Length, Perimeter and Area

Transcription

1 F Techer Student Book SERIES Length, Perieter nd Are Ne

2 Series F Length, Perieter nd Are Contents Topic Section 1 1 Units Answers of length (pp. (pp. 1 ) 1 8) Dte copleted, units c, of length 1 find trvelling nd order fr length 9 perieter etres to kiloetres 17 spot re the distnce pply 5 word proles solve / / / / / / / / / / Topic Section Trvelling Assessent fr (pp. with 9 16) nswers (pp. 4) esure units of length distnces trvelling ps nd fr scle 5 perieter speed nd distnce 7 flg re it! pply 9 the city to school crete Topic Section Perieter Ojectives (pp. (p. 17 4) 4) Topic 4 Are (p. 5 - ) perieter of shpes clculte perieter construct shpes perieter proles solve ore perieter proles solve introducing re re of tringles hectres nd squre kiloetres re nd perieter Series Authors: re puzzles solve Rchel Flenley Nicol Herringer coposite clcultions pply Plese note: These pges hve een designed to print to shrink to printle re s this is coon defult setting on ny coputers. There y e inor discrepncies with esureents s individul printers nd photocopiers print to slightly different proportions. / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / Copyright

3 Units of length, c, These units of esureent re used regulrly in everydy life. 10 = 1 c 100 c = = 1 k It kes sense to sy etres insted of 00 centietres. 1 Coplete the esure of ech ite elow y dding either, c or next to the nuer: c 0 c 14 4 d e f 1 c 8 Estite nd then esure these lengths. Which unit will you use? Oject Estite Mesure c d e f g Height of desk Shoulder to the fingertips Width of the door Hnd spn Pencil shrpener Width of fingernil A4 pper length Length, Perieter nd Are Copyright P Lerning Answers will vry. F 1 SERIES TOPIC 1

4 Units of length, c, To convert fro c to, ultiply y 10. This conversion ox cn help you convert units of length. To convert fro to c, divide y c Convert these lengths to illietres: 0 c c = 50 c = 0 c 9 c = 90 d 7 c = 70 e 11 c = 110 f 15 c = Convert these lengths to centietres: 50 = 5 c 0 = c c =. c d 15 = 1.5 c e 156 = 15.6 c f 495 = 49.5 c 5 Convert these lengths to etres: 00 c = 500 c = 5 c 50 c =.5 d 900 c = 9 e 000 c = 0 f c = Convert these lengths to etres: = = 5 To convert fro to, divide y c = 4.5 d 500 = 0.5 F 1 SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

5 Units of length find nd order length 1 Look crefully t how ech shpe is divided nd find the issing length: 1 0 c 70 c 150 c 150 c c 00 c 60 c 140 c d 100 c c 0 c Convert ll the lengths to the se unit. Don t forget to check your nswers tch the units. Length, Perieter nd Are Copyright P Lerning F 1 SERIES TOPIC

6 Units of length find nd order length Here is list of soe ojects nd their heights. Put the in order fro shortest to tllest: door ldyird Shortest flgpole 16 fridge fridge 145 c door ldyird 4 girffe tree 11 5 tree girffe 457 c 6 flgpole Tllest Mr Mrlowe s clss went on n excursion to the circus. He sked his pupils to guess the height of clown on stilts. Fill in the issing heights: Ne Height of the Clown on Stilts Peter 0 c 0 c. Sr 4 15 c 415 c 4.15 Or 64 c 64 c.64 Juli 97 c 97 c.97 He 4 9 c 409 c 4.09 It turned out tht the clown ws nd 58 c tll. Who hd the closest guess? How fr off ws this person? c Wht ws the difference etween the highest nd the lowest guess? Or 6 c 85 c d Write your height nd find the two people in your clss who re closest to your height. Answers will vry. 4 F 1 SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

