Hot Education Posts
How To: Graph an equation
In this video, we learn how to graph an equation. First, pick a point out of the equation and see if it's a solution to the equation. This equation shows where two lines cross in the math problem. See if the two coordinates are part of the line that is on the equation. The two numbers are going to be the 'x' and 'y' that you plug into the equation. Once you have these written out, you will be able to graph them using the coordinates on the graph. Once finished, you will have graphed the equat...
How To: Multiply and simplify square roots
In this tutorial we learn how to multiply and simplify square roots. When you multiply square roots, you will first need to put them under one radical. From here, you will need to factor out what you have. Once you find a perfect square, find the square root of it. You can either write these as all separate equations or pull the perfect root on the outside of the other parts of the equation. Do the math until you find what you are left with. From here, you can do basic math to find what's lef...
How To: Graph a circle
In this tutorial, we learn how to graph a circle. When given an equation to graph the circle, you will first need to find the vertex of the circle. Once you find this, you can use those coordinates to mark the vertex on the graph. Follow the negatives and positives to go up, down, left, and right on the graph. Next, you will need to find the 'r' value of the equation. After this, you will use this to continue to graph the rest of the points around the vertex. When finished, draw the outline o...
How To: Take an acid and base to make salt
In this tutorial we learn how to take an acid and base to make salt. To start, you will first need to take an acid of your choice, this can be something like vinegar. After this, you will combine the acid with a base and then wait for it to react. Once it starts to react, gases will release from them and you will end up with some salt! Be sure to put a cap on the container while the reaction is happening. This will allow the reactions to come together and the gases to react. Have fun and do t...
How To: Solve an equation with fractional powers
Solving equations involving fractional powers of a variable are not that hard to solve as they sound. In fact, just watch this video to learn a few tips and solving these type of equations will become a little bit easier.
How To: Subtract decimals
In this video, we learn how to subtract decimals. If you can subtract using basic numbers, then you will be able to subtract decimals. First, you will line up the tens and the other units of the numbers. Once this is finished, you will start to take away the top number from the bottom number. Borrow from the number to the left if you need to, then write down what you are left with on the bottom. Once you come up with your number, make sure you place in the decimal point where it goes. All you...
How To: Solve multi-step equations with variables on both sides
This video is aimed at beginner level viewers and shows one of the basic techniques involved while solving linear equations having one variable.
How To: Subtract rational expressions
In this video, we learn how to subtract rational expressions. To start, you will need to find common denominators. To do this, factor out the denominators in the fractions on both sides of the equations. Now you need to build the lowest common denominator for these two fractions. To do this, take the first denominator and take whatever is missing from the second. After you do the math for this, you will build new fractions with the common denominator as the denominator. Leave the denominator ...
How To: Balance chemical equations using a simple method
In this video, we learn how to balance chemical equations using a simple method. Start out by writing your two chemicals next to each other. After this, you will need to write out how much of each atom each of the chemicals has. Now you will have a better idea of how you need to balance out each of the different equations. Make a chart of all the elements that are involved, then you can solve it. Use simple addition to add together the atoms of each and then write out the correct answer in th...
How To: Fireproof a balloon
In this tutorial, we learn how to fireproof a balloon. Usually, if you bring fire to a balloon it will pop, but there's a way to avoid this! First, get your balloon and place it around the nozzle of your sink. Then, fill it up with water until you have a decent amount of water. Now, blow some air into the balloon and tie at the end. From here, put your balloon to the test! Place a lighter underneath the balloon to see how it reacts. It should not pop like it did before. The water will absorb ...
How To: Factor differences of squares
A video that demonstrates one of the basic techniques involved in factorizing an equation that contains the difference of two terms which are also perfect squares themselves and are equated to 0.
How To: Understand angle relationships
In this tutorial, we learn how to understand angle relationships. Start out by drawing an angle out and looking at the different parts of it. From here, you will start to find where the different angles are. Linear pairs equal 180 degrees and are on a straight line. Once you learn this, you can write them out on the paper. Supplementary angles equal 180 degrees as well. Two angles that add up to 90 degrees are complimentary angles. Once you learn the relationships between angles, you can bett...
How To: Understand completing the square
In this video, we learn how to understand completing the square. First, you will write the quadratic expression out. Then, you will write the open bracket so you write it out in the correct format. Now, find the number in front of the 'x' term, which is the coefficient. Then, write this number on the other side of the equation in the parenthesis. From here, you will need to follow the proper rules of math to find out what the square is equal to. When you are finished, make sure you label the ...
How To: Factor a trinomial by grouping
Factor a trinomial by grouping
How To: Understand negative exponents
In this video, we learn how to understand negative exponents. The one rule you have to remember is when you have a number with a negative power, then you need to divide it over one. You can take this term and put it in the denominator of your fraction to make it a positive exponent. For example, if you have 5 to the -1, then you can move the 5 to the denominator and get 1/5, which is the same exact thing! This is one of the most basic rules in math. Once you understand this, simplifying fract...
