High School: Number & Quantity

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What are the Commutative Properties of Addition and Multiplication?

The commutative property is a fundamental building block of math, but it only works for addition and multiplication. This tutorial defines the commutative property and provides examples of how to use it.
What is the Distributive Property?

The distributive property is a very deep math principle that helps make math work. It's the rule that lets you expand parentheses, and so it's really critical to understand if you want to get good at simplifying expressions. So check out the tutorial and let us know what you think!
What are the Associative Properties of Addition and Multiplication?

The associative property is one of those fundamental properties of math that make math work. You probably take this property for granted because it's so ingrained, but it's important to see how the guts of math work, so check out the tutorial and make sure you're solid on your fundamentals!
What's an Irrational Number?

Is an irrational number just a way to describe a number that's lost its mind? Not really. :) An irrational number is simply a number that cannot be written as a fraction. Check out the definition, learn an important property of these special numbers, and take a look at some examples of irrational numbers.
What's a Rational Number?

There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!
How Do You Find the Length of a Rectangle if You Know its Width and Area?

How do you find the length of a rectangle if you're given the width and the area? This tutorial shows you how!
How Do You Add and Subtract Matrices with Fractions and Decimals?

Practicing with matrices can help you understand them better. Follow along with this tutorial to get some practice adding and subtracting matrices! You even get to use decimals and fractions!
How Do You Add Matrices?

Adding matrices is easier than you might think! Just find the corresponding positions in each matrix and add the elements in them! This tutorial can show you the entire process step-by-step.
How Do You Subtract Matrices?

To subtract matrices, you need to make sure that the matrices have the same dimensions. If they do, match up the corresponding positions in each matrix and subtract away! This tutorial takes you through the steps of subtracting matrices.
How Do You Multiply a Matrix by a Scalar?

To multiply a matrix by a scalar, just multiply each element in the matrix by the scalar! To see the entire process, check out this tutorial!
How Do You Use Matrices to Translate a Figure?

Matrices can help you solve all sorts of problems! In this tutorial, you'll see how to use a translation matrix to translate a figure on the coordinate plane.
How Do You Find the Inverse of a 2x2 Matrix?

When you multiply a matrix and its inverse together, you get the identity matrix! Follow along with this tutorial to practice finding the inverse of a 2x2 matrix.
What is the Commutative Property of Matrix Addition?

The Commutative Property of Matrix Addition is just like the Commutative Property of Addition! This tutorial uses the Commutative Property of Addition and an example to explain the Commutative Property of Matrix Addition.
What is the Identity Property of Matrix Addition?

This tutorial introduces you to the Identity Property of Matrix Addition. This property tells you what happens when you add a zero matrix to another matrix.
What is the Inverse Property of Matrix Addition?

Is the Inverse Property of Matrix Addition similar to the Inverse Property of Addition? Yes, it is! In fact, this tutorial uses the Inverse Property of Addition and shows how it can be expanded to include matrices!
How Do You Multiply Pure Imaginary Numbers?

You can multiply imaginary numbers like you multiply variables. Just remember that 'i' isn't a variable, it's an imaginary unit! This tutorial shows you the steps to find the product of pure imaginary numbers.
How Do You Multiply Complex Numbers Using FOIL?

Get some practice multiplying complex numbers together using the FOIL method! This tutorial takes you through the process of multiplying two complex numbers together.
How Do You Add Complex Numbers?

If you want to add complex numbers together, first regroup them so that like terms are next to one another. Then, add the like terms together, and you have your answer! To see an example, check out this tutorial.
How Do You Subtract Complex Numbers?

When you subtract complex numbers, you first need to distribute in the minus sign into the second complex number. Then, regroup the terms so like terms are next to each other. Combine those like terms, and you have the answer! Watch this tutorial to see a great example!
How Do You Find the Absolute Value of a Complex Number?