7 Units of length etres to kiloetres Which units of esureent do we lredy know out? 1 k = = k 100 = 0.1 k To convert fro k to, ultiply y To convert fro to k, divide y Would you use etres or kiloetres to esure the following lengths? Drivewy Distnce fro London to Edinurgh k c Height of your house d A rthon rce k e Distnce fro Erth to the Moon k f Length of the school plyground Write these lengths in kiloetres: 000 = k = 5 k c = 8 k d = 1.5 k e 645 =.645 k f = k Write these lengths in etres: k = k = c 4 k = d 0.5 k = 500 e.7 k = 700 f 8. k = Which is shorter? Circle the shorter distnce: k or k or 600 c. k or 100 d 0.75 k or 0.79 k e 560 or k f 5.5 k or Which is longer? Circle the longer distnce: 00 k or k or 800 c or.9 k d 1.58 k or e 855 or k f 7.5 k or 7 00 Length, Perieter nd Are Copyright P Lerning F 1 SERIES TOPIC 5

8 Units of length etres to kiloetres 6 Mrk these lengths in etres on the line elow. The first one hs een done for you. 100 etres 600 etres 400 etres etres 00 etres 800 etres 0 k 1 k Fill in the oxes to nswer these word proles: Adul wlked 0.4 of kiloetre, Sr wlked 0 etres nd Kitlyn wlked hlf kiloetre. Write their nes in the oxes elow to show how fr ech of the wlked. Adul 0 k 1 k Sr Kitlyn In 10 k fun run event, Or stopped fter 6 1 k, Peter stopped fter nd Heidi stopped 10 efore the end. Write their nes in the oxes elow to show how fr ech of the rn. Peter 0 k 10 k Or Heidi c Leng wlked 50 to the us stop, nd then rode the us for k to the ech. When she rrived t the ech she went for 4 k jog y the se. How ny etres did she trvel ltogether? I hve to convert here! 0.5 k + k + 4 k = F 1 SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

9 Spot the distnce pply Wht to do This is n estiting ge for two plyers. The first plyer chooses two spots. The second plyer estites the distnce etween the spots in. Mesure fro ech spot s edge. The second plyer drws line etween the spots nd then esures the distnce with their ruler. They score 100 points for the right nswer, 40 points for n estite within 10, nd 0 points for n estite within 0. The second plyer picks two spots for the first plyer. The plyer with the ost points fter 10 rounds wins! Length, Perieter nd Are Copyright P Lerning F 1 SERIES TOPIC 7

10 Word proles solve Wht to do If there re 60 rochures in stck nd ech of the re 8 thick, how high is the stck? 60 8 = 480 or 48 c A plnk of wood is 5 long. If 150 c is swn off, how uch is left? 5 = 500 c 500 c 150 c = 50 c c How ny 0 pieces of gold wire cn e cut fro 1? 1 = = 50 pieces d If fingernil grows week, how ny c would it grow in 1 yer? 5 weeks in yer = 104 or 10.4 c e One dy I ought sheret sticks. Their lengths were 0.75, 50 c nd 75 c. Wht ws the totl length? If sheret sticks cost $ etre, how uch did I spend? = of sheret stick $ = $4 8 F 1 SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

11 Trvelling fr esure distnces 1 Write these distnces in decil nottion: To convert fro to k, divide y k 1 =.1 k 4 k 5 = 4.5 k c k 45 =.45 k d 5 k 5 = 5.5 k e 8 k 145 = k f 8 k = 8.0 k g 85 = 0.85 k h 59 = 0.59 k Write these distnces in etres:.6 k = k = 800 c 0.6 k = 600 d 9. k = 9 00 e 8. k = 8 00 f 7.1 k = g 5.6 k = h 0. k = 00 i 0.1 k = 100 k Look crefully t Merid Islnd nd work out how long these wlking trils re. Record ll nswers in kiloetres. Lgun Bech Melody Point 1 45 Reckless Rocks Sunset Cove Shrk Cliff Sndy Bech Sunset Cove to Sndy Bech 0.98 k Melody Point to Shrk Cliff 1.57 k c Reckless Rocks to Lgun Bech 0.71 k d Melody Point to Sndy Bech vi Shrk Cliff 1.96 k e Lgun Bech to Shrk Cliff vi Melody Point.817 k Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC 9

