Year 8 ALGEBRA hellllllpppp! OMG I can't believe they expect 12 year olds to do this.(32 Posts)
My daughter's in tears about her homework.
There are three sections marked MUST (be able to do), SHOULD and COULD.
We're half way through MUST and stuck and it's not for want of extensive googling.
I'd be really grateful if anyone could tell me what the answer is and how you worked it out.
Half (as in the fraction one over two) to the power of minus 3.
Forever in your debt.
But that isn't algebra? Are they asking her to calculate it? If so I presume that she is allowed to use a calculator?
ok the answer is 8 (apparently)
but it's really hard to explain
[http://uk.answers.yahoo.com/question/index?qid=20100827020014AAHKqsN this]] explains it using half to the power -2
Its half x half x half and minus x minus x minus which works out as minus one eighth i think!
It means the inverse of a half, then raise to the power of 3. So flip 1/2 upside down (inverse) and it becomes 2/1 which is just 2. Then do 2 to the power of 3, ie 2 cubed.
Not used very rigorous language there, but hope it makes sense.
yy, not algebra. I guess a precursor to algebra if anything.
No sorry the above posters are right it's 8 (oh dear and I got a B in my further maths a level - was a long time ago )
I have no idea what any of you are going on about... and they expect a year 8 to do this?! I have no chance of ever helping DS with his secondary school maths homework
This is grade A GCSE stuff, so beyond level 8 and therefore ridiculous to have as a 'All MUST' objective, especially for the start of Y8.
The mind boggles as to what the harder stuff will be.
I would send in a note saying that it was too difficult. Don't waste your time on it any further, it is not worth crying over.
The answer is 8.
If a number is to a negative power than first find the recipricol eg 1/2 becomes 2/1=2 then do that number to the original power so........ 2 power3=8.
Didn't she do this in class?
If she doesn't understand it, she should go and see the teacher tomorrow. Googling the answers and getting your mum to help isn't doing her any good - the point of homework is to check that she has understood the class work. You're doing her no favours.
DS1 is in Y* and able at maths.
He had a quick look and said "probably something like -1.5. He only ever has a quick look at anything, so if he couldn't do it then I wouldn't expect any other Y8 to do it unless they were exceptional.
"One over two to the minus three" is the same as "two to the three" or "two cubed".
Answer = 8, as others have said.
My DD is in Y8 - I will ask her if she has done this work.
Thanks all. We got there in the end. It is indeed 8. In the COULD section there are things like 625 over 16 in brackets to the power of minus 3/4. Insanely hard. I'm glad some of you think so too.
Rita I disagree that it's not doing her any good and there's no point expecting her to go into class and sort it out because she has an utterly shite maths teacher for the second year running. Because of this we are having to work at home to have any chance at understanding what she is supposed to be learning there.
Her classmates are struggling too and they can afford maths tutors luckily for them. We can't so it'll just have to be me.
Thanks for you help everyone. I may be back. [flowers]
By the way it was I, not the school, who thought it was algebra. Which just goes to show what a long way I have come this evening.
What level is your DD working at (what did she get at the end of Y7) and what is her KS3 target?
Because that MUST section is wildly inappropriate as an expectation for a whole Y8 class (even a top set) and the COULD section would fox all but the brightest GCSE candidate. (If you want evidence, look here and click on the Powers and Surds document under 'Grade A' - question 3c is A* and still easier than the one you described in the COULD section)
I would contact the school and ask why she is being set this level of work and if it is in line with the Y8 Scheme of Work. Your DD is potentially being put off maths by either ludicrously high expectations, or a teacher who doesn't know what they're doing.
This is one of those things that's fairly straightforward if you know what 'to the power of -3' means and impossible otherwise. After typing that, I showed it to my yr8 DD (at a grammar school and good at maths) - asked her if she'd come across that (no), explained it to her and she said pretty much what I did. If it hadn't been properly explained in class, no way.
I think I got off lightly tonight with DD raging at interior and exterior angles - which she could do once she'd been arsed to look at her textbook to remind herself what to do as an alternative to me confusing her by working it out from first principles. Things like 'if the exterior angle of a polygon is 4 degrees how many sides has it got'
Assuming it was taught properly it isn't really hard. But if you haven't been shown properly it would be pretty nigh impossible to guess/know intuitively.
It wasn't meant as a calculator exercise was it? Then it would be fairly easy.
Basically negative powers invert the number ie(x/ y)^-z = (y/x)^z
Fraction powers are more interesting as it equates to the root. So x^(1/2)= square root of x. and y^(1/3)= cube root of y
If you're interested and can understand what I write... it's much harder to explain in writing to me...
Invert and get rid of the minus sign first: =(16/625)^3/4
You can look at ^3/4 in two stages.
Look at ^ 1/4 first. That means fourth root: (ie if n x n x n x n = N then fourth root of N =n)
So look at (16/625)^1/4
2 x 2 x 2 x 2 =16 so fourth root of 16 is 2
5 x 5 x 5 x 5 =625 so fourth root of 625 is 5
So (16/625)^1/4 = 2/5
Now you need to put that to the power 3.
2^3 = 2 x 2 x 2 =8
5^3 = 5 x 5 x 5 = 125
So (2/5)^ 3 = 8/125
Answer: (625/16) ^ -(3/4) = 8/125
None of the steps are difficult, but if you don't know what it means you're sunk really. If you think the teacher will handle it well then it might be worth writing in her book that she seems to have got a bit confused, could he go through it properly.
I'd suggest you show her how to do it on the calculator. There should be a button on which (probably) you have X^y
If you want to do say (1/2)^ -3 then press:
[1/2] [button X^y] [minus 3] then [equals] should give you the answer.
I just checked DDs yr8 national curriculum textbook. Negative powers are there in the first chapter (evidently her teacher isn't just going through it from start to finish) so - provided it was adequately explained - the 'must' question is yr8- appropriate. I couldn't see anything at all about fractional powers - in fact, there seemed to be various mentions of square roots but I couldn't see anything about cube roots or higher roots. Which suggests the 'could' question is out of line with national curriculum for this age.
I'm glad you COULD stuff is too hard. Thanks for the link NobleGiraffe. It has made my dd feel a bit better. I think I will be going into school to have a chat after half term.
Dewe thanks for the explanation. I had to look up what^ means. I guess it's just a case of learning it then practising it so it somehow sticks.
DD is still doing homework. She's doing over 4 hours every day! It's absolutely crazy. She's so stressed and taking it out on everyone else. It also means I don't dare ask her to do the stuff she's meant to do to earn pocket money. I'm really begining to resent the impact this amount of homework is having on family life. I guess that's a whole other thread.
Thanks again for your help and support on this.
Oh dear god. Am pregnant with DC1 and this thread has given me another thing to worry about. There is no way I could help with this .
Your DD is doing 4 hours HW a night? That's far too much. We've just had a talk about Y8 at school (DS2) and if they're doing more than 1 1/2 to 2 hours per night that's far too much. They've told us to go back to school and tell the SLT if that's the case as that is the school's fault. Your DD can't go on like this. She'll crack up.
answer is 8
but am they expect that a 12 year old must be able to do this
She definitely shouldn't be doing over 4 hours a night! I'd say my DD was averaging 1 - 1.5 tops. Gosh, mine doesn't get home till nearly 5, if she had 4 hours she'd barely have time to eat let alone relax.
Your poor DD - is it the school pushing to hard or is it her nature to be perfectionist or something? Either way, you need to have that talk to the school - good luck with it!
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