# acquire and demonstrate mathematical understanding

### Popular Tutorials in acquire and demonstrate mathematical understanding

#### How Do You Evaluate an Algebraic Expression by Plugging In Values?

Sometimes you have an algebraic expression with variables, and you know the values of those variables exactly, and you just need to plug in those values and get the value of the expression. Well, if that's what you have to do, then you've come to the right place, because this tutorial will show you exactly how to do it!

#### What is an Identity Equation?

Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you'll ALWAYS get a true statement. Learn about identity equations in this tutorial, and then create your own identity equation. Get creative! The possibilities are endless!

#### What are Similar Figures?

Looking at two figures that are the same shape and have the same angle measurements? You have similar figures! Learn all about it in this tutorial!

#### How Can You Tell if a Relation is Not a Function?

Every function is a relation, but not every relation is a function! Watch this video to learn how to tell which relations are functions and which are not.

#### How Do You Use a Scatter Plot to Find a Line of Fit?

A line-of-fit is a line that summarizes the trend in a set of data. In this tutorial, you'll see how to graph data on a coordinate plane and draw a line-of-fit for that data. Check it out!

#### What Does the Slope of a Line Mean?

You can't learn about linear equations without learning about slope. The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line. Check out this tutorial to learn about slope!

#### What Does Direct Variation Look Like on a Graph?

Want to know what a direct variation looks like graphically? Basically, it's a straight line that goes through the origin. To get a better picture, check out this tutorial!

#### What's a Scatter Plot?

Scatter plots are really useful for graphically showing a bunch of data. By seeing data graphically, you can see patterns or trends in the data. These patterns help researchers to understand how one thing affects another. This can lead to all kinds of breakthroughs! This tutorial gives you a look at the scatter plot. Check it out!

#### What's Positive Correlation?

Looking at a line-of-fit on a scatter plot? Does that line have a positive slope? If so, your data shows a positive correlation! Learn about positive correlation by watching this tutorial.

#### What's Slope-Intercept Form of a Linear Equation?

When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Watch this tutorial, and learn about the point-slope form of a line!

#### What's the Y-Intercept?

When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis. In this tutorial, learn about the y-intercept. Check it out!

#### How Do You Solve a System of Equations by Graphing?

There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by graphing both lines and finding their intersection. Take a look!

#### How Do You Solve a System of Equations Using the Substitution Method?

There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by substituting one equation into the other and solving for the variable. Then, see how to use that variable value to find the value of the other variable. Check it out!

#### How Do You Solve a System of Equations Using the Elimination by Addition Method?

There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by combining the equations together to eliminate one of the variables. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!

#### How Do You Solve a System of Equations Using the Elimination by Subtraction Method?

There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve such a system by combining the equations together in a way so that one of the variables is eliminated. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!

#### What's a System of Linear Equations?

A system of equations is a set of equations with the same variables. If the equations are all linear, then you have a system of linear equations! To solve a system of equations, you need to figure out the variable values that solve all the equations involved. This tutorial will introduce you to these systems.

#### How Can You Tell When a System of Equations Has Infinitely Many Solutions?

A system of linear equations can have one solution, no solution, or infinitely many solutions. That's right, infinitely many solutions! Watch this tutorial to find out how to identify systems that have infinitely many solutions.

#### How Do You Find the Length of a Leg of a Right Triangle?

Finding the missing length of a side of a right triangle? If you have the other two side lengths, you can use the Pythagorean theorem to solve! Check out this tutorial and see how to use this really helpful theorem to find that missing side measurement!

#### What is the Converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem is like the the Pythagorean Theorem in reverse. You can use it both forward and backward! Not all theorems work this way, but the Pythagorean Theorem does! This tutorial will show you how to use both the Pythagorean Theorem and its converse.

#### What Is the Distance Formula?

If you need to find the distance between to points on the coordinate, you'll probably use the distance formula to get your answer. This tutorial introduces you to the distance formula and even shows you how to find it!

#### What is the Pythagorean Theorem?

The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle!

#### What is the Mean of a Data Set?

When you think of the mean of a data set, think of the word average. 'Mean' and 'average' are the same thing when you're talking about a set of data! This tutorial introduces you to mean and shows you how to find 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'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.

#### How Do You Estimate the Square Root of a Non-Perfect Square?

Trying to take the square root of a number that is not a perfect square? Think you need a calculator? Think again! This tutorial will show you how to estimate the square root of a number that is not a perfect square without the use of a calculator!

#### How Do You Solve an Equation with Variables on Both Sides?

Trying to solve an equation with variables on both sides of the equal sign? Figure out how to get those variables together and find the answer with this tutorial!

#### How Do You Use the Formula for Simple Interest?

If you already have a bank account or if you plan to have one in the future, then this tutorial is a must see! Follow along as this tutorial goes through a word problem involving simple interest.

#### How Do You Solve a Word Problem Using the Direct Variation Formula?

Word problems allow you to see math in action! Take a look at this word problem involving an object's weight on Earth compared to its weight on the Moon. See how the formula for direct variation plays an important role in finding the solution. Then use that formula to see how much you would weigh on the Moon!