12 Trvelling fr esure distnces Rod ps soeties hve the distnce etween towns written on the rod tht connects the. This infortion helps you pln your journey. 4 Here is pge fro Hnnh s journl where she hs noted the plces she went to during rod trip with her fily. Add the distnces tht they trvelled ech dy. Chester 61 k 17 k Nottingh 145 k Cridge Stroud 15 k 70 k k Bth k Midstone Plyouth 00 k Bourneouth Dy 1 Tody we left hoe t Plyouth nd drove stright to Bourneouth. 00 k Dy We left Bourneouth fter rekfst then we hd lunch in Midstone. We styed the night in Cridge. 58 k Dy We drove to Nottingh to find out out getting new puppy! 145 k Dy 4 We hd to leve erly this orning s it turns out the puppy we wnt is in Chester. 17 k Dy 5 Our new puppy is oy! We ned hi Chester, fter the town he ce fro. We decided to trvel ck to Nottingh to show Chester to our cousins. Dy 6 Tody we drove ll the wy fro Nottingh to Bth. Dd wnted to keep going till we got hoe ut u de hi stop k k Dy 7 Tody we drove the rest of the wy hoe. k 5 Wht is the totl distnce tht Hnnh nd her fily trvelled? Show ll of your working elow k 10 F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

13 Trvelling fr ps nd scle Scle is used to show long distnces on p. This kes it esier for us to trnslte distnce on p to distnce in the rel world. 1 Use this p to nswer the questions elow. Look crefully t the scle. 1 c hoe school fire sttion prk SCALE: 1 c = 100 shop fr Wht is the shortest distnce y rod fro: hoe to school? 400 hoe to the prk? 800 c the fire sttion to the shop? 700 d the school to the fr? e hoe to the shop? 800 f Drw your own route on the p. Which lndrks do you go pst? Techer check Wht is the totl distnce of your route? Techer check Now, suppose the scle is 1 c = 1 k. Wht is the shortest distnce y rod fro: the fire sttion to the prk? k the prk to hoe? 8 k c hoe to the shop? 8 k Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC 11

14 Trvelling fr ps nd scle Use the scle of 1 c = to drw these lines in the oxes: 16 c 9 4 Coplete this tle using scle of 1 c = c: Scle length in c True length in c Coplete this tle using scle of 1 c = 6 : Scle length in c True length in Use this p* of trin route to nswer the questions using this scle 4 c = 10 k: Stop 16 c Stop 1 4 c Stop 4 c Stop 4 8 c 0 c Stop 5 Stop 6 Wht is the distnce fro Stop 1 to Stop? 40 k *Not drwn to scle. Wht is the distnce fro Stop 4 to Stop 5? 0 k c Wht is the distnce fro Stop to Stop 5? 40 k d Wht is the totl distnce of this trin route? 10 k 1 F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

15 Trvelling fr speed nd distnce Speed cn e esured in kiloetres per hour. 60 k per hour ens tht it tkes 1 hour to trvel 60 k nd is written s 60 k/h. 1 Look t these distnces nd the tie it took. Work out the speeds. Express your nswer s k/h: 76 k in n hour = 76 k/h 8 k in n hour = 8 k/h c 100 k in hours = 50 k/h d 10 k in hours = 65 k/h e 180 k in hours = 60 k/h f 40 k in 4 hours = 60 k/h If cr trvelled 00 k in 6 hours, work out how fr it trvelled in hours nd in hours: hours hours 6 hours 0 k 00 k 100 k 150 k 1 hr = 50 k If cr trvelled 560 k in 8 hours, work out how fr it trvelled in hlf n hour nd in 4 hours: 0 k hlf n hour 4 hours 8 hours 560 k 5 k 80 k 1 hr = 70 k 4 If cr trvelled 950 k in 10 hours, show how long it took to trvel hlf wy: 0 k 5 hours 10 hours To work these out, you need to first clculte wht cn e covered in 1 hour nd then ultiply nd divide s needed. 475 k 950 k 1 hr = 95 k Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC 1

