acquire and demonstrate mathematical understanding



Popular Tutorials in acquire and demonstrate mathematical understanding

    • How Do You Solve a Two-Step Equation by Distributing a Fraction First?How Do You Solve a Two-Step Equation by Distributing a Fraction First?

    How Do You Solve a Two-Step Equation by Distributing a Fraction First?

    Trying to solve an equation for a variable? Are grouping symbols in the way? Watch this tutorial to figure out how remove the grouping symbols and solve the equation!

    • What are Similar Figures?What are Similar Figures?

    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!

    • What are Rates and Unit Rates?What are Rates and Unit Rates?

    What are Rates and Unit Rates?

    Can you do 100 sit-ups in 2 minutes? That's a rate! Driving a car going 40 miles per hour? That's a unit rate! Watch this tutorial to learn about rate and unit rate (and the difference!).

    • What is a Scale Drawing?What is a Scale Drawing?

    What is a Scale Drawing?

    Without a blueprint, it would be really hard to construct a building. Without a road map, you'd be lost! Scale drawings make it easy to see large things, like buildings and roads, on paper. Even a GPS uses scale drawings! Check out this tutorial to learn all about scale drawings.

    • What's the Constant of Variation?What's the Constant of Variation?

    What's the Constant of Variation?

    The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. But why is it called the constant of variation? This tutorial answers that question, so take a look!

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

    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 Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?

    How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?

    When you're trying to figure out all the possibilities from different options, it can be helpful to make a tree diagram. In this tutorial, you'll see how to use a tree diagram to figure out how many different outfits can be created from the possible shirts, bottoms, and shoes given. Check it out!

    • How Do You Find the Probability of a Simple Event?How Do You Find the Probability of a Simple Event?

    How Do You Find the Probability of a Simple Event?

    Working with probabilities? Check out this tutorial! You'll see how to calculate the probability of picking a certain marble out of a bag.

    • How Do You Find the Probability of Independent Events?How Do You Find the Probability of Independent Events?

    How Do You Find the Probability of Independent Events?

    Calculating probabilities? Take a look at this tutorial and see how to figure out the probability of independently drawing certain cards from a deck!

    • How Do You Find the Mean of a Data Set?How Do You Find the Mean of a Data Set?

    How Do You Find the Mean of a Data Set?

    Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean! To see an example of finding the mean, watch this tutorial!

    • How Do You Compare the Mean and Median of Data Sets Using a Line PlotHow Do You Compare the Mean and Median of Data Sets Using a Line Plot

    How Do You Compare the Mean and Median of Data Sets Using a Line Plot

    The mean and median can help you better understand a data set. Check out this real world example involving finding and comparing the mean and median of multiple data sets.

    • How Do You Use a Simulation to Solve a Problem?How Do You Use a Simulation to Solve a Problem?

    How Do You Use a Simulation to Solve a Problem?

    Simulators are a great way to model an experiment without actually performing the experiment in real life. This tutorial looks at using a simulator to figure out what might happen if you randomly guessed on a true/false quiz.

    • How Do You Compare Two Data Sets Using Box-and-Whisker Plots?How Do You Compare Two Data Sets Using Box-and-Whisker Plots?
    • What is a Sample Space?What is a Sample Space?

    What is a Sample Space?

    In an experiment, it's good to know your sample space. The sample space is the set of all possible outcomes of an experiment. Watch this tutorial to get a look at the sample space of an experiment!

    • What is the Fundamental Counting Principle?What is the Fundamental Counting Principle?

    What is the Fundamental Counting Principle?

    The Fundamental Counting Principle is a way to figure out the total number of ways different events can occur. In this tutorial, you'll be introduced to this principle and see how to use it in an example. Take a look!

    • What is Probability?What is Probability?

    What is Probability?

    Probability can help you solve all sorts of everyday problems, but first you need to know what probability is! Follow along with this tutorial to learn about probability!

    • What are Compound Events?What are Compound Events?
    • What is Experimental Probability?What is Experimental Probability?

    What is Experimental Probability?

    Do real life situations always work out the way your mathematical models tell you they should? No! This tutorial describes how experimental probability differs from theoretical probability.

    • What is a Simulation?What is a Simulation?
    • What are Like Terms?What are Like Terms?

    What are Like Terms?

    Combining like terms together is a key part of simplifying mathematical expressions, so check out this tutorial to see how you can easily pick out like terms from an expression

    • What is the Distributive Property?What is the Distributive Property?

    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!

    • How Do You Figure Out the Sign of a Product or Quotient?How Do You Figure Out the Sign of a Product or Quotient?

    How Do You Figure Out the Sign of a Product or Quotient?

    Multiplying and dividing numbers takes a good amount of thinking, and it's easy to make a mistake. But you can make sure that you're on the right track if you check whether the answer should be positive or negative. In this tutorial you'll see exactly how to tell if your answer will be positive or negative, even if you don't know the exact value of the answer. That way you'll always be able to check your answers!