How To: Write in cursive
In this video, we learn how to write in cursive. When you are writing in cursive, you will want the angles of your letters to flow together so you can connect one letter to the next without stopping your pen or pencil. The capital letters and lower-case letters will all look different from one another. Practice writing out each of the betters with their upper and lower-case to get a feel for how to write them out correctly. Once finished, start to write easy and simple small words and make su...
How To: Convert numbers in and out of standard form
In this video, we learn how to convert numbers in and out of standard form. Standard form is a useful way of writing down very large numbers and very small numbers. To do this, you will look at the number you have and ignore the zeros that are just at the end. Then, write down the basic numbers. Put a decimal point in this number to make it between one and ten. Now, write down x 10 and put the power for how many places the decimal point moved to get to the new number. This will help you write...
How To: Graph inequalities on a number line
In this video, we learn how to graph inequalities on a number line. Inequalities have a greater than or less than sign instead of an equal signs. Remember that these are no different than figuring out how to graph normal equations. First, you will need to remove the single numbers from each side of the equation. Continue to do math on the equation until you figure out what 'x' is. From here, draw the numbers on your graph and then find the number that 'x' is greater to or less than. Use an op...
How To: Add rational expressions
In this tutorial, we learn how to add rational expressions. When you have two rational expressions, you will first need to factor every denominator. After this, find the lowest common denominator from all of them. After this, rewrite every fraction so it has the lowest common denominator for the denominator. Leave it in factored form for the denominators. Multiply the top and the bottom to find the answer for each of the fractions in the equation. When finished, make sure you find the most si...
How To: Rationalize square roots
In this tutorial, we learn how to rationalize square roots. You cannot have square roots in the denominator of an equation. You need to multiply so the square root goes away. You can do this by multiplying the top and bottom of the equation by the bottom denominator. From here, this will make the square root go away, so your equation will be normal numbers. After you have done this, you will have the equation answered and you will be able to simplify it to find the end answer. You can do this...
How To: Build a wave machine out of household items
In this tutorial, we learn how to build a wave machine out of household items. You will need: 20 straws, 40 paper clips, 2 pieces of tape, and 1 washer to make this. First, you will need to pull out a long string of tape and lay it down with the sticky side up. After this, you will need to stick the straws on top of the tape in a row all going next to each other. Do this from the top to the bottom until all of the straws are stuck on. Then, stick the washer to the top and you are finished wit...
How To: Graph a parabola
With this tutorial, we learn how to graph a parabola. The way you can tell it's parabola is that the 'x' value will be squared. With a line, 'y' and 'x' are not squared. The 'a' is the number in front, which will also be the coefficient in the graph. 'B' will be the number following that and 'c' will be the last number. Once you identify these, remember that they are always numbers. From here, you can draw out your graph. Follow the numbers that you just listed and then you can graph it out c...
How To: Calculate a limit at infinity with a radical
In this video, we learn how to calculate a limit at infinity with a radical. The idea is to take out the higher power of 'x' in the denominator first. If the x squared is under a radical, take that out so you're left with just 'x'. After this, divide every term by 'x'. Once you are finished with this, you can rewrite the equation. Next, you will use the rules of math to find the answer of the equation. This is hard math to do if you aren't used to it! Make sure you practice with the samples i...
How To: Use inductive reasoning
In this tutorial we learn how to use inductive reasoning. Start out with your equation that is giving you your statement. You need to prove whether this is true or not by figuring out the equation. Look at the different angles to see if they are a linear pair and then see if they are the same. Compare them to see if they add up to 180 degrees and use your mathematical logic. Once you understand the backbone to doing this type of math and what the exceptions are, then you will be able to figur...
How To: Study planetary bulge with a science experiment
It is a well known fact that due to the rotation of the Earth about its own axis has a bulging effect on the equator and a slight flattening effect at the poles. This experiment tries the reproduce the same effect using simple materials.
How To: Understand the properties of real numbers
In this video, we learn how to understand the properties of real numbers. Natural numbers start at one and continue on and on. Zero is not a natural number. A whole number is just like a natural number, except it includes zero. Integers are the negatives included with whole numbers. There are no decimals included in integers. Integers also include positive numbers and no decimals with them, just whole numbers. Rational numbers are fractions and all decimals that end at a certain point. Once y...
How To: Find the arc length of a function
In this tutorial, we learn how to find the arc length of a function. All you're doing when finding arc length is finding the curve between 'a' and 'b'. Imagine this as a string you're pulling straight to see how long it is going to be. The formula says if your function is in 'y=x' you have to take one times the derivative squared. This is a basic formula that you will use to find the arc length. When you plug in your values to this equation, you will find the answer. Practice with the example...
