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Math Concepts Explained



Do you need help in math? Easy-to-follow explanations of math topics using simple language and demonstrations.



Updated: 2018-01-01T08:11:00.243-08:00

 



Google's Free Online Calculator

2014-06-28T09:02:11.852-07:00

I've put up a new post over at The Numerist that talks about Google's free online calculator that is available for everyone to use and enjoy! Please visit my site to find out more, and be sure to Like it on Facebook as well! You can read my post here: http://thenumerist.com/google-free-online-calculator/(image)



Top 5 Most Popular Posts of May

2013-06-01T23:09:06.432-07:00

Another month has come and gone, so it's time to look back and tally up the page views and rank my top 5 most popular posts of May! There are few surprises once again, as it seems like my most popular material is REALLY popular, and everything else is just trying to keep up. Maybe I should consider doing a "10th place to 5th place most popular posts" write up, and maybe we'd get some different (image)



Differentiation Rules - Finding the Derivative of a Difference of Functions

2013-05-17T22:23:52.799-07:00

This post continues along in my series on calculus differentiation rules, this time talking about how to find the derivative of a difference of functions. I hope you read my last post, which applied to sums of functions, because it is nearly the same situation when you are subtracting. I'm not going to go into the same level as detail as I did there, so I highly recommend you go back and give (image)



Differentiation Rules - Finding the Derivative of a Sum of Functions

2013-05-09T21:15:21.662-07:00

Welcome back to my introductory calculus series on differentiation formulas.  For those who are playing along at home, I have explained several rules so far and am going to add another one today.  If you've missed those posts, then I highly encourage you to go back and take a look at them to familiarize yourself with these basic concepts.  (So far: here, here, and here.  Or just check my table of(image)



Happy Fibonacci Day!

2013-05-09T14:54:00.379-07:00

I know this may be a little late in the day, but I just realized that today's date is actually a Fibonacci sequence!  That's right, today's date is May 8, 2013, or written another way, 5/8/13! For those who don't know, the famous Fibonacci sequence is starts off with the numbers 0, 1, and then continues by adding numbers that are equal to the sum of its preceding two numbers.  So, the classical (image)



Differentiation Rules - Finding the Derivative of a Constant Times a Function

2013-05-09T20:37:40.388-07:00

In this post I'm going to explain another one of the differentiation rules for working with derivatives.  This time, I will show you how to find the derivative of a constant times a function. In case you have missed them, I am creating a series of posts that explain some basic concepts in differential calculus.  So far, in my first lesson I explained how to find the derivative of a constant (image)



Top 5 Most Popular Posts of April

2013-04-30T21:22:07.495-07:00

It's that time of month again - time for a recap of my top 5 most popular posts of April!  Once again, the top 5 are dominated by several of the usual favourites.  However, spot number 5 is a newcomer!  I'm happy to see that I have several pieces of content that are so routinely visited, but I also am very pleased to see new posts crack the top 5 as well from time to time.  If you missed these (image)



Differentiation Rules - The Power Rule

2013-05-09T20:32:40.021-07:00

Welcome to my second post of my series on differentiation formulas.  So far in my recent posts, I have explored in depth all about the concept of derivatives and using differentiation to find them, and then I started this current series with an easy theorem to remember for finding the derivative of a constant function.  This follow-up post will now explain to you probably one of the most used (image)



Differentiation Rules - Derivative of a Constant Function

2013-05-09T20:39:28.975-07:00

For those of you just tuning in, my last post was a mega-post about derivatives and an introduction to differential calculus.  If you need some help getting started with understanding how to find derivatives, I highly recommend giving that a read.  One impression you may have of this concept is that it requires a lot of work - lots of lengthy formulas and limit calculations.  While you could (image)



Derivatives and an Introduction to Differential Calculus

2013-04-12T11:15:20.945-07:00

One of the main concepts studied in the field of differential calculus is based on the notion of change - specifically, how one quantity changes compared to another.  Perhaps a more succinct version of this physical definition would be "rate of change."  Alternately, a geometric definition could simply be the slope of a curve at a particular point.  The underlying key to this branch of (image)



Top 5 Most Popular Posts of March

2013-03-30T23:33:43.135-07:00

I think I'm starting to see a trend with my posts! The top 5 most popular posts of March are a slightly shuffled variation of my top posts from February (you can take a look at those results here: http://sk19math.blogspot.com/2013/03/popular-posts-february-2013.html). There was a chance that one of those 5 might have dipped and allowed a new star post to rise, but alas, this was not the month (image)



The Midsegment Theorem

2013-03-27T21:49:22.501-07:00

A while ago, I posted a very popular post that explained how to calculate the midpoint of a line. A lot of people have viewed that page, and so I thought that this somewhat related story might also be equally as interesting for my viewers. Guillermo, over at "Proofs from the Book," has recently posted an interesting discussion about the Midsegment Theorem, which deals with the line that connects(image)



It's Pi Day 2013!

