The Many Benefits of Free Math Worksheets
November 15, 2008
If you are a parent, free math worksheets are heaven sent! They allow you to help your kids practice their math without too much effort on your part.
If you closely follow up on your child’s education, preparing your child for a math test can be tough. However, this has recently become easier through free math worksheets accessible online.
Gone are those nerve-racking days when you would make your own worksheets come final exams. Nor would you go through erasing answers and solutions from their workbook and have them do it over “for review purposes”. No more reluctance when you ask your child to do the same problems over.
For most parents, teaching kids math at home can be a chore. Who would want to tutor an unwilling student some topic which you barely remember at all? Top that with the extreme patience needing in teaching math, it is very easy to take your hands off. However, with the advent of free math worksheets, there is no reason not to learn math at home.
There are free math worksheets for practically any math subject. Worksheets can range from plain arithmetic operations, decimals, fractions, geometry, even algebra. Many websites sponsor free worksheets that you can download and print in just a few clicks.
Many websites host these math worksheet sets. They are usually listed by type, and are organized by subject. Thus, whether you have a pre-schooler or a high school student, there is something you can give your child to practice on.
What is good about math worksheets is that they are pleasant and attractive. Most of them include graphics which are enticing to look at. Doing math at home should not be a chore, but a positive experience both for you and your child. Math worksheets can create this atmosphere, most especially if your child is tired of the monotony and boredom that is common in school setting.
Using free math printable worksheets
Most free worksheets have already been set up for printing as easy as 1-2-3. They are provided free so there is no need for you to provide credit card details. There are links which lead you to the worksheet page itself. There is a print function associated, so your math worksheet will be ready in a few clicks. Some sites have worksheets in certain formats, so you might have to make sure you have the necessary software to view them.
What is even better about these worksheets is that most sites provide them with answers, even with detailed solutions. This will save you time and allow you to do your chores as your child answers his.
Free math worksheets are indeed heaven sent for those who would like their child to succeed in math. Not all of us are born with ideal genes for mathematics. However, the discipline that can be developed through constant practice will provide your children with just as much success.
Be part of your child’s learning experience through free math worksheets.
John is the head tutor at a site called MathTrench.com, which offers thousands of solved math problems
Useful Strategies in Solving Difficult Math Problems
November 15, 2008
Not everyone has been given great abilities in math. This is a truth of life that can never be denied. Math is tough for most people, so you are definitely not alone. If you are one of those who are not as gifted, this is not the end of the line for you. In fact, there are strategies to help you overcome every math problem you encounter.
Here is a simple and easy to follow strategy you can use to breeze through difficult math problems.
Understand the problem carefully. The key to understanding is ready very carefully. Make sure that you understand the problem being presented, and you understand it correctly. You should point out the information that you are given, and what is being asked. If a picture can be drawn, make one and clearly label all information. Illustrations are usually very helpful, so make it a part of your analysis phase.
Make a plan.
Focus on what is being asked in the problem. Try to ask yourself: what information will you need to come up with the answer? Afterwards, look at the information given. Try to see how every information can be used to solve the problem. Now if you are stuck and you see no logical connection between the information given to the solution, it probably means the math problem is more complicated than usual. Look at the information again and get whatever you can find from it. You will usually find another useful piece of information that can be subsequently used to solve the problem.
Write out the equations.
Now that you have a plan, you have to express your plan mathematically. This will involve:
Assigning some variable name to the unknowns. You can always use x, or d for distance, t for time, and so on. What you want is to have the least number of unknowns. So, if two quantities are given to be related, relate them so that both are expressed in just one variable. So, if John is twice as old as Luke, let x stand for Luke’s age, and 2x for John’s.
Translating the English into the Math. Remember that in math, English phrases have corresponding mathematical meanings. If you familiarize yourself with as many of them through constant practice, you will know them by heart in no time.
Solve the problem.
Now that you have the equations, carry out your plan and solve for what is asked. Remember that your solution must be what the problem is asking for.
Don’t forget to check.
By now you think you have already answered the math problem. But you just might not have. Check your answer. Is it reasonable enough? Do the units correspond? Does your answer even make sense? If you feel there is something off, trace back and see whether you have made a mistake in your calculation.
Solving math problems can be overwhelming. However, if you follow the right strategy, you will get a hang of it. In time, you will realize that in every math problem, there indeed is a solution waiting to be discovered.
