Counters Hand spans Popsticks. counters hand spans popsticks. Why did you get different answers for each of the units used?

Transcription

1 Informl units Find the length of tote try using the following informl units. Counters Hnd spns Popsticks counters hnd spns popsticks Why did you get different nswers for ech of the units used? The units re ll different sizes. Find three objects tht you estimte to be less thn 0 counters long. Mesure them nd record their length in counters. Object Length Find someone who mesured one of the sme objects s you. Did you get the sme nswer? Why? How is using counters better thn using hnds or feet? Find n object tht is between hnd spns long nd 5 hnd spns long. 55

2 Mesuring distnce Use Bse 0 ones to mesure the distnce ech nt hs to trvel to the queen nt s chmber. 7 Wht ws the longest distnce trvelled? 7 ones b Wht ws the shortest distnce trvelled? ones Work with prtner. Use Bse 0 longs to mesure the distnce you cn jump. Use your Bse 0 longs to mesure by plcing them endto-end nd counting by 0s. Jump MiB s d r C & 56 My results My prtner s result Strt on both feet together longs longs Tke short run of f longs longs Crouch down nd push of f to strt longs longs

3 Wht s wrong with feet? Mesure nd record the length of these objects using your techer s foot nd your foot. Blckbord Student desk Keybord Your techer s foot feet feet feet Your foot feet feet feet b Compre the results. Did you get the sme nswers for your techer s foot nd your foot? No. Why or why not? Different sized feet. Discuss why it is importnt to hve stndrd unit to mesure length. Mesure nd cut piece of string tht is the sme length s 0 Bse 0 longs. Is your string the sme length s others in your clss? Yes. Why or why not? Ech set of 0 longs is the sme length. Describe wht would hppen if two people worked together to build house nd both used different-sized unit to mesure. 57

4 Wht s metre? Mesure ech object using one-metre length of string. Tick whether the object is less thn metre, bout metre or more thn metre. h l w Length of your desk Height of your desk Width of your desk Less thn metre About metre More thn metre b Length of the bord h l Height of the bord c Length of cupbord h Height of cupbord w l Width of cupbord Nme three objects in the clssroom tht re bout metre long. Look t the objects below. Circle the objects tht re bout metre. Tick the objects tht re less thn metre. Cross the objects tht re more thn metre. 58 MiB Crd 98

5 Hlf metre ction Cut -metre long piece of string. Fold it in hlf. Cut the string t the fold. Ech piece is hlf--metre long. Use your mesure to find nd nme three objects tht re bout hlf--metre long. Find objects or distnces t your school tht re bout the sme s ech of these lengths. Hlf metre is the sme s 50 centimetres. metre b metre c metres d 5 metres e 0 metres If the shortest wll is metre high, how high re the other wlls? metre metre metres metres 59

6 Throwing the distnce Work with prtner. Ech of you throws strw like jvelin. Mesure how fr ech strw went. Record how fr ech strw went in the tble below. You will need metrelong piece of string nd two strws. Closer to hlf metre Closer to metre Me My prtner If two students threw their strws close to one metre, would you know who threw the furthest? Why not? Wht is needed to help your mesurement be more exct? Work with your prtner nd throw the strws gin. Count the number of popsticks needed to mesure ech distnce. You will need some popsticks nd two strws. Number of popsticks Me My prtner Ws it esier to mesure the distnce with smller unit? Why or why not? MiB Crd 97 Why is it diffi cult to ccurtely mesure with popsticks? 60

7 Introducing centimetres How long is ech item in centimetres? centimetres b centimetres c centimetres d centimetres Find, trce nd lbel n object tht is more thn 5 centimetres long but less thn 0 centimetres long When recording mesurements you should record the unit s well s the number. The bbrevition for centimetre is cm. 6

8 Finding re Find the re of your mths book by covering it with: counters. counters squre blocks. squres Answers will vry. popsticks. popsticks Which unit ws the best to mesure with? Why? Think bout the re of the following objects. Drw line to mtch ech object to description of its re. Are is the size of surfce. Are is smller thn my mths book. chlkbord lef bookmrk CD window ticket boogie bord fl ipper MiB Crd 99 Are is lrger thn my mths book. 6