16 Trvelling fr speed nd distnce 5 If snil trvels 6 in 10 inutes, how fr will it trvel in 1 hour? 6 6 If cr ws trvelling 60 k/h, how fr would it hve trvelled fter 10 inutes? 10 k 7 Hrriet wlks t speed of out 4 k/h. How long would it tke for her to wlk 0 k? 5 hours 8 If truck ws trvelling 80 k/h, how long would it tke for the truck to trvel 560 k? 7 hours 9 Rhed is trining for 40 k rthon. He runs t n verge speed of 6 inutes k. Wht tie cn he expect to finish the rthon in? You need to convert the totl inutes into hours. 40 inutes or 4 hours 14 F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

17 Flg it! pply Getting redy On your rks, get set, go! You re out to prticipte in rce to collect s ny flgs s possile in less thn 400 k. Wht to do 1 Strt t Point A. Work out how you will get to Point B collecting s ny flgs s you cn t vrious towns long the wy. Use clcultor to help you dd the distnces. You need to decide on your route. You y not exceed 400 k. A Olind 90 Echoville York 0 Sionstown 5 Chelse Stoling Bontern 115 Milltown Trenton Rinow Point 40 B Flgstuff Wht to do next Use the spce elow to show your route nd clculte the distnce you cover etween towns. Answers will vry. Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC 15

18 The City to School crete Getting redy Your group hs een hired y your fvourite chrity to orgnise 1 k fun run t your school. You will pln nd esure out the course nd then get nother group to test out your run. The run needs to e exctly 1 kiloetre in length. You ll need rkers t ech 100 point. School rules ust e followed. You y need to plce signs indicting speeds for inside journeys. The chrity orgnisers will need detiled plns of your route nd hve sked your techer to e their uditor. He or she y check on ny or ll of your clcultions. Answers will vry. Wht to do Work with your te to pln the route. Where do you predict 1 k will tke you? (You hve to sty within the school grounds t ll ties.) How will you esure the distnces? Wht tools will you need? If you dd ostcles such s cliing over equipent, reeer to fctor in the distnces involved in going up nd down! Once you hve your route plnned, test it out. Is it possile? Do you need to refine it? How will you record the route for your chrity? A p? A scled drwing? This is ig tsk in itself so you y wnt to divide up the roles within the group. Answers will vry. Wht to do next Once you think you re redy, suit your plns to your techer. Stge your event. Ask your techer nd the other groups for their feedck. Answers will vry. 16 F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

19 Perieter perieter of shpes Perieter is the length round the outside of shpe. c c c c c c c The perieter of the squre is 8 c. c The perieter of the rectngle is 10 c. 1 Drw the following shpes nd work out their perieters: A squre with c sides. A rectngle with two 4 c sides nd two c sides. 1 c 14 c c A rectngle tht is twice s long s it is wide. Techer check. These shpes re not to scle, so you cn t use your ruler to work out the perieter. Cn you find the perieter of these shpes? 7 c c 1 c 7 c c 5 c 1 c 18 c 16 c 1 c d e 8 c 8 c 9 c 6 c 6 c 9 c Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC 17

20 Perieter perieter of shpes These regulr polygons* hve sides of equl lengths. c 16 c c 10 c 1 c 6 c 1 c 4 c Find the perieter of these regulr polygons*: *Not drwn to scle. c 5 c c 4 c 0 c 18 c 16 c d e Wht is the fstest wy to do this? 6 c 4 c 0 c c 4 The perieters of soe regulr polygons re given in the tle elow. Fill in the length of the sides: Perieter 4 c 40 c 48 c 5 c Length of ech side 4 c 10 c 6 c 5 c 18 F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

