Length, Perimeter and Area

Transcription

1 Length, Perimeter n Are Teher Book - Series Mthletis Instnt Workooks Copyright

2 Length, Perimeter n Are - Series Contents Setion Answers (p. ) units of length trvelling fr perimeter re Setion Assessment with nswers (p. ) units of length trvelling fr perimeter re Setion Outomes (p. ) Plese note: These pges hve een esigne to print to shrink to printle re s this is ommon efult setting on mny omputers. There my e minor isrepnies with mesurements s iniviul printers n photoopiers print to slightly ifferent proportions. Copyright

3 Units of length m, m, mm These units of mesurement re use regulrly in everyy life. 0 mm = m 00 m = m 000 m = km It mkes sense to sy metres inste of 00 entimetres. Complete the mesure of eh item elow y ing either mm, m or m next to the numer: 0 m mm m e f m m 8 mm Estimte then mesure these lengths. Whih unit will you use? Answers will vry. Ojet Estimte Mesure Height of esk Shouler to the fingertips With of the oor Hn spn Penil shrpener With of fingernil A pper length KS78 Length, Perimeter n Are

4 Units of length m, m, mm This onversion ox n help you onvert units of length m m 00 0 mm To onvert from m to mm, multiply y 0. To onvert from m to mm, ivie y 0. Convert these lengths to millimetres: 0 m m = 50 mm m = 0 mm 9 m = 90 mm 7 m = 70 mm e m = 0 mm f 5 m = 50 mm Convert these lengths to entimetres: 50 mm = 5 m 0 mm = m mm =. m 5 mm =.5 m e 56 mm = 5.6 m f 95 mm = 9.5 m 5 Convert these lengths to metres: 00 m = m 500 m = 5 m 50 m =.5 m 900 m = 9 m e 000 m = 0 m f 550 m = 5.5 m 6 Convert these lengths to metres: To onvert from mm to m, ivie y mm = m mm 5 m 500 mm =.5 m 500 mm = 0.5 m BU Length, Perimeter n Are

5 Units of length - fin n orer length Look refully t how eh retngle is ivie n fin the missing length. m 0 m 70 m m 50 m 50 m 00 m 60 m 0 m 00 m 0.5 m 0 m 0 m Convert ll the lengths to the sme unit. Don t forget to hek your nswers mth the units. MU90 Length, Perimeter n Are

6 Units of length - fin n orer length Here is list of some ojets n their heights. Put them in orer from shortest to tllest. oor.95 m lyir Shortest flgpole 6 m frige frige 5 m oor lyir mm girffe tree m 5 tree girffe 57 m 6 flgpole Tllest Mr Mrlowe s lss went on n exursion to the irus. He ske his stuents to guess the height of lown on stilts. ill in the missing heights: Nme Height of the lown on stilts Peter m 0 m 0 m. m Sr m 5 m 5 m.5 m Omr m 6 m 6 m.6 m Juli m 97 m 97 m.97 m He m 9m 09 m.09 m It turne out tht with the lown ws metres n 58 m tll. Who h the losest guess? Omr How fr off ws this person? 6 m Wht ws the ifferene etween the highest n the lowest guess? 85 m Write your height n fin the two people in your lss who re losest to your height. Answers will vry. WY59 Length, Perimeter n Are

7 Units of length - metres to kilometres Whih units of mesurement o we lrey know out? km = 000 m m = 0.00 km 00 m = 0. km To onvert from km to m, multiply y 000. To onvert from m to km, ivie y 000. Woul you use metres or kilometres to mesure the following lengths? rivewy m istne from Melourne to Syney km height of your house m mrthon re km e istne from Erth to the Moon km f istne roun the shool ovl m Write these lengths in kilometres: 000 m = km m = 5 km m = 8 km 500 m =.5 km e 65 m =.65 km f 77 m =.77 km Write these lengths in metres: km = 000 m 7 km = m km = 000 m 0.5 km = 500 m e.7 km = 700 m f 8. km = 8 00 m Whih is shorter? Cirle the shorter istne. km or 0 m 0.58 km or 600 m. km or 00 m 0.75 km or 0.79 km e 560 m or km f 5.5 km or m 5 Whih is longer? Cirle the longer istne. 00 km or 500 m 0.85 km or 800 m 900 m or.9 km.58 km or 600 m e 855 m or km f 7.5 km or 7 00 m J7 Length, Perimeter n Are 5