9 Covering re Estimte, then mesure, the number of Bse 0 units needed to cover the picture of ech object. Pper b Crd c Bookmrk d Stmp Item Estimte Actul Pper 5 b Crd c Bookmrk d Stmp 6 Order the pictures bove from smllest re to lrgest re. Smllest Lrgest stmp crd bookmrk pper 6

10 Wht s in letter? Look t ech group of shpes. Circle the shpe with the gretest re. Cross the shpe with the smllest re. b c Mke these letters on geobord or grid pper. Count the squres to find the re of ech letter. 6 squres b squres c 6 squres d Which letter hd the gretest re? E Mke the following letters on geobord. with n re of 8 squres. b with n re of 7 squres. c with n re of squres. Mke your initils on geobord. Find the totl re of your initils. 6

11 Bse re Trce round the bse of ech object on the grid below to find the re of its bse. squres prt squres Answers will vry. b squres prt squres Find n object with bse tht is smller thn the shrpener. Trce its bse. Wht is its re? Explin to friend why it is importnt to count the prt squres s well s the whole squres when mesuring re. 65

12 Are of shpes Look t the shpes nd nswer the questions below. A B C D How mny squres tll is ech shpe? A 5 B C 6 D 5 b How mny squres wide is ech shpe? A B 5 C D Use ddition to find the re of ech shpe. A = 5 squres B = 0 squres C = squres D = 5 squres 66 Which shpe hs the lrger re: shpe squres tll MiB Crd 00 nd squres wide or shpe tht is squres tll nd squres wide? Drw ech shpe to find out. squres tll nd squres wide

13 Ptchwork re Len, Josie nd Mky mde the quilts below. Wht is the re of ech quilt? b 5 squres 6 squres c 8 squres Discuss with friend how you found the totl number of squres for ech quilt. Why does the lrgest quilt hve the lest number of squres? How mny ptches hve been used to crete ech quilt? b ptches 9 ptches If quilt hs rows of 5 ptches, how mny ptches does it hve ltogether? Drw it. 0 ptches MiB Crd 0 67

14 Tking up spce Build ech of the models below using cubes. Record the number of cubes used to build ech model. A B Volume is the mount of spce something tkes up. For exmple, this brick wll tkes up bricks worth of spce. 9 cubes 9 cubes C D E 8 cubes cubes cubes Which model hs the smllest volume? E b Which model hs the lrgest volume? D Rji mde the model below with volume of 0 cubes. Build different model with volume of 0 cubes. Compre your model with friend s. How re they the sme? How re they different? MiB Crd 0 68

15 Spce tken up Circle the object in ech pir tht hs the lrger volume. b c d Towels of the sme size hve been netly pcked on the shelves ccording to their colour. Which group of coloured towels is tking up the most spce? Green b Which group of coloured towels is tking up the lest spce? Red c How much more spce re the purple towels tking up thn the pink towels? How could you plce the towels towels on the 9 shelves so tht ech shelf hs the sme volume of towels? 69

16 Filling continers Count the number of Bse 0 longs needed to fill shoebox by dumping nd then by lyering. Dumping Lyering To dump: Plce hndfuls of longs into the shoebox without tking cre. To lyer: Netly plce the longs in the shoebox. Cover the bse before covering the remining lyers in the sme wy. Dumping: The shoe box hs cpcity of b Lyering: The shoe box hs cpcity of longs. longs. c Which wy is best for mesuring cpcity? Why? Lyering; it fills the box up with no gps or overflow Mesure the cpcity of these continers using lyers of Bse 0 longs. Mrgrine Answers will vry. LUNCH!! There re ech lyer. longs in b There re ech lyer. longs in There re lyers. There re lyers. 70 MiB Crd 09 lyers of is longs. is lyers of longs.