21 Perieter clculte perieter 1 Find the perieter of these shpes. Choose unit of esureent to express your nswer. 40 c These shpes re ll syetricl. How does tht help e? 45 c 170 c 0 c 440 c c d 0 c e 7 f 56 g h Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC 19

22 Perieter clculte perieter Irregulr shpes re not syetricl. This ens we need to esure ech side. Find the perieters of these irregulr shpes: 6 c 4 c 1 c c c 4 c c 1 c c 1 c c 1 c c c c c 0 c c 1 c 4 c c 4 c 1 c c c 1 c 1 c c 0 c 5 c Which of these designs for plygrounds would e the lest expensive to fence? Plyground B Plyground A Plyground B Why? The perieter of Plyground B is sller thn the perieter of Plyground A. Plyground A = 6 Plyground B = 0 F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

23 Perieter construct shpes 1 Use this 1 c dot pper to drw soe shpes with different perieters. Techer check. Drw rectngle with perieter of 1 c. Drw rectngle with perieter of 0 c. c Drw rectngle with perieter of 16 c. d Drw rectngle with perieter of 10 c. Look crefully t this hexgonl grid. If the side of ech hexgon is, wht is the perieter of the shded re? Nuer of sides 6 5 Shde the hexgons to construct shpe with perieter of 6. Shde the hexgons to construct shpe with perieter of 60. Techer check. Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC 1

24 Perieter construct shpes On the left is stircse shpe. Use the 1 c dot pper to redrw the shpe so tht the perieter is twice s ig: 1 c 4 Now drw nother version with the perieter three ties s ig: F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

25 Perieter proles solve Wht to do The length of rectngle is doule its width. Find the perieter if the width is 00 c c or 1 The length of rectngle is 6 ties its width. Find the length nd width of the rectngle if the perieter is 7 etres. Length = Width = 50 c c Chrlie rn round the school ties. How fr did she run? Write your nswer in k =.48 k d Jke wnts to uild fence round his swiing pool to coply with sfety regultions. If the length of his pool re is 6 etres nd the width is 4 etres, how uch will it cost? Fencing costs $55.50 etre. 0 $55.50 = $1 110 Length, Perieter nd Are F Copyright P Lerning SERIES TOPIC

26 More perieter proles solve Wht to do The re of ech squre is 9 c. Wht is the perieter of this figure? The side of ech squre ust e c. 4 = 7 Totl perieter is 7 c The figure is de up of 14 squres. Ech squre hs n re of 6 c. Wht is the perieter? The side of ech squre ust e 6 c. There re 4 sides. 4 6 = 04 Totl perieter is 04 c. c The re of this rectngle is 6 c. If ll the sller rectngles re exctly the se, wht is the perieter of one rectngle? 1 c If the re is 6 c, the length of the lrge rectngle ust e 8 c. The width of sll rectngle ust e 4 c, since 8 1 = 16 nd 16 4 = 4 4 F SERIES TOPIC Length, Perieter nd Are Copyright P Lerning

27 Are introducing re Are is the ount of spce shpe covers. It is D esureent. We esure re in squre units. For sll res we use squre centietres. 1 c 1 c 1 Shde the grid to show rectngle with the re of 6 c². Sple nswer. Answers will vry. rectngle shded. Wht is the re of ech shded shpe? Ech squre in the grid hs n re of 1 c². c Are = 4 c Are = c Are = 4 c Wht is the re of ech rectngle? Ech squre in the grid hs n re of 1 c². Soe of the squres hve een rked in for you. c Are = 15 c Are = 0 c Are = 18 c d Did you need to see ll the squres to work out the re? No Length, Perieter nd Are F 4 Copyright P Lerning SERIES TOPIC 5