2013-03-14T07:46:32.806-07:00

Happy Pi Day 2013 everyone! To most of my regular followers, they know exactly what I'm talking about. To many others though, they may think I'm crazy or talking about some special dessert day and wonder if the pie comes with ice cream or whipped cream. Well, I guess if you're really into it, you could celebrate Pi Day with pie. Why not, right? Pi Day, of course, comes once a year - on March 14(image)



The Definitive Guide to Domain and Range

2013-03-14T11:15:52.029-07:00

When working with functions and their graphs, one of the most common types of problems that you will encounter will be to identify their domain and range.  This isn't necessarily a difficult problem to solve, once you know what domains and ranges actually are!  After all, these terms sound like they belong in geography or cartography, or a National Geographic magazine!  However, rest assured that(image)



Top 5 Most Popular Posts of February 2013

2013-03-01T21:30:31.580-08:00

Another month has come and gone, so in trying to maintain my new year's resolution, here is my monthly summary of my top 5 most popular posts of February 2013.  This is tabulated simply from the number of visitors each page on my blog receives.  I have recently started a Facebook page for my site as well, so eventually I would like to have these "best of" posts reflect the most shared or most (image)



Understanding Point Slope Form

2013-03-14T11:14:40.992-07:00

When you are graphing straight lines, one of the most common formats for describing the equation of the line is called "point slope form."  In this representation, the equation identifies one ordered pair that is on the line, and the slope.  If you were given only those pieces of information, you would have all that you would need to construct the line.  Continue reading to learn more about this (image)



The Largest Known Prime Number

2013-02-20T23:01:55.752-08:00

Quick!  How many prime numbers can you recite, starting at 2 (1 is not prime!)?  Let's see... 2, 3, 5, 7, 11, 13, 17, 19, 23... the further you go, the more you have to think about it, right?  What you have to consider is whether each number you evaluate is only divisible by itself and 1, or if it can be divided by other numbers.  If it's only 1 and itself, you've found a prime number!  But as (image)



Free Online Courses with Credits - Update

2013-02-09T01:08:03.083-08:00

In one of my recently published posts here on my site, I discussed some options available for people looking to find free online courses with certificates.  Massive open online courses (MOOCs) have had an increasing role in education discussions over the last couple of years, and world-class institutions such as Harvard and Stanford now offer their own versions of distance learning degrees.  In (image)



Sheldon Cooper's Clock and Equation Watch

2013-02-05T20:33:07.128-08:00

This one is for all the hardcore math nerds out there.  No normal person is going to have these in their life!  I have seen these several times over the last few days, and thought that my math blog would be the perfect place to repost them! As anyone who watches The Big Bang Theory knows, Dr. Sheldon Cooper is a theoretical physics genius.  Therefore, it would almost be expected that if you were(image)



Top 5 Most Popular Posts of January 2013

2013-01-31T22:44:24.399-08:00

As a new feature I am adding to my site, at the end of every month I am going to review my traffic data and then present my most popular posts.  In case anyone misses the posts on their original publications dates and then falls behind on my blog, this will now give them another chance to see the articles that the most readers are talking about.  So, without further ado, here are my top 5 most (image)



Free Online Courses with Certificates

2013-01-29T23:10:23.435-08:00

Instead of presenting a math concept in this post, I would like to provide a bit of information for those interested in free online courses with certificates.  Many of the visitors I get to this site are students currently enrolled in their traditional school math programs, and they simply need help understanding their homework or a particular new topic they learned.  Other visitors may be more (image)



New Site Milestone! 600,000 views!

2013-01-27T14:21:50.728-08:00

I don't have any new math concepts to present in this post.  Rather, I just want to announce that my site has reached another milestone, because as of this morning it has received more than 600,000 views!  That's a lot of traffic, and has come a long ways since I started.  So, I just want to send a brief thank you to everyone who has ever come by my site or contributed in any way, especially (image)



Mathematics and Multimedia: Partner Blog Highlight

2013-01-24T11:56:46.152-08:00

In this post, I'd like to highlight a very well done math blog called Mathematics and Multimedia, a site that is maintained by Guillermo Bautista and is now a partner blog of Math Concepts Explained.  The material that he posts on his site discusses a wide variety of mathematical concepts that span the whole K-12 range of grades, and also into university levels.  He also blogs about alternative (image)



Japanese multiplication method

2013-01-16T23:29:38.914-08:00

There is a bunch of videos going around lately that seem to be very popular, which demonstrate a style of Japanese multiplication.  It is quite visual, and I would argue that more complicated products could require even more work than traditional (at least, what I consider traditional) methods.  In any case, it is a very interesting process that you could use to impress your friends and family, (image)



20+ Free Math Worksheet Sites for Teachers

2013-01-24T20:58:11.272-08:00

In a recent blog post, I put out a call for recommendations of sites to include in my resource for math worksheets that I hoped to create.  I had several people respond to me, either by commenting here on my blog, through my new Facebook site, or through Twitter.  Thank you to everyone who contributed!  I don't know if this will ever be known as "THE math worksheets site," (though that would be (image)