#### How Do You Solve an Inequality With Variables on Both Sides?

Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

#### How Do You Multiply Two Numbers Using Scientific Notation?

Multiplying together two really large numbers? What about two really small numbers? How about one of each? Scientific notation to the rescue! Watch this tutorial and learn how to multiply using scientific notation.

#### How Do You Convert From Decimal Notation to Scientific Notation?

Trying to convert a really large or really small number to scientific notation? Watch this tutorial and you'll be a pro in no time!

#### What's the Product of Powers Rule?

Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you multiply the same number raised to different exponents!

#### What's the Quotient of Powers Rule?

Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!

#### What's Scientific Notation?

Sometimes a number is so big (or so small), that it takes a while to write it all down. Luckily, this number can be written quicker using scientific notation! Watch this tutorial and learn about scientific notation.

#### What's a Function?

You can't go through algebra without learning about functions. This tutorial shows you a great approach to thinking about functions! Learn the definition of a function and see the different ways functions can be represented. Take a look!

#### How Do You Solve a Two-Step Equation?

Becoming a pro at solving equations takes practice! Follow along with this tutorial to see an example of solving an equation for a variable.

#### What is a Dilation?

When someone's eyes dilate, their pupils get bigger or smaller, but they always stay the same shape. Dilation in math is very similar. When you dilate a figure, you change the size of the figure without changing its shape. This tutorial introduces you to dilation. Take a look!

#### How Do You Find the Rate of Change Between Two Points on a Graph?

The rate of change is a rate that describes how one quantity changes in relation to another quantity. In this tutorial, practice finding the rate of change using a graph. Check it out!

#### How Do You Make a Scatter Plot?

Scatter plots are a very useful way to help you visually see data. In this tutorial, you'll see how to take data from a table and plot it to create a scatter plot. Take a look!

#### How Do You Write and Use a Prediction Equation?

Scatter plots are a great way to see data visually. They can also help you predict values! Follow along as this tutorial shows you how to draw a line of fit on a scatter plot and find the equation of that line in order to make a prediction based on the data already given!

#### How Do You Find a Value for x that Makes Two Lines Parallel?

Got a transversal intersecting two lines? Trying to figure out if those lines are parallel? You could test to see if corresponding angles are congruent. This tutorial shows you how!

#### What Does Congruent Mean?

If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!

#### What is a Transversal?

Ever heard of a transversal? It's not as confusing as the term sounds. This tutorial will introduce you to transversals and show you the neat things that happen when a transversal meets two parallel lines. Take a look!

#### What are Interior and Exterior Angles of a Polygon?

Sometimes a math term can really tell you a lot about the thing it's describing. Think about the terms interior angle and exterior angle. Can you guess where each is located on a polygon? Take a look at this tutorial to find the answer and learn about interior and exterior angles!

#### What is a Reflection?

When you look in the mirror, you see your reflection. In math, you can create mirror images of figures by reflecting them over a given line. This tutorial introduces you to reflections and shows you some examples of reflections. Take a look!

#### What is a Rotation?

Ever turned a door handle? You were performing a rotation! In math, rotations are just the same! Check out this tutorial to learn about rotations.

#### What is a Translation?

Ever slide something across a table? If so, then you have performed a translation! In this tutorial, learn the definition of translation and see some really neat examples. Take a look!

#### What is the Triangle Sum Theorem?

When you're dealing with triangles, the Triangle Sum theorem can be very useful in finding interior angle measurements. In this tutorial, learn how to find this helpful theorem!

#### How Do You Put Real Numbers in Order?

Ordering numbers from least to greatest? Are the numbers in different forms? To make comparing easier, convert all the numbers to decimals. Then, plot those decimals on a number line and compare them! This tutorial shows you how!

#### What is the Formula for the Volume of a Cylinder?

Did you know that you can use the formula for the area of a circle to find the formula for the volume of a cylinder? In this tutorial, you'll see how to do just that! Watch this tutorial to learn about the formula for the volume of a cylinder.

#### What is the Formula for the Volume of a Cone?

Looking for the formula for the volume of a cone? Then check out this tutorial! You'll learn about the formula for the volume of a cone and see how to use the formula in an example. Take a look!

#### What is the Formula for the Volume of a Sphere?

Trying to find the formula for the volume of a sphere? Then check out this tutorial! You'll see how to use a cylinder with the same dimensions to find the formula for the volume of a sphere. Take a look!

#### What is the Formula for the Surface Area of a Prism?

To find the lateral and surface areas of a prism, itâ€™s important to know their formulas. In this tutorial, youâ€™ll learn about each of these formulas and see them used in an example. Check it out!

#### What is the Formula for the Surface Area of a Cylinder?

To find the lateral and surface areas of a cylinder, itâ€™s important to know their formulas. In this tutorial, youâ€™ll learn about each of these formulas and see them used in an example. Check it out!

#### What is an Unbiased Sample?

When you're trying to learn about a population, it can be helpful to look at an unbiased sample. An unbiased sample can be an accurate representation of the entire population and can help you draw conclusions about the population. This tutorial introduces you to unbiased sampling!