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Solves Problems and Reasons Logically
Lesson 22
Define Problems
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 > Practice: 1 | 2 | 3 > Reflection

ALPObjective:

Define Problems

In this lesson you will identify the question(s) to be answered (that which is unknown and to be made known through problem solution), known information, missing information, and/or extraneous information.

Vocabulary:

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  • relevant
  • irrelevent
  • extraneous

Tips to Remember:

Step 1 in Problem Solving

The first step in solving a math "word" problem or an "applied" problem is to read through the problem at a moderate speed to get a good idea of the problem. This may require you to read the problem more than once. Sometimes you may have to read over the problem two, three, four, or even more times until you are clear as to what is being asked in the problem.

After reading over the problem until you understand what you are to find out, you want to try and write the problem mathematically putting the words into mathematical expressions. It is often beneficial to draw a simple picture to help assist you. Write down the facts you are given and the data that you may end up using to help you solve the problem.

Read through the problem again for the purpose of finding out what the problem is asking. Restate this in your own words. Stating the problem in your words helps you to see and understand the problem better. You can also mark key words or phrases that may be helpful.

You may want to break the problem into smaller simpler problems. You may even want to work a part of the problem and see if it relates to the outcome of what you are trying to solve.

If you aren't making a lot of progress with the problem, leave the problem for a little while and work on the next problem. After a couple of problems go back to the problem you were stumped on and try it again. Most often leaving a problem and then coming back to it later will give you some new ideas or a better idea of what you are trying to answer.

Missing and Extraneous Information

Some problems may include extra data or extraneous information that isn't needed in order to solve the problem. Be sure to write down all the information that you are given with your problem even if it seems to be extra and may not be helpful in finding the answer. As long as you understand the problem and know that there can be extraneous information that won't affect your outcome of the problem. Don't feel that you have to use all the information you are given.

There can also be problems that may not have all of the information needed in order to find the answer to the problem. You will need to find the information needed to solve the problem or a more specific question to be answered in some cases. You may need to state that there is not enough information to answer the question completely. Be sure to fully understand the problem and what you need to do and just be aware that you may not have all the data you need. If this happens, don't guess and "make up" data that will help you solve the problem.

Example 1 >>

 

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