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!! HL Maths 2015 - predictions, guesses, Q & A, discussion ...

  • 26-01-2015 1:17pm
    #1
    kcull
    Registered Users Posts: 9 ✭


    Maths
    - inferential stats seeing as it's the first time they are examinable
    - one of the theorems hasn't come up, so whichever one that is, I can't remember

    All conjecture, I know someone who writes the exams and the general guidelines for "predictions" is don't do them obviously, but if you're going to, don't look so much at "patterns" but at 1. what was answered terribly at OL, they then ask it at HL because they suspect the teachers aren't teaching it well (same for what was answered badly last year on HL) and 2. have a gander at the chief examiner's report if you were lucky enough to do a subject that got one last year, they're usually pretty indicative of what they'll ask again

    Again, all conjecture, have a bit of cop on and don't leave yourself bare anywhere! best of luck to everyone
    Tagged:


«13456789

Comments

  • #2
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    kcull wrote: »
    Maths
    - inferential stats seeing as it's the first time they are examinable
    - one of the theorems hasn't come up, so whichever one that is, I can't remember

    Again, all conjecture, have a bit of cop on and don't leave yourself bare anywhere! best of luck to everyone

    Hey, is there anything else that is being examined in maths this year that hasnt been in previous? I remember someone saying new content was added this year that our books didn't have but we definitely have the inferential statistics like hypothesis testing, empirical rule etc.

    I'd love if that came up as a long question on P2, very easy.


  • #3
    kcull
    Registered Users Posts: 9 ✭kcull


    Kremin wrote: »
    Hey, is there anything else that is being examined in maths this year that hasnt been in previous? I remember someone saying new content was added this year that our books didn't have but we definitely have the inferential statistics like hypothesis testing, empirical rule etc.

    I'd love if that came up as a long question on P2, very easy.
    there certainly is, in fact theres an entire supplement that isnt in the book of stuff examinable from 2015. i think your teacher has to order the supplement from folens. looking at it now it has

    1. binomial expansions (probability)
    2. sampling dist of the mean
    3. Confidence interval
    4. estimation of population proportion
    5. confidence interval for a proportion
    6. hypothesis testing
    7. components of a formal hypothesis test
    8. p-values 9. rotations (enlargements).

    my teacher said the stuff in the book that currently covers all of the above is now just OL material. thats all the info i have!


  • #4
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    kcull wrote: »
    there certainly is, in fact theres an entire supplement that isnt in the book of stuff examinable from 2015. i think your teacher has to order the supplement from folens. looking at it now it has 1. binomial expansions (probability) 2. sampling dist of the mean 3.
    Confidence interval 4. estimation of population proportion 5. confidence interval for a proportion 6. hypothesis testing 7. components of a formal hypothesis test 8. p-values 9. rotations (enlargements). my teacher said the stuff in the book that currently covers all of the above is now just OL material. thats all the info i have!

    Interesting, we have all that in our book but for hypothesis testing its basically find margin of error, get confidence interval... etc but when i checked an answer on examit.ie it was using like sqrt npq +/- standard deviation or something. No mention of it in our books...


  • #5
    kcull
    Registered Users Posts: 9 ✭kcull


    Kremin wrote: »
    Interesting, we have all that in our book but for hypothesis testing its basically find margin of error, get confidence interval... etc but when i checked an answer on examit.ie it was using like sqrt npq +/- standard deviation or something. No mention of it in our books...

    yes thats in the new supplement. get on to your teacher about it or take matters into your own hands and email Folens! its free afaik. all the stuff is real easy in it, but of course the trick is knowing it actually exists! it wasnt publicised or advertised that new stuff was examinable so the teachers who dont go to every single conference (95%) didnt know about it really. ours only heard by chance in december. also another change is that up til now theres always been a choice in geometry P2 between 6a and 6b but theyre getting rid of that this year and there wont be a choice anymore.


  • #6
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    kcull wrote: »
    yes thats in the new supplement. get on to your teacher about it or take matters into your own hands and email Folens! its free afaik. all the stuff is real easy in it, but of course the trick is knowing it actually exists! it wasnt publicised or advertised that new stuff was examinable so the teachers who dont go to every single conference (95%) didnt know about it really. ours only heard by chance in december. also another change is that up til now theres always been a choice in geometry P2 between 6a and 6b but theyre getting rid of that this year and there wont be a choice anymore.

