Homeschool Learning Resources at CafeGenius



Basic Pre-Algebra

  • About Exponents: Understanding the nature of exponents is a key math concept. Learn all about exponents in this interactive tutorial.
  • About Exponents: Understanding the nature of exponents is a key math concept. Learn all about exponents in this interactive tutorial.
  • About Real Numbers: So what exactly are real numbers, anyway? Explore this tutorial to learn about the number line, absolute value, and what kinds of numbers make up real numbers.
  • Properties of Exponents: Exponents share a handful of properties regarding bases and their powers. Learn about each property and put it to the test in this interactive tutorial.
  • Properties of Real Numbers: All real numbers share a handful of properties such as associative, distributive, commutative, and more. Learn about each property in this interactive tutorial.
  • Radicals and Roots: What's the difference between a radical and a root? If you're talking math, this tutorial covers the basics. (If you're talking about the sixties, you're on your own...)
  • Rational Exponents: Do you know what rational exponents are? This tutorial will show you what they are and how to evaluate them.
  • Working With Radicals: Working with nth roots is a breeze if you understand the rules. This tutorial will show you how to handle radicals and radicands, and even explain the simplest radical form. Excellent!!!

Graphs and Lines

  • Bottomless Worksheet of Length of a Line Segment: With this Bottomless Worksheet you can get endless practice on determining the length of a line segment. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Midpoint of a Line Segment: Use this Bottomless Worksheet to get endless practice on calculating the midpoint of a line segment. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Point and Slope: This Bottomless Worksheet offers endless practice for using the slope and one point on a line to find the Point-Slope, Slope-Intercept, and Standard Forms. Ten new problems for you to solve, with printed copies and answer sheets, are always a click away.
  • Bottomless Worksheet of Slope of a Line: This Bottomless Worksheet can give you endless practice for determining the slope of a line. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Slope-Intercept Formula: This Bottomless Worksheet can give you endless practice on finding the slope and y-intercept from the Slope-Intercept Form. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Equation of a Straight Line: In a cartesian plane, a line is defined as a series of x,y coordinates. The equation of a line, or linear equation, is a formula that describes this series. Learn about the three forms of linear equations in this tutorial.
  • Equation of a Straight Line Using Point and Slope: How do you find the equation of a straight line from the slope and a single point? Use this Formula Solver Series program to determine the Slope-Intercept, Point-Slope, and Standard forms.
  • Equation of a Straight Line Using Slope-Intercept: Do you need to determine the slope and Y-intercept of a straight line, but all you have is the Standard Form of the equation (Ax + By = C)? Use this Formula Solver Series program to learn how to find the slope-intercept form.
  • Graphing: Graphs are a fundamental concept in many areas, from math to economics. This interactive tutorial will guide you through the basic concepts, including calculating the slope of a line.
  • Graphing a Linear Inequality: Graphing a linear inequality (Ax + By < C) is not as hard as it sounds. This tutorial will walk you through the steps, and familiarize you with the finer points of the x-intercept, y-intercept, and boundary line.
  • Graphing a Straight Line: This tutorial will show you how to take the slope-intercept form of a linear equation and use it to graph a straight line. You won't have to fear x-intercepts and y-intercepts any longer!
  • Length of a Line Segment: Use this Formula Solver! Series program to learn how to determine the length of a line segment. It's great for checking your homework answers, too!
  • Midpoint of a Line Segment: Calculating the midpoint of a line segment is a breeze with our popular Formula Solver! Series. It's great for checking your homework answers, too!
  • Slope of a Line: Do you know what the 'rise over the run' means? Use this Formula Solver! Series program to learn how to determine the slope of a line, and discover what conditions can result in having a negative slope, a positive slope, or no slope at all.