The absolute value of a complex number is just the distance from the origin to that number in the complex plane! This tutorial shows you how to use a formula to find the absolute value of a complex number.
How Do You Graph Complex Numbers?

To understand a complex number, it's important to understand where that number is located on the complex plane. This tutorial helps you practice graphing complex numbers!
How Do You Divide Complex Numbers Using Conjugates?

To divide complex numbers, you usually need to multiply by the complex conjugate of the denominator. Follow along with this tutorial to see how to find that complex conjugate and multiply with it to perform the division!
How Do You Find Higher Powers of i?

When the imaginary number 'i' has a large exponent, it can take a while to simplify it. Luckily, this tutorial gives you a trick to quickly find a higher power of 'i'!
How Do You Simplify the Square Root of a Negative Number?

Simplifying the square root of a negative number is very similar to simplifying the square root of a positive number. You just need to remember 'i' in your answer! Check out this tutorial to see how to simplify the square root of a negative number.
How Do You Add Complex Numbers by Graphing in the Complex Plane?

Did you know you can add two complex numbers together just by graphing them? This tutorial shows you how you can perform this addition on the complex plane!
How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions if a≠1?

The solution to a quadratic equation can sometimes be an imaginary number! This tutorial shows you how to use the square root method to solve a quadratic equation that has imaginary solutions.
How Do You Solve a Quadratic Equation With Complex Solutions by Using the Quadratic Formula?

You can never get too much practice working with the quadratic formula, especially when the solution includes complex numbers! Watch this tutorial to see the quadratic formula be used to find the complex solutions to a quadratic equation.
How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions?

There are many ways to solve a quadratic equation. One of these ways is by using the square root method. Watch this tutorial to see how the square root method is used to solve a quadratic equation and find imaginary solutions!
How Do You Solve a Quadratic Equation with Complex Solutions by Completing the Square?

You can solve a quadratic equation by completing the square! This tutorial shows you the steps needed to solve a quadratic using this method.
How Do You Find Values for x and y to Make Two Complex Numbers Equal?

Solving complex numbers isn't as complex as you might think. Just match up the real parts and the imaginary parts and solve! This tutorial shows you how to solve an equation involving complex numbers for specific variables.
What is the Imaginary Unit i?

Every tried to take the square root of a negative number? You'll need the imaginary unit 'i' to write the answer. This tutorial introduces you to this useful imaginary unit.
What is an Imaginary Number?

Imaginary numbers are used to help us work with numbers that involve taking the square root of a negative number. In this tutorial, you'll be introduced to imaginary numbers and learn that they're a type of complex number.
What is the Fundamental Theorem of Algebra?

Does every polynomial function have a solution? The answer can be found through the Fundamental Theorem of Algebra! This tutorial introduces you to the theorem and explains how its meaning.
What are Rational Exponents?

You can rewrite an expression with a rational exponent a few different ways. This can come in handy when your solving a problem involving rational exponents. This tutorial shows you how it works! You can even practice with examples!
What is a Vector?

When you're following directions, you not only need to know how far you're traveling but in what direction. Vectors are just like that! They have both a length and a direction! Follow along with this tutorial to learn about vectors and their parts. You can even see how to name a vector!
How Do You Use Dimensional Analysis to Convert Units on One Part of a Rate?

Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use a conversion factor to convert a unit in the rate. Take a look!
How Do You Use Dimensional Analysis to Convert Units on Both Parts of a Rate?

Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use conversion factors to convert the rate to different units!
What is Dimensional, or Unit Analysis?

If youâ€™re solving a math problem or word problem that contains units, you need to remember to include your units in your answer. By using dimensional analysis or unit analysis, you can include those units as you solve! Watch this tutorial and take a look at dimensional analysis!
How Do You Find the Area of a Rectangle?

To find the area of a rectangle, multiply the length times the width! This tutorial will show you how to find the area of a rectangle. Check it out!
How Do You Find the Area of a Triangle?

