Friday, August 16, 2013

Pythagorean Theorem...in Use, not Theory

My History with Pythagoras

When I was in grade school, I remember learning about the Pythagorean Theorem, how great it was, and of course, like all other math formulas, how much I would be using it in real life.  At that age, I cared about as much about the hypotenuse of a triangle as I cared about the documentaries my dad watched on TV.  UNINTERESTED.

Now I find myself feeling old because I do use it all of the time.  I’m in the real world now.  I’m not doing derivatives all day, I even had a hard time spelling derivative for this blog.  But, I do find myself using that dang Pythagorean Theorem on a regular basis.

It’s not like the story problems that we had where you had to find the height of a building or a tree, but its there, plain as day, in front of my face.  Almost every day, I use it in my daily job, and at home.
This became painfully obvious when I was visiting a customer of mine for a field test on a machine.  I design and sell mechanical and hydraulic systems for heavy machinery for construction, mining and military applications.  A lot of these machines are very large and heavy.

A Quick Reality Check Courtesy of the Pythagorean Theorem

We were doing a grade test.  Not as in “ABCDF”, but as in grade of slope.  Apparently the customer wanted to be sure their machine could climb up a hill, or on to a trailer.  We had to fill out forms with all of the data for the test and of course, I was using the Pythagorean Theorem to figure out some of the lengths of the test field.  I used others, but I really cringed when I thought of my teacher telling us how useful this was going to be, and here I was.

Maybe that example was pretty specific to my work, but not applicable to “everyday” usage of the theorem.  It just stuck out in my mind because only a few days before that, I was using the same math when I was working on the roof and I was trying to calculate how many rows of shingles I would need to roof my shed.  

I’m sure there are other examples, but I think I’ve made my point.

Pythagorean Theorem Calculator

If you want to learn more about using the Pythagorean Theorem, you can practice with this Pythagorean Theorem Calculator.

Tuesday, March 26, 2013

Adding Fractions Every Day

Adding fractions is an everyday activity, not just for homework. Whether you realize it or not, adding fractions is a key skill for many of the activities you encounter on a daily basis. Without the knowledge of adding fractions, you will have problems in many activities. Fraction calculators can be used to help understand the fundamentals, but first you need to understand the importance.

Adding Fractions for Purchases

When was the last time you spent some money? If you like to get the most bang for your buck, you might keep an eye out for sales. There are all kinds of sales. There are buy-one-get-one sales. There are sales that offer a percentage off of the original price. And, for the sake of this blog post, we can talk about fractional sales. Fractional sales might look like, "Everything 1/2 Off!". It could be any amount. You may see sales for 1/3 or 1/4, too. Understanding fractions and how to add fractions will help you to be a more intelligent shopper.

Adding Fractions in Construction

Construction is a large industry. Even if you aren't working professionally as a contractor, at some point, you will most likely find yourself working on projects around the house that will require to read measurements and add them together. Because most projects aren't going to allow you to use exact units of length, you will most likely find yourself adding lengths with fractions like, "32 1/2 inches + 24 3/8 inches".

Adding Fractions in Exercising

I may not run much anymore, but when I was running, many runs are broken down into fractions of miles. Trying to set up a pace to track your runs can be broken down into 1/4 mile, 1/8 mile, or 1/2 mile increments.

Summary

So, if you can't tell from these small examples, adding fractions is very crucial in your daily life. In addition to this, you can practice these skills with this fractions calculator. There are also other online calculators and blog posts to help with your skills.

Tuesday, February 26, 2013

Using Percentages Every Day

Percentages are used in everyday life in ways that we are so accustomed to, that we may not realize it. Imagine how your life might be different if you didn't use percentages. Think about how many times a day you see percentages in use when you go to a store to purchase something. If you need to get a loan for purchasing a car, or a house, you better understand percentages. And let's not forget tests and homework. Percentages are everywhere.

Shopping Percentages

If you are walking through the mall, watching advertisements on TV, or browsing through the coupon section of the local paper, you will undoubtedly come across examples of percentages. Stores use percentages to calculate the amount of profit margin, profit markup, and total sales price they should use on their products. When they advertise a sales, they will often issue a percentage off of the sales price. How often have you seen ads that promote "25% off" or "50% off"? Sometimes there will be a "buy one, get one free" sale. That's just another way of saying "50% off".

Loan Percentages

If you are in the market for a new car, or even a new house, you most likely will need help to finance the purchase. Many people don't have the financial resources to make a large purchase and will take out a loan for the purchase. Loans will be use percentages to calculate what is known as "interest". Interest is the way the lending institution makes money for loaning out money. If you have good credit, and have shown the institution that they have a strong chance of getting their loan back, then your interest rate will usually be lower.

Percentages in School

It would be hard to imagine how grades are calculated without percentages in school. When you take a test, or finish a homework assignment, often times you are graded on the percentage of problems you answered correctly. This is usually simplified to the "A,B,C,D,F" scale to simplify and compare the scores. As evil as percentages may have seemed in school, they are crucial for functioning in society.

The Sum Up and Help with Percentage Calculators

There are many more examples of percentages that are used in our daily lives. Try to become familiar with percentages and if you become adept at calculating and understanding percentages, you will most likely find yourself ahead of the game in your money calculations. For more help on understanding percentages, try finding and working on a percentage calculator or some of these other online calculators.

 Follow my other math related blogs at CalcuNation and at Homework Math Medic.