How to Teach Factoring Polynomials to School Kids
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Khaled Omran
Mar 31, 2013, 5:50:06 PM3/31/13
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Article Title: How to Teach Factoring Polynomials to School Kids
Author: Khaled Omran
Word Count: 684
Article URL: http://www.isnare.com/?aid=1828291&ca=Education
Format: 64cpl
Contact The Author: http://www.isnare.com/eta.php?aid=1828291
Easy Publish Tool: http://www.isnare.com/html.php?aid=1828291
*********************** ARTICLE START ***********************
Factoring polynomials represents the start of the core of any algebra class. It is not really the initial start of algebra but it is the doorway to success in algebra. It marks the beginning of the in depth topics. This is why special attention should be given in teaching this topic. At this point students start to make a decision whether they like algebra and would like to go further into pre calculus and then calculus and then may be have a career in engineering or science. On the other hand students may hate algebra and mathematics and decide to have a career in arts. They choose arts not because they like it but because they hate mathematics.
If one talks to old people who dislike mathematics and ask for the reason the answer is very often that they disliked their mathematics teacher or that they did not understand one of the most fundamental lessons in algebra.
The mathematics teacher should use all his skill in teaching factoring polynomials. He should put great effort in making the students understand the concepts and in making the subject exciting and fun to students. This article will cover the tactics the teacher can use to make the students both understand the subject and find it fun.
First of all the teacher has to make sure that the students got the prerequisites right for this topic. For example before getting into factoring the teacher has to make sure that the students understand and can successfully use the distributive property. In addition, they should be familiar with techniques for multiplying polynomials. This is because factoring is the same process in reverse. Factoring turns addition into multiplication and these techniques tern multiplication into addition.
The teacher should go through the different factoring methods with examples. He should start with the greatest common factor method and show that it must be applied first to any polynomial. Next he should explain the grouping method then he can turn to the difference of two squares method.
Some students are successful when they work on individual types of factoring but they run into problems when different types of factoring appear in one problem. This is why after explaining the factoring techniques there should be a session especially to explain when to use each type of factoring.
At this stage the students are ready to learn an algorithm that teaches them how to factor polynomials that are composed of three terms. Indeed factoring polynomials is done primarily by trial and error but there is an algorithm that makes this process systematic.
The first thing to do is to write down the polynomial and determine the factors of the first and last terms. Next one should create a table using all factor combinations of the first and last terms. The table should have two columns, one for the first term, and one for the last term. All factor combinations of the polynomial's first term should be in column one and all factor combinations of the polynomial's last term should be in column two. Finally the students should use trial and error with combinations from column one against column two till they get the desired factors.
To make these lessons exciting the teacher should design mathematics laboratory experiments that use calculators to check the results. If the student uses the calculator to evaluate the function at the negative value of the factoring points the result should be zero. This will imply that the factoring is correct. Also the student can plot the function using the calculator and check the roots on the graph to see if his factoring is correct.
The teacher should give students word problems of real life applications of factoring where the student can appreciate how important this is in our real world. The students can use the calculators in these problems to factor polynomials. This is to add excitement to the class and to make students at ease with the use of modern day technologies.
About The Author: Check these calculators at http://www.software-hitech.com
Please use the HTML version of this article at:
http://www.isnare.com/html.php?aid=1828291
*********************** ARTICLE END ***********************
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Message delivered directly to members of the group:
publish-the...@googlegroups.com
*****************************************************************
Please consider this free-reprint article written by:
Khaled Omran
*****************************
IMPORTANT - Publication/Reprint Terms
- You have permission to publish this article electronically in free-only publications such as a website or an ezine as long as the bylines are included.
- You are not allowed to use this article for commercial purposes. The article should only be reprinted in a publicly accessible website and not in a members-only commercial site.
- You are not allowed to post/reprint this article in any sites/publications that contains or supports hate, violence, porn and warez or any indecent and illegal sites/publications.
- You are not allowed to use this article in UCE (Unsolicited Commercial Email) or SPAM. This article MUST be distributed in an opt-in email list only.