8 Units of length - metres to kilometres 6 Mrk these lengths in metres on the line elow. The first one is one for you. 00 metres 600 metres 00 metres 000 metres 00 metres 800 metres 0 km km 00 m 00 m 600 m 800 m 000 m 00 m 7 ill in the oxes to nswer these wor prolems: Aul wlke 0. of kilometre, Sr wlke 0 metres n Kitlyn wlke hlf kilometre. Write their nmes in the oxes elow to show how fr eh of them wlke. Aul 0 km km Sr Kitlyn In 0 km fun run event, Omr stoppe fter 6 ½ km, Peter stoppe fter m n Heii stoppe 0 metres efore the en. Write their nmes in the oxes elow to show how fr eh of them rn. Peter 0 km 0 km Omr Heii Leng wlke 50 metres to the us stop, n then roe the us for km to the eh. When she rrive t the eh she went for km jog y the se. How mny metres i she trvel ltogether? + km + km = 0.5 km 7 50 m I hve to onvert here! OZ6 Length, Perimeter n Are 6

9 Spot the istne pply This is n estimting gme for two plyers. The first plyer hooses two spots. The seon plyer estimtes the istne etween the spots in mm. Mesure from eh spot s ege. The seon plyer rws line etween the spots n then mesures the istne with their ruler. They sore 00 points for the right nswer, 0 points for n estimte within 0 mm, n 0 points for n estimte within 0 mm. The seon plyer piks two spots for the first plyer. The plyer with the most points fter 0 rouns wins! DW58 Length, Perimeter n Are 7

10 Wor prolems solve If there re 60 rohures in stk n eh of them re 8 mm thik, how high is the stk? 60 8 mm = 80 mm OR 8 m A plnk of woo is 5 metres long. If 50 m is swn off how muh is left? 5 m = 500 m 500 m 50 m = 50 m How mny 0 mm piees of gol wire n e ut from metre? m = 000 mm 000 mm 0 mm = 50 piees If finger nil grows mm week, how mny m woul it grow in one yer? 5 weeks in yer = 0 mm OR 0. m 5 One y I ought sheret stiks. Their lengths were 0.75 m, 50 m n 75 m. Wht ws the totl length? If sheret stiks ost $ metre, how muh i I spen?.75 m +.5 m +.75 m = m of sheret stik $ = $ DJ70 Length, Perimeter n Are 8

11 Trvelling fr - mesure istnes Write these istnes in eiml nottion: To onvert from m to km, ivie y 000. km m. km km 5 m.5 km km 5 m.5 km 5 km 5 m 5.5 km e 8 km 5 m 8.5 km f 8 km m 8.0 km g 85 m.85 km h 59 m.59 km Write these istnes in metres:.6 km 600 m.8 km 800 m 0.6 km 600 m 9. km 9 00 m 8. km 8 00 m 7. km 7 00 m e 5.6 km m e 0. km 00 m e 0. km 00 m Lgun Beh Meloy Point 5 m Rekless Roks 7 m 5 m Sunset Cove 57 m 90 m 980 m Shrk Cliff Sny Beh Look refully t Mermi Isln n work out how long these wlking trils re. Reor ll nswers in kilometres. Sunset Cove to Sny Beh 0.98 km Meloy Point to Shrk Cliff.57 km Rekless Roks to Lgun Beh 0.7 km e Meloy Point to Sny Beh vi Shrk Cliff Lgun Beh to Shrk Cliff vi Meloy Point.96 km.87 km VI5 Length, Perimeter n Are 9