Functions

  • About Functions: What is a function, exactly? You are cordially invited to attend this tutorial, which will explain all about functions. (Leave your evening gown or tuxedo at home.)
  • About Variation: Direct variation, indirect variation, and the constant of variation all describe the relationship between the x and y values in a function. Learn how to derive these values in this tutorial.
  • Bottomless Worksheet of Inverse Functions: Get endless practice right here in finding inverse functions! At the click of a button, this Bottomless Worksheet generates ten more problems for you to solve. Plus, a printed copy or answer sheet is only a click away.
  • Combining Two Functions: This tutorial will show you how to combine two functions using addition, subtraction, multiplication, and division. You'll also learn how to perform compositions (and we don't mean writing essays either).
  • Function Flashcards: We have the graphs for a variety of linear, quadratic, and non-linear functions presented as a set of flashcards. Learn how to identify cubic functions, reciprocal functions, the identity function, and more with this helpful program.
  • Inverse Functions: You're learning about different kinds of functions, but what is an inverse function? (Hint: it isn't 'noitcnuf'...) Find out what it is, and learn the steps to figure out the inverse function in this Formula Solver Series program.
  • Linear Functions: Can you identify a linear function? Learn about the different types of linear functions (and what their graphs look like) in this tutorial.
  • Non-Linear Functions: Can you identify the greatest integer function, or the absolute value function? This tutorial shows the graphs for these and other non-linear functions.
  • Quadratic Functions: This tutorial will teach you about the different types of parabolas you can get when graphing quadratic functions.

Equations and Inequalities

  • Algebra Quiz of Equality and Inequality: Can't tell the difference between reflexive and transitive? This fun quiz will help you learn each property of equalities and inequalities. Trichotomy, reciprocal, or substitution, you'll master all the properties in no time!
  • Bottomless Worksheet of Completing the Square: This Bottomless Worksheet is a way to practice the process of completing the square. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Quadratic Equations: Get endless practice right here in solving quadratic equations! At the click of a button, this Bottomless Worksheet generates ten more problems for you to solve. Plus, a printed copy or answer sheet is only a click away.
  • Bottomless Worksheet of Simple Linear Equations: This Bottomless Worksheet is a way to get endless practice on solving simple linear equations. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Simple Linear Inequalities: Get endless practice right here in solving simple linear inequalities! At the click of a button, this Bottomless Worksheet creates ten more problems for you to solve. You can also get a printed copy or answer sheet if you want.
  • Completing the Square: Building on the concept of the Perfect Square Trinomial, the technique of Completing the Square can be used to solve a quadratic equation. This Formula Solver! Series program will walk you through the steps.
  • My Equality and Inequality Flashcards: These flashcards are a great way to learn the properties of equalities and inequalities. Including transitive, reflexive, trichotomy, and more, each property is matched with an example so you can't go wrong. It even has a concentration game for variety!
  • Properties of Inequalities: Inequality is a basic math concept. This tutorial will explain how it works in plain english (or as plain as you can get when discussing 'trichotomy property').
  • Solving Quadratic Equations: Solving a quadratic equation is a key math concept. This Formula Solver! Series program will walk you through the steps to finding a solution, explaining terms along the way (such as 'discriminant').
  • Solving Simple Linear Equations: Solving simple linear equations is a key math concept. This Formula Solver! Series program will walk you through the steps. It's great for checking your homework answers, too!
  • Solving Simple Linear Inequalities: Solving simple linear inequalities is a straightforward process. This Tab Tutor program will walk you through the steps.

Complex Numbers

  • Adding and Subtracting Complex Numbers: What are complex numbers, and what's up with this imaginary number i? Use this Tab Tutor Series program to learn about complex numbers and see how to add and subtract them.
  • Bottomless Worksheet of Adding Complex Numbers: With this Bottomless Worksheet you can get endless practice on adding complex numbers (numbers including the imaginary number i). At the click of a button, there are ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Dividing Complex Numbers: Get endless practice right here in dividing complex numbers! At the click of a button, this Bottomless Worksheet generates ten more problems for you to solve. Plus, a printed copy or answer sheet is only a click away.
  • Bottomless Worksheet of Multiplying Complex Numbers: This Bottomless Worksheet is a great way to practice multiplying complex numbers by real numbers and each other. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Subtracting Complex Numbers: Get endless practice on subtracting complex numbers (numbers including the imaginary number i) with this Bottomless Worksheet. Ten more problems for you to solve, a printed copy, and an answer sheet are always a button-click away.
  • Dividing Complex Numbers: What are complex numbers, and how do you divide them? Use this Tab Tutor Series program to learn about complex numbers and see how the complex conjugate can help you divide them.
  • Multiplying Complex Numbers: What are complex numbers, and what's up with this imaginary number i? Use this Tab Tutor Series program to learn about complex numbers and see how to multiply them.
  • Study Sheet of Complex Numbers: Use this printable study sheet to review or learn the techniques for working with complex numbers and the imaginary number i, including addition, subtraction, multiplication, and division.
  • The Imaginary Number i: What is the imaginary number i, and how is it used? This tutorial will teach you all about it.

