ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: taiga on November 28, 2010, 05:54:35 pm

Title: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on November 28, 2010, 05:54:35 pm
Hey guys,

I wrote something up for a couple of my students/friends and thought I'd share it on here.

It's for anyone doing 3/4 methods, so give it a try and tell me what you think. I plan on writing more during the year and releasing some of them for everyone (including the "VCEnotes" trial papers). It's not made to be hard or challenging, it's just testing some of the components of the 1/2 course, which may be important to know for 3/4.

Let me know what you think, and any errors!

Solutions up! Please inform me if anything is wrong, they are a bit rushed. Pardon me for the quality :X

p.s. VN Ethics brigade, please leave me alone! I'm sharing it for free okay =.=


--------------------------------

Errors I am aware of:
The good luck animal is a cat, not a taiga
Taiga is not how you spell "tiger"
graph should have axis f(x), not y
3b should read the x-axis, y-axis, the line x=-2, and the curve

edit: reuploaded attachments
Title: Re: Methods 3/4 Preparatory Paper
Post by: Romperait on November 28, 2010, 06:05:31 pm
Honestly, if I had done this at the start of the year, I would have been stuck for everything after question 1. >_<

Edit: Pretty good paper on the whole though. I'd do it. =)
Title: Re: Methods 3/4 Preparatory Paper
Post by: vea on November 28, 2010, 06:12:36 pm
Great paper that is definitely do-able with Unit 1 and 2 knowledge.

Haha love the logo xD
Title: Re: Methods 3/4 Preparatory Paper
Post by: werdna on November 28, 2010, 06:15:41 pm
Nice work taiga!

:D
Title: Re: Methods 3/4 Preparatory Paper
Post by: stonecold on November 28, 2010, 06:23:17 pm
Very good paper taiga.

Possibly needs a probability question or two, but other than that, a very good introduction.  :)

Edit: Just saw the prob Q, my bad.

Also this is reflective of this years exam 1, which was mainly calculus based.
Title: Re: Methods 3/4 Preparatory Paper
Post by: taiga on November 28, 2010, 07:12:37 pm
Honestly, if I had done this at the start of the year, I would have been stuck for everything after question 1. >_<

Edit: Pretty good paper on the whole though. I'd do it. =)

Ow, I didn't intend for it to be too difficult, I think there are some things like the period, range, and factorization of a cubic which really are musts for knowing by the end of 1/2 though :X
Title: Re: Methods 3/4 Preparatory Paper
Post by: pi on November 28, 2010, 08:08:22 pm
Honestly, if I had done this at the start of the year, I would have been stuck for everything after question 1. >_<

Edit: Pretty good paper on the whole though. I'd do it. =)

Ow, I didn't intend for it to be too difficult, I think there are some things like the period, range, and factorization of a cubic which really are musts for knowing by the end of 1/2 though :X

After doing 1+2, would say that it is tough, but do-able for sure. Good work taiga!
Title: Re: Methods 3/4 Preparatory Paper
Post by: taiga on November 28, 2010, 08:44:36 pm
Honestly, if I had done this at the start of the year, I would have been stuck for everything after question 1. >_<

Edit: Pretty good paper on the whole though. I'd do it. =)

Ow, I didn't intend for it to be too difficult, I think there are some things like the period, range, and factorization of a cubic which really are musts for knowing by the end of 1/2 though :X

After doing 1+2, would say that it is tough, but do-able for sure. Good work taiga!

Aah that's good to hear sorta, I did want to make it easy-ish though :X
Title: Re: Methods 3/4 Preparatory Paper
Post by: burbs on November 28, 2010, 10:40:07 pm
I don't know what everyone is saying, it wasn't too difficult but I'm glad I did it, found an area I may want to read over again!

Also, Q12, b)... If matt is so bad, why is he on the team?!?!
Title: Re: Methods 3/4 Preparatory Paper
Post by: pi on November 28, 2010, 10:41:28 pm
I don't know what everyone is saying, it wasn't too difficult but I'm glad I did it, found an area I may want to read over again!

Also, Q12, b)... If matt is so bad, why is he on the team?!?!

good point, but thats maths I suppose... logic doesn't play much part in methods 1+2 questions
Title: Re: Methods 3/4 Preparatory Paper
Post by: taiga on November 28, 2010, 10:51:53 pm
I'll put the answers up soonish, there are 1 or 2 tricks in the paper :)
Title: Re: Methods 3/4 Preparatory Paper
Post by: MrT011 on November 28, 2010, 11:07:03 pm
this looks pretty good, might give it a shot tomorrow :P
Title: Re: Methods 3/4 Preparatory Paper
Post by: onur369 on November 29, 2010, 08:01:35 am
Nice paper, do you have the solutions for it ?
Title: Re: Methods 3/4 Preparatory Paper
Post by: Romperait on November 29, 2010, 08:51:31 am
Honestly, if I had done this at the start of the year, I would have been stuck for everything after question 1. >_<

Edit: Pretty good paper on the whole though. I'd do it. =)

Ow, I didn't intend for it to be too difficult, I think there are some things like the period, range, and factorization of a cubic which really are musts for knowing by the end of 1/2 though :X

After doing 1+2, would say that it is tough, but do-able for sure. Good work taiga!

