal Distributions: Definition & Examples			Video Take Quiz
	Lesson 7 - Spread in Data Sets: Definition & Example Spread in Data Sets: Definition & Example			Video Take Quiz
	Lesson 8 - Maximums, Minimums & Outliers in a Data Set Maximums, Minimums & Outliers in a Data Set			Video Take Quiz
	Lesson 9 - Quartiles & the Interquartile Range: Definition, Formulate & Examples Quartiles & the Interquartile Range: Definition, Formulate & Examples			Video Take Quiz
	Lesson 10 - Finding Percentiles in a Data Set: Formula & Examples Finding Percentiles in a Data Set: Formula & Examples			Video Take Quiz
	Lesson 11 - Calculating the Standard Deviation Calculating the Standard Deviation			Video Take Quiz
	Lesson 12 - The Effect of Linear Transformations on Measures of Center & Spread The Effect of Linear Transformations on Measures of Center & Spread			Video Take Quiz
	Lesson 13 - Population & Sample Variance: Definition, Formula & Examples Population & Sample Variance: Definition, Formula & Examples			Video Take Quiz

Ch 52. ORELA Math: Tables, Plots & Graphs

			Course Progress	Best Score
	Lesson 1 - Frequency & Relative Frequency Tables: Definition & Examples Frequency & Relative Frequency Tables: Definition & Examples			Video Take Quiz
	Lesson 2 - Cumulative Frequency Tables: Definition, Uses & Examples Cumulative Frequency Tables: Definition, Uses & Examples			Video Take Quiz
	Lesson 3 - Creating & Reading Stem & Leaf Displays Creating & Reading Stem & Leaf Displays			Video Take Quiz
	Lesson 4 - Creating & Interpreting Histograms: Process & Examples Creating & Interpreting Histograms: Process & Examples			Video Take Quiz
	Lesson 5 - Creating & Interpreting Frequency Polygons: Process & Examples Creating & Interpreting Frequency Polygons: Process & Examples			Video Take Quiz
	Lesson 6 - Creating & Interpreting Dot Plots: Process & Examples Creating & Interpreting Dot Plots: Process & Examples			Video Take Quiz
	Lesson 7 - Creating & Interpreting Box Plots: Process & Examples Creating & Interpreting Box Plots: Process & Examples			Video Take Quiz
	Lesson 8 - Understanding Bar Graphs and Pie Charts Understanding Bar Graphs and Pie Charts			Video Take Quiz
	Lesson 9 - What is Bivariate Data? - Definition & Examples What is Bivariate Data? - Definition & Examples			Video Take Quiz

Ch 53. ORELA Math: Probability

			Course Progress	Best Score
	Lesson 1 - Events as Subsets of a Sample Space: Definition & Example Events as Subsets of a Sample Space: Definition & Example			Video Take Quiz
	Lesson 2 - Probability of Simple, Compound and Complementary Events Probability of Simple, Compound and Complementary Events			Video Take Quiz
	Lesson 3 - Probability of Independent and Dependent Events Probability of Independent and Dependent Events			Video Take Quiz
	Lesson 4 - How to Calculate Simple Conditional Probabilities How to Calculate Simple Conditional Probabilities			Video Take Quiz
	Lesson 5 - The Relationship Between Conditional Probabilities & Independence The Relationship Between Conditional Probabilities & Independence			Video Take Quiz
	Lesson 6 - The Addition Rule of Probability: Definition & Examples The Addition Rule of Probability: Definition & Examples			Video Take Quiz
	Lesson 7 - The Multiplication Rule of Probability: Definition & Examples The Multiplication Rule of Probability: Definition & Examples			Video Take Quiz
	Lesson 8 - How to Use the Fundamental Counting Principle How to Use the Fundamental Counting Principle			Video Take Quiz
	Lesson 9 - Math Combinations: Formula and Example Problems Math Combinations: Formula and Example Problems			Video Take Quiz
	Lesson 10 - How to Calculate a Permutation How to Calculate a Permutation			Video Take Quiz
	Lesson 11 - How to Calculate the Probability of Permutations How to Calculate the Probability of Permutations			Video Take Quiz

Ch 54. ORELA Math: Discrete Probability Distributions

			Course Progress	Best Score
	Lesson 1 - Random Variables: Definition, Types & Examples Random Variables: Definition, Types & Examples			Video Take Quiz
	Lesson 2 - Finding & Interpreting the Expected Value of a Discrete Random Variable Finding & Interpreting the Expected Value of a Discrete Random Variable			Video Take Quiz
	Lesson 3 - Developing Discrete Probability Distributions Theoretically & Finding Expected Values Developing Discrete Probability Distributions Theoretically & Finding Expected Values			Video Take Quiz
	Lesson 4 - Developing Discrete Probability Distributions Empirically & Finding Expected Values Developing Discrete Probability Distributions Empirically & Finding Expected Values			Video Take Quiz
	Lesson 5 - Binomial Experiments: Definition, Characteristics & Examples Binomial Experiments: Definition, Characteristics & Examples			Video Take Quiz
	Lesson 6 - Finding Binomial Probabilities Using Formulas: Process & Examples Finding Binomial Probabilities Using Formulas: Process & Examples			Video Take Quiz
	Lesson 7 - Finding Binomial Probabilities Using Tables Finding Binomial Probabilities Using Tables			Video Take Quiz
	Lesson 8 - Mean & Standard Deviation of a Binomial Random Variable: Formula & Example Mean & Standard Deviation of a Binomial Random Variable: Formula & Example			Video Take Quiz
	Lesson 9 - Solving Problems with Binomial Experiments: Steps & Example Solving Problems with Binomial Experiments: Steps & Example			Video Take Quiz