How To: Graph a parabola
In this tutorial, we learn how to graph a parabola. Quadratic functions are parabolas. To graph these, you will first need to look at the function, which is the set of outputs for a set of inputs. Write this out on a t-chart to find what your 'x' and 'y' values are. Once you find these, you will plug in the coordinates to a graph. After you have written down the coordinates, you can graph your parabola. This is easy to do if you are familiar with quadratic functions and good at math. Just pra...
How To: Determine if lines are parallel or perpendicular
In this tutorial, we learn how to determine if lines are parallel or perpendicular. You will be given two straight line equations. First, remember that parallel lines have equal slope, identical to each other. Perpendicular lines have negative reciprocal slopes. For example, 2/3 and -3/2 would be a perpendicular line. If you think of parallel lines, then you can graph them to see what they look like when written down. Then, graph the other lines to see what they look like as well. Once you un...
How To: Put rational expressions in lowest terms
Putting a rational expression in its lowest terms (also called "reduction") is a bit tricky, but it becomes very easy once you know a few tricks.
How To: Complete the square
Quadratic equations are easy to solve when they can be factorized. This video teaches another method of solving a quadratic equation when its not easy to find factors for it.
How To: Build parachutes with household materials
In this video, we learn how to build parachutes with household materials. You will need: a long string, Mylar, mesh, plastic, scissors, tape, and a weight. To get started, you will first cut your plastic or mesh into a circle or octagon shape. Then, take your string and cut it into several pieces. Then, tape the strings onto your material all around. After this, tie your weight to the strings so it's fully secured. Now, go to somewhere high and throw down your item! The parachute will help ke...
How To: Subtract rational expressions
In this tutorial, we learn how to subtract rational expressions. If they have different denominators, you will first need to get them the same denominator. To do this, you will need to find the lowest common denominator. Factor the denominators that you have and figure out what the lowest common denominator of each of them are. From here, you can simplify the rational expressions in your equations. Next, you can go across the board and subtract the fractions from each other. To finish this up...
How To: Do a cohesive personal statement
In this tutorial, we learn how to do a cohesive personal statement. If you are a student and need to write your personal statement, get started on it early so you have a while to work on it! Start out by working backwards, which means to start with your life now and then building up to how you plan to achieve further goals. You need to make sure this is short and you also need to make sure you don't brag about yourself. If you are wanting to travel abroad, make yourself stand out from other p...
How To: Add fractions together
In this video, we learn how to add fractions together. First, try doing a simple equation like 1/2 + 1/2. From here, you will simply just add together across the board. Once you get the answer, it will be 2/4, but you must simplify this so it's lower. Check this and do the reverse to make sure it's correct. Do this for all of the fractions that come your way and you will be doing fractions more easily each time! Just make sure you simplify when you reach the end, or the answer will not be cor...
How To: Find the formula of a given sequence
In this tutorial, we learn how to find the formula of a given sequence. First, you need to decide what you're starting with. Start with a1, then continue on with a2, a3, and a4. Eventually, you will have an "An". You will have an "n" in your numerator and the denominator will start between the numbers of your fractions. Look to see if that works, then you have to see where the signs alternate on the fractions. Write in any negatives that you have, then figure your power out. Once you follow t...
How To: Star gaze with your kids
In this video, Daddy Troy teaches us how to star gaze with your kids. This can get your kids interested in space and teach them a thing or two, while still having a good time. First, Google offers a service called Google Earth, which will show your child the entire earth, moon, and mars. Kids can use these programs just like a video game. They can see real pictures as well as their own home or grandma's home. This is free and a lot of fun! Next, you can see satellites with your naked eye in t...
How To: Identify number types
In this video, we learn how to identify number types. You will need to figure out what numbers from a list is a rational numbers in your math equations. A natural number is a counting number (1,2,3). A whole number is a natural number and zero (0,1,2,3). An integer is a whole number and a negative whole (-2,-1,0,1,2). A rational number is any number that can be expressed as a ration of integers. An irrational number is any number that's not rational and non-perfect. Once you understand these ...
How To: Determine if you have a function
In this tutorial, we learn how to determine if you have a function. You will start off with two functions and their points. The 'x' values make up the domain of the function and the 'y' values make up the range. The input values are the domain and the output are the range. If you're checking to see if you have a function, you will need one 'y' for every 'x'. This means that each value has another one that goes with it. Each of the points need to have one partner with them, no more and no less...
How To: Rationalize the denominator
In this video, we learn how to rationalize the denominator. This says that if there is a square root or any type of root, you need to get rid of them. Look at the examples given in the video to get an idea of what types of roots you will be removing and how to do it. To get rid of a square root, all you really have to do is to multiply the top and bottom by that same square root. Do this on all of your problems with a square root and they will be gone in just a matter of minutes!