28 Are introducing re We cn use this forul to find the re of rectngles: Are = length width Are = 5 = 15 c 5 c c c 5 c 4 Find the res of these shpes*: 6 c 4 c c 1 c 4 c 4 c 4 c Are = 4 c Are = 16 c Are = 4 c c d e 8 f c 5 c 4 c Are = 10 c Are = Are = 6 c 5 In ech shpe*, you re given the re ut one side is not lelled. Lel the issing side: 4 c Are = 4 Are = 0 Are = 14 *Not drwn to scle. 6 F SERIES 4 TOPIC Length, Perieter nd Are Copyright P Lerning

29 Are re of tringles Ech tringle is hlf of rectngle. To find the re of tringle, find the re of the rectngle nd then divide y two. 4 c 5 c Rectngle = 4 c 5 c = 0 c² Tringle = 0 c² = 10 c² 1 Find the re of the shded tringles inside the rectngles*: c c 5 c c 4 c 6 c c Are = 4 c Are = 15 c Are = c d e f 8 c c 6 c 8 c 5 c Are = 0 c 4 c Are = 1 c Are = 1 c Find the re of the shded tringles*: c 6 c 4 c c c 7 c 10 c Are = 9 c Are = 14 c Are = 15 c d e f 6 c 8 c 10 c 7 c 6 c 6 c Are = 1 c Are = 4 c Are = 0 c *Not drwn to scle. Length, Perieter nd Are F 4 Copyright P Lerning SERIES TOPIC 7

30 Are hectres nd squre kiloetres Hectres re used to esure lrge spces such s footll field. We write hectres s h. One hectre is equl to ². An even lrger unit is squre kiloetre k². One squre kiloetre is equl to 100 hectres. 1 h = ² 1 k² = ² 1 Find the re of ech lrge re*. Write your nswer in hectres c Are = hectres Are =.5 hectres Are = 1.44 hectres d e f Are = 6 hectres Are = 4.5 hectres Are = 6 hectres *Not drwn to scle. Order these Europen countries fro sllest to lrgest res: Country Are United Kingdo United Kingdo Irelnd k² k² Irelnd Frnce k² Gerny Itly k² Frnce Greece k² Portugl Itly Spin Portugl k² k² Spin Gerny k² 1 k² = ² Greece 1 Irelnd Portugl Greece 4 United Kingdo 5 Itly 6 Gerny 7 Spin 8 Frnce 8 F SERIES 4 TOPIC Length, Perieter nd Are Copyright P Lerning

31 Are re nd perieter 1 Find the perieter nd re of ech shpe: 0 c A = 16 c² 16 c A = 16 c² 1 c c 1 c 1 c A = 9 c² d 14 c A = 1 c² Use the grid elow to drw two shpes with perieter of 1 c ut with different res: Answers will vry. 1 c 1 c Use the 1 c grid elow to drw three shpes with res of 10 c² ut with different perieters. Record the perieter of ech shpe: Answers will vry. c c c c Length, Perieter nd Are F 4 Copyright P Lerning SERIES TOPIC 9

32 Are re nd perieter 4 Drw different rectngles tht hve perieter of 4 c nd record the re in the tle. The first row in the tle is hint of where to strt. Length Width Are 10 Techer check. 5 Drw s ny different rectngles s you cn with the re of 6 c². Lel the length of ech side: Techer check. 0 F SERIES 4 TOPIC Length, Perieter nd Are Copyright P Lerning

33 Are puzzles solve Wht to do Solve these re puzzles: 8 c 4 c How ny 1 c² tiles do I need to cover this wll? How ny 4 c² tiles do I need to cover this se wll? 8 How ny c² tiles do I need to cover wll tht is 6 c y 6 c? 18 c How ny 5 c² tiles do I need to cover wll tht is 15 c y 5 c? 15 Length, Perieter nd Are F 4 Copyright P Lerning SERIES TOPIC 1