Polynomials

  • About Polynomials: Understanding the nature of polynomials is a key algebra concept. Learn all about them in this tutorial.
  • Adding Polynomials: Polynomials can come in many forms, but adding polynomials is a straight-forward process. This Tab Tutor program will show you how it's done.
  • Bottomless Worksheet of Adding Polynomials: This Bottomless Worksheet offers endless practice on adding polynomials. Ten new problems for you to solve, with printed copies and answer sheets, are always a click away.
  • Bottomless Worksheet of Subtracting Polynomials: Use this Bottomless Worksheet to get endless practice in subtracting polynomials. Ten new problems for you to solve, printed copies, and answer sheets are all just a click away.
  • Bottomless Worksheet of the FOIL Method: This Bottomless Worksheet offers endless practice for using the FOIL method to multiply binomials. Ten new problems for you to solve, with printed copies and answer sheets, are always a click away.
  • Factoring Trinomials: Learning about factoring trinomials from a textbook can be difficult. This tutorial shows you the basics of factoring, and then gives you as many practice examples as you need to master the techniques.
  • FOIL Method of Multiplying Binomials: Multiplying binomials using the FOIL method is a key math concept. This Formula Solver! Series program will walk you through the steps. It's great for checking your homework answers, too!
  • Multiplying Polynomials: Polynomials can come in many forms, but multiplying polynomials is a straight-forward process. This Tab Tutor program will show you how it's done.
  • Special Polynomial Products: Some polynomial products can be solved by using recognizable patterns. Learn about these cool shortcuts in this tutorial.
  • Subtracting Polynomials: Polynomials can come in many forms, but subtracting polynomials is a straight-forward process. This Tab Tutor program will show you how it's done.

Logarithms

  • Properties of Logarithms: Use this interactive tutorial to learn about what a logarithm is and how it works. It includes the identity property, the inverse property, and a neat trick for doing logs on your calculator!
  • Table of Common Logarithms: If you don't have a calculator handy, this table can help you find common logs. We've also included a tutorial to show you how to use the table!
  • Table of Natural Logarithms: This table displays natural logarithms for numbers between 0.10 and 10.09. There is also a tutorial to show you how the table works, and how to use it to find natural logs for numbers less than one or greater than 10.
  • Using Logarithms: What's the difference between common logs and natural logs? How about antilogs, or the irrational number e? Learn all about them in this tutorial, and find out why all kids love logs.