12 Trvelling fr - mesure istnes Ro mps sometimes hve the istne etween towns written on the ro tht onnets them. This informtion helps you pln your journey. Here is pge from Hnnh s journl where she hs note the ples she went to uring ro trip with her fmily. A the istnes tht they trvelle eh y. Srorough Hstings 50 km Mullloo km 85 km 96 km Lexi 0 km Brighton 0 km 8 km 6 km Douleview Woovle Emleton Dy Toy we left home t Douleview n rove stright to Hstings. 0 km Dy We left Hstings fter rekfst then we h lunh in Mullloo. We stye the night in Brighton. 66 km Dy We rove to Emleton to fin out out getting new puppy! 6 km Dy We h to leve erly this morning s it turns out the puppy we wnt is in Lexi. 6 km Dy 5 Our new puppy is girl! We nme her Lexie, fter the town she me from. We eie to trvel up to Srorough to show Lexie to our ousins. 96 km Dy 6 Toy we rove ll the wy from Srorough to Woovle. D wnte to keep going till we got home ut Mum me him stop. 95 km Dy 6 Toy we rove the rest of the wy home. 0 km 5 Wht is the totl istne tht Hnnh n her fmily trvelle? Show ll of your working elow. 0 km GC6 Length, Perimeter n Are 0

13 Trvelling fr - mps n sle Sle is use to show long istnes on mp. This mkes it esier for us to trnslte istne on mp to istne in the rel worl. Use this mp to nswer the questions elow. Look refully t the sle. m home shool fire sttion prk SCALE: m = 00 m shop frm Wht is the shortest istne y ro from: home to shool? 00 m e home to prk? the fire sttion to the shop? the shool to the frm? home to the shop? 800 m 700 m 000 m 800 m f Drw your own route on the mp. Whih lnmrks o you go pst? Teher hek Wht is the totl istne of your route? Teher hek Now suppose the sle is m = km. Wht is the shortest istne y ro from: the fire sttion to the prk? the prk to home? home to the shop? km 8 km 8 km OQ9 Length, Perimeter n Are

14 Trvelling fr - mps n sle Use the sle of m = m to fin the length of eh line in metres (mesure to the losest m). m 0 m m Complete this tle using sle m = m: Sle length in m True length in m Complete this tle using sle of m = 6 m: Sle length in m True length in m Use this mp of trin route to nswer the questions using this sle m = 0 km: Stop 6 m Stop m Stop m Stop 8 m 0 m Stop 5 Stop 6 Wht is the istne from Stop to Stop? Wht is the istne from Stop to Stop 5? Wht is the istne from Stop to Stop 5? 0 km 0 km 0 km Wht is the totl istne of this trin route? 0 km VG99 Length, Perimeter n Are

15 Trvelling fr - spee n istne Spee n e mesure in kilometres per hour. 60 km per hour mens tht it tkes one hour to trvel 60 km n is written 60 km/h. Look t these istnes n the time it took. Work out the spees. Express your nswer s km/h: 76 km in n hour = 76 km/h 8 km in n hour = 00 km in hours = 50 km/h 0 km in hours = 8 km/h 65 km/h e 80 km in hours = 60 km/h f 0 km in hours = 60 km/h If r trvelle 00 km in 5 hours, work out how fr it trvelle in hours n in hours: hours hours 5 hours 0 km 00 km 0 km 80 km hr = 60 km If r trvelle 560 km in 8 hours, work out how fr it trvelle in hlf n hour n in hours: 0 km hlf n hour hours 8 hours 560 km 5 km 80 km hr = 70 km If r trvelle 950 km in 0 hours, show how long it took to trvel hlf wy: 0 km 5 hours 0 hours To work these out, you nee to first lulte wht n e overe in hour n then multiply n ivie s neee. 75 km 950 km hr = 95 km UC7 Length, Perimeter n Are

16 Trvelling fr - spee n istne 5 If snil trvels 6 mm in 0 minutes, how fr will it trvel in one hour? 6 mm 6 If r ws trvelling 60 km/h, how fr woul it hve trvelle fter 0 minutes? 0 km 7 Hrriet wlks t spee of out km/h. How long woul it tke for her to wlk 0 km? 5 hours 8 If truk ws trvelling 80 km/h, long woul it tke for truk to trvel 560 km? 7 hours 9 Rhe is trining for 0 km mrthon. He runs t n verge spee of 6 minutes km. Wht time n he expet to finish the mrthon in? You nee to onvert the totl minutes into hours. 0 minutes OR hours SI Length, Perimeter n Are