John runs a site called MathTrench.com, which offers thousands of solved math problems
Useful Tips in Solving Algebra Word Problems
November 15, 2008
If you struggle at solving algebra word problems, you are not alone. Algebra is undoubtedly one of the difficult branches in math. However, there is a way to make algebra more manageable. Without much ado, here are effective tips that can help you conquer this rather difficult subject.
Read the problem very carefully. Better yet, understand the problem thoroughly. Know what information you are given and which you need to solve for.
Recognize the type of word problem. You should know that there are common types of algebra word problems. Your problem might be about age, consecutive integers, coins, interest, fraction, mixture, distance, number sequence, ratio and proportion, mixture, interest, or work problems. For each type of category, you will find a solution pattern which you can employ for different situations of the same type.
Know the language and translate the word into an equation. Doing this involves two steps:
1. Assigning names to variables. Assign your unknowns their respective variables; x is very commonly used. You should also use variable which signify what it represents: t for time, d for distance, r for rate, etc.
2. Coming up with an algebraic expression. Algebra is a mathematical language. Thus, it has a set of grammar which you can get acquainted with in time. What is crucial in translating algebra word problems into equations is recognizing key words and phrases. Keywords in the word problem will connote specific operations. For example, “sum of”, “more/greater/older than”, “consecutive,” and so on translates to addition operation, while “difference”, “diminished/decreased by”, “fewer/less/younger than” will denote subtraction. Words such as “product”, “doubled/tripled”, “twice/thrice”, “multiplied by” and “of” signify multiplication. Lastly, “quotient”, “divided by/into”, “quotient”, “in” or “per” translates to a division operation. Familiarizing yourself with these terms will help you easily convert the word problem into a working algebraic expression. Getting the hang of this through practice will already get you halfway to your solution.
Solve the equation. Once you have correctly translated the problem into an algebraic equation, you then find the values of the variable. This will involve further steps:
1. Simplify the equation. This is the first step in solving an algebra equation. You can employ methods such as combining like terms, dividing/multiplying terms, removing brackets, cross multiplication, and so on.
2. Isolate the variable. As you may known, you need to isolate the unknown variable to only one side of the equation before moving forward. This is relatively easy to do, especially for equations in one unknown.
3. Do the necessary operations. This may involve addition, opposite-coefficient, substitution and so on. This is where your basic algebra concepts should come in. If you have two unknowns, this is where the quadratic formula will take its course.
Check your answer. Never neglect this part. Read the algebra word problem again to see whether your final answer makes sense. Go through your operations one more time and see if you have done everything correctly.
Practice, practice, practice. The more you practice, the faster you realize how algebra word problems are not that tough after all.
John runs a site called MathTrench.com, which offers thousands of solved math problems
What to Do About “I Can’t Do Math Word Problems” Syndrome
November 15, 2008
It is very easy to give up and say: I just can’t do math word problems. But the truth is, math word problems will always be part of your education. Before you go on and quit, you should know how math actually has significance in your daily life. When you read math word problems, do not immediately push it aside and declare “It has nothing to do with me!”
In fact, as you probably know, math word problems are integral in our mundane life, we just don’t realize it. Think about going shopping or baking. You do not just do calculation off the top of your head, you are carrying out an actual math word problem without pen and paper! So, don’t give up on math problems just yet. There is more in store for you.
So, how do you survive math word problems?
Converting into an equation is the key!
The key to solving any math word problem is to correctly convert the word statement into an mathematical equation. Unfortunately, this is a giant stumbling block for most students. Know that math has its own language. You probably know this already, your variable x stands for some unknown, and you get an equation based on what information is given in the problem.
Know what infomation is given, and which you have to solve for
Remember that the information given in the word problem has something to do with how you can get the solution. At this point, it is a useful habit to draw illustrations which can help you imagine the situation better. Focus next on the unknown and try to see how the information given can help you find the unknown.
The importance of logical reasoning
Based on what is given and asked for in an math word problem, you must be able to connect all the information together and web them into one whole. There are math word problems which are very common. If you have been solving many of them, you can see how these word problems repeat itself. If you get the right reasoning flow, there is no reason not to get it right the next time.
Recognize key words
Math word problems are made of keywords. These keywords are crucial. If you encounter words like “twice that of” for example, it simply means 2x, assuming x is your variable. There are many other keywords which signify operations. Once you familiarize yourself with most of them, you will find it easy to convert the word problem into an actual math equation to solve.
Mathematics is simply a more organized methodology for solving some of the ordinary word problems we encounter everyday. It has not been invented out of the blue to make things more miserable for students.
If you are going through the “I can’t do math word problems syndrome,” maybe now is the right time to change that. Add in a little critical thinking and some positive energy, you will surely get the next math word problem right.