17 Mesuring with cups Use cups of snd or rice to estimte the cpcity of ech continer. Then mesure the ctul cpcity of ech continer. Mug Continer Estimte Actul mesurement Bucket Milk crton Use tlly mrks to show the number of cups of wter needed to fill ech continer. Ice-crem continer Tote try Bucket Tlly mrks Totl b Wht would hppen if the full bucket of wter ws poured into the empty tote try? All of the wter would fit. Wht would hppen if the full bucket of wter ws poured into the empty ice-crem continer? It would overflow. Explin your predictions for Question. MiB Crds 0, 08 7

18 Displcement Follow these instructions on how to use wter level to show volume: Displcement: When n object is plced into wter it dds its own spce (volume) nd the wter rises. Choose lrge cler continer. Hlf fill the continer with wter. Mrk the wter level. Plce 5 mrbles into the wter. Mrk the new wter level. Why do you think the wter level hs chnged? The mrbles tke up spce tht used to contin wter. b Wht will hppen to the wter level if you put in 0 mrbles? It will rise Check your nswer by doing it. Using the bove procedure, circle the set of objects in ech pir tht hs the lrger volume. rock bll plydough b mrbles bolts c golf bll mrbles d stones 6 nuts 7 Estimte nd mrk the level of wter needed in cler continer so tht when lrge rock is plced in it, the wter rises to the rim exctly.

19 Filled to cpcity Fill the following continers with wter, nd colour the boxes to show the number of ech tht re needed to fill L milk continer. Which continer hd the smllest cpcity? Egg cup How do you know? It tkes the gretest number of times to fill L milk continer. Which continer hd the lrgest cpcity? Bowl How do you know? It tkes the lest number of times to fill L milk continer. Plce the objects bove in order from smllest to lrgest cpcity. Drw ech object in the boxes. Smllest Lrgest MiB Crds 0, 05 7

20 Compring units Use n equl rm blnce to mesure the mss of n empty pencil tin using beds, blocks, counters nd Bse 0 longs. If 0 beds blnced the pencil tin, colour 0 rectngles on the grph. How mny of ech unit blnced the pencil tin? beds counters blocks Bse 0 longs b c Which unit did you need the most of? Which unit did you need the lest of? d How mny more counters did you need thn longs? Why did you need more counters thn longs? Counters weigh less thn longs. Wht is the disdvntge of mesuring with different units? You cn combine them in different wys, so it s hrd to get single nswer. 7

21 Compring mss Find the objects tht re pictured. Use n equl rm blnce to mesure the mss of ech object using Bse 0 longs. longs longs longs longs longs longs Use the results to complete these sttements. The pencil cse is longs hevier thn the. b The mouse is longs lighter thn the. c The stpler is longs hevier thn the. d The is longs lighter thn the. e The cup nd the book together re longs hevier thn the mouse. MiB Crd 75

22 Conserving mss Using set of scles, mesure the mss of n ornge by counting the number of counters needed to blnce the ornge. counters blnce the ornge. Cut the ornge in hlf nd plce the hlves bck on one side of the scles. Do the sme number of counters blnce the ornge now tht it is cut in hlf? Yes. Why do you think this hppens? Two hlves hve the sme mss s the whole. Mesure the mss of these objects using counters. counters counters Do the sme number of counters still blnce the front pge of newspper? Answers will vry. Yes Answers will vry. b counters counters Do the sme number of counters still blnce the pperclips nd box? Yes Mke bll of plsticine tht hs mss of 5 longs. Mould the plsticine into different shpe nd mesure its mss gin. Wht hppens? 76

23 Mss of collections Use n equl rm blnce to find which collection is hevier. Circle the hevier collection in ech pir. Wht needs to hppen to this pir to mke them blnce? nuts or 8 pegs? b 8 pper clips or mrbles? c rocks or pencils? d strws or mrble? Mesure nd write the number of mrbles needed to blnce ech collection. nuts hve the sme mss s mrbles. b rocks hve the sme mss s mrbles. c 8 pegs hve the sme mss s mrbles. 77

