Student Book SERIES. Fractions. Name

Transcription

1 D Student Book Nme

2 Series D Contents Topic Introducing frctions (pp. ) modelling frctions frctions of collection compring nd ordering frctions frction ingo pply Dte completed / / / / / / / / Topic Types of frctions (pp. ) fifths nd tenths equivlent frctions tenths s decimls introducing hundredths hundredths s decimls 00 hundredths pply / / / / / / / / / / / / Series Author: Nicol Herringer Copyright

3 Introducing frctions modelling frctions Here we re going to explore frctions. You will need: copy of this pge scissors pper g coloured pencils (lue, red, yellow nd ornge) copy Instructions: Colour this strip lue. Cut it out. Lel it whole. Colour this strip red. Cut it out. Fold it in hlf long the line nd lel ech prt. c Colour this strip yellow. Cut it out. Fold it in hlf nd hlf gin long the lines nd lel ech prt. d Colour this strip ornge. Cut it out. Fold it in hlf three times nd lel ech prt. e Cut them crefully long the folded lines nd plce the pieces inside your pper g. This is your frction kit! Copyright P Lerning D

4 Introducing frctions modelling frctions You will need: your frction kit Numer on die or or or die Frction piece from kit red yellow ornge copy Gme The im of this gme is get s close to one whole s possile y plcing pieces from your frction kit on top of the whole. Ech plyer strts the gme with the lue piece of pper from the kit. This is whole. Plyer rolls the die nd plces mtching frction piece on their whole. Plyer rolls the die nd plces mtching frction piece on their whole. Continue tking turns plcing frction pieces on top of the whole. The winner is the plyer who is the closest to one whole without going over. Gme The im of this gme is to e the first to revel the whole piece of pper from your frction kit. Ech plyer strts the gme with the whole covered with hlves. Plyer rolls the die nd tkes off tht frction. Plyers my need to swp pieces first. For exmple, if you roll first, you need to swp for then you cn tke off. Plyer rolls the die nd tkes off tht frction, swpping pieces if needed. The winner is the plyer who is the first to revel the whole piece of pper. D Copyright P Lerning

5 Introducing frctions modelling frctions Show one hlf in different wy on ech rectngle: c Show how ech shpe cn e divided into qurters: c Colour the frctions of ech shpe: two qurters three qurters c one hlf d three qurters Answer these shring prolems. Drw picture to mtch: I hve 0 lollies nd I hve to shre them with my rother. How mny do we ech get? out of There re iscuits to e shred mong people. How mny does ech person get? out of Copyright P Lerning D

6 Introducing frctions modelling frctions re written like this: The numer on the top is the numertor nd shows the numer of prts. The numer on the ottom is the denomintor nd shows the numer of prts in the whole. Look t these frction digrms nd lel them. out of out of c out of d out of e out of f out of Shre this chocolte r mong kids: Drw lines to show how you will rek it. How mny pieces will ech kid get? c Show this s frction. D Copyright P Lerning

7 Introducing frctions frctions of collection cn show prt of collection. out of lollies re circled. Wht frction of ech group is circled? out of out of c out of d out of Circle the frction shown: out of out of c out of 9 d out of 9 Copyright P Lerning D

8 Introducing frctions frctions of collection Finding frction of different mounts is like division. Look t this try of ice crems. We cn see tht of this group is. This is the sme s dividing y. = of = Look t these frction pictures. They hve een divided into groups to help you. Complete the oxes to show how division nd frctions re relted. The first one hs een done for you. = of = = of = c = of = Find of these mounts: of = Divide them into groups. D Copyright P Lerning

9 Introducing frctions frctions of collection Shde the frction of these mounts: of = of = Find these mounts. Use counters to help you. How mny sweets did I get if I ws llowed of? sweets of ll the kids in my clss hve pet dog. How mny hve dog if there re 0 kids in my clss? kids c of ll the kids in my clss te n pple t recess. How mny pples were eten if there were 0 kids in my clss? pples 7 Jckson loves to ke cookies. He is fmous for his triple choc chip delights. Work out how mny ech person received if Jckson ked tch of triple choc chip delights. His est friend Hmish got. Hmish got triple choc chip delights. He gve wy to the techers in the stff room. The techers got triple choc chip delights. c He gve the rest to his next door neighour Mr Wllis. Mr Wllis got triple choc chip delights. Copyright P Lerning D 7

10 Introducing frctions compring nd ordering frctions This frction wll is just like your frction strips lid out side y side. whole hlves qurters eighths Lel the following frctions: c d e Wht do you notice with the frctions shown in nd d? Use the frction wll t the top of this pge to decide which frction is lrger nd circle it: or or c or d or e or f or Put these frctions in order from smllest to lrgest:,,, 7 7,,, D Copyright P Lerning

11 Introducing frctions compring nd ordering frctions Ech plyer will need: to cut out the frction crds elow This is gme for plyers. Choose one plyer to e the deler. Ech plyer cuts out their own set of frction crds. The deler shuffles the crds well nd plces them in one stck in the centre. Plyer drws crds, one t time nd plces them from left to right in ech ox, from smllest to lrgest. If they re in the correct order, the plyer scores points. If they re not in the correct order, they do not score ny points. Plyer then hs their turn. The winner is the plyer with the lrgest score fter turns ech. copy 7 Smllest to lrgest Plyer Plyer You cn use the frction wll on pge to help you see if the frctions re in the right order. Totl Copyright P Lerning D 9