Angle Functions

  • Angle Functions Quiz: Take this self-quiz to review angle functions terms and concepts like sine, cosine, and tangent.
  • Area of a Triangle Using Sine: How do you figure out the area of a triangle if you only know two sides and the angle between them? This formula solver will show you!
  • Cosecant Function in a Right Triangle: Use this Formula Solver! Series program to learn how to calculate the cosecant of an angle. It's great for checking your homework answers, too!
  • Cosine & ArcCosine in a Right Triangle: Explore how to use cosine and arccosine in a triangle using this Formula Solver! Series program. Use it to check your homework answers too!
  • Cosine Function in a Right Triangle: Review how the basic concept of the cosine function works, using this Formula Solver! Series program. Use it to check your homework answers too!
  • Cotangent Function in a Right Triangle: Use this Formula Solver! Series program to learn how to calculate the cotangent of an angle. It's great for checking your homework answers, too!
  • Law of Cosines: The Law of Cosines describes fundamental properties of triangles. Use this Formula Solver! Series program to learn how it works (and to check your homework answers, too!)
  • Law of Sines: The Law of Sines describes fundamental properties of triangles. Use this Formula Solver! Series program to learn how it works (and to check your homework answers, too!)
  • Law of Sines Ambiguous Case: Explore the ambiguous case of the Law of Sines using this Formula Solver! Series program. Use it to check your homework answers too!
  • My Angle Functions Flashcards: Use these flash cards to practice your grasp of sine, cosine, tangent, and dozens of other angle functions terms.
  • Non-Right Triangles Study Sheet: Use this Smartacus Study Sheet to learn how to find sides and angles in non-right triangles (also known as oblique triangles). An important resource for your trigonometry class, it also prints for easy reference.
  • Radians: Converting between degrees and radians is a key math concept. This Formula Solver! Series program will walk you through the steps. It's great for checking your homework answers, too!
  • Secant Function in a Right Triangle: Use this Formula Solver! Series program to learn how to calculate the secant of an angle. It's great for checking your homework answers, too!
  • Sine & ArcSine in a Right Triangle: Explore how to use sine and arcsine in a triangle using this Formula Solver! Series program. Use it to check your homework answers too!
  • Sine Function in a Right Triangle: Review how the basic concept of the sine function works, using this Formula Solver! Series program. Use it to check your homework answers too!
  • Soh-Cah-Toa and Trigonometry Functions: This person, more than any other mathemetician, has helped countless students learn basic trigonometric functions. So who exactly is this Soh-Cah-Toa?
  • Tangent & ArcTangent in a Right Triangle: Explore how to use tangent and arctangent in a triangle using this Formula Solver! Series program. Use it to check your homework answers too!
  • Tangent Function in a Right Triangle: Review how the basic concept of the tangent function works, using this Formula Solver! Series program. Use it to check your homework answers too!

Systems of Equations

  • Bottomless Worksheet of Cramer's Rule 3x3: This Bottomless Worksheet offers endless practice in solving systems of linear equations in three variables using Cramer's Rule. At the click of a button, it creates ten more problems for you to solve, complete with printed copy and answer sheet.
  • Bottomless Worksheet of Elimination Method: Get endless practice in solving systems of linear equations in two variables via the elimination method with this Bottomless Worksheet. At the click of a button, it creates ten more problems for you to solve, complete with printed copy and answer sheet.
  • Bottomless Worksheet of Graphing Method: Use this Bottomless Worksheet to get endless practice in solving systems of linear equations in two variables with the graphing method. Ten new problems for you to solve, printed copies, and answer sheets are just a click away.
  • Bottomless Worksheet of Substitution Method Linear: This Bottomless Worksheet offers endless practice in solving systems of linear equations in two variables with the substitution method. At the click of a button, it creates ten more problems for you to solve, complete with printed copy and answer sheet.
  • Cramer's Rule 3x3: For systems of three linear equations in three variables, this Formula Solver program walks you through the steps for finding the solution using Cramer's Rule (also known as the Third Order Determinant Method). You can even work with your own values!
  • Systems of Linear Equations: Elimination Method: For systems of two linear equations in two variables, this Formula Solver program walks you through the steps for finding the solution using the elimination method. You can even work with your own values!
  • Systems of Linear Equations: Graphing Method: This Formula Solver program walks you through the steps for solving a system of two linear equations in two variables, using the graphing method. You can use your own values, and it will draw graphs and plot the solution.
  • Systems of Linear Equations: Substitution Method: Solving a system of two linear equations in two variables just got a little easier. This Formula Solver program will walk you through the steps for finding the solution using the substitution method, and you can even work with your own values!
  • Systems of Linear Inequalities: Graphing Method: For systems of two linear inequalities in two variables, this Formula Solver program walk you through the steps for finding the solution using the graphing method. You can even work with your own values!

Matrix Algebra

  • Determinant of a 2x2 Matrix: Use this Formula Solver Series tutorial to learn how to calculate the determinant of a 2x2 matrix. Practice the steps and check your homework answers, all in the same place.
  • Determinant of a 3x3 Matrix: Learn how to calculate the determinant of a 3x3 matrix with this Formula Solver Series tutorial. It even explains the process for any square matrix of 4x4 or larger.
  • Matrix Addition: Review how the basic concept of matrix addition works, using this Formula Solver! Series program. Use it to check your homework answers too!
  • Matrix Multiplication: Learning how to multiply two matrices is a breeze with this Formula Solver! Series program. Use it to check your homework answers too!
  • Matrix Subtraction: Review the basic concept of subtract two matrices, using this Formula Solver! Series program. Use it to check your homework answers too!

