Hot Math How-Tos
How To: Solve proportions
This video describes about how to solve multiple proportions. The first step describes how to cross multiply and solve the equation. There are three proportions solved in this video and they are explained how to arrive the final answer. The first step is multiplying the denominator with the opposite numerator and an answer is arrived and again the same is multiplied to arrive a final answer. Two more proportions are solved in the same manner. The video camera is focused on the white board in ...
How To: Derive the area of a circle
This video is about deriving the area of a circle of radius 'r' using polar co-ordinate. First, we draw a circle and its radius 'r'. Then draw another radius close to it, so that it forms a small triangle-like figure. To find the area of the complete circle, divide the circle into similar small triangles. The area of each triangle is given by half the product of its perpendicular and the base. We give the angle between the two radii as d?. We get the area of the small triangle by substituting...
How To: Multiply 2 digit numbers using the grid method
This video shows the method to multiply two digit numbers using the grid method. First make a grid of three rows and three columns. Put a cross in the first row and first column or the (1,1) position. Separate the ones and the tens in the number. In our example 43 is broken into 40,3 and 56 is broken into 50,6. Put these numbers in the remaining places in the first row and first column. Now multiply every number with the other and place it in the corresponding location in the grid. In our exa...
How To: Divide real numbers
This video illustrates the method of dividing real numbers. The process is composed of the following steps -Step 1Take any two real numbers. Convert them to rational numbers taking denominator as one.Step 2Find the LCM of their denominators and multiply both the numerators and denominators by the LCM.Step 3Now find the reciprocal of the second number and move to the next step.Step 4Now divide the numerators obtained. The denominator are also to be divided and the quotient obtained should be r...
How To: Define an indefinite integral in calculus
In this video tutorial, viewers learn how to define an indefinite integral in calculus. Finding the anti-derivatives of a function is called anti-differentiation. The f(x) is the derivative of F(x), while F(x) is the anti-derivative of f(x). If F(x) is the anti-derivative of f(x), then F(x) + c are all anti-derivatives of f(x). This video is very descriptive and clearly explains all the functions of this mathematical function. This video will benefit those viewers who are students, and are in...
How To: Solve percent proportions
A percent problem is one in which you are given a quantity and asked to compute the value of a percent of it. You may also be given the whole quantity and a part of it and asked to compute the percentage of the part in the whole. To do these kind of problems you need to use the rule which states that the ratio of the part to the base it equal to the ratio of the percent to hundred. That is part/base = percent/100. This comes from the definition of percentage which states that percentage is eq...
How To: Solve word problems using proportions
This video shows the method to solve word problems using proportions. In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This can be solved using proportions. We take two fractions which are equal. We type '30 words' in the numerator of the first fraction and 1 minute in its denominator. This fraction must be proportional to the second fraction. The second fraction has '390 words' in the numerator and the variable ...
How To: Simplify exponential expressions via the quotient rule
This video demonstrates the quotient rule as applied to exponential expressions that appear in the form of, to use the word loosely, a fraction. The name, "quotient rule", refers to the fact that it applies to expressions which are divided by other expressions. The video begins by explaining that the quotient rule allows expressions in this form to be simplified if they contain like bases (i.e., the terms are of the same variable). The quotient rule allows the expression to be simplified by s...
How To: Do long multiplication
In this video the instructor gives you sample as of how to SLEP long multiplication. You start by breaking the numbers up to simpler forms. If you have a two digit number that your multiplying by a another two digit number you multiply the first two digit number and then buy the second digit of the second two digit number. You have to remember to carry the remainders. You then add your two multiplicative lines together giving you the sum. this can be done to cover any set of multi-digit numbe...
How To: Factor out when doing rational expressions in algebra
This video shows the method to simplify rational expressions. The example used in the video is multiple of 4 and x square plus multiple of 4 and x plus 1 or (4x^2 + 4x + 1)/(2x^3 + 11x^2 + 5x). As the first and last term is a perfect square we get the simplified numerator as (2x + 1)(2x + 1). Next, the denominator is simplified. Taking the common factor out we get x(2x^2 + 11x + 5). Now we factorize 2x^2 + 11x + 5. We get (2x + 1)(x + 5 ). Now, writing the terms in numerator and denominator w...
How To: Use differential equations to solve for velocity
The guy first gives the definition of differential equations. He explains that a differential equation is an equation that contains the derivatives of an unknown function. He then gives some examples of differential equation and explains what the equation's order means. After that he gives an example on how to solve a simple equation. He calculates it and gives examples of graphs. Then he explains what a general solution is and how to narrow down the number of solutions using data from the pr...
