IB 2012 Posted May 26, 2011 Report Share Posted May 26, 2011 STELLAR NUMBERS PORTFOLIO OUTLINEIntroductionTriangular Numbers IntroTriangular Numbers Table of values of n and nth termTriangular Numbers General StatementTriangular Numbers ConclusionStellar Numbers Intro6-Stellar Numbers Table of values of n and Sn6-Stellar Numbers General Statementx-Stellar Numbers Table of values of n and Snx-Stellar Numbers General Statementy-Stellar Numbers Table of values of n and Sny-Stellar Numbers General Statementz-Stellar Numbers Table of values of n and Snz-Stellar Numbers General StatementStellar Numbers Table of Summary of general statements when p = 6, x, y, zStellar Numbers General Statement in terms of p and nStellar Numbers Informal ProofStellar Numbers Scope and Limitations of the General StatementStellar Numbers ConclusionFinal ConclusionGeneral Math IA Guidelines can be found in this thread.what do you mean tables of n and the nth term?sorry one more question: what do you mean with this?x-Stellar Numbers Table of values of n and Snx-Stellar Numbers General Statementy-Stellar Numbers Table of values of n and Sny-Stellar Numbers General Statementz-Stellar Numbers Table of values of n and Snz-Stellar Numbers General Statement Reply Link to post Share on other sites More sharing options...
dessskris Posted May 27, 2011 Report Share Posted May 27, 2011 use different values of p (6 in the first part) Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 27, 2011 Report Share Posted May 27, 2011 I found the general statement for the stellar numbers, using what I have found for the triangular numbers. And I kept getting the correct formula except that I had ax^2+bx+c instead of ax^2-bx+c. And I just dont know what I did wrong. Please help!!!!! Reply Link to post Share on other sites More sharing options...
dessskris Posted May 27, 2011 Report Share Posted May 27, 2011 ah, go through your working once again? if you can PM me your rough working I can help point out your mistake. Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 29, 2011 Report Share Posted May 29, 2011 do graphs and tables have to have a title?is it better to refer to the triangular numbers as "the fifth triangular number" or "term U5"?thanks!!! Reply Link to post Share on other sites More sharing options...
dessskris Posted May 29, 2011 Report Share Posted May 29, 2011 insert captions for graphs and tables. and I'd go with U5 Reply Link to post Share on other sites More sharing options...
MegCarr Posted June 16, 2011 Report Share Posted June 16, 2011 Im completely useless at math and our teacher isnt giving us any clues :/ has any one done this IA?If so what is the general formula for the star shape? Reply Link to post Share on other sites More sharing options...
dessskris Posted June 16, 2011 Report Share Posted June 16, 2011 we cannot tell you the general formula. you have to find it yourself.however if you read up the whole Stellar Numbers thread in the math forum I'm very sure you'll come across it or clues to it. Reply Link to post Share on other sites More sharing options...
vikki.alexandra Posted June 17, 2011 Report Share Posted June 17, 2011 (edited) my first math portfolio is due in three days. we were given the one about the stellar numbers. I am about halfway through, but i am stuck on finding a formula for the stellar numbers. for the 6-stellar number, i found the pattern is you add the previous multiple of 12 to the previous stellar number. but how do you put this in an equation?example:table:1 12 133 37to find 37, you go 2(12)+ 13.well its not an arithmetic or geometric series so then it must be either a recursion or explicit formula. but it cant be an explicit formula since the sequence isnt arithmetic or geometric.so your left with recursion formula. i got that the general formula for stellar numbers is: Sn= Sn-1 + 12(n-1)where n>1for example with S2= 13:given that S1= 1S2=Sn-1 + 12(n-1) =S1 + 12(2-1) =1 + 12(1) =13 Edited June 19, 2011 by Austin Glau no text speak 1 Reply Link to post Share on other sites More sharing options...
