A Level Mathematics Transition Work. Summer 2018

Transcription

1 A Level Mthetics Trsitio Work Suer 08

2 A Level Mthetics Trsitio A level thetics uses y of the skills you developed t GCSE. The big differece is tht you will be expected to recogise where you use these skills d pply the quickly d efficietly. Your success t A level Mthetics will deped o how willig you re to iti d perfect these skills. I order to get off to good strt you eed to be prepred. This booklet will help you get redy for yer A Level Mthetics. Red through the dvice t the strt d the ed of the holidys d swer ll of the questios to the best of your bility. You will eed to hd i your swers i the first lesso i Septeber. Aswer o lied pper. This work is copulsory for ll studets. A set of MyMths refereces is provided to help you with this work. Skills for success Be orgised keep your otes d work i clerly lbelled folders. Mke sure you kow where everythig is d tht you c fid it esily. Mke sure your otes re cler d detiled ot everythig of use will be writte o the bord. Liste crefully to wht the techer sys d ote dow y useful hits d tips. Your techer will odel the best wy to pproch probles or pply skills so you eed to ke sure your otes clerly show wht they were doig. Re-write out y otes tht re scruffy or ot cler. Aotte y hdouts tht you re give. Red through your otes to check you hve everythig you eed d, if ot, tlk to your techer bout wht you thik is issig. Be precise with your ottio you will probbly hve developed soe bd presettio hbits t GCSE level. Look t the wy the techer odels ech techique d try to do thigs i the se wy. Oe differece betwee AS level d GCSE is tht the wy thigs re set out becoes fr ore iportt. Be ccurte with your swers AS level questios ofte hve severl joied prts where oe swer feeds ito the ext. You will eed to be ccurte so tht your swers ke sese. Feedig wrog swer i to clcultio ofte results i soethig fr ore difficult to work out. Ler the quick checks tht your techer uses to test the ccurcy of clcultios. Pl your tie effectively You will be tught uber of ew skills. You will ot becoe fluet i these uless you prctise the. It is ot eough to just uderstd wht the techer is tellig you bout techique, you ust prctise it to becoe cofidet i it. This is true of ll skills bsed subjects. Mke sure you hve the tie to do ll of the hoework set for the dedlie you re give.

3 Be prepred to chge the wy you do thigs GCSE ethods re ot lwys the quickest or ost efficiet wy of doig thigs. Skills you previously lered for GCSE ofte eed to be refied. Try ot to stubborly stick to the GCSE wy of doig thigs. Get help fro s y plces s possible it is vitlly iportt tht you uderstd the work s you go log. Be hoest with yourself whe you do t uderstd soethig d seek help. You c get soe help fro your peers, the text book or your techer. The iportt thig is ot to llow techique or skill to pss by without uderstdig it. Ler these before strtig work Idices Lws of idices Surds 0 b b b b Qudrtic Equtios For x bx c 0 b b c x this is kow s the qudrtic forul Trsitio exercises. Collectig like ters: Siplify the followig expressios ) x x 5x 7x x b) x x x x 6x x c) b b b x 6xy x xy 6y 8y

4 . Idices Evlute (i.e. work out) ) b) 5 c) f) 9. Lws of Idices Siplify the followig expressios ) 7 7 b) 5 6 c) x 5 x f) p q h) g) x y z 6x 9 xy z yz. Chgig the subject of forul Mke the vrible show i brckets the subject ) v u t b) s u vt v h c) A r rh x x y x 5. Expdig brckets Multiply out d siplify ) 6(x ) b) x ( x 5) c) xy (x 5y) 5y( x) x( y) ( x 7)( x 7) f) ( x )( x 5) g) ( x y)( y) h) ( b)(5b ) 6. Fctorisig expressios Fctorise fully ) 7x b) b b c) 7 y x y x 0xy 6x 5x

5 7. Fctorisig qudrtic expressios Fctorise ) x 9x 0 b) x x 5 c) y y x x f) x 5xy y g) x 9 h) 8. Solvig qudrtic equtios Solve the followig equtios x 5 i) 6x 9 y ) x 5x 5 0 b) t t 0 0 c) x x x x 0 f) 6 x x 9. Solvig qudrtic equtios Solve the followig equtios givig your swer i surd for ) x x 0 0 b) t 9t 0 c) x 7x 0. Surds Write the followig i the for b ) b) 0 c) f) 7 6 g) Surds Write ech of the followig s sigle surd i its siplest for ) b) c) 7. Solvig Siulteous equtios Solve ech of the followig pirs of siulteous equtios ) x y x y b) x y 0 5x y c) x y 7 x y 8x y 5 6x 8y 5

6 . Solvig Siulteous equtios Solve ech of the followig pirs of siulteous equtios ) y x y x x 6 b) y x y(5 x) 0 MyMths Refereces Usere: Ashby Pssword: chord The followig MyMths pths will help you prepre for your AS level course Idices Fctorisig Nuber Powers d Itegers Idices prt Nuber Powers d Itegers Idices prt Algebr Use of Sybols Siplifyig Algebr Use of Sybols Fctorise lier equtios Algebr Use of Sybols Ccellig Algebric frctios Algebric Frctios Algebr Use of Sybols Addig Algebric Frctios Algebr Use of Sybols Multiplyig Algebric Frctios Chgig the subject of forul Algebr Forule Rerrgig Algebr Forule Rerrgig Algebr Qudrtics Qudrtic Equtios Qudrtic Equtios Algebr Qudrtics Qudrtic Forul Algebr Qudrtics Copletig the Squre Siulteous Equtios Algebr Siulteous Equtios Siulteous Equtios Algebr Siulteous Equtios Siulteous Equtios Algebr Siulteous Equtios Qudrtic Siulteous Equtios 6