Year 8 - SOW Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8. Challenge: Pi 3 Unit 1 Expressions and equations

Transcription

1 Ya 8 - SOW Wk 1 Wk 2 Wk 3 Wk 4 Wk 5 Wk 6 Wk 7 Wk 8 Nb popis and calclaions Shaps and ass in 3D Half T 1 Challng: Pi 3 Uni 1 Saisics Expssions and qaions Half T 2 Rvision Dcial calclaions Angls Half T 3 Nb popis Half T 4 Rvision Sqncs Facions and pcnags Half T 5 Pobabiliy Rvision Ppaaion fo nx acadic ya Half T 6 Challng: Pi 3 Uni 9

2 KS3 Mahs Pogss YR 8 Sch of Wok Pi 1 Sch of Wok T Uni Taching hos 2018 Poga of Sdy Uni dscipion 1 Analysing and displaying daa 11 dscib, inp and copa obsvd disibions of a singl vaiabl hogh: appopia ass of cnal ndncy (an, od, dian) Us a calclao ffcivly Rpsn and inp daa in abls, chas and diagas consc and inp fqncy abls Exac daa and inp disc ba chas consc and inp ba chas Consc on pap, and sing ICT sipl ba gaphs and ba-lin gaphs consc and inp vical lin (o ba) chas fo ngopd daa Find 'os coon' fo a s of disc daa o gopd ba cha Exac daa and inp fqncy abls Consc on pap, and sing ICT, fqncy diagas fo gopd disc daa Collc daa fo a sipl xpin and cod in a sipl fqncy abl A n 2 Calclaing 12 ndsand and s plac val fo ings od posiiv and ngaiv ings s h sybols =,, <, >,, s h fo opaions, inclding foal win hods, wih posiiv and ngaiv ings s ing pows and associad al oos (sqa, cb and high) s a calclao and oh chnologis o calcla sls accaly and hn inp h appopialy Exac daa, inp and daw conclsions fo lin gaphs Find h od fo any ba cha Find h odal class fo a sall s of gopd disc daa Find h od and ang of a s of daa. Calcla h dian of a s of daa Copa wo sipl disibions sing h ang, od and dian Calcla h an fo a sall s of disc daa Daw conclsions fo sipl saisics fo a singl disibion Undsand and apply h od in sipl calclaions (no backs) Apply h pincipls of h coaiv, disibiv and associaiv laws wih nbs Add and sbac sval nbs, looking fo sagis Solv sipl pobls sing idas of aio and popoion ('on fo vy and on in vy... ) Dvlop calclao skills involving ngaiv nb inp, sign chang, sqas and sqa oo kys Consolida h apid call of addiion and sbacion facs and posiiv ing coplns o 100 Us sandad coln pocds o add and sbac whol nbs Rcognis and xnd nb sqncs fod by coning on o coning back Appoxia bfo caying o an addiion o sbacion. Rond posiiv whol nbs o h nas 10 Consolida h apid call of liplicaion facs o Know sqa nbs, 1 1 p o Chck a sl by considing if i is of h igh od of agnid Mliply and divid ings by 10 and 100 and 1000 and xplain h ffc Divid a qaniy ino wo pas in a givn aio wh aio is givn in wodd fo Od posiiv and ngaiv ings in conx; show posiions on nb lins 3 Expssions, fncions and fola 11 Half- s s and inp algbaic noaion: 3y in plac of y + y + y and 3 y sbsi nical vals ino fola and xpssions, inclding scinific fola ndsand and s h concps and vocablay of xpssions, qaions, inqaliis, s and facos Find ops of sipl fncions xpssd in wods Find ops of sipl fncions in wods and sybols Dscib sipl fncions in wods Find ops of o coplx fncions xpssd in wods Siplify sipl lina algbaic xpssions by collcing lik s Consc xpssions fo wodd dscipion, sing addiion and sbacion Consc xpssions fo wodd dscipion, sing addiion, sbacion and liplicaion Sbsi posiiv ings ino sipl fola xpssd in wods Sbsi ings ino sipl fola xpssd in l sybols Idnify vaiabls and s l sybols Idnify h nknowns in a fola and a fncion Undsand h diffnc bwn an xpssion and a fola and h aning of h ky vocablay ''

3 4 Gaphs 8 wok wih coodinas in all fo qadans Div sipl fola xpssd in l sybols Inp infoaion fo a sipl al lif gaph, g pa (inclding Rad x and y coodina in h fis qadan Plo a co-odina in h fis qadan Know and ndsand convnions and noaion sd fo 2-D co-odinas in h fis qadan Rad x and y co-odina in all fo qadans Gna fis qadan co-odinas ha saisfy a sipl lina l; plo hs 5 Facos and lipls 11 End of s s h concps and vocablay of pi nbs s h concps and vocablay of facos (o divisos) s h concps and vocablay of lipls s h concps and vocablay of coon facos s h concps and vocablay of coon lipls s h concps and vocablay of highs coon faco s h concps and vocablay of lows coon lipl s convnional noaion fo h pioiy of opaions, inclding backs, pows, oos and cipocals s appoxiaion hogh onding o sia answs s a calclao and oh chnologis o calcla sls accaly and hn inp h appopialy Know and s h od of opaions (fo ls, no pows o backs) Dvlop calclao skills involving h s of cla kys and all opaion kys Rcognis lipls of 2, 5, and 10 and 25 Exnd win hods o HTU U Undsand liplicaion as i applis o whol nbs and know how o s associaiv, coaivi and disibiv laws. Apply sipl ss of divisibiliy (2, 9, 10, 5) Exnd win hods o HTU U Idnify a las 2 facos of 2 digi nbs wih 3 o 4 facos Rond p o down af division, dpnding on conx Rcognis and s lipls and facos Apply sipl ss of divisibiliy (3, 6, 4) Find coon facos and pis Idnify nbs wih xacly 2 facos (pis) Rcognis and s coon faco, highs coon faco and lows coon lipl Apply sipl ss of divisibiliy (3, 6, 9, 4)