    I knew about the choice, great -____-.
    It really sucks with maths that people capable of getting A's might not get them due to not knowing that a part of the course exists.


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  • #7
    spurious
    Moderators, Category Moderators, Education Moderators Posts: 27,264 CMod ✭✭✭✭spurious


    Kremin wrote: »
    I knew about the choice, great -____-.
    It really sucks with maths that people capable of getting A's might not get them due to not knowing that a part of the course exists.

    As I keep saying, it is what is on the syllabus is important,not what is in textbooks.


  • #8
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    spurious wrote: »
    As I keep saying, it is what is on the syllabus is important,not what is in textbooks.

    Is there anywhere i can get a list of the syllabus? Also is there somewhere you can download sample papers or get the 2015 sec sample paper? Theres one for 2014, 2013, 2012 but I can't find one for 2015.


  • #9
    spurious
    Moderators, Category Moderators, Education Moderators Posts: 27,264 CMod ✭✭✭✭spurious


    https://examinations.ie/index.php?l=en&mc=sc&sc=ma

    That page also has links to various circulars about changes.


  • #10
    BuckleyX7
    Registered Users Posts: 8 ✭BuckleyX7


    kcull wrote: »
    yes thats in the new supplement. get on to your teacher about it or take matters into your own hands and email Folens! its free afaik. all the stuff is real easy in it, but of course the trick is knowing it actually exists! it wasnt publicised or advertised that new stuff was examinable so the teachers who dont go to every single conference (95%) didnt know about it really. ours only heard by chance in december. also another change is that up til now theres always been a choice in geometry P2 between 6a and 6b but theyre getting rid of that this year and there wont be a choice anymore.

    Folens will post it out to you for free if you email them. I emailed them last night and they're sending it out to me free of charge.


  • #11
    RoRo979
    Registered Users Posts: 476 ✭✭RoRo979


    bernoulli and z-scores also


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  • #12
    is mise spartacus
    Registered Users, Registered Users 2 Posts: 1,027 ✭✭✭is mise spartacus


    Amortisation schedule for maths


  • #13
    Fiona G
    Registered Users Posts: 130 ✭✭Fiona G


    Hypothesis testing, test statistics, p-values etc.


  • #14
    markysull123
    Registered Users Posts: 10 ✭markysull123


    Leaving Cert Higher Level Maths Predictions

    www.studyclix.ie/Discuss/Leaving-Cert-Mathematics/leaving-cert-predictions-2015


  • #15
    randylonghorn
    Registered Users, Registered Users 2 Posts: 29,509 ✭✭✭✭randylonghorn


    Some of the HL Maths stuff gathered together on one thread


  • #16
    DublinArnie
    Closed Accounts Posts: 2,823 ✭✭✭DublinArnie


    For logs, can someone explain what value does 'd' become for the change of Base formula?

    Log3^4 = Logd4/Logd3

    I can't wrap my mind around d. No book or website clearly explains what d is...


  • #17
    Peregrine
    Moderators, Education Moderators Posts: 26,403 Mod ✭✭✭✭Peregrine


    DublinArnie wrote: »
    For logs, can someone explain what value does 'd' become for the change of Base formula?

    Log3^4 = Logd4/Logd3

    I can't wrap my mind around d. No book or website clearly explains what d is...

    It's the change of base formula, you tell me what you want to change it to :p

    Usually people use it to change logs with non-standard bases to standard log bases of 10 or e. It explains it pretty well here.


  • #18
    DublinArnie
    Closed Accounts Posts: 2,823 ✭✭✭DublinArnie


    Nim wrote: »
    It's the change of base formula, you tell me what you want to change it to :p

    Usually people use it to change logs with non-standard bases to standard log bases of 10 or e. It explains it pretty well here.

    Oh okay, but you'd still get the same answer if d was x or y?

    That's really handy! Didn't know we got to pick the Base... I'm so dim :p


  • #19
    DublinArnie
    Closed Accounts Posts: 2,823 ✭✭✭DublinArnie


    Can someone show me how to do this question?

    The BOTB answer is x = 1/8, but I got x^2=1/8

    How do I get rid of the ^2???

    I tried to use the division rule by switching the x^2 but they have different bases..