John runs a site called MathTrench.com, which offers thousands of solved math problems
The Problems With Language Translation
November 15, 2008
Anyone who has ever tried to translate between two different languages will understand the problems associated with language translation. These problems have been bugging translators for years. It is not easy to capture the same meaning when translating between two completely different languages.
Language is a communication tool. It can be used in many different ways to express either the same idea, or a completely different idea. The problem arises when translators attempt to translate word for word. This can be disastrous because the context in which the words are used is not taken into consideration. For example, in the English language, the word “market” can mean the stock market, or the fish market. Simply translating the word market to another language without taking into account the context can change the original meaning completely.
Therefore, the human mind is till required to do a translation job well. But the entire translation process can be very time consuming because this means the translator has to read the entire text and rewrite everything in a different language. Some translators have turned to technology for help. They use software to help with the translation.
Unfortunately, most translation software in the market today cannot accurately obtain the semantic meaning of a sentence. So the software has to resort to word for word replacement. And as we have just mentioned above, word for word replacement does not work for translation services. The translator is better off without the software. Here is when another problem arises.
What happens if a translator fails to understand the meaning of the original text?
This can happen because of cross cultural differences. For example, the word “dude” is used as a friendly term between buddies. There may be no equivalent of the same word in another language. So the translator is faced with this problem: What is another word that can be used to express the same meaning? Sometimes, there is a close substitute. Other times, the translator is not so lucky and has to settle for a word that has a totally different meaning. This depends on the language.
In today’s high tech world, the best software translation services are offered by the search engines. However, the technology is only meant to translate to a level where the reader can still make out what the passages of text are trying to say. Search engines continue to use such software because it is their role to find and deliver content to the end user in the quickest possible manner.
However, the output generated by such software is still far from decent. The reader has to make smart guesses just to make out what the translated text is trying to say.
In view of the above, if you are looking to translate one language to another for publishing purposes, you have to rely on skilled human translators. This is because, to date, there is no technology available that is powerful enough to replace the human mind’s ability to see and understand things in context. That is one up for the human mind against technology.
Our Translations Agency is a leading provider of professional language and translation services. Visit our website for Language Translation services. Hire an Italian translator.
Teach Your Kids How to Easily Solve Math Problems
November 15, 2008
As a parent, you may have wondered why some kids in school perform well in answering math problems while other don’t. If you would like your child to improve their performance in math, you actually can do something to help. Here are some tips you can use to help your kids solve math problems easily and quickly.
1. Encourage your child to be inquisitive and ask questions.
An inquisitive mind is an open mind. In math, your child should not only understand concepts, but he needs to understand them well. There should be no gaps in knowledge. Thus, it is very important to establish in your child the virtue of asking questions.
2. Train your child to comprehend word problems quickly. The first most important step in solving math problems is understanding. Your child should understand all the details presented in the problem. He should quickly grasp which information is given and which he needs to solve for.
3. Teach your child to immediately recognize the “key words”. The most crucial step in answering math problems is translating the problem into a mathematical expression. To do this, your child must familiarize himself with key words and hints that translate to certain operations. For example, “per” should denote division and “how fast” should have something to do with speed (which is distance divided by time).
4. Encourage him to draw a picture. Illustrations and diagrams help a lot. It can help your child understand the problem in a better perspective. It also shortens the time needed to understand what is going on. Your child will also better visualize how he can use the information given to solve for what is needed.
5. Break down difficult problems into parts. When faced with more complicated math problems, your child can be easily confused. To deal with this, teach your child to take it one step at a time. Teach him how he can break down the problem into sections. Each section would correspond to a certain mathematical expression, and how each part contributes to a whole. Remember that difficult word problems are not meant to be solve with one giant leap.
6. Practice everyday. The best virtue you can instill in your child is the virtue of diligence. Math is a subject where perfection can be attained with constant practice. Make it a positive, encouraging experience even if it becomes a chore after a long day at school. Practicing will give him a wide grasp of the concept, hone his problem solving strategies, and improve his time management skills.
Of course, do remember that in math, haste does makes waste as well. However, if you do everything quickly yet carefully, there is no reason for your child not to get the right answer.
Lastly, bear in mind that as a parent, an active participation in your child’s math education is needed. If you want your child to improve his ability in solving math problems, showing all out support will surely go a long way.
John a math site which offers thousands of solved math problems, with detailed answers
Importance of Math Worksheets
November 15, 2008
Want to improve your grades in mathematics? Willing to put on some effort to become better at math? Math worksheets will definitely do wonders!