24 Fruity blncing Jne used pples nd n equl rm blnce to compre the mss of pinepple, mngo nd wtermelon. Look t the results to complete the sttements. The pinepple is the sme mss s 5 pples. b The wter melon is the sme mss s 9 pples. c Which fruit is the heviest? d Which fruit is the lightest? Wtermelon Mngo The pinepple is pples hevier thn the mngo. b The pinepple is pples lighter thn the wter melon. c The difference in mss between the heviest fruit nd the lightest fruit is 6 pples. d Two pinepples would blnce 0 pples. Use the informtion bove to work out the number of mngoes needed to blnce wtermelon on the scles. How did you work this out? 78

25 The sesons Write the missing months for ech seson. November August September July October September November spring December summer There re sesons in ech yer. Winter is the coldest seson, nd summer is the hottest. Jnury Februry Februry August winter utumn Mrch April July April Mrch June My Jnury Colour the months of the hottest seson ornge. Colour the months of the coldest seson blue. Colour the months of the getting wr mer seson yellow. Colour the months of the getting cooler seson green. In which seson is the: 6th month? Winter th month? Wht would you be wering during the: Spring Remember: Jnury is the st month of the yer. nd month? Light clothes 8th month? Wrm clothes Which seson hs the most dys? MiB Crds 5, 6, 7, 8, 9 79

26 Reding clendr Which months hve 0 dys? September April June November b Which months hve dys? Jnury Mrch My July August December October c Which month hs less thn 0 dys? Februry Look t the clendr nd write the dy for ech dte. st Jnury c th Mrch e st November Sundy Sturdy Thursdy f The first dy of spring Sturdy Circle these dtes on the clendr. b 8th Februry d The lst dy of the yer Wednesdy Mondy c Lst Fridy in October First Sundy of summer b Second Tuesdy in June d Your birthdy 80 e Austrli Dy

27 All in month Fill out the missing prts on this month s clendr pge. Title of month b Dys of the week Wht is tody s dy nd dte? b Plce tody s dte in the correct plces bove nd colour it in red. c Add the rest of the dtes in the correct plces on the clendr. How mny dys from tody is it until: the weekend? b librry dy? c the end of the month? 8

28 Looking t clocks Colour the hour hnd blue. Colour the minute hnd red. o clock qurter-to qurter-pst hlf-pst Mtch the clocks with the correct lbel o clock hlf-pst qurter-to 7 qurter-pst Wht number on the clock would the minute hnd be pointing to if it ws: o clock? b hlf-pst? 6 c qurter-pst? d qurter-to? 9 8

29 Hlf-pst Colour two wys to sy the time shown on ech clock. b c Hlf-pst pst 6 7 thirty 6 pst Hlf-pst 6 thirty Four thirty Thirty minutes pst 6 pst 7 o clock Hlf-pst 0 Hlf-pst 7 George s clocks hve lost their minute hnds. He cn still red the time using the hour hnd. The hour hnd is hlfwy between nd, so it s hlf-pst. Write the time for ech clock. Hlf-pst 9 b Hlf-pst c Hlf-pst 5 d Hlf-pst 8

30 All in dy Complete the times on the timeline. Mtch ech event to plce on the timeline. 7:00 8:00 9:00 6:00 0 : 00 : :00 :00 : : 00 :00 5:00 6:00 Drw picture of n event tht could hppen t 6 o clock. 8 MiB Crd Crete timeline for your own dy from 7 o clock in the morning till 6 o clock t night.

31 Wht s the time? Mtch the digitl times to n nlog clock Complete the missing times MiB Crds, 85

32 One hour fter Write the time tht is one hour fter the time shown o clock 8 o clock Hlf-pst Hlf-pst Drw hour nd minute hnds to show one hour fter the time written under the clocks o clock 0 o clock Hlf-pst 6 Hlf-pst 8 Solve these time problems Ros hd n ppointment to see the doctor t o clock, but the doctor ws running n hour lte. Wht time did she see the doctor? o clock b Dnte finished school t :0. It took him n hour to wlk home. Wht time did he rrive home? : 0 c Kih took one hour to do her homework. She strted it t o clock. Wht time did she finish her homework? 5 o clock 86 d Velko te his dinner one hour fter getting home from work. He rrived home t hlf-pst 5. Wht time did he et? hlf pst six