How To: Build a giant geoboard with your kids
Geoboards are fun tools to teach your child the basic concepts of shapes and how they work in math; any kid would love a gigantic one! Firstly, you need to obtain a pegboard (what they hang merchandise on in hardware and similar stores). They usually come in 4x8' sheets, so you may need to ask an employee to cut one into fourths for you. The fourth piece should have 64 holes in 8 rows of 8, which means you need 64 nuts and bolts to make the board. Assembly is a no-brainer; you and your kids s...
How To: Reduce a fraction to its simplest form in basic math
Fractions are numbers of the form a/b, where a and b are integers. Fractions are also called as ratios. Fractions are further divided into proper fractions and improper fractions. Proper fractions are those where the numerator is less than the denominator and improper fractions are those where the numerator is greater than the denominator. As fractions are ratios a fraction can have many equivalent forms. Multiplying the numerator and denominator of a fraction with a same number gives a fract...
How To: Simplify exponential expressions in basic algebra
The video shows how to solved mixed property problems using the exponent rules. See if there are any rules you can apply to the problem until you get to a point where you can't simplify anymore. The instructor shows in the example problem that the two bases are the same, but there is extras happening the numerator. The power to power multiply rule is applied removing the extra issues from the numerator. Next the quotient rules is applied as there is the exact same base to the power so we keep...
How To: Simplify an exponential expression in algebra
In this Education video tutorial you will learn how to simplify an exponential expression in algebra. There are neither audio nor typed instructions in this video. It is a demonstration of the steps involved in the process. To do this, simply expand the exponentials and then multiply or divide in steps to solve the problems. These are illustrated by a few examples in this video. 3^5 = 3x3x3x3x3 = 9x9x3 = 81x3 = 243. X^6/ X^2 = (x.x.x.x.x.x)/ (x.x) = x^4. 7^2 x 7^15 / 7^13 = 7^17 / 7^13 = 7^4....
How To: Find the antiderivative of a function
This video shows you how to find the antiderivative of a function. By definition, the F(x) is an antiderivative of f(x) means F’(x) = f(x). The small f is a derivative of the capital F, and the capital F is an antiderivative of the small f.
How To: Calculate azimuth in trigonometry
Azimuth is simply the angle of an object in the sky along the horizon. Yes, it's spherical trigonometry but it's not difficult! Check out this video and in just a few minutes you will be able to solve azimuth problems on your own.
How To: Solve the discriminant of quadratic equations
This video walks you through the steps of understanding what is the discriminant of quadratic equations. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve quadratic equations by square roots
This video walks you through the steps of solving quadratic equations by square roots. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve a quadratic equation with a graphing calculator
This video walks you through the steps of solving quadratic equations with a graphing calculator. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Graph quadratic functions
This video walks you through the steps of graphing quadratic funtions. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Factor by grouping and factoring completely
This video walks you through the steps of factoring by grouping and completely. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Factor special products
This video walks you through the steps of factoring special products. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Factor quadratic expressions
This video walks you through the steps of factoring quadratic expressions. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve polynomial equations in factored form
This video walks you through the steps of solving polynomials in factored form. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve binomials
This video walks you through the steps of solving and understanding binomials. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Multiply polynomials
This video walks you through the steps of multiplying polynomials. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Find least common multiple in rational expressions
This series walks you through the steps of finding the least common multiple in rational expressions. This excellent video shows you a clean board, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Multiple and divide rational expressions
This video walks you through the steps of multiply and divide rational expressions. This excellent video shows you a clean board, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Add and subtract rational expressions
This series walks you through the steps of adding and subtracting rational expressions. This excellent video shows you a clean board, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve area of inscribed equilateral triangle
This video walks you through the steps of solving a problem that requires us to figure out the area of an equilateral triangle inscribed in a circle. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve a strange chess problem solution
This two part video walks you through the steps of solving a strange chess problem. Don't fret, any question you may have, will be answered. Watching this video will make you help you to solve that ever so difficult chess problem.
How To: Solve a polynomial coefficient problem
This video walks you through the steps of solving a polynomial coeffecient problem. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Prove Heron's Formula
This two part video walks you through the steps of in proving Heron's formula. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Prove an inscribed angle is half of a central angle
This video walks you through the steps to prove an inscribed angle is half of a central angle that subtends the same arc. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Make compound interest work for you
This video walks you through everything you need to know to understand compound interest. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Use geometric sum to figure out mortgage payments
This video walks you through the steps of using geometric series sum to figure out mortgage payments. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve closed line integrals on conservative fields
This three part video walks you through the steps of solving closed line integrals on conservative fields. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Use Green's Theorem to solve a line integral
This three part video walks you through using Green's theorem to solve a line integral. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Solve patterns and equations
This video walks you through the steps of solving patterns and equations. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.