The Instigator
anc2006
Con (against)
Tied
0 Points
The Contender
DJWaffleT
Pro (for)
Tied
0 Points

Completing the square

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Voting Style: Open Point System: 7 Point
Started: 11/16/2019 Category: Funny
Updated: 2 years ago Status: Post Voting Period
Viewed: 406 times Debate No: 123465
Debate Rounds (3)
Comments (4)
Votes (0)

 

anc2006

Con

It just works. Otherwise, Why learn this if you can do factoring in less space?

I am in algebra i.
DJWaffleT

Pro

In a sense, Your argument is true, However, There are some reasons it could be deemed useful.
FIRST, You will need to use it during school. I had to do them, And yes, It sucked, But you have to learn them if you want to pass Algebra I.
SECOND, Just the process itself "is useful because it gives us an alternative to the quadratic formula and can even solve problems that the quadratic formula cannot. " (CSUSM, June 2010) Again, You must be able to solve these problems to pass your class.
THIRD AND FINALLY, There is a chance that you may need to use them in the future at work. I mean, There HAVE been teacher shortages in the U. S. , And no doubt a good number of math teachers are needed. Maybe you should consider teaching math in the future!
As a person in Pre-AP Geometry, I hate completing the square, Perhaps just as much as you do. Nevertheless, You, And I, Still need it to perform some necessary tasks.
Debate Round No. 1
anc2006

Con

I'd argue completing the square is nothing useful other than tests. You don't even need to use it after(except, Of course, More tests). Everything you need is within other strategies.

If factorable, Use factoring, It will get the same answer as Cts.
If not, Plug it in in the quadratic formula. Note: QF and Cts are both as exact as each other.

""is useful because it gives us an alternative to the quadratic formula and can even solve problems that the quadratic formula cannot. "

What can be solved by this but not quadratic formula?
DJWaffleT

Pro

Well, To answer your question, According to CSUSM, An equation that completing the square would be helpful to use would be x^2-6x+7=0. Draw your own conclusion. Also, When it comes to the point of our clashing arguments it can be agreed by both sides of this debate that it all comes down to personal preference. Another point that I forgot to include in my first argument would definitely be the issue that many students in the world PREFER to use completing the square over factoring, Depending on what comes easy to them. Therefore, It SHOULD be okay for the topic to be taught during class, And if you do not like completing the square, Then, By all means, Use factoring. It is not illegal.
You had also mentioned that "you don't even need to use it after [tests] (except, Of course, More tests), " but what do you have to say about the many math teachers, Especially Algebra I teachers, Who DO need to use this lesson for future lessons they themselves will teach? Are you completely ignoring these many people?
Shame.
Debate Round No. 2
anc2006

Con

There is no need for it to exist. As an Alg-I student, There are barely any completing the square questions in regents in the past few years. The skill is pretty useless and can be replaced by other strategies. The other strategies tends to be easier to show work.

I know, When something is unfactorable, Mental math would favor completing the square, But it is the one taking most of the space, Making it less space to check, If the space is small enough. This is one reason Cts is pretty useless.

Yeah, Signing up for teachers needs it. That doesn't mean it is useful though. This is like teaching USSR lifestyle in Modern russian college. It:

Just works, No more
Takes most of space when work is meant to be shown
DJWaffleT

Pro

The format of your responding argument is rather confusing, But I'll go ahead and start by laying down the following, And my last, Response:
You only provide arguments that I have already clashed against, Those being that you will never use it in the future and that there are other methods. For the sake of ending this debate, I will restate those arguments once more.
1. You state that you will never use it after testing experiences. However, As I previously stated, You may need to use it in a math teacher profession, Or even as a professional mathematician, So your argument is deemed redundant.
2. You also mention that there are other methods easier and less complicated than completing the square, However, Some people may find the method useful. Sure, It may sound crazy to an extent, But some people's minds work like that in the classroom.
Years of dedication are put into deciding the learning curriculum of various classrooms, And no doubt there is even better reasoning as to why it is established in the year's lessons according to the appropriate personnel. This whole debate is just plain useless, As even if you were to effectively prove your point, Literally nothing would be done about it anyways. Don't complain about something just because you don't want to do it.

Good debate.
Debate Round No. 3
4 comments have been posted on this debate. Showing 1 through 4 records.
Posted by Anonymous03 2 years ago
Anonymous03
cool but tell me again what's the point of this debate? I hope you recognize that not everything can be instantly factorized and you complete the square for those to get a foolproof answer for that.

'Hey *clap clap* Factoring? *slap slap* Quadratic formula? '
What's factoring? What's with the asterisks? Why aren't you at school instead of asking basic maths questions to strangers, Instead of to mommy and daddy?
Posted by anc2006 2 years ago
anc2006
if factorable==true:
use. Method(Factoring)

else:
use. Method(Quadratic Formula)

They always get the same answer, But CtS takes most of the space.
Posted by anc2006 2 years ago
anc2006
Hey *clap clap* Factoring? *slap slap* Quadratic formula?
Posted by Anonymous03 2 years ago
Anonymous03
Completing the square always works though for quadratics in which the discriminate is greater than zero. This and the quadratic formula are 100% foolproof ways to factorise most things where you don't have a complex conjugate root. I get that it takes more time but the cross method just doesn't work for everything.
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