Counting and Probability

  • About Arithmetic Sequences: Learn about arithmetic sequences with this interactive tutorial. (Added bonus: click on the choice buttons to see more examples!)
  • About Geometric Sequences: Learn about geometric sequences with this interactive tutorial. (Added bonus: click on the choice buttons to see more examples!)
  • About Probability: Understanding the nature of probability is a key math concept. Learn all about it in this tutorial.
  • Binomial Theorem: Learn how to use the Binomial Theorem to expand a binomial, or identify a specific term, with this helpful tutorial. We also include (as an added bonus) an interactive explanation of Pascal's Triangle.
  • Bottomless Worksheet of Combinations: Get endless practice in calculating combinations with this Bottomless Worksheet. At the click of a button, it creates ten more problems for you to solve, complete with printed copy and answer sheet.
  • Bottomless Worksheet of Expected Value: This Bottomless Worksheet is a great way to practice calculating expected values and determining fair games. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Bottomless Worksheet of Permutations: Use this Bottomless Worksheet to get endless practice in calculating permutations. Ten new problems for you to solve, printed copies, and answer sheets are all just a click away.
  • Bottomless Worksheet of Simple Probabilities: With this Bottomless Worksheet you can get endless practice on calculating simple probabilities. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
  • Calculating Simple Probabilities: This interactive tutorial will show you how to use the concepts of combinations and permutations to solve simple probability problems involving coin tosses and racing mice.
  • Combinations: Review how the basic concept of combinations works, using this Formula Solver! Series program. Use it to check your homework answers too!
  • Common Probability Tables: Use this handy reference to look up some commonly used probability tables. We have two dice, three dice, and five-card poker for your enjoyment.
  • Conditional and Independent Probability: Probability is about more than just poker and dice. Learn about conditional probability and the idea of independent events in this tutorial.
  • Expected Value: So what is expected value and how can we use it to figure out whether a raffle is a good deal? Let this tutorial show you the way.
  • Factorials: Learn what a factorial is, and how to calculate one, with this interactive program.
  • Permutations: Review how the basic concept of permutations works, using this Formula Solver! Series program. Use it to check your homework answers too!

Conic Sections

  • Equation of a Circle: This Tab Tutor program will show you how to find the equation of a circle from its center and radius, and vice versa. It's great for checking your homework answers too!
  • Equation of a Horizontal Ellipse: With this Tab Tutor program, you'll learn about the equation of a horizontal ellipse and how to use it to derive the foci, vertices, and minor axis. A useful glossary also introduces you to other features like the latus rectum and major axis.
  • Equation of a Horizontal Hyperbola: Learn about the equation of a horizontal hyperbola with this Tab Tutor program. With step-by-step instruction and an illustrated glossary, it will show you how to find the foci, vertices, minor axis, and asymptotes from the equation and vice versa.
  • Equation of a Parabola: This Tab Tutor program will help you learn about the equation of a parabola and how to use it to derive the focus, vertex, and orientation. A useful glossary also introduces you to other features like the latus rectum and the directrix.
  • Equation of a Vertical Ellipse: With this Tab Tutor program, you'll learn about the equation of a vertical ellipse and how to use it to derive the foci, vertices, and minor axis. A useful glossary also introduces you to other features like the latus rectum and major axis.
  • Equation of a Vertical Hyperbola: Learn about the equation of a vertical hyperbola with this Tab Tutor program. With step-by-step instruction and an illustrated glossary, it will show you how to find the foci, vertices, minor axis, and asymptotes from the equation and vice versa.
  • Study Sheet of Conic Sections: A conic section is a curve formed by the intersection of a cone with a plane. Use this printable study sheet to review or learn the terms and concepts of the circle, ellipse, parabola, and hyperbola.