    Q29


  • #20
    skippy1977
    Registered Users, Registered Users 2 Posts: 284 ✭✭skippy1977


    If you express each of the equations in terms of y, and the let them equal each other.
    unnamed.png


  • #21
    owenoneill
    Closed Accounts Posts: 5 ✭owenoneill


    Im still unsure about which proofs and theorems we need to know. I can't find a full list anywhere... I know we have the trigonometry ones, but do we have to prove De Moivre's Theorem and others too? All help appreciated.


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  • #22
    MmmPancakes
    Registered Users, Registered Users 2 Posts: 712 ✭✭✭MmmPancakes


    owenoneill wrote: »
    Im still unsure about which proofs and theorems we need to know. I can't find a full list anywhere... I know we have the trigonometry ones, but do we have to prove De Moivre's Theorem and others too? All help appreciated.

    De Moivre's theorem needs to be proved, there's a couple of other ones too. Amortisation formula, infinite geometric series summation formula (Really short), the regular geometry proofs and constructions, trig proofs (Compound angle stuff and sine/cosine rules etc). Run through your book and look for each derivation


  • #23
    BlueWolf16
    Registered Users, Registered Users 2 Posts: 126 ✭✭BlueWolf16


    Just a short question, is it true than in the maths exam, you can attempt a single question how many times you want ? Like, let's say you are doing a statistics question and when you get the z-score you don't know whether you have to take it away from 1 or not, can you do the question :

    1st time: not taking 1 away, proceeding, getting an answer,

    2nd time: drawing a line under, and this time taking away the 1, and getting an answer..

    Do you have to specify which is your final/most confident answer? If you 'start' the question again, do you have to do every step, or can you just move to the part where you worked out in the previous try and where you got stuck?

    Ps. this is for higher level maths.


  • #24
    podisyc
    Registered Users Posts: 17 ✭podisyc


    For anyone who isn't sure what they have to know, Look up the the syllabus for Leaving Cert 2015 on the NCCA website. Yes de Moivre's theorem can be asked to be proven using induction, which I think may be likely to come up this year.


  • #25
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    Proof for DeMoivre's theorem isn't even that bad.. just practice it once or twice to know the best method to show it's true.


  • #26
    DarraghF197
    Registered Users Posts: 1,307 ✭✭✭DarraghF197


    Do we have to prove theorems 4,6,9,14 and 19 (Junior Cert theorems) or is it just 11,12 and 13 we need to prove? I'm fairly sure I know we don't, but I want to be 100% confident going into the exams!


  • #27
    BlueWolf16
    Registered Users, Registered Users 2 Posts: 126 ✭✭BlueWolf16


    DarraghF197 wrote: »
    Do we have to prove theorems 4,6,9,14 and 19 (Junior Cert theorems) or is it just 11,12 and 13 we need to prove? I'm fairly sure I know we don't, but I want to be 100% confident going into the exams!

    Just 11,12,13


  • #28
    OMGeary
    Registered Users Posts: 251 ✭✭OMGeary


    BlueWolf16 wrote: »
    Just 11,12,13

    Are you sure, my teacher said the HL junior cert ones can be asked too ???


  • #29
    skippy1977
    Registered Users, Registered Users 2 Posts: 284 ✭✭skippy1977


    It's a bit vague this. The syllabus says "prove theorems 11,12,13". The question I suppose is whether material that has been prescribed for the JC is still examinable.
    Constructions 16 to 22 are the only ones mentioned on the LC HL Syllabus but we would have to assume that constructions 1 to 15 need to be known (which are prescribed at JC HL).

    One of the mock companies asked Theorem 19 earlier in the year.

    I would look over them in case....4,6,9 are very easy. 19 is straight forward with only Pythagoras (no 14) being a bit more time consuming to learn.

    Having said that I think there would be uproar if asked.


  • #30
    dazzadazza
    Registered Users Posts: 117 ✭✭dazzadazza


    BlueWolf16 wrote: »
    Just a short question, is it true than in the maths exam, you can attempt a single question how many times you want ? Like, let's say you are doing a statistics question and when you get the z-score you don't know whether you have to take it away from 1 or not, can you do the question :

    1st time: not taking 1 away, proceeding, getting an answer,

    2nd time: drawing a line under, and this time taking away the 1, and getting an answer..