17 lg it! pply Getting Rey On your mrks, get set, go! You re out to prtiipte in re to ollet s mny flgs s possile in less thn 00 km. Wht to o... Strt t Point A. Work out how you will get to Point B olleting s mny flgs s you n t vrious towns long the wy. Use lultor to help you the istnes. You nee to eie on your route. You my not exee 00 km. Answers will vry. A Olin 90 Ehoville 0 85 York 0 Simonstown 5 Chelse Stoling Bontern 5 Milltown 0 50 Trenton Rinow Point 0 B lgstuff Wht to o next Use the spe elow to show your route n lulte the istne you over etween towns. ZT79 Length, Perimeter n Are 5

18 The City to Shool rete Getting Rey Your group hs een hire y your fvourite hrity to orgnise km fun run t your shool. You will pln n mesure out the ourse n then get nother group to test out your run. The run nees to e extly one kilometre in length. You ll nee mrkers t eh 00 m point. Shool rules must e followe. You my nee to ple signs initing spees for insie journeys. Answers will vry. The hrity orgnisers will nee etile plns of your route n hve ske your teher to e their uitor. He or she my hek on ny or ll of your lultions. Wht to o Work with your tem to pln the route. Where o you preit km will tke you? (You hve to sty within the shool grouns t ll times.) How will you mesure the istnes? Wht tools will you nee? If you ostles suh s liming over equipment, rememer to ftor in the istnes involve in going up n own! One you hve your route plnne, test it out. Is it possile? Do you nee to refine it? How will you reor the route for your hrity? A mp? A sle rwing? This is ig tsk in itself so you my wnt to ivie up the roles within the group. Wht to o next One you think you re rey, sumit your plns to your teher. Stge your event. Ask your teher n the other groups for their feek. PH87 Length, Perimeter n Are 6

19 Perimeter - perimeter of shpes Perimeter is the length roun the outsie of shpe. m m m m m m m The perimeter of the squre is 8 entimetres. m The perimeter of the retngle is 0 entimetres. Drw the following shpes n work out their perimeters: squre with m sies. retngle with two m sies n two m sies. retngle tht is twie s long s it is wie. Teher hek. These shpes re not to sle, so you n t use your ruler to work out the perimeter. Cn you fin the perimeter of these shpes? 7 m m m 7 m m 5 m P = 8 m P = 6 m P = m e 8 m P = 8 m 9 m 6 m P = 6 m 9 m IH60 Length, Perimeter n Are 7

20 Perimeter - perimeter of shpes These regulr polygons hve sies of equl lengths. m m m m P = 6 m P = 0 m P = 6 m P = m in the perimeter of these regulr polygons: * not to sle 5 m m m P = 0 m P = 8 m P = 6 m e Wht is the fstest wy to o this? 6 m m m P = 0 m P = m The perimeter of some regulr polygons is given in the tle elow. ill in the length of the sies: Perimeter m 0 m 8 m 5 m Length of eh sie m 0 m 6 m 5 m EX6 Length, Perimeter n Are 8

21 Perimeter - lulte perimeter in the perimeter of these shpes. Choose unit of mesurement to express your nswer. 5 m 70 m 0 m These shpes re ll symmetril. How oes tht help me? 0 m m 0 m f.5 m.5 m 0 m.8 m. m 6.6 m g 8 m m 7 m m 56 m m e h m 9 m m m 6 m 8 m 8 m VG75 Length, Perimeter n Are 9

22 Perimeter - lulte perimeter Irregulr shpes re not symmetril. This mens we nee to mesure eh sie. Mesure the sies of these irregulr shpes to the nerest m with your ruler n then fin the perimeter. P = m P = 0 m P = m Whih of these esigns for kyr pools woul e the lest expensive to fene? Pool B A B m m m 6 m 9 m 6 m 0 m 6 m m m m Why? The perimeter of Pool B is smller thn the perimeter of Pool A. Pool A = 6 m Pool B = AB9 Length, Perimeter n Are 0

