NLVM's Free Online Graphing Calculator

!±8± NLVM's Free Online Graphing Calculator

It's easy to find interactive graphing calculators websites, but finding a free, easy to use graphing calculator applet that's not buggy is more of a challenge. One of the best is hosted at Utah State University's NLVM site, the National Library of Virtual Manipulatives. If you're not familiar with it, NLVM is an extensive collection of interactive applets for students and teachers. You'll find not shortage of interesting puzzles and games there, but this time we wanted to highlight their "grapher" applet.

What sets apart the NLVM grapher is its simple to use, yet powerful interface. An easy to use menu at the top of the screen allows for fractions, exponents, square roots, and absolute values, and they can all be inputted just as they appear in a textbook. There's very little clutter on the screen to intimidate users.

There are surprisingly powerful options for a Java based calculator. Of course, there is a simple trace feature, which utilizes a slider bar. There are three additional tabs for users to choose from, parameters, window, and functions.

Parameters allows the user to insert up to three parameters into the equation that can be manipulated with a slider bar. If you are interested in examining translations, this is a very powerful feature since the graph adjusts in real time.

Not surprisingly, the window tab give the user the option to adjust the graph view. Fortunately, it is also possible to zoom by simply using the mouse to select a region to view.

The functions tab gives the user the ability to input up to three functions. One of the really nice features here is that composite functions are supported (although inverse functions are not). Other advanced features offer the ability to choose each functions color and restrict domains.

The applet doesn't contain all the functionality of a high end graphing calculator handheld, but that's not really the point. Whether you're a student using it to try out graphing for the first time or a teacher incorporating it into your lesson, it's a simple and reliable solution. NLVM's grapher is one of the best online graphing calculators available today.

NLVM's Free Online Graphing Calculator

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This part of the calculator compatibility mini-series shows you how to solve matrices on the TI-89 graphing calculator.

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Five Golden Rules For Adding Polynomials

!±8± Five Golden Rules For Adding Polynomials

Golden rules are the ones that actually apply. You want to keep these things in mind and not forget them. Like stars to steer by, they are permanent markers to guide us and keep us moving in the right direction.

Whatever task you undertake, whatever goal you aspire to, you'll encounter Golden Rules to show you how, you just need to find them.

So let's get started with the 5 best ones for adding polynomials.

Golden Rule # 1, Add Like Terms. The reasoning for doing that this way is just as you add numbers together you can group like polynomials.. Remember, when you see something like 3x + 2y + 5x you can simplify by adding the like numbers together. So the equation becomes 8x + 2y.

Golden Rule # 2, Stack Vertically If You Need To. It will be best to handle this carefully because any miscalculation at the beginning will lead to an error at the end. Take into account that you can rewrite the numbers one on top of the other in the traditional way of adding numbers to make sure you get it right. Sure 3+5 is a piece of cake but if you end up with something like 1,357x + 769x + 6,892x it's best to stack them vertically..

Golden Rule # 3, Separate Your Degrees Of X. There are good reasons you'll want to do that. Among them are that these groups can not be added together. x is very different from x squared.

Golden Rule # 4, Don't be put off by lots of polynomials. There are various ways to do this, including just dealing with one group at a time. You may have 3 or 4 different groups but that's ok. Just add up one group at a time separately.

Golden Rule # 5, If at first you don't succeed try and try again. This may include asking for help if you do not know what you are doing wrong. It is important because doing so helps you to move forward and not get stuck at a single problem.

Follow these rules to adding polynomials and you will probably find life easier for you, your progress rapid as well as your successes more frequent.

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The History of Calculators

!±8± The History of Calculators

There was a time in history when simple arithmetic was compulsory in school. As technology emerged new discoveries quickly transformed the way we used traditional methods. One of these great inventions was the calculator. Modern calculators differ from old counting instruments. Numerical devices such as the abaci and comptometers were a manual process that was full of errors and quite tedious. Conversely modern calculators are digital or solar powered and don't require much manual labor. They are very inexpensive and come in many sizes and models. Listed below are seven lucky facts about calculators you should know:

In Education
1. There was plenty resistance to using calculators in school because it was thought that it would take away from their basic arithmetic skills.
2. Some scientific research indicates that insufficient guidance in the use of calculators can hold back mathematical thinking that pupils learn. On the flip side, others dispute that mathematical devices can cause fundamental mathematical skills to weaken or that such use can prevent learning of key mathematical concepts.

History: The Early Days
3. The first type of calculating instrument that was implanted was the Abacus. They were made out of a square shaped wooden piece with beads sliding up and down on wires. The Abacus is still used by merchants and fishermen in Africa and Asia.
4. The first recorded analog computer was in 150 BC. It was called the Antikythera mechanism and the astrolabe. These computation devices were made in Greece.

17th to 19th century
5. Wilhelm Schickard a German mathematician made the first digital calculator in 1623. He is dubbed the father of the computing era. His design used techniques that a clock used so addition devices were originally called computing clocks.
6. These gadgets were later improved upon by Charles Babbage (rhymes with cabbage) when he invented the mechanical calculator. It was called the difference engine because it could manipulate seven numbers of thirty-one.

Present
7. In the early eighties computing gadgets were a luxury item costing about two weeks pay. Prices dropped as cost of construction material for these devices became less expensive and accessible.
Today it is difficult for manufacturers to make a good profit of selling calculators solely. Consequently companies have competed to find unique strategies to sell computing devices. You can now purchase them as a dual items on mouse pads, pens, rulers and almost anything you can think of.

The History of Calculators

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College Students - Why a Good Graphing Calculator?

!±8± College Students - Why a Good Graphing Calculator?

The benefits of Graphing calculators

Graphing Calculators have assisted professional engineers and scientists since their invention. By the mid 80's calculators had replaced abacuses in the pockets of professionals, offering transportable and easy computation and manipulation of data.

Many students don't realize how beneficial a calculator is in math courses. Graphing calculators are recommended for math courses from pre-algebra onward, and college programs involving physics, calculus or statistics often require a graphing calculator. Successful high schools are offering class sets or requiring students to purchase a good quality calculator, so that students can familiarize themselves with the tool. Students can use the easy computation and manipulation of a quality calculator during their Sat, Act, or AP placement tests to enhance their calculus abilities.

Graphing calculators are similar to a laptop computer in many aspects, but are much lighter and less expensive. Calculators with graphing capapbility hold many types of data in the on board memory, including gathered statistics, games, notes, and mathematical functions. Manufacturers offer free software that can be used on the calculators they produce, from games programs to advanced tools that enhance calculus abilities. Calculators are equipped with a larger screen than a standard calculator that users to see a visual representation of the work, and they display charts and graphs of data that users can easily manipulate. Calculator data can be saved to other graphing calculators or input in computer programs. Calculators perform complex mathematical functions that standard laptops don't without additional software.

Good calculators are an invaluable tool for today's students because they offer easy computation and manipulation of data, a significantly wider range of functions than standard calculators, and are less expensive than a laptop. Users can define their own formulas and inputs that enhance the calculator with increased calculus abilities, making them a necessary tool for college-bound students.

College Students - Why a Good Graphing Calculator?

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Texas Instruments TI-89 Advanced Graphing Calculator

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Introducing TI's most powerful graphing calculator: The TI-89 Titanium, offering new features, preloaded Apps, and even more versatility. A built-in USB port makes data transfer ultra-convenient. Plus, with three times the memory of the TI-89, you can store more Apps, data, and programs

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