Education: Page 12

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to calculate sample distribution in statistics.

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to calculate the mean and variance of a Bernouilli distribution.

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to find a 95% confidence interval in statistics.

Michael Faraday was an English chemist and physicist - a bona fide electromagnetism and electrochemistry genius. Without him, men couldn't walk on live electrical wires. Wait, what?

In this tutorial we learn how to multiply decimals together. Start off by ignoring the decimal points on the equation and just imagining you have normal numbers. Then, multiply the two numbers that you wrote down together. Once you figure that out, it will be time to reintroduce the decimals. Look at the place the decimal is in each number in the beginning equation. Then, add the decimal places together between each of them. From here, place the decimal on the end of the answer you came up with...

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...

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 left...

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 of...

In this video, we learn how to find the volume of a swimming pool. To do this, you will first need to find the measurements of all the sides that are on the pool. After this, you will plug in the measurements that you found into the equation to find the volume. This equation is: V=AH, volume= area(height). So, plug in the area and the height to the equation for A and H and then multiply these two together. Once you do this, you will find the answer! Don't forget to label the units on the final...

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. This video basically just solves a sample fractional equation. The equation is stated and adjusted accordingly to make it easier to solve. The fractional powers on both the sides of the equation are then removed by applying an appropriate mathematical function. Finally,...

This video is aimed at beginner level viewers and shows one of the basic techniques involved while solving linear equations having one variable.

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 in...

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...

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. The solution to such type of problems is easy and simply involves factorizing one side using a basic algebraic formula (The formula is a^2 - b^2 = (a + b) (a - b) ). We will thus obtain two linear equations for the variable (in the form given above) which must be in turn, equated to zero. The...

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...

Factor a trinomial by grouping In order to factor a trinomial by grouping you must have four terms. In order to have four terms, we are going to break the middle term, 15, into two pieces that can work with the first term, 4x2 and the last term, 9. We multiply 4 x 9 which equals 36. Then we have to find the factors of 36. They are 1 x 36, 2 x 18, 3 x 12, 4 x 9, and 6 x 6. 3+12 equal 15, so this is the factor we'll use to replace the 15, middle factor. We will rewrite the problem as 4x2 +...

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 sure...

In this tutorial, we learn how to make hydrochloric acid from salt. First, you will pour some salt into a distil flask. After this, you will add in some concentrated sulfuric acid to the salt. Next, you will let these react with each other. You will start to see gasses bubble up and the excess hydrogen chloride gas come out through the top of the tube. To create a stronger reaction, you can add heat underneath the reaction. Then, test this by exposing it to ammonium chloride. If it's the right...

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 open...

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...

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...

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 with...

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 in...

In this video, we learn how to shrink plastic with household materials. You will need: tin foil, plastic container, scissors, glove, and colored markers. To start, you will preheat the oven to 325 degrees. Then, cut a piece of the plastic out in a square shape. Next, draw whatever you want onto your piece of plastic. Make it as colorful as you would like to! When finished, put this in the oven using a glove. Make sure it's on the foil when you put it in. Then, leave it in for less than a minute...

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. All you need is a card stock paper, a wooden skewer, a rounded lid, a utility knife, a hole punch and scissor and clear tape / gum. Using all these materials you would be creating a object that rotates on the rounded tip of the skewer. The strips of card...

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 you...

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...

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...

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. The method to do so consists of adjusting the C term (a normal quadratic equation is of the form Ax^2 + Bx + C) by manipulating the equation itself. By adding a calculated value to both sides of the equation, the terms on the left hand side may be reduced to a perfect square (Hence it is named the method of perfect...

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 keep...

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,...

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...

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...

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 the...

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....

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!

In this home-science how-to from Household Hacker, we learn how to create an exothermic reaction by combining sulfur with iron, producing iron sulfide in the process. For all of the details, including step-by-step instructions, as well as to see what happens when these two elements meet, watch this video guide.

In this home-science how-to, we learn how to synthesize copper hydroxide Cu(OH)2 using copper metal and the electro-chemical approach. For detailed, step-by-step instructions, and to get started making your own copper hydroxide, watch this video guide form YouTube user sciencoking.

And the magic is revealed ten seconds in! Disappointed? Me, too. Such a simple explanation. Those first 10 seconds were so convincing...

In the mood for a little mad science? In this home-science how-to from Steve Spangler, we learn how to prepare a bubbly, color-changing concoction using water, ammonia, a universal indicator (cabbage juice will do fine), dry ice, gloves and two plastic cups. Now, repeat the process, this time adding a teaspoon of ammonia when you add your universal pH indicator.