23 Perimeter - onstrut shpes Use this m ot pper to rw some shpes with ifferent perimeters. Teher hek. Drw retngle with perimeter of m. Drw retngle with perimeter of 0 m. Drw retngle with perimeter of 6 m. Drw retngle with perimeter of 0 m. m Look refully t this hexgonl gri. If the sie of eh hexgon is m, wht is the perimeter of the she re? P = numer of sies P = 6 P = 5 m Teher hek. She the hexgons to onstrut shpe with perimeter of 6 m. She the hexgons to onstrut shpe with perimeter of 60 m. m m Teher hek GB5 Length, Perimeter n Are

24 Perimeter - onstrut shpes On the left is stirse shpe. Use the m ot pper to rerw the shpe so tht the perimeter is twie s ig: m Now rw nother version with the perimeter three times s ig: P Length, Perimeter n Are

25 Perimeter prolems solve The length of retngle is oule its with. in the perimeter if the with is 00 m. 00 m OR m The length of retngle is 6 times its with. in the length n with of the retngle if the perimeter is 7 metres. length = m with = 50 m Chrlie rn roun the shool times. How fr i she run? Write your nswer in km. 00 m 60 m =.8 km 80 m 00 m 0 m 00 m Jke wnts uil fene roun his swimming pool to omply with sfety regultions. If the length of his pool re is 6 metres n the with is metres, how muh will it ost? ening osts $55.50 metre. 0 $55.50 = $ 0 WY Length, Perimeter n Are

26 Pentomino puzzle solve Getting Rey Pentominoes re shpes tht onsists of five unit squres joine together so tht eh squre shres t lest one whole sie with nother squre. They were invente y very lever mn nme Solomon Wolf Golom. Wht to o Cut out the shpes elow n fit them together to form retngle. Wht is the perimeter? UL Length, Perimeter n Are

27 Are - introuing re Are is the mount of spe shpe overs. It is D mesurement. We mesure re in squre units. or smll res we use squre entimetres. m m She the gri to show retngle with the re of 6 m². retngle she. Wht is the re of eh she shpe? Eh squre in the gri hs n re of m². re = m² re = m² re = m² Wht is the re of eh retngle? Eh squre in the gri hs n re of m². Some of the squres hve een mrke in for you. re = 5 m² re = 0 m² re = 8 m² Di you nee to see ll the squres to work out the re? No. KD8 Length, Perimeter n Are 5

28 Are - introuing re We n use this formul to fin the re of retngles: Are = length x with Are = x 5 = 5 m² 5 m m m 5 m in the res of these shpes: 6 m m m m m m re = m² re = 6 m² re = m² m e 8 m 5 m f m m m re = 0 m² re = m² re = 6 m² 5 In these shpes you know the re ut not the length of ll the sies. Lel the missing sies: m m 7m 8 m 5 m m re = 0 m² re = m² re = m² EU Length, Perimeter n Are 6

29 Are - re of tringles Eh tringle is hlf of retngle. To fin the re of tringle, fin the re of the retngle n then ivie y two. m 5 m Retngle = m 5 m = 0 m² Tringle = 0 m² = 0 m² in the re of the she tringles insie the retngles. m m 5 m 6 m m m re = m² re = 5 m² re = m² 8 m e m f 6 m 5 m 8 m m re = 0 m² re = m² re = m² in the re of the she tringles insie the retngles. 6 m m m m 7 m 0 m re = 9 m² re = m² re = 5 m² f re = m² e e re = m² re = 0 m² 6 m 8 m 0 m 7 m 6 m 6 m V5 Length, Perimeter n Are 7

30 Are - hetres n squre kilometres Hetres re use to mesure lrge spes suh s footll fiel. We write hetres s h. One hetre is equl to m². An even lrger unit is squre kilometre km². One squre kilometre is equl to 00 hetres. h = m² km² = m² in the re of eh lrge re. Write your nswer in hetres. 00 m 00 m 0 m 00 m 50 m 0 m re = hetres re =. hetres re =.5 hetres f 00 m e 00 m 00 m 00 m 50 m 50 m re = 6 hetres re =.5 hetres re = 6 hetres Orer the sttes n territories from smllest to lrgest res: km² = m² NORTHEN TERRITORY Queensln New South Wles km² km² WESTERN AUSTRALIA SOUTH AUSTRALIA QUEENSLAND NEW SOUTH WALES Vitori ACT Western Austrli South Austrli km² 00 km² km² km² Tsmni km² Northern Territory 6 00 km² TASMANIA ACT Tsmni Vitori New South Wles 5 South Austrli 6 Northern Territory 7 Queensln 8 Western Austrli BK5 Length, Perimeter n Are 8