Finding the area of a triangle? Know the length of the base and the height? Then just take those values and plug them into the formula for the area of a triangle and solve! This tutorial shows you how.
How Do You Find the Area of a Parallelogram?

Looking for the area of a parallelogram? Got the length of the base and the height? Then plug those values into the formula for the area of a parallelogram and solve. This tutorial takes you through the process!
How Do You Find the Area of a Trapezoid?

Want to find the area of a trapezoid? If you have the length of each base and the height, you can use them to find the area. In this tutorial, you'll see how to identify those values and plug them into the formula for the area of a trapezoid. Then see how to simplify to get your answer!
How Do You Find the Height of a Triangle if You Know the Area and Base?

Want to find the height of a triangle? Already know the area and the length of the base? Then you can use the formula for the area of a triangle to find that missing measurement! Check out this tutorial to learn how!
How Do You Find the Base of a Parallelogram if You Know the Area and Height?

Want to find the length of the base of a parallelogram? Already know the area and the height? Then you can use the formula for the area of a parallelogram to find that missing measurement! Check out this tutorial to learn how!
How Do You Find the Height of a Trapezoid if You Know the Area and Bases?

Want to find the height of a trapezoid? Already know the area and the length of both the bases? Then you can use the formula for the area of a trapezoid to find that missing measurement! Check out this tutorial to see how!
How Do You Find the Area of a Composite Figure?

Composite figures are just a combination of simpler figures in disguise! In this tutorial, you'll see how to break down a composite figure into simpler figures. Then, see how to find the area of each of those individual figures to find the area of the entire composite figure. Watch the whole process in this tutorial!
How Do You Find the Volume of a Cylinder?

The volume of a cylinder is the amount of space that will fit inside it. You can use the formula for the volume of a cylinder to find that amount! In this tutorial, see how to use that formula and the radius and height of the cylinder to find the volume. Check it out!
How Do You Find the Height of a Cylinder if You Know the Volume?

Want to find the height of a cylinder? Already know the volume of the cylinder and radius of the base? Then, you can use the formula for the volume of a cylinder to find the height! Check out this tutorial to see how!
How Do You Find the Volume of a Rectangular Prism?

Finding the volume of a rectangular prism isn't so bad, especially if you already know the length, width, and height. In this tutorial, you'll see how to use that information and the formula for the volume of a rectangular prism to get the answer. Check it out!
How Do You Find the Volume of a Triangular Prism?

Finding the volume of a triangular prism isn't so bad, especially if you already know the length and height of the base and the height of the prism. In this tutorial, you'll see how to use that information and the formula for the volume of a triangular prism to get the answer. Take a look!
How Do You Find the Volume of a Composite Figure?

Composite figures are just a combination of simpler figures in disguise! In this tutorial, you'll see how to break down a composite figure into simpler figures. Then, see how to find the volume of each of those individual figures to find the volume of the entire composite figure. Watch the whole process in this tutorial!
How Do You Find the Volume of a Cone?

To find the volume of a cone, you need to plug in the measurement for the height of the cone and the radius of the base into the formula for the volume of a cone. Then simplify to get your answer. This tutorial shows you the entire process step-by-step!
How Do You Find the Volume of a Sphere?

Want to find the volume of a sphere? If you know the radius of the sphere, you can simply plug that value into the formula for the volume of a sphere and simplify! This tutorial shows you how!
How Do You Find the Volume of a Triangular Pyramid?

If you want to find the volume of a triangular pyramid, you'll need to know the length and height of the base and the height of the pyramid. Once you have those values, you can plug them into the formula for the volume of a triangular pyramid and simplify. Check out this tutorial to see this process!
How Do You Find the Volume of a Rectangular Pyramid?

To find the volume of a rectangular pyramid, you need to know the length and width of the base and the height of the pyramid. Then, take those values, plug them into the formula for the volume of a rectangular pyramid, and simplify to get your answer! Watch this tutorial to see how it's done!