    Do you have to specify which is your final/most confident answer? If you 'start' the question again, do you have to do every step, or can you just move to the part where you worked out in the previous try and where you got stuck?

    Ps. this is for higher level maths.
    I also heard that if you do a question once, put a line through it and attempt it again, they mark the one that gives you the most marks. I'm not sure about this though because I'd imagine that people would be quick to abuse this.


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  • #31
    OMGeary
    Registered Users Posts: 251 ✭✭OMGeary


    dazzadazza wrote: »
    I also heard that if you do a question once, put a line through it and attempt it again, they mark the one that gives you the most marks. I'm not sure about this though because I'd imagine that people would be quick to abuse this.

    Worked for me in the mock :)


  • #32
    RoRo979
    Registered Users Posts: 476 ✭✭RoRo979


    We should really get this cleared by an examiner but I personally think if the right answer is there, then you get full marks. It like if it asks you to prove some cubic has 2 unreal roots and your left with lets say. 2 +- (sqr root)-16/-2 but you decide to simplify it further. if you did you would get -1 + 2i and -1 - 2i. But lets say you simplified it wrong. The part where the surd is is the correct answer so you will still yield full marks, even though your attempt to show off you can go further failed.

    Disclaimer: This may not be fact but my teacher said it and worked in tests i have done


  • #33
    Magnate
    Closed Accounts Posts: 877 ✭✭✭Magnate


    dazzadazza wrote: »
    I also heard that if you do a question once, put a line through it and attempt it again, they mark the one that gives you the most marks. I'm not sure about this though because I'd imagine that people would be quick to abuse this.

    I think it's the same for most subjects in any questions where surplus incorrect answers do not cancel out correct answers. Basically never scribble anything out, but instead put a line through it so that the examiner can still read it and award marks if it's correct.


  • #34
    Confused2015
    Registered Users Posts: 8 ✭Confused2015


    anyone know exactly which proofs could come up in which paper or is it just completely random?


  • #35
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    Confused2015 wrote: »
    anyone know exactly which proofs could come up in which paper or is it just completely random?

    Proofs will always be question 6 paper 2 (geometry ones anyway)
    On paper 1 they might ask to prove something by contradiction, i.e root 2 is irrational. They might ask you to prove demoivres theorem by induction.

    On paper two, they can ask the trig identity proofs which arent too difficult to learn honestly.

    http://www.boards.ie/vbulletin/showthread.php?t=2057221461&page=2 look in here...


    Also in relation to that thread, https://www.folens.ie/sites/default/files/resources/ML5310_AM4_Bk%201_Booklet.pdf apparently you need to be able to find the tangent to a circle by differentiation, so handy to do a few of those.


  • #36
    Blue giant
    Registered Users, Registered Users 2 Posts: 1,336 ✭✭✭Blue giant


    Kremin wrote: »
    Proofs will always be question 6 paper 2 (geometry ones anyway)

    Just to point out that according to my teacher this doesn't have to be the case anymore. It more than likely will but he said that they could come up anywhere in paper 2 or none at all either.


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  • #37
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    Blue giant wrote: »
    Just to point out that according to my teacher this doesn't have to be the case anymore. It more than likely will but he said that they could come up anywhere in paper 2 or none at all either.

    Really? I thought they just removed the option i.e do either 6A OR 6B


  • #38
    Blue giant
    Registered Users, Registered Users 2 Posts: 1,336 ✭✭✭Blue giant


    Kremin wrote: »
    Really? I thought they just removed the option i.e do either 6A OR 6B

    I'm not certain but that's what I was told.


  • #39
    RoRo979
    Registered Users Posts: 476 ✭✭RoRo979


    implicit differentiation....... i was told by my teacher at the start of the year it was off our course, and now its back on, Think ill just learn the first 2 steps ang get attempt marks


  • #40
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    RoRo979 wrote: »
    implicit differentiation....... i was told by my teacher at the start of the year it was off our course, and now its back on, Think ill just learn the first 2 steps ang get attempt marks

    honestly it isnt that hard but yeah im sure anyone who didnt even have a knowledge of implicit differentiation could get most of the attempt marks.. the difficulty is changing dy^2/dx into a usable expression.