31 Are - re n perimeter in the perimeter n re of eh shpe. P = 0 m A = 6 m² P = 6 m A = 6 m² P = m A = 9 m² P = 9 or 0 m A =.5 m² m Use the gri elow to rw two shpes with perimeter of m ut with ifferent res: m Answers will vry. Use the m gri elow to rw three shpes with res of 0 m² ut with ifferent perimeters. Reor the perimeter of eh shpe: Answers will vry. m m m ZO95 Length, Perimeter n Are 9

32 Are - re n perimeter Drw ifferent retngles tht hve perimeter of m n reor the re in the tle. The first row in the tle is hint of where to strt. Length With Are 0 Teher hek. 5 Drw s mny ifferent retngles s you n with the re of 6 m². Lel the length of eh sie. EA65 Length, Perimeter n Are 0

33 Are puzzles solve How mny m² tiles o I nee to over this wll? 8 m m How mny m² tiles o I nee to over this sme wll? 8 How mny m² tiles o I nee to over wll tht is 6 m y 6 m? 8 How mny 5 m² tiles o I nee to over wll tht is 5 m y 5 m? 5 EA5 Length, Perimeter n Are

34 Composite lultions pply Cn you fin the res of these rooms? Cirle the room tht woul e hepest to rpet. Put ross in the room tht woul e most expensive. 9 m m m m 6 m 8 m 6 m re = 50 m² m re = m m m 8 m² 9 m m 6 m re = 6 m² m 8 m m 5 m 5 m m 6 m 8 m 9 m 5 m 8 m 7 m m m re = m 50 m² e re = 8 m² f re = 0 m² Drw omposite shpe tht hs n re of 50 m². Teher hek. CQ8 Length, Perimeter n Are

35 Units of length Nme: Write the mesurement tht the rrows re pointing to: 0 m Rule line tht is greter thn 5 m ut less thn 6 m: Convert into entimetres: 50 m= m 8 m = m. m = m. m= m Convert into millimetres: 5 m = mm 7 m = mm m = mm 0 m = mm 5 Convert into metres: 500 m = m m = m 9 m = m 000 m = m 6 Orer these lengths from shortest to longest: 0 mm, 00 m, m,.5m, 5m,.5m Mesures n reors length in ifferent units Converts etween m, mm n m Orers lengths of ifferent units Skills Not yet Kin of Got it Topi Assessment

36 Units of length Nme: Write the mesurement tht the rrows re pointing to: 0 m m. m Rule line tht is greter thn 5 m ut less thn 6 m: Answers will vry. Convert into entimetres: 50 m= m 8 m = 800 m. m = 0 m. m= 0 m Convert into millimetres: 5 m = 50 mm 7 m = 70 mm m = 0 mm 0 m = 00 mm 5 Convert into metres: 500 m = 5 m m = 75 m 9 m =.9 m 000 m = 0 m 6 Orer these lengths from shortest to longest: 0 mm, 00 m, m,.5m, 5m,.5m.5 m, 0 mm, m, 00 m,.5 m, 5 m Mesures n reors length in ifferent units Converts etween m, mm n m Orers lengths of ifferent units Skills Not yet Kin of Got it Topi Assessment

37 Trvelling r Nme: Convert into kilometres: m = km 80 m = km m = km 00 m = km Convert into metres: 5 m 7 km = m km = m = m 7.8 km = m Mli roe her ike 700 metres to the shops. She then roe the sme istne k gin. How mny kilometres i she rie her ike for in totl? Jk wlks roughly 5 km /h. He wlks from shool to the orner shop ( 00 m), from the shop to his frien s ple ( m), n then home (6 m). Assuming he stops t the shops n his mte s ple only riefly, n he o this trip in less thn n hour? Show your working out. 5 SCALE: D A E Roun eh line to the nerest m n use the sle to lulte the following istnes: A to B C to E m = 0 km C B B to D If you trvel t n verge spee of 70 km/h how long woul it tke you to get from Point A to Point E? Converts etween metres n kilometres Solves simple spee n istne prolems Interprets sles to lulte istnes Skills Not yet Kin of Got it Topi Assessment 5