Aah that's good to hear sorta, I did want to make it easy-ish though :X

Sorry, my comment was kinda stupid. I didn't do units 1/2 so at the start of this year much of the stuff on that paper would have been quite foreign to me. Once again, a really good paper. What's your intention with making these? A once off or...?
Title: Re: Methods 3/4 Preparatory Paper
Post by: Andiio on November 29, 2010, 02:22:47 pm
Nice paper :)
Title: Re: Methods 3/4 Preparatory Paper
Post by: taiga on November 30, 2010, 12:18:52 am
Honestly, if I had done this at the start of the year, I would have been stuck for everything after question 1. >_<

Edit: Pretty good paper on the whole though. I'd do it. =)

Ow, I didn't intend for it to be too difficult, I think there are some things like the period, range, and factorization of a cubic which really are musts for knowing by the end of 1/2 though :X

After doing 1+2, would say that it is tough, but do-able for sure. Good work taiga!

Aah that's good to hear sorta, I did want to make it easy-ish though :X

Sorry, my comment was kinda stupid. I didn't do units 1/2 so at the start of this year much of the stuff on that paper would have been quite foreign to me. Once again, a really good paper. What's your intention with making these? A once off or...?

Haha that's good :)

As for making these, I'm going to focus on writing another one of these for Chem, and also working in teams with other VN members to construct 3/4 trial papers.

I am only writing individual ones for chemistry, methods, and gma transitions from 1/2 to 3/4. I think it's something that hasn't really been done before, and hopefully they are of help to people. I also don't mind if tutors (individual private ones) use them to gain an idea of where their students are at, as this was the one of the main purposes of writing this.

I do have a couple more, but I don't intend to release them to the public at this stage, as I'd like to keep some exclusive, and also I don't think they are applicable to a wider audience as much :)
Title: Re: Methods 3/4 Preparatory Paper
Post by: Romperait on November 30, 2010, 01:02:53 pm
Haha that's good :)

As for making these, I'm going to focus on writing another one of these for Chem, and also working in teams with other VN members to construct 3/4 trial papers.

I am only writing individual ones for chemistry, methods, and gma transitions from 1/2 to 3/4. I think it's something that hasn't really been done before, and hopefully they are of help to people. I also don't mind if tutors (individual private ones) use them to gain an idea of where their students are at, as this was the one of the main purposes of writing this.

I do have a couple more, but I don't intend to release them to the public at this stage, as I'd like to keep some exclusive, and also I don't think they are applicable to a wider audience as much :)

Sweet. I'll definitely look forward to seeing the chemistry one.

(I would +karma but I'm kinda newb :P)
Title: Re: Methods 3/4 Preparatory Paper
Post by: taiga on November 30, 2010, 06:47:26 pm
Haha that's good :)

As for making these, I'm going to focus on writing another one of these for Chem, and also working in teams with other VN members to construct 3/4 trial papers.

I am only writing individual ones for chemistry, methods, and gma transitions from 1/2 to 3/4. I think it's something that hasn't really been done before, and hopefully they are of help to people. I also don't mind if tutors (individual private ones) use them to gain an idea of where their students are at, as this was the one of the main purposes of writing this.

I do have a couple more, but I don't intend to release them to the public at this stage, as I'd like to keep some exclusive, and also I don't think they are applicable to a wider audience as much :)

Sweet. I'll definitely look forward to seeing the chemistry one.

(I would +karma but I'm kinda newb :P)

I don't think I'll get chem done till about January 12 though :(
Title: Re: Methods 3/4 Preparatory Paper
Post by: namcow on December 01, 2010, 08:12:50 pm
excellent paper.
not overly difficult, but not easy either.

get the answers up asap!
Title: Re: Methods 3/4 Preparatory Paper
Post by: taiga on December 02, 2010, 12:29:51 pm
excellent paper.
not overly difficult, but not easy either.

get the answers up asap!

Will be up sunday night :)
Title: Re: Methods 3/4 Preparatory Paper
Post by: 8039 on December 02, 2010, 02:44:50 pm
lol at a black cat telling me 'good luck'!
Title: Re: Methods 3/4 Preparatory Paper
Post by: Anaath on December 02, 2010, 05:14:46 pm
Great work! :)
Most of it's relatively simple after having done 1/2.
One or two questions did seem a little tricky though.
I'll wait for answers to check (:
Hope we get to see more of these soon :D
Title: Re: Methods 3/4 Preparatory Paper
Post by: taiga on December 04, 2010, 01:02:36 pm
Solutions are up

Apologies for horrendous quality
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: onur369 on December 04, 2010, 01:22:45 pm
Thanks Taiga, good paper!
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: iNerd on December 04, 2010, 02:26:21 pm
Quote
5b should read the x-axis, y-axis, the line x=-2, and the curve

I think you meant 3b taiga...
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on December 04, 2010, 02:41:35 pm
Quote
5b should read the x-axis, y-axis, the line x=-2, and the curve

I think you meant 3b taiga...