Ch 55. ORELA Math: Continuous Probability Distributions

			Course Progress	Best Score
	Lesson 1 - Graphing Probability Distributions Associated with Random Variables Graphing Probability Distributions Associated with Random Variables			Video Take Quiz
	Lesson 2 - Finding & Interpreting the Expected Value of a Continuous Random Variable Finding & Interpreting the Expected Value of a Continuous Random Variable			Video Take Quiz
	Lesson 3 - Developing Continuous Probability Distributions Theoretically & Finding Expected Values Developing Continuous Probability Distributions Theoretically & Finding Expected Values			Video Take Quiz
	Lesson 4 - Normal Distribution: Definition, Properties, Characteristics & Example Normal Distribution: Definition, Properties, Characteristics & Example			Video Take Quiz
	Lesson 5 - Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples			Video Take Quiz
	Lesson 6 - Using Normal Distribution to Approximate Binomial Probabilities Using Normal Distribution to Approximate Binomial Probabilities			Video Take Quiz

Ch 56. ORELA Math: Sampling

			Course Progress	Best Score
	Lesson 1 - What is Random Sampling? - Definition, Conditions & Measures What is Random Sampling? - Definition, Conditions & Measures			Video Take Quiz
	Lesson 2 - Simple Random Samples: Definition & Examples Simple Random Samples: Definition & Examples			Video Take Quiz
	Lesson 3 - Stratified Random Samples: Definition, Characteristics & Examples Stratified Random Samples: Definition, Characteristics & Examples			Video Take Quiz
	Lesson 4 - Cluster Random Samples: Definition, Selection & Examples Cluster Random Samples: Definition, Selection & Examples			Video Take Quiz
	Lesson 5 - Systematic Random Samples: Definition, Formula & Advantages Systematic Random Samples: Definition, Formula & Advantages			Video Take Quiz
	Lesson 6 - Sampling Distributions & the Central Limit Theorem: Definition, Formula & Examples Sampling Distributions & the Central Limit Theorem: Definition, Formula & Examples			Video Take Quiz
	Lesson 7 - Find the Mean & Standard Error of the Sampling Distribution Find the Mean & Standard Error of the Sampling Distribution			Video Take Quiz
	Lesson 8 - Finding Probabilities About Means Using the Central Limit Theorem Finding Probabilities About Means Using the Central Limit Theorem			Video Take Quiz

Ch 57. ORELA Math: Regression & Correlation

			Course Progress	Best Score
	Lesson 1 - Creating & Interpreting Scatterplots: Process & Examples Creating & Interpreting Scatterplots: Process & Examples			Video Take Quiz
	Lesson 2 - Simple Linear Regression: Definition, Formula & Examples Simple Linear Regression: Definition, Formula & Examples			Video Take Quiz
	Lesson 3 - Problem Solving Using Linear Regression: Steps & Examples Problem Solving Using Linear Regression: Steps & Examples			Video Take Quiz
	Lesson 4 - Analyzing Residuals: Process & Examples Analyzing Residuals: Process & Examples			Video Take Quiz
	Lesson 5 - The Correlation Coefficient: Definition, Formula & Example The Correlation Coefficient: Definition, Formula & Example			Video Take Quiz
	Lesson 6 - Correlation vs. Causation: Differences & Definition Correlation vs. Causation: Differences & Definition			Video Take Quiz
	Lesson 7 - Transforming Nonlinear Data: Steps & Examples Transforming Nonlinear Data: Steps & Examples			Video Take Quiz

Ch 58. ORELA Mathematics Flashcards

			Course Progress	Best Score
	Flashcards - ORELA Math: Properties of Real Numbers			Flashcards
	Flashcards - ORELA Math: Ratios & Proportions			Flashcards
	Flashcards - ORELA Math: Units of Measure & Conversions			Flashcards
	Flashcards - ORELA Math: Reasoning			Flashcards
	Flashcards - ORELA Math: Linear Equations			Flashcards
	Flashcards - ORELA Math: Quadratic Equations			Flashcards
	Flashcards - ORELA Math: Radical Expressions			Flashcards
	Flashcards - ORELA Math: Systems of Equations			Flashcards
	Flashcards - ORELA Math: Functions			Flashcards
	Flashcards - ORELA Math: Exponential & Logarithmic Functions			Flashcards
	Flashcards - ORELA Math: Limits			Flashcards
	Flashcards - ORELA Math: Calculating Derivatives & Derivative Rules			Flashcards
	Flashcards - ORELA Math: Integration Techniques			Flashcards
	Flashcards - ORELA Math: Foundations of Geometry			Flashcards
	Flashcards - ORELA Math: Geometric Figures			Flashcards
	Flashcards - ORELA Math: Circles & Arc of a Circle			Flashcards
	Flashcards - ORELA Math: Conic Sections			Flashcards
	Flashcards - ORELA Math: Geometric Solids			Flashcards
	Flashcards - ORELA Math: Graph Theory			Flashcards
	Flashcards - ORELA Math: Set Theory			Flashcards
	Flashcards - ORELA Math: Statistics Overview			Flashcards
	Flashcards - ORELA Math: Summarizing Data			Flashcards
	Flashcards - ORELA Math: Probability			Flashcards
	Flashcards - ORELA Math: Continuous Probability Distributions			Flashcards
	Flashcards - ORELA Math: Sampling			Flashcards
	Flashcards - ORELA Math: Regression & Correlation			Flashcards