34 Coposite clcultions pply Wht to do Cn you find the res of these roos*? Circle the roo tht would e chepest to crpet. Put cross in the roo tht would e ost expensive. 1 c c c c 9 c 8 c 4 c c c c 9 c 6 c 6 c c 6 c Are = 50 c Are = 18 c Are = 6 c d e f c 8 c 1 c 5 c 5 c c c 6 c 8 c 4 c 9 c 15 c 8 c 7 c 11 c Are = 50 c Are = 84 c Are = 101 c *Not drwn to scle. Wht to do next Drw coposite shpe tht hs n re of 50 c². Techer check. F SERIES 4 TOPIC Length, Perieter nd Are Copyright P Lerning

35 Units of length Ne 1 Write the esureent tht the rrows re pointing to: 0 c Rule line tht is greter thn 5 c ut less thn 6 c: Convert into centietres: 50 = c 8 = c c 11. = c d 1. = c 4 Convert into illietres: 45 c = 7 c = c 1 c = d 110 c = 5 Convert into etres: 500 c = c = c 9 c = d 000 c = 6 Order these lengths fro shortest to longest: 0, 00 c, 1,.5, 5 c,.5 c Skills Not yet Kind of Got it Mesures nd records length in different units Converts etween c, nd Orders lengths of different units Series F Topic 1 Assessent Copyright P Lerning

36 Units of length Ne 1 Write the esureent tht the rrows re pointing to: 0 c c 1.4 c Rule line tht is greter thn 5 c ut less thn 6 c: Answers will vry. Convert into centietres: 50 = c 8 = 800 c c 11. = 1 10 c d 1. = 10 c 4 Convert into illietres: 45 c = c = 70 c 1 c = 10 d 110 c = Convert into etres: 500 c = c = 75 c 9 c =.9 d 000 c = 0 6 Order these lengths fro shortest to longest: 0, 00 c, 1,.5, 5 c,.5 c.5 c, 0, 1, 00 c,.5, 5 c Skills Not yet Kind of Got it Mesures nd records length in different units Converts etween c, nd Orders lengths of different units 4 Series F Topic 1 Assessent Copyright P Lerning

37 Trvelling fr Ne 1 Convert into kiloetres: = k 80 = k c 11 = k d 400 = k Convert into etres: 45 c = 14 k = c 7 k = d 7.8 k = Mli rode her ike 700 etres to the shops. She then rode the se distnce ck gin. How ny kiloetres did she ride her ike for in totl? 4 Jck wlks roughly 5 k/h. He wlks fro school to the corner shop (1 00 ), fro the shop to his friend s plce ( 4 ), nd then hoe (146 ). Assuing he stops t the shops nd his te s plce only riefly, cn he do this trip in less thn n hour? Show your working out. 5 Round ech line to the nerest c nd use the scle to clculte the following distnces: E to B A D to E c c C to B D 6 c c E d If you trvel t n verge speed of 70 k/h, 4 c how long would it tke you to get fro Point A to Point E (vi points B, C nd D)? Circle the est nswer: 6 hours hours hours C c c B SCALE: 1 c = 10 k Skills Not yet Kind of Got it Converts etween etres nd kiloetres Solves siple speed nd distnce proles Interprets scles to clculte distnces Series F Topic Assessent 5 Copyright P Lerning

38 Trvelling fr Ne 1 Convert into kiloetres: = 5 k 80 = 0.08 k c 11 = 0.11 k d 400 = 0.4 k Convert into etres: 45 c = k = c 7 k = d 7.8 k = Mli rode her ike 700 etres to the shops. She then rode the se distnce ck gin. How ny kiloetres did she ride her ike for in totl? 0.7 k k = 1.4 k 4 Jck wlks roughly 5 k/h. He wlks fro school to the corner shop (1 00 ), fro the shop to his friend s plce ( 4 ), nd then hoe (146 ). Assuing he stops t the shops nd his te s plce only riefly, cn he do this trip in less thn n hour? Show your working out. 1. k +.4 k k = k, which is less thn 5 k, so YES Jck cn do it in less thn n hour. 5 Round ech line to the nerest c nd use the scle to clculte the following distnces: E to B 50 k A D to E 90 k c c C to B 0 k D 6 c c E d If you trvel t n verge speed of 70 k/h, 4 c how long would it tke you to get fro Point A to Point E (vi points B, C nd D)? Circle the est nswer: 6 hours hours hours C c c B SCALE: 1 c = 10 k Skills Not yet Kind of Got it Converts etween etres nd kiloetres Solves siple speed nd distnce proles Interprets scles to clculte distnces 6 Series F Topic Assessent Copyright P Lerning