38 Trvelling r Nme: Convert into kilometres: m = 5 km 80 m = 0.08 km m = 0. km 00 m = 0. km Convert into metres: 5 m 7 km = 0.5 m km = 000 m = m 7.8 km = m Mli roe her ike 700 metres to the shops. She then roe the sme istne k gin. How mny kilometres i she rie her ike for in totl? 0.7 km km =. km Jk wlks roughly 5 km /h. He wlks from shool to the orner shop ( 00 m), from the shop to his frien s ple ( m), n then home (6 m). Assuming he stops t the shops n his mte s ple only riefly, n he o this trip in less thn n hour? Show your working out.. km +. km km =.779 km, whih is less thn 5 km, so YES Jk n o it in less thn n hour. 5 SCALE: D A E Roun eh line to the nerest m n use the sle to lulte the following istnes: A to B 0 km C to E 80 km m = 0 km C B B to D 70 km If you trvel t n verge spee of 70 km/h how long woul it tke you to get from Point A to Point E? hours Converts etween metres n kilometres Solves simple spee n istne prolems Interprets sles to lulte istnes Skills Not yet Kin of Got it Topi Assessment 6

39 Perimeter Nme: Drw squre with perimeter of 8 m. Lel the length of eh sie. Drw retngle with perimeter of m. Lel the length of eh sie. ill in the missing sie lengths n fin the perimeters of these symmetril shpes: m m m 6m 5 m m m m 9 m Complete this tle. All shpes re regulr. Length of eh sie.5 m 6 m Perimeter 6 m 5 m Mesures the perimeter of shpes Cretes shpes with speifie perimeters Skills Not yet Kin of Got it Uses unerstning of perimeter to lulte sie lengths Topi Assessment 7

40 Perimeter Nme: Drw squre with perimeter of 8 m. Lel the length of eh sie. m m m Drw retngle with perimeter of m. Lel the length of eh sie. Answers will vry. m ill in the missing sie lengths n fin the perimeters of these symmetril shpes: 6 m m m m m m 6m 5 m m 5 m m m m m m m m m m m 9 m 60 m Complete this tle. All shpes re regulr. Length of eh sie m.5 m 5 m 6 m Perimeter 6 m 0 m 5 m 0 m Mesures the perimeter of shpes Cretes shpes with speifie perimeters Skills Not yet Kin of Got it Uses unerstning of perimeter to lulte sie lengths Topi Assessment 8

41 Are Nme: Wht is the re of eh she shpe? Eh squre hs n re of m². e f re = m² re = m² re = m² re = m² e re = m² f re = m² Crete ifferent shpes with n re of 8 m² m in the re of : retngle mesuring 6 m x 5 m pool mesuring 5 m x m ox mesuring m x 9 m phone mesuring.5 m x 0 m Topi Assessment 9

42 Are Nme: Wht is the re of eh she shpe? Eh squre hs n re of m². e f re = m² re = m² re = 6 m² re = 5 m² e re = 7 m² f re = 5.5 m² Crete ifferent shpes with n re of 8 m². Smple nswers: m in the re of : retngle mesuring 6 m x 5 m 0 m² pool mesuring 5 m x m 00 m² ox mesuring m x 9 m 08 m² phone mesuring.5 m x 0 m 5 m² Topi Assessment 0

43 Are Nme: in the re of these tringles: m 6 m m 0 m m m re = m² re = m² re = m² 5 Woul you hoose m², m², h or km² to mesure the re of the following? this pge Afri ity prk n ipo 6 Crete shpes eh with perimeter of 0 m ut with ifferent res: m ins the re of of shpes using gris Uses formul L x W to fin re of retngles ins re of tringles Mkes pproprite unit hoies for mesuring Skills Not yet Kin of Got it Reognises shpes n hve sme perimeters ut ifferent res Topi Assessment