Course Practice Test

ORELA Mathematics: Practice & Study Guide Practice Test

About This Course

Our course will supply you with all the necessary info to perform well on the NES Mathematics exam. Watch the video lessons put together by our trained instructors to get a better understanding of the mathematics terms and concepts key to passing this test. This study guide will teach you:

Types of numbers, fractions and decimals
Logic and reasoning problems
Vectors, matrices and determinants
Linear, quadratic, rational and radical expressions
Algebraic systems of equations
Exponential, piecewise and logarithmic functions
Geometric shapes and calculations
Functions, graphs and equations in trigonometry
Probability, data sets, sampling and regression

About The Exam

The NES Mathematics test is a computer-based test consisting of 150 multiple-choice questions. The test is four hours and fifteen minutes long and can be taken at multiple testing sites around Oregon. During the exam you'll be supplied with an on-screen calculator and a set of formulas.

NES Mathematics Preparation and Registration

The NES assessments are used by teaching candidates throughout Oregon to prove their credentials in different subjects. The NES mathematics exam will test your knowledge of basic mathematics principles and topics. The video lessons in our comprehensive study guide will teach you all you need to know to pass the exam with flying colors so you can successfully teach those same topics in the classroom. These lessons will teach you, among other things, all the basics of algebra and geometry, how to utilize complex formulas and functions, and the ins and outs of statistics and probability. Let our instructors help you achieve a better understanding of trigonometry, logic, and different types of expressions.

The computer-based test is available year-round, by appointment, at locations all across Oregon. Seating is first-come, first-served. If you wish to change the location, date, or time of the test you originally registered for, you must submit the change 24 hours before your originally scheduled exam. There is no fee for changing your exam location, date, or time.

NES Mathematics Scoring

Your testing results will be available immediately following the exam, but your scoring report will not be mailed to you for two weeks. You must score at least a 225 on the test to pass.

Mathematical Processes and Number Sense

In this area, you'll be tested on your ability to solve hypothetical and real-life math problems involving different types of numbers, ratios, and rates of change. Use logic and reasoning to analyze the connections between different mathematical concepts. This section also includes questions on number theory, including those involving complex numbers. These questions account for approximately 19% of the test.

Patterns, Algebra, and Functions

Here, you will be tested on your knowledge of functions, including linear, quadratic, higher-order polynomial, exponential, logarithmic, rational, radical, absolute value, and piece-wise defined functions. Learn how to manipulate and analyze these functions, and use them to solve mathematical equations. This section accounts for 24% of the questions on the test.

Measurement and Geometry

You will be tested on your ability to understand measurement principles and procedures, including conversion methods. Then, you will use your measurement skills to demonstrate your handling of Euclidean two- and three-dimensional geometry. This section also includes questions on coordinate and transformational geometry. You will need to be able to analyze figures in a coordinate system and chart the effects of transformations on a graph. The section accounts for 19% of the test.

Trigonometry and Calculus

This is where your knowledge of basic trigonometry and calculus principles will come in handy. You will need to use trigonometric functions to solve theoretical and real-life equations. Many of the questions in this section deal with differential and integral calculus, so make sure you have a firm grasp on the derivatives and integrals of functions. Study up on the Riemann sum, difference quotients, and rates of change and optimization. The questions in this section account for 19% of the test.

Statistics, Probability and Discrete Mathematics

Your understanding of basic statistical principles such as central tendencies, variability, and the effects of biases and sampling techniques will be put to the test here. In addition, you will need to prove your ability to determine probability using a number of techniques, such as graphing. Then, utilize the principles of discrete mathematics to solve problems, perform operations on matrices and vectors, and understand set theory. This section accounts for 19% of the questions on the test.

The Oregon Educator Licensure Asessments (ORELA) is a registered trademark of the Oregon Teacher Standards and Practices Commission and Pearson Education, Inc.; the National Evaluation Series (NES) is a registered trademark of Pearson Education, which are not affiliated with Study.com.

Earning Credit

Earning College Credit

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Practice Tests in this course

Check your knowledge of this course with a 50 to 2139 question practice test. Once you take the test, you will receive a detailed exam report complete with your personal statistics and even specific lessons to focus on! Take the practice test now