12 Introducing frctions compring nd ordering frctions Let us now look t plcing frctions on numer lines. hlves 0 qurters 0 eighths 0 7 Lel the missing frctions on these numer lines: 0 0 c Wht do you notice out nd? Lel this numer line with qurters ove the line nd eighths elow the line: Drw line to mtch ech of these frctions to the correct positions on the numer line. Use the numer lines t the top of the pge to help you D Copyright P Lerning

13 Frction ingo pply Getting redy This is gme for to plyers. Ech plyer will need the frction ord elow nd some counters. You will lso need to cut out one copy of the flsh crds on pge. copy Wht to do Choose one plyer to e the cller. The rest of the plyers fill their frction ords with ny of the following frctions:,,,,,,,,,,, 7, The cller chooses flsh crd from the pile nd shows the plyers. If plyer hs the frction, they plce counter over it. The winner is the first plyer to cover in row. Swp roles nd ply gin until everyone in the group hs een the cller. Copyright P Lerning D

14 Frction ingo pply copy D Copyright P Lerning

15 Types of frctions fifths nd tenths These frction strips show fifths nd tenths Lel these frctions: c Show fifths nd tenths on these shpes: 0 c d 0 e 0 0 f 0 Circle the correct mounts shown in these frctions: 0 Copyright P Lerning D

16 Types of frctions fifths nd tenths Complete this equivlent frction numer line. The first two hve een done for you. Equivlent mens they re the sme mount Plce these frctions on the numer line:,, 0, 7 0, 0 Colour these shpes ccording to the directions. The equivlent frction line ove will help you. Colour lue nd 0 the rest lnk. red nd leve Colour 0 ornge nd leve the rest lnk. green nd c Colour lue nd 0 the rest lnk. red nd leve If shpe is divided into fifths I need to chnge the frctions to fifths. If shpe is divided into tenths I need to chnge the frctions to tenths. D Copyright P Lerning

17 Types of frctions equivlent frctions This frction wll shows frctions tht re equivlent. Equivlent frctions re frctions tht re the sme mount. How mny equivlent frctions cn you find? Lel ech row of the frction wll nd colour ech strip different colour. The first one hs een done for you. whole hlves Mtch the equivlent frctions in the top row with the frctions underneth y drwing line to connect them. The first one hs een done for you. 0 0 Complete these equivlent frction models y shding nd writing the equivlent frction: c 0 d Copyright P Lerning D

18 Types of frctions equivlent frctions Rewrite these frctions in order from smllest to lrgest: Here is frction wll tht hs een roken up into pieces. Lel the pieces: c d Mtch the equivlent frctions to find out n interesting niml fct: Q: Wht is something tht rt cn do for longer thn cmel? First word: A = T = L = S = 0 Second word: U = H = 0 I = 0 W = T = O = Third word: A = 0 T = E = R = 0 W = D Copyright P Lerning

19 Types of frctions tenths s decimls cn e written s decimls. This row of multilink cues shows 0 tenths: 0 cn e shown like this: Units Tenths 0 s deciml is 0. 0 The deciml point seprtes the whole numer from the deciml. We would write or 0 0 s.0 Complete this numer line showing equivlent tenths nd decimls: If row of 0 multilink cues is whole, then lel the other rows with frction nd deciml: Frction Deciml c Copyright P Lerning D 7

20 Types of frctions introducing hundredths We cn divide whole into one hundred prts. These re clled hundredths. This hundred grid shows out of 00. As frction it is 00 = whole 00 hundredths Write wht ech grid shows prt out of 00 tht is shded nd record it s frction: out of out of c out of Shde these grids ccording to the frction: It is esier to work out how mny grids not to shde insted of counting ech one. c 7 00 d 9 00 Order the frctions from question from smllest to lrgest: D Copyright P Lerning

21 Types of frctions hundredths s decimls This digrm shows hundredths shded or 00 cn e written s decimls. As deciml, this mount is written s: Units Tenths Hundredths 0 Lel ech hundredth grid picture with the frction nd deciml: 0 is the sme 00 s 0 which is the sme s 0. Colour this grid of strs ccording to the directions elow: Ornge Blue c Green d Pink e Yellow 0. f Red 0.7 Copyright P Lerning D 9

22 00 hundredths pply Getting redy This is gme for plyers. Ech plyer will need copy of this pge nd copy of the plying crds on pge. copy Wht to do The oject of this gme is to e the first plyer to colour whole grid. Ech plyer cuts out the plying crds. The plyers join the crds nd shuffle them. There will e crds. Ly crds out in row, ensuring oth plyers cn see them. The rest of the crds go fce down in pile. Plyer tkes crd from the row of nd colours in tht mount on one of their hundred grids. Then they put tht crd t the ottom of the pile nd replce the crd with one from the top of the pile. Plyer repets this process. Plyers tke turns until plyer hs filled in 00 hundredths or whole. (If you go over 00 hundredths or whole, it does not count s win. You must rech exctly whole.) 0 D Copyright P Lerning

23 00 hundredths pply copy is the sme 00 s 0 which is the sme s Copyright P Lerning D