  • #41
    Troxck
    Closed Accounts Posts: 1,386 ✭✭✭Troxck


    Kremin wrote: »
    honestly it isnt that hard but yeah im sure anyone who didnt even have a knowledge of implicit differentiation could get most of the attempt marks.. the difficulty is changing dy^2/dx into a usable expression.

    Found this on the Project Maths site re: Implicit Differentiation...

    "Recently two supplements have appeared on the Folens website regarding extra material which they say can be examined in 2015 .

    One supplement involves Implicit Differentiation and gives the impression that differentiation of Implicit functions can be examined .

    Projectmaths.com has been in contact with the NCCA

    This is their reply “It’s worth noting that the syllabus dos not specifically mention implicit differentiation. Thus, it cannot be assumed that students have studied this approach (but may of course use it validly) and an exam question would be set or scaffolded in such a way that the student is able to apply the required differentiation. The specific learning outcome relates to finding the slope of a tangent to a circle, and the type of representation of a circle that is relevant is stated in Section 2.2 (co-ordinate geometry). In a follow up question to clarify the previous answer we received the following”

    ”Since implicit differentiation is not specified in the learning outcome, the student will not be asked to differentiate x^2 + y^2 + 2gx + 2fy + c. ”"

    So, it's not on it, right?


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  • #42
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    Troxck wrote: »
    Found this on the Project Maths site re: Implicit Differentiation...

    "Recently two supplements have appeared on the Folens website regarding extra material which they say can be examined in 2015 .

    One supplement involves Implicit Differentiation and gives the impression that differentiation of Implicit functions can be examined .

    Projectmaths.com has been in contact with the NCCA

    This is their reply “It’s worth noting that the syllabus dos not specifically mention implicit differentiation. Thus, it cannot be assumed that students have studied this approach (but may of course use it validly) and an exam question would be set or scaffolded in such a way that the student is able to apply the required differentiation. The specific learning outcome relates to finding the slope of a tangent to a circle, and the type of representation of a circle that is relevant is stated in Section 2.2 (co-ordinate geometry). In a follow up question to clarify the previous answer we received the following”

    ”Since implicit differentiation is not specified in the learning outcome, the student will not be asked to differentiate x^2 + y^2 + 2gx + 2fy + c. ”"

    So, it's not on it, right?
    Well according to that it's not, which is good I guess :p.

    --heres hoping they do ask it for 25 marks and then they realise it wasnt actually in the syllabus and everyone gets 25 marks by default.


  • #43
    NLPcrunchy
    Registered Users Posts: 4 ✭NLPcrunchy


    Anyone know if we are allowed use integration by substitution?


  • #44
    Peregrine
    Moderators, Education Moderators Posts: 26,403 Mod ✭✭✭✭Peregrine


    NLPcrunchy wrote: »
    Anyone know if we are allowed use integration by substitution?

    Don't take my word for it but I don't think you'd be marked down for a valid method even if it's not on the syllabus.

    But I can't see why you would ever have to use it.


  • #45
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    NLPcrunchy wrote: »
    Anyone know if we are allowed use integration by substitution?

    Doubt they'd mark you down for it but any integration question that comes up will just be one by following a rule in the tables, why bother with substitution?


  • #46
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    Does anyone here have the educate.ie exam papers by any chance?? Need help with a question


  • #47
    RPR
    Registered Users Posts: 6 ✭RPR


    They have solutions for free on educate website


  • #48
    Hon the Dubs
    Registered Users Posts: 160 ✭✭Hon the Dubs


    Ye what question Kremin?


  • #49
    SB22
    Registered Users Posts: 20 ✭SB22


    Any good sites for financial maths or inferential statistics? Got stick with a sub teacher who might as well be a student . Hopeless at explaining even the most simple things


  • #50
    Kremin
    Registered Users Posts: 944 ✭✭✭Kremin


    Hon the Dubs wrote: »
    Ye what question Kremin?

    Question 7 Sample 2 Paper 1... mainly just part f....

    Actually wait, just looked at the answers and I realised I actually have the right answer...
    I dont understand why it tells you the rate of change of the volume now... it's not relevant at all?


  • #51
    DublinArnie
    Closed Accounts Posts: 2,823 ✭✭✭DublinArnie


    Can't find a solution this question.... 2011 phase 2 project maths sample paper.

    Anyone want to give this a try?


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