    • What's a Rational Number?What's a Rational Number?

    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 Rewrite Subtraction as Addition?How Do You Rewrite Subtraction as Addition?

    How Do You Rewrite Subtraction as Addition?

    Subtracting a positive is the same thing as adding a negative. Subtracting a negative is the same as adding a positive. Get a closer look with this tutorial!

    • How Do You Add Two Negative Numbers?How Do You Add Two Negative Numbers?

    How Do You Add Two Negative Numbers?

    Adding two negative numbers together? Just add the absolute value of each number together, put a negative sign in front, and you have your answer! See how it's done in this tutorial.

    • How Do You Solve an Equation Using Addition?How Do You Solve an Equation Using Addition?

    How Do You Solve an Equation Using Addition?

    Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

    • What is the Formula for Simple Interest?What is the Formula for Simple Interest?

    What is the Formula for Simple Interest?

    Interest is found in a bunch of places: savings accounts, mortgages, loans, investments, credit cards, and more! Watch this tutorial and learn how to calculate simple interest!

    • What's a Percent of Change?What's a Percent of Change?

    What's a Percent of Change?

    Lots of things in this world change their value such as cars, video games, and computers. When something either increases or decreases in value, it can be useful to know the percent of that change in value. To figure out that percent, you'll need the percent of change formula. Learn it with this tutorial!

    • How Do You Figure Out How Much Something is Marked Down?How Do You Figure Out How Much Something is Marked Down?

    How Do You Figure Out How Much Something is Marked Down?

    Going shopping? Is something you want on sale? Trying to figure out the sale price of that item? Follow along with this word problem and you'll see how to calculate that price!

    • How Do You Figure Out Sales Tax?How Do You Figure Out Sales Tax?

    How Do You Figure Out Sales Tax?

    Going shopping can be tons of fun, but things can go sour when you get to the register and realize that the sales tax puts you over your budget. Always stay under budget by figuring out your total cost BEFORE you hit the check out. Watch this tutorial and learn how to calculate sales tax!

    • What's the Formula Connecting Distance, Speed, and Time?What's the Formula Connecting Distance, Speed, and Time?

    What's the Formula Connecting Distance, Speed, and Time?

    When you have constant speed, the same formula pops up over and over again, and that's the formula that connects distance, speed, and time. Make sure you know this formula, and if you want a refresher, check out the tutorial!

    • What's the Direct Variation or Direct Proportionality Formula?What's the Direct Variation or Direct Proportionality Formula?

    What's the Direct Variation or Direct Proportionality Formula?

    Ever heard of two things being directly proportional? Well, a good example is speed and distance. The bigger your speed, the farther you'll go over a given time period. So as one variable goes up, the other goes up too, and that's the idea of direct proportionality. But you can express direct proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!

    • How Do You Solve and Graph a Two-Step Inequality?How Do You Solve and Graph a Two-Step Inequality?

    How Do You Solve and Graph a Two-Step Inequality?

    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 Graph a Linear Equation by Making a Table?How Do You Graph a Linear Equation by Making a Table?

    How Do You Graph a Linear Equation by Making a Table?

    Graphing a function? It would be really helpful if you had a table of values that fit your equation. You could plot those values on a coordinate plane and connect the point to make your graph. See it all in this tutorial!

    • How Do You Find the Surface Area of a Rectangular Prism Using a Net?How Do You Find the Surface Area of a Rectangular Prism Using a Net?

    How Do You Find the Surface Area of a Rectangular Prism Using a Net?

    Finding the surface area of a prism can be a little tricky, but a net can make the problem a little easier. Make your job easier and see how to use a net to find the surface area of a prism.

    • How Do You Find the Surface Area of a Pyramid Using a Net?How Do You Find the Surface Area of a Pyramid Using a Net?
    • What is a Circle Graph?What is a Circle Graph?

    What is a Circle Graph?

    A circle graph is just one of many ways to display data. This tutorial teaches you the ins and outs of circle graphs!

    • How Do You Determine Which Operations to Use in a Word Problem?How Do You Determine Which Operations to Use in a Word Problem?

    How Do You Determine Which Operations to Use in a Word Problem?

    Turning a word problem into a math problem you can solve can be tricky. Luckily, there's some key words to look out for in a word problem that help tell you what math operation to use! This tutorial shows you some of these key words to look for in a word problem.

    • How Do You Write an Equation From a Word Problem?How Do You Write an Equation From a Word Problem?

    How Do You Write an Equation From a Word Problem?

    One of the challenges of solving a word problem is first turning those words into a math equation you can then use to solve. This tutorial takes you through a word problem and shows you how to translate it into a useable math equation!

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

    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.