4 S p i n g 6 Dcials and ass 12 ndsand and s plac val fo dcials ndsand and s plac val fo ass od dcials and facions s h fo opaions, inclding foal win hods, wih posiiv and ngaiv dcials ond nbs and ass o an appopia dg of accacy [fo xapl, o a nb of dcial placs o significan figs] s appoxiaion hogh onding o sia answs Choos siabl nis o sia o as lngh, ass and capaciy Rcod adings and sias fo scals o a siabl dg of accacy Rad and inp scals on a ang of asing insns Daw and as lins o h nas illi (in ) Us dcial noaion fo nhs and hnddhs Rcognis h laionship bwn hnddhs and nhs Know wha ach digi psns in nbs wih p o wo dcial placs Rad and wi whol nbs in figs and wods Od dcials (inclding in conx of ass) Undsand and s dcial noaion and plac val Rad and inp scals involving dcials Copa dcials in diffn conxs Od ic nis of asn (.g. 1, 1 c, 1, 1 k o qivaln) Conv bwn lag and sall whol nb ic nis Rcognis and xnd nb sqncs by coning in dcials. Us sandad coln pocds o add and sbac dcials wih p o wo placs Consolida and xnd nal hods of calclaion o incld dcials 7 Angls and lins 10 8 Masing and shaps 11 Half- s dscib, skch and daw sing convnional s and noaions: poins, lins, paalll lins, ppndicla lins, igh angls, gla polygons, and oh polygons ha a flcivly and oaionally syic s h sandad convnions fo lablling h sids and angls of iangl ABC apply h popis of angls a a poin apply h popis angls a a poin on a saigh lin End of s calcla and solv pobls involving coposi shaps daw and as lin sgns and angls in goic figs div and illsa popis of iangls, qadilaals, cicls, and oh plan figs [fo xapl, qal lnghs and angls] sing appopia langag and chnologis Rond posiiv whol nbs o h nas 10, 100 o 1000 Rond dcials o on dcial plac o o h nas whol nb En and inp nbs on a calclao in diffn conxs (dcials and ony) En ony aons on calclao Rond dcials o wo dcial placs in conx of ony only Idnify igh angls and paalll lins Know and s lf and igh, aniclockwis and clockwis Dscib angls as facions of fll ns 1/4, 1/2, 3/4 Know and s copass poins and 90, 180, 270 Idnify ppndicla lins Disingish bwn ac and obs angls Us a poaco o as ac angls o h nas dg Us coc noaion fo lablling lins and angls Disingish bwn ac, obs and flx angls Us a poaco o as obs angls o h nas dg Bgin o sia h siz of angls Us a poaco o daw ac angls o h nas dg Know h s of angls on a saigh lin Know h s of angls a ond a poin Choos siabl ic nis o sia aa Us nis of asn o sia and solv pobls in vyday conxs involving lngh, aa Know nas of gla polygons Classify iangls (isoscls, qilaal, scaln) sing qal sids. Classify iangls (isoscls, qilaal, scaln) sing qal angls Classify iangls (isoscls, qilaal, scaln) sing lins of syy Rcognis popis of sqas and cangls Undsand and as pis of cangls and gla polygons Calcla pis of cangls and gla polygons Find h pi of a sqa/cangl by coning Calcla h pi and aa of shaps ad fo cangls Us h fola o calcla h aa of a sqa/cangl Idnify sipl angl, sid and syy popis of iangls Rcognis and visalis h syy of a 2D shap lin syy and oaion syy

5 S 9 Facions, dcials and pcnags 11 od dcials and facions dfin pcnag as nb of pas p hndd Dscib flcion syy of any iangl o qadilaal Dscib lin syy popis of gla polygons Solv sipl goical pobls sing popis of iangls Find h asn of a sid givn h pi of sqas and cangls Od facions wih coon dnoinaos o ni facions sing diagas Us facion noaion o dscib pas of shaps. Rcognis whn wo facions a qivaln wih a diaga Cancl a facion down o is sipls fo Chang an ipop facion o a ixd nb Find sipl facions of whol nb qaniis Rla facions o division Consolda and xnd nal hods of calclaion o incld facions Consolida and xnd nal hods of calclaion o incld facions. (Adding and sbacing facions wih coon dnoinaos) Undsand a pcnag as h nb of pas p 100 Conv a pcnag o a nb of hnddhs o nhs Rcognis h qivalnc of facions, dcials and pcnags Find sipl pcnags of whol nb qaniis 10 Tansfoaions 8 Half- s know and s h ciia fo congnc of iangls idnify popis of, and dscib h sls of: anslaions idnify popis of, and dscib h sls of: oaions idnify popis of, and dscib h sls of: flcions End of s End of ya s Rcognis wh a shap will b af a flcion Rcognis and visalis flcion in a io lin Undsand and s langag associad wih flcion Rcognis wh a shap will b af a anslaion Undsand and s langag associad wih anslaions Rcognis and visalis h ansfoaion of a 2D shap; anslaion Visalis wh a shap will b af a oaion Undsand oaions sing facion of n, and clockwis aniclockwis. Know and ndsand h congn Bgin o ndsand ha in congn shaps, cosponding sids and angls a qal