Year 11 Revision

[Tessy_g]

Hi Jamon!
Went to your lecture on Monday Morning, really really worthwhile ( as were all of them ) travelling from Albury!

Anyway, i have trials in a month, and i am wondering what are the main year 11 topics i need to make sure i have down pat for maths?

Thanks so much

[RuiAce]

Hi Jamon!
Went to your lecture on Monday Morning, really really worthwhile ( as were all of them ) travelling from Albury!

Anyway, i have trials in a month, and i am wondering what are the main year 11 topics i need to make sure i have down pat for maths?

Thanks so much

Please avoid these ways of thought. The correct answer is every single topic.

You never know what will be on your exam, so you must anticipate the worst possible scenario - everything is on there.


One comment I will make - In the Yr 11 syllabus, everyone forgets stuff on the locus topic. Everyone also forgets to use the quadratic discriminant because they're not used to complicated-wordy-applied questions that require it.

[jamonwindeyer]

Hi Jamon!
Went to your lecture on Monday Morning, really really worthwhile ( as were all of them ) travelling from Albury!

Anyway, i have trials in a month, and i am wondering what are the main year 11 topics i need to make sure i have down pat for maths?

Thanks so much

Hey Tessy! I definitely agree with Rui, you should be familiar with all Prelim topics!  that being said, there are some that are particularly important so that you can access the HSC Topics. I would argue those topics are:

- Differentiation and Integration techniques, vital for a variety of Applications of Calculus questions, worth a solid third of your marks in any HSC exam!
- Trigonometry (to help with Trig Functions in Year 12)
- Function Theory (to help with learning about things like Logs and Exponentials)

Those are, I would argue, the main three! Definitely though, it is all assessable, so you must familiar with all of it! And as Rui said, be careful of the often neglected topics (EG - locus, circle geometry). To gauge where you might need some work, maybe do some Chapter summaries from the Prelim Topics, or even go back and do some Year 11 Yearly exams?? Definitely worth a go to revise that old content 

[jakesilove]

Hi Jamon!
Went to your lecture on Monday Morning, really really worthwhile ( as were all of them ) travelling from Albury!

Anyway, i have trials in a month, and i am wondering what are the main year 11 topics i need to make sure i have down pat for maths?

Thanks so much

Also, don't forget first principles (I'm certain that must be Year 11, right?)! My brother is doing his 2U HSC this year, and just didn't even think to revise first principles. Got into the exam room, and a four mark question requiring a detailed understanding and analysis. Which just goes to show that, really, as Rui says you may need anything from the course!

[mfjw]

Hi ATAR Notes maths people!
I have a question regarding year 11 revision, below:

Solve:
12p-7q+1=0
8p+7q-11=0

How do I solve this question by using elimination? Also the topic I'm studying for school right now is Simultaneous Equations.
I never know whether the signs are meant to be positive or negative - I always get them mixed up.

Thanks! ~ M.

P.S. I went to your free lectures over the past week and they were extremely helpful!

[RuiAce]

Hi ATAR Notes maths people!
I have a question regarding year 11 revision, below:

Solve:
12p-7q+1=0
8p+7q-11=0

How do I solve this question by using elimination? Also the topic I'm studying for school right now is Simultaneous Equations.
I never know whether the signs are meant to be positive or negative - I always get them mixed up.

Thanks! ~ M.

P.S. I went to your free lectures over the past week and they were extremely helpful!

[mfjw]

Thank you so much! Your explanation was very clear

[mfjw]

Hi ATAR Notes!

My school teacher hasn't taught me how to express recurring decimals as fractions in simplest form, such as in the question below:
 
Express as a fraction in simplest form:
0.72 - the recurring dots are on the 7 and the 2, so 0.72727272727272....

[RuiAce]

Hi ATAR Notes!

My school teacher hasn't taught me how to express recurring decimals as fractions in simplest form, such as in the question below:
 
Express as a fraction in simplest form:
0.72 - the recurring dots are on the 7 and the 2, so 0.72727272727272....

[jamonwindeyer]

Hi ATAR Notes!

My school teacher hasn't taught me how to express recurring decimals as fractions in simplest form, such as in the question below:
 
Express as a fraction in simplest form:
0.72 - the recurring dots are on the 7 and the 2, so 0.72727272727272....

Hey!! No worries at all, it's a clever method that works the same every time.

So let us put x equal to the recurring decimal. Then, let us also consider 100x, you'll see why:



What we see here is that the recurring decimals actually line up with each other!! In general, we always consider x, and then x multiplied by 10 once for every recurring decimal. This has two, so we consider 100x. If it were 4, we'd consider 10,000x. That just guarantees the repeats will line up. Now, we subtract the first equation from the second, because everything after the decimal point cancels:



Basically, we've been clever and allowed subtraction to cancel out the recurrence!! From there we just simplify.

Edit: Rui gave a method as I finished typing this, but this sort of explains the methodology behind it 

[jakesilove]

Hey!! No worries at all, it's a clever method that works the same every time.

So let us put x equal to the recurring decimal. Then, let us also consider 100x, you'll see why:



What we see here is that the recurring decimals actually line up with each other!! In general, we always consider x, and then x multiplied by 10 once for every recurring decimal. This has two, so we consider 100x. If it were 4, we'd consider 10,000x. That just guarantees the repeats will line up. Now, we subtract the first equation from the second, because everything after the decimal point cancels:



Basically, we've been clever and allowed subtraction to cancel out the recurrence!! From there we just simplify.

Edit: Rui gave a method as I finished typing this, but this sort of explains the methodology behind it 

Also; pro tip. You can just type a bunch of decimal places into you calculator and hit equals. Then, there is usually a decimal --> fraction converting button. Hit that and, if you're calculator is good enough, it will literally give you the answer. Maybe you use this to check your answer, maybe you use it to get the answer, up to you! Always cheat whenever you can.

Jake

[jamonwindeyer]

Also; pro tip. You can just type a bunch of decimal places into you calculator and hit equals. Then, there is usually a decimal --> fraction converting button. Hit that and, if you're calculator is good enough, it will literally give you the answer. Maybe you use this to check your answer, maybe you use it to get the answer, up to you! Always cheat whenever you can.

Jake

OMG no way!! Awesome. Although you'd probably need working out for marks 

[mfjw]

Thanks so much for all your explanations! It's really helpful and easy to understand

I'm having trouble understanding Difference of Two Squares and Perfect Squares? My Maths teacher says it's vital that I understand it to get a good mark in the HSC.

[Syndicate]

Thanks so much for all your explanations! It's really helpful and easy to understand

I'm having trouble understanding Difference of Two Squares and Perfect Squares? My Maths teacher says it's vital that I understand it to get a good mark in the HSC.

Different of two squares occurs where two brackes have the opposite signs:


For example:


perfect squares occurs where you basically multiply the bracket by itself:


Both of them (perfect squares and diffences of two squares) involves expanding the brackets via FOIL

[jamonwindeyer]

Thanks so much for all your explanations! It's really helpful and easy to understand

I'm having trouble understanding Difference of Two Squares and Perfect Squares? My Maths teacher says it's vital that I understand it to get a good mark in the HSC.

Just to add to Syndicate's response above, a shortcut for the perfect squares in words (without needing the formula, perhaps a little easier) is this:

- Square the first, plus
- Square the last, plus
- Double the Product

The first two bits are always positive, the last bit can be either positive or negative depending on the signs involved  for example:



Might be a bit nicer to think about without the pro numerals, I know that was my preference  Basically, both are just algebraic shortcuts, but both are seriously important if you want to get through Mathematics questions quickly, because they show up a lot