IB wannabe Posted September 27, 2011 Report Share Posted September 27, 2011 I just finished my Portfolio Type 1 - stellar numbers and I think I did pretty good ... I am willing to discuss this task with anyone who wants some help and is actually dealing with this task at the moment... I would really like you guys to see my work but uploading it wouldn't be in accordance with academic honesty would it... For those who are not familiar with the task I attached the task paper... Reply Link to post Share on other sites More sharing options...
dessskris Posted September 28, 2011 Report Share Posted September 28, 2011 I just finished my Portfolio Type 1 - stellar numbers and I think I did pretty good ... I am willing to discuss this task with anyone who wants some help and is actually dealing with this task at the moment... I would really like you guys to see my work but uploading it wouldn't be in accordance with academic honesty would it... For those who are not familiar with the task I attached the task paper... that's great, but please NEVER send your work to anyone no matter what they promised you and please do NOT give them the answers. please try to keep discussions in this thread so the moderators can read our posts and they will know if we're giving too much guidance or not. Reply Link to post Share on other sites More sharing options...
IB wannabe Posted September 28, 2011 Report Share Posted September 28, 2011 we cannot tell you the general formula. you have to find it yourself.however if you read up the whole Stellar Numbers thread in the math forum I'm very sure you'll come across it or clues to it.Yeah I completely agree with you. When do every previous part of the task general formula will be obvious.You can't go straight for general formula, there is a reason why they constructed the task like that, so you can solve it gradually. Reply Link to post Share on other sites More sharing options...
laneey Posted December 13, 2011 Report Share Posted December 13, 2011 this is a great forum to help understand why the general statement for the stars is d=px^2-px+1http://www.mymathforum.com/viewtopic.php?f=13&t=19382think about the formula used to find the triangular number sequence:(n(n+1))/212 trianges can fit into a stellar star. this is why the statement is 12 times that of the triangles.would anyone be able to give me a hand in understanding limitations for this general statement? i know it creates an exponential graph but what does this tell me?X Reply Link to post Share on other sites More sharing options...
Guest rod4eva Posted January 12, 2012 Report Share Posted January 12, 2012 you can try to use the simplest parts of series that you've probably studied.. that's the easy answer to the whole portfolio though we cannot discard any other method to prove the conjectures... Reply Link to post Share on other sites More sharing options...
Guest rod4eva Posted January 12, 2012 Report Share Posted January 12, 2012 we cannot tell you the general formula. you have to find it yourself.however if you read up the whole Stellar Numbers thread in the math forum I'm very sure you'll come across it or clues to it.Yeah I completely agree with you. When do every previous part of the task general formula will be obvious.You can't go straight for general formula, there is a reason why they constructed the task like that, so you can solve it gradually.this is true but we can actually find it easily... this is probably the most obvious portfolio there is .. Reply Link to post Share on other sites More sharing options...
Eastcoast93 Posted January 14, 2012 Report Share Posted January 14, 2012 can anyone give me help: i don't understand why a quadratic equation allows us to create the statements. i mean it all works fine when i do it, but to the actual theory i was interested in why it is a quadratic and not a cubic or so... Reply Link to post Share on other sites More sharing options...
El Che Posted January 14, 2012 Report Share Posted January 14, 2012 Because when you plot the relation between Sn and n (let's say, for 6-stellar numbers), it would look like a quadratic one. Reply Link to post Share on other sites More sharing options...
Eastcoast93 Posted January 22, 2012 Report Share Posted January 22, 2012 is it okay to use "I" in the portfolio. e.g. I continued by graphing the results.... Reply Link to post Share on other sites More sharing options...
El Che Posted January 22, 2012 Report Share Posted January 22, 2012 To my knowledge, it's better not to. Math tasks are like essays, and I assume you shouldn't be using "I"s. Reply Link to post Share on other sites More sharing options...
Eastcoast93 Posted January 22, 2012 Report Share Posted January 22, 2012 okay yeah i will just play it safe. thankyou! Reply Link to post Share on other sites More sharing options...
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