- If you distribute this article in an ezine or newsletter, we ask that you send a copy of the newsletter or ezine that contains the article to http://www.isnare.com/eta.php?aid=1828291
- If you post this article in a website/forum/blog, ALL links MUST be set to hyperlinks and we ask that you send a copy of the URL where the article is posted to http://www.isnare.com/eta.php?aid=1828291
- We request that you ask permission from the author if you want to publish this article in print.
The role of iSnare.com is only to distribute this article as part of its Article Distribution feature ( http://www.isnare.com/distribution.php ). iSnare.com does NOT own this article, please respect the author's copyright and this publication/reprint terms. If you do not agree to any of these terms, please do not reprint or publish this article.
*****************************
Article Title: How to Teach Factoring Polynomials to School Kids
Author: Khaled Omran
Word Count: 684
Article URL: http://www.isnare.com/?aid=1828291&ca=Education
Format: 64cpl
Contact The Author: http://www.isnare.com/eta.php?aid=1828291
Easy Publish Tool: http://www.isnare.com/html.php?aid=1828291
*********************** ARTICLE START ***********************
Factoring polynomials represents the start of the core of any algebra class. It is not really the initial start of algebra but it is the doorway to success in algebra. It marks the beginning of the in depth topics. This is why special attention should be given in teaching this topic. At this point students start to make a decision whether they like algebra and would like to go further into pre calculus and then calculus and then may be have a career in engineering or science. On the other hand students may hate algebra and mathematics and decide to have a career in arts. They choose arts not because they like it but because they hate mathematics.
If one talks to old people who dislike mathematics and ask for the reason the answer is very often that they disliked their mathematics teacher or that they did not understand one of the most fundamental lessons in algebra.
The mathematics teacher should use all his skill in teaching factoring polynomials. He should put great effort in making the students understand the concepts and in making the subject exciting and fun to students. This article will cover the tactics the teacher can use to make the students both understand the subject and find it fun.
First of all the teacher has to make sure that the students got the prerequisites right for this topic. For example before getting into factoring the teacher has to make sure that the students understand and can successfully use the distributive property. In addition, they should be familiar with techniques for multiplying polynomials. This is because factoring is the same process in reverse. Factoring turns addition into multiplication and these techniques tern multiplication into addition.
The teacher should go through the different factoring methods with examples. He should start with the greatest common factor method and show that it must be applied first to any polynomial. Next he should explain the grouping method then he can turn to the difference of two squares method.
Some students are successful when they work on individual types of factoring but they run into problems when different types of factoring appear in one problem. This is why after explaining the factoring techniques there should be a session especially to explain when to use each type of factoring.
At this stage the students are ready to learn an algorithm that teaches them how to factor polynomials that are composed of three terms. Indeed factoring polynomials is done primarily by trial and error but there is an algorithm that makes this process systematic.
The first thing to do is to write down the polynomial and determine the factors of the first and last terms. Next one should create a table using all factor combinations of the first and last terms. The table should have two columns, one for the first term, and one for the last term. All factor combinations of the polynomial's first term should be in column one and all factor combinations of the polynomial's last term should be in column two. Finally the students should use trial and error with combinations from column one against column two till they get the desired factors.
To make these lessons exciting the teacher should design mathematics laboratory experiments that use calculators to check the results. If the student uses the calculator to evaluate the function at the negative value of the factoring points the result should be zero. This will imply that the factoring is correct. Also the student can plot the function using the calculator and check the roots on the graph to see if his factoring is correct.
The teacher should give students word problems of real life applications of factoring where the student can appreciate how important this is in our real world. The students can use the calculators in these problems to factor polynomials. This is to add excitement to the class and to make students at ease with the use of modern day technologies.
About The Author: Check these calculators at http://www.software-hitech.com
Please use the HTML version of this article at:
http://www.isnare.com/html.php?aid=1828291
*********************** ARTICLE END ***********************
- To distribute your articles go to http://www.isnare.com/distribution.php
- For more free-reprint articles go to http://www.isnare.com
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