44 Are Nme: in the re of these tringles: m 6 m m 0 m m m re = 9 m² re = 0 m² re = 0.5 m² 5 Woul you hoose m², m², h or km² to mesure the re of the following? this pge m² Afri km² ity prk h n ipo m² 6 Crete shpes eh with perimeter of 0 m ut with ifferent res: Smple nswers: m ins the re of of shpes using gris Uses formul L x W to fin re of retngles ins re of tringles Mkes pproprite unit hoies for mesuring Skills Not yet Kin of Got it Reognises shpes n hve sme perimeters ut ifferent res Topi Assessment

45 Length, Perimeter n Are - Series Region NSW Topi Units of length Topi Trvelling fr Topi Perimeter Topi Are MS. - Selet n use the pproprite unit n evie to mesure lengths, istnes n perimeters MS. - Selet n use the pproprite unit n evie to lulte re mesure n reor lengths or istnes use omintions of m, mm, m n km reognise the nee for unit longer thn metre use revition km fin the perimeter of lrge re lulte n ompre perimeters of squres, reognise the nee for unit lrger thn m² reognise n explin the nee for more retngles n onvenient unit thn onvert etween m, mesure using km n tringles km²- hetres mm, m n km to ½ km ompre lengths fin the reltionship selet the pproprite onvert etween km etween the lengths unit to lulte re reor lengths to n m of sies n the eiml ples fin the reltionship solve simple prolems perimeter for squres, etween length n selet n use the using spee (WM) retngles, equilterl reth n re pproprite unit n n isoseles tringles evie pply mesurement explin tht to everyy situtions question n explin perimeters of (WM) why two stuents squres, tringles my otin ifferent mesures (WM) solve prolems involving ifferent n retngles n e foun y fining the sum of the sie lengths mesures of length (WM) VELS Mesurement Level use metri units to estimte n mesure length, perimeter, re VIC mesure s urtely s neee for the purpose of the tivity onvert etween metri units of length rete new prolems se on fmilir prolem strutures (WM) EL Y 5 - Length n re n e estimte, mesure n orere using stnr n nonstnr units of mesure. QLD stnr units, inluing m, m, m², m² n rnge of instruments re use to mesure n orer ttriutes of ojets inluing length n re links exist etween ifferent wys of reoring the sme mesurement resonle estimtes n e me using strtegies tht suit the sitution

46 Region Topi Units of length Topi Trvelling fr Topi Perimeter Topi Are. - Selet pproprite ttriutes n systems to mesure for vriety of purposes.5 - Use rnge of stnr tools to mesure reltionships etween istnes to lulte size hoose n use metri hoose n use metri ientify reltionships reognise units or non-metri units or non-metri etween istnes reltionships etween stnr units to stnr units to to evelop n use mesurle ttriutes ompre, mesure ompre, mesure formule in orer to of figures n ojets, n nlyse n nlyse estimte n lulte n ommunite mesure for vriety of purposes estimte istnes in terms of metri units the perimeter of polygons these reltionships in oth everyy n mthemtil hoose pproprite lnguge SA strtegies n units of omprison in plnning mesurement ientify reltionships etween istnes to evelop n use formule in orer to hoose the pproprite tools, estimte n lulte the re of shpes tehnologies n units to mesure for prtiulr level of ury, n isusses how the tools use ffet the preision of mesurements M 9., M 9. WA/NT selet pproprite ttriutes, istinguish perimeter from re n hoose units of sensile size for the esriptions n omprisons to e me. mesure re y ounting uniform units, inluing prt-units where require 7.LC. - mesurement ttriutes of length, re, mss, pity, volume, ngle n time 7.LC. - informl n stnr units of mesurement of these ttriutes, inluing metre, entimetre, millimetre, squre metre, squre entimetre, kilogrm, grm, litre, millilitre, egrees, hours n minutes ACT 7.LC. - the onept of onservtion, inluing ifferent wys of reoring the sme mesurement (e.g. in metres, entimetres or millimetres) 7.LC. - the onept of mesurements s pproximtions, with the mesurement ontext influening levels of preision require n wys of refining mesurements (e.g. y hnging units or instruments) NZ Mesurement - Use liner sles n whole numers of metri units for length, re, volume n pity, weight (mss), ngle, temperture, n time.