As you probably know, the key to success in math is persistence and diligence. Not all of us are born with the genes to be a math genius, but we all have our chances to excel just the same.
Fortunately for parents, math worksheets are now more accessible than ever. They are made available through online site, some of them are even given for free.
What can math worksheets do to help you improve in math?
Grasping the concept thoroughly
First of all, math worksheets help students thoroughly absorb a particular math topic. I ensures that you know the concept from front to back and front again. This familiarizes you with different situations where the concept can be applied.
Improvement of problem solving skills
Practicing through math worksheets will introduce variety in the problems or topic advancement. Practicing will make the computational aspect of the math problem manageable. This way, you can start working on sharpening your problem solving skills.
Getting comfortable
With math worksheets, you will become very comfortable with test-like formats. You will also learn how to manage your time well in solving a problem. This way, when actual tests come, you will not have difficulties in time limits. Panicking and getting rattled in tests due to time limits bother your concentration, so they are definitely best to avoid. During your practice, you can even set goals and time limits. You will be surprised how this can help you in exams.
Improving efficiency
It has been proven that regular practice, be it through math worksheets or other means, make students efficient in solving math problems. This results to better test results. You should try it out and prove this for yourself.
Advancing at your own pace
Math worksheets allow you to regularly practice and improve your understanding in various concepts. This way, you have the opportunity to advance in math at your own pace. You also have the chance to actually learn and achieve more than what is being discussed in your school classes.
Routine and discipline
What is best about math worksheets is that it allows you to conveniently incorporate math practice into your daily schedule. In the world now where distractions are everywhere, there is no reason for you not to practice your math skills. This also establishes good study habits and discipline not only in math, but in your other subjects as well.
20 Minutes a day is enough
Regularly practicing for about 20 minutes a day through math worksheets is enough. A time this short devoted for math will do wonders for any student.
Most math worksheets now come in attractive pages which entice interest and attention. You do not have to drag yourself to hone your math skills. All you need is to download a few pages, and practice away. Remember - practice always makes perfect.
John runs a site called MathTrench.com, which offers thousands of solved math problems and worksheets
How to Properly Write a Math Solution
November 15, 2008
You have finally figured out a math solution to your problem - congratulations! But do not rejoice just yet as if you have already answered the problem. You are not finished. Whether you are writing a solution for a homework, message board, test or a competition, it is important that you communicate your solution legibly and clearly.
Why? Well, remember that your math solution will be shown to someone else. This may be your teacher, tutor, mentor, a math expert, and so on. These people are not mind readers. They check whether or not you got it right based on what you show them.
More importantly, math is not just about getting the right answer. What matters more is the thinking you did, and how you came up with your answer. If your idea is brilliant and innovative, good for you. But your brilliant idea will be worthless if you do not communicate it with the same brilliance.
An Ideal Math Solution
What makes an ideal math solution? A good solution is one which does not require your reader to think hard. Your ideas should be expressed in writing in a clear and consise manner. Once a reader looks at the solution flow, they will proceed from one line to the next without wondering how you got one from the other, or where you are headed.
Always have a plan
Before writing your math solution, it is important to have a plan. If you have enough time, you can start with an outline. Know what you have to define, assume, and know the order of how you will present the most important aspects in your solution.
Writing legibly
Your reader will appreciate legible writing. Now, this can be impossible in math. Using a pencil (which is erasable) may be useful if allowed, but make sure you erase thoroughly before rewriting. Proper spacing, observing one-line-one-equation, margins, and so on, will make your math solution pleasing to the eyes. Try to answer in print and avoid cursive paragraphs.
Drawing diagrams
Remember how pictures are worth a thousand words. If you are writing out a geometry solution or the likes, always include a diagram. It is easy to understand, as long as they are drawn precisely. A diagram will also save you from a lot of wordy explanations.
Clear case work
If your solution involves a number of cases, make sure that you identify each clearly. Also, make sure that you show how these cases cover all the possibilities as necessary. You can start with labeling cases as Case 1, 2, … or A, B, … written in all caps.
Proofreading
Never forget to check your work and edit if need be. Determine whether you have communicated the solution you thought of without any gaps. Your audience must get your point and know exactly what you mean. Check your equations and inequalities and see whether they are written the way they should be.
Practice writing math solutions
Writing out perfect math solutions also take practice. As they always say, repetition and nothing else, is the mother of all skills.