Thank you :)
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: ech_93 on December 06, 2010, 09:15:46 pm
Hey taiga,
great exam, really helpful!
The only question i got stuck on was 3b...
I hope this isn't a stupid question but...when you get a chance; could you just type out the method on here? I looked at the solutions but i'm a bit confused at how to work that one out.

thanks heaps!
:)
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on December 06, 2010, 09:19:18 pm
Basically the question is asking what the area bound between the curve, the x-axis, and the y-axis is.

We can do this by finding when the graph hits x=-2 and the y axis (-2 and 0 respectively)

Then we integrate the function in question with respect to x, from -2 to 0. This is the most common method of finding area under the curve in methods :)

The solution there has it in its expanded form however.

If that doesen't clear it up just ask :)
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: ech_93 on December 06, 2010, 09:23:19 pm
Ohhh okay, that makes sense...
Thanks for your help! :)
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: dude on December 06, 2010, 10:19:25 pm
Will we ever be given a domain of 0<x<7?

Also, does getting the log question right, but then moving the y to the top get marks?
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: burbs on December 06, 2010, 10:26:57 pm
I've been meaning to do this the day you uploaded it.
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on December 07, 2010, 04:04:25 pm
Will we ever be given a domain of 0<x<7?

Also, does getting the log question right, but then moving the y to the top get marks?

How would you go about moving the y to the top? :S
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: Hutchoo on December 12, 2010, 12:32:44 am
It's nice..

GET BETTER HAND WRITING?
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on December 15, 2010, 08:03:29 pm
It's nice..

GET BETTER HAND WRITING?

Haha sorry, if you have any questions about solutions, I'm happy to explain :)
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on January 03, 2011, 03:59:03 am
If anyone has done it, could you please tell me how you went

thanks!
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: onur369 on January 03, 2011, 09:13:04 am
Its pretty good, doing this paper gave me a more confident approach towards methods since I thought I was behind because of last year. Thanks Taiga.
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on January 03, 2011, 08:41:28 pm
I think if you can do any of the questions there you're at a stage to just start on the theory from 3/4 without any major need to revise 1/2.

Though I'm somewhat halfway through a second tech-active paper which will go into more depth
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on January 29, 2011, 11:54:24 pm
I'm giving this a casual bump just so people can try it out before the holiday's end, and then I shall let it die a peaceful death :)
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: Blakhitman on January 30, 2011, 01:11:47 am
Good paper here.

if you can't do some (or most) of these questions don't be discouraged...this is probably more difficult than the 2010 VCAA exam.
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on January 30, 2011, 02:44:24 pm
yes definitely don't be discouraged, it can all be done with 1/2 knowledge nonetheless
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: onur369 on January 30, 2011, 02:46:22 pm
Are you serious that this is more difficult?
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on January 30, 2011, 03:27:15 pm
probably not :P
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: onur369 on January 30, 2011, 03:31:59 pm
My confidence went down like a negative parabola just there..... :(
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: goham on October 14, 2011, 12:26:06 pm
Hey guys,

I wrote something up for a couple of my students/friends and thought I'd share it on here.

It's for anyone doing 3/4 methods, so give it a try and tell me what you think. I plan on writing more during the year and releasing some of them for everyone (including the "VCEnotes" trial papers). It's not made to be hard or challenging, it's just testing some of the components of the 1/2 course, which may be important to know for 3/4.

Let me know what you think, and any errors!

Solutions up! Please inform me if anything is wrong, they are a bit rushed. Pardon me for the quality :X

p.s. VN Ethics brigade, please leave me alone! I'm sharing it for free okay =.=


--------------------------------

Errors I am aware of:
The good luck animal is a cat, not a taiga
Taiga is not how you spell "tiger"
graph should have axis f(x), not y
3b should read the x-axis, y-axis, the line x=-2, and the curve
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: taiga on October 14, 2011, 12:41:44 pm
If you are looking for the exam, it can be found in the 'Notes' section of the website :)
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: jinny1 on October 14, 2011, 05:57:22 pm
If you are looking for the exam, it can be found in the 'Notes' section of the website :)

sorry are you able to post the link??? i can't find it for some reason
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: pi on October 14, 2011, 06:09:19 pm
http://www.atarnotes.com/?p=notes&a=feedback&id=539
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: SteliosV on November 05, 2012, 10:20:28 pm
Where can I find solutions?
Title: Re: Methods 3/4 Preparatory Paper +Solutions
Post by: Lasercookie on November 05, 2012, 10:30:17 pm
Where can I find solutions?
I don't know where the original files on the site are but I've got them on my computer so I'll reupload them onto the main post. Check back in a couple of minutes, should have it up by then.

edit: they're up