    • How Do You Solve a One-Step Inequality Using Subtraction?How Do You Solve a One-Step Inequality Using Subtraction?
    • How Do You Solve a Two-Step Inequality?How Do You Solve a Two-Step Inequality?
    • How Do You Convert a Temperature from Fahrenheit to Celsius?How Do You Convert a Temperature from Fahrenheit to Celsius?

    How Do You Convert a Temperature from Fahrenheit to Celsius?

    Did you know that many countries use Celsius to talk about temperature? When you have a temperature in Fahrenheit, it's helpful to know what that temperature is in Celsius. This tutorial shows you how to perform that conversion!

    • How Do You Convert Yards to Meters?How Do You Convert Yards to Meters?
    • What are Equivalent Ratios?What are Equivalent Ratios?

    What are Equivalent Ratios?

    Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equivalent ratios.

    • How Do You Figure Out a Price Markup?How Do You Figure Out a Price Markup?
    • What is the Percent Equation?What is the Percent Equation?

    What is the Percent Equation?

    Taking a percent of a number? Percent equations can be very helpful in solving such a problem, but what are percent equations? Watch this tutorial to learn about percent equations!

    • What is the Formula for Compound Interest?What is the Formula for Compound Interest?

    What is the Formula for Compound Interest?

    Things like bank accounts, loans, investments, and mortgages are a part of life, and almost always, interest is involved. Sometimes, you need to deal with compound interest, so it would be good to know the formula for it! In this tutorial, you'll see the formula for compound interest. Take a look!

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

    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 Find a Missing Angle in a Right Triangle?How Do You Find a Missing Angle in a Right Triangle?

    How Do You Find a Missing Angle in a Right Triangle?

    Trying to find a missing interior angle measurement in a triangle? See if you're working with a special type of triangle such as an equilateral or isosceles triangle. If you are, that knowledge can help you. In this tutorial, see how identifying your triangle first can be very helpful in solving for that missing measurement. Take a look!

    • What are Acute, Obtuse, Right, and Straight Angles?What are Acute, Obtuse, Right, and Straight Angles?

    What are Acute, Obtuse, Right, and Straight Angles?

    Did you know that there are different kinds of angles? Knowing how to identify these angles is an important part of solving many problems involving angles. Check out this tutorial and learn about the different kinds of angles!

    • What are Complementary Angles?What are Complementary Angles?

    What are Complementary Angles?

    Do complementary angles always have something nice to say? Maybe. One thing complementary angles always do is add up to 90 degrees. In this tutorial, learn about complementary angles and see how to use this knowledge to solve a problem involving these special types of angles!

    • What are Supplementary Angles?What are Supplementary Angles?

    What are Supplementary Angles?

    Knowing about supplementary angles can be very useful in solving for missing angle measurements. This tutorial introduces you to supplementary angles and shows you how to use them to solve for a missing angle measurement. Take a look!

    • What are Vertical Angles?What are Vertical Angles?

    What are Vertical Angles?

    Vertical angles have a very special quality. They are always congruent to one another! Check out this tutorial to learn about and see how to identify vertical angles!

    • What are Adjacent Angles? What are Adjacent Angles?
    • How Do You Find the Area of a Composite Figure?How Do You Find the Area of a Composite Figure?

    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!

    • What is a Circle?What is a Circle?

    What is a Circle?

    Circles are a fundamental part of math! In this tutorial, you'll be introduced to circles and see the different parts of a circle such as the diameter, radius, and chord. Check out this tutorial to learn about circles!

    • What is a Net?What is a Net?

    What is a Net?

    Ever wonder what a box would look like if you unfolded and flatted it? That new picture would be called a net! This tutorial introduces you to nets, a two-dimensional version of a three-dimensional solid. Check it out!

    • What is Circumference?What is Circumference?

    What is Circumference?

    The circumference of a circle is the distance around that circle. But what is the formula to find the circumference? In this tutorial, you'll learn the formulas for the circumference of a circle. Take a look!

    • What is the Formula for the Area of a Circle?What is the Formula for the Area of a Circle?

    What is the Formula for the Area of a Circle?

    Did you know that you can figure out the formula for the area of a circle by first turning the circle into a parallelogram? It seems a little weird, but it really works! Watch this tutorial to see how it's done!

    • What is the Formula for the Volume of a Prism?What is the Formula for the Volume of a Prism?

    What is the Formula for the Volume of a Prism?

    Trying to find the volume of a prism? Did you know that there's a formula to find that volume? In this tutorial, you'll learn about the formula for the volume of a prism. Check it out!

    • What is the Formula for the Volume of a Pyramid?What is the Formula for the Volume of a Pyramid?

    What is the Formula for the Volume of a Pyramid?

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

    • How Do You Use a Sample to Make Predictions About a Population?How Do You Use a Sample to Make Predictions About a Population?
    • What is an Unbiased Sample?What is an Unbiased Sample?

    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!