John is the main tutor at MathTrench.com, which offers thousands of solved math problems with detailed solutions
Helping Your Child Get Through Algebra Problems
November 15, 2008
There goes what you have been dreading: “Mom, can you help me with algebra problems? I seem to be bad at algebra.” Of course, you are very much willing to help. But you ask yourself, “what do I even remember about algebra?” You imagine how it is like to learn it again. Seems too much for a parenting responsibility, isn’t it?
Well, the good thing is, there is a lot you can do to help. You do not have to be a math expert Mom or have a passion for math to help your child through his algebra problems. All you need is just a little patience, positive mindedness and tons of creativity.
Don’t panic
When your child comes to you for help in algebra, do not panic. Be careful about what you will say next. Try to maintain a positive, encouraging attitude. Saying something negative (which you initially think will be funny) will do more harm than good.
Re-learn if you have time
Do not underestimate your memory. It may have been decades since you last read algebra problems, but you will be surprised at how easy it can be to re-learn. Browse through your child’s book and remember as much as you can. You will still know a lot more than he does in algebra, so there is a lot you can do to help.
Connect algebra with actual reality
Your child should learn the practical applications of algebra. He may be wondering why he needs to learn algebra, so try to relate it with what happens in real life. Make it as simple as: You need to catch a movie at this time and given the drive is this long, what time do you have to leave the house to make it to the movies?
Get your child used to the language used in algebra. You probably know how algebra uses a set of language. For your child, it may be heiroglyphics. But once he understands it, he’ll be able to breeze through it easily. Let him get used to how x represents an unknown information he needs to find, how t stands for time, “double” is 2x, and “2 more than” is 2 + x.
Practice word problems together. Algebra is about logical reasoning. You should guide your child towards the right reasoning to help him through algebra problems. Algebra word problems have certain logical patterns. If your child understands, he will be able to breeze through each and every problem without needing your help.
Be patient and creative. When your child encounters difficulties in certain problems, try to explain the situation being presented in the simplest way possible. Be creative and encouraging. Patiently listen to his thoughts on how to solve it. Lead him towards the right direction without saying the answer straightforwardly.
Ask help
If algebra is your waterloo, you do not have to go through this dilemma alone. If your husband is better than you at algebra problems, let him help. Better yet, it will not hurt to hire a tutor. You will be better off asking help, than allow your child to hate algebra for the rest of his life!
John owns a site called MathTrench.com, which offers thousands of solved algebra problems
A Stepth Pro by Step Approach to Solving Mablems
November 15, 2008
When learning math, getting stumped without knowing what next is very common. However, before you let go of that pen and paper and scream “I hate math” to the top of your lungs, take time to read this article.
If you have read other articles or books on how to solve math problems, this article will not really provide anything new. However, this provides you with a simple step by step approach to help you through each math problem you encounter.
How do you go about solving a difficult math problem?
Before discussing the steps, you must realize how keeping an open mind about math will improve your performance greatly. You may dislike math, but reminding yourself over and over will make you worse off. So, try assuming even just for a few minutes, that math is manageable. As it actually is.
So, here it goes.
In every math problem, you have to ask yourself 4 very important questions, which are:
1. What information am I given?
In this part, you can do any one or more of the following:
• List down the information and facts given in the word problem, along with units and other details
• Point out key words and underline or circle them. There are hundreds of key words possible such as area, speed, factor, per, for every, among many others
• Watch out for units that are mixed. Units are important information, so never neglect them.
• Express the information in the form of math symbols, for example speed is distance over time.
2. What information is being asked?
On this step, make sure you do the following:
• Know what the problem expects you to find. Check if it has to be expressed in certain units.
• Express your goal in terms of math symbols, if possible. If you are being asked for the area of a circle, express it as A = pi*r*r
3. What can I do with the given information?
• Play around with the facts you are given. Check what information you can get with the given and see whether it brings you closer to the information you have to solve for.
• Don’t hesitate to manipulate the information one step at a time. Simplify the problem if it is relatively complicated.
• Make a picture or diagram, or even a table or chart. if the situation calls for it.
• Look for certain distinct pattern if applicable.
• If the problem seems difficult to understand, find a way to restate the problem which might be easier to grasp.
• Keep manipulating until you arrive at an answer.
4. Does my answer make sense?
• Once you have successfully found a way to solve the problem, check if it makes sense.
• Read the problem again and understand it once more.
• Check if you have the right units, as asked.
• Think of a way to confirm if your answer is right, if there is at all.
Solving math problems should not be tough if you keep your mind and heart open. Start with these 4 questions and see how you’ll fare.
John runs a site called MathTrench.com, which offers thousands of solved math problems