39 Perieter Ne 1 Drw squre with perieter of 8 c. Lel the length of ech side. Drw rectngle with perieter of 1 c. Lel the length of ech side. Fill in the issing side lengths nd find the perieters of these syetricl shpes*: *Not drwn to scle. Coplete this tle. All shpes re regulr. Length of ech side.5 c 6 c Perieter 16 c 5 c Skills Not yet Kind of Got it Mesures the perieter of shpes Cretes shpes with specified perieters Uses understnding of perieter to clculte side lengths Series F Topic Assessent 7 Copyright P Lerning

40 Perieter Ne 1 Drw squre with perieter of 8 c. Lel the length of ech side. Drw rectngle with perieter of 1 c. Lel the length of ech side. c c c Answers will vry. c Fill in the issing side lengths nd find the perieters of these syetricl shpes*: *Not drwn to scle. Coplete this tle. All shpes re regulr. Length of ech side 4 c.5 c 5 c 6 c Perieter 16 c 0 c 5 c 6 c Skills Not yet Kind of Got it Mesures the perieter of shpes Cretes shpes with specified perieters Uses understnding of perieter to clculte side lengths 8 Series F Topic Assessent Copyright P Lerning

41 Are Ne 1 Wht is the re of ech shded shpe? Ech squre hs n re of 1 c². c Are = c Are = c Are = c d e f Are = c Are = c Are = c Crete different shpes with n re of 18 c²: 1 c 1 c Find the re of: A rectngle esuring 6 c 5 c A swiing pool esuring 5 4 c A ox esuring 1 c 9 c d A phone esuring 4.5 c 10 c Series F Topic 4 Assessent 9 Copyright P Lerning

42 Are Ne 4 Find the re of these tringles*: 4 c c c 1 Are = Are = c Are = *Not drwn to scle. 5 Would you choose c², ², h or k² to esure the re of the following? This pge Afric c A city prk d An ipod 6 Crete shpes ech with perieter of 10 c ut with different res: 1 c 1 c Skills Not yet Kind of Got it Finds the re of shpes using grids Uses forul L W to find re of rectngles Finds re of tringles Mkes pproprite unit choices for esuring Recognises shpes cn hve se perieters ut different res 40 Series F Topic 4 Assessent Copyright P Lerning

43 Are Ne 1 Wht is the re of ech shded shpe? Ech squre hs n re of 1 c². c Are = 4 c Are = 4 c Are = 6 c d e f Are = 5 c Are = 7 c Are = 5.5 c Crete different shpes with n re of 18 c²: Sple nswers: Answers will vry. 1 c 1 c Find the re of: A rectngle esuring 6 c 5 c 0 c ² A swiing pool esuring ² c A ox esuring 1 c 9 c 108 c ² d A phone esuring 4.5 c 10 c 45 c ² Series F Topic 4 Assessent 41 Copyright P Lerning

44 Are Ne 4 Find the re of these tringles*: c 4 c c 1 Are = 9 Are = 0 c Are = 0.5 *Not drwn to scle. 5 Would you choose c², ², h or k² to esure the re of the following? This pge c ² Afric k ² c A city prk h d An ipod c ² 6 Crete shpes ech with perieter of 10 c ut with different res: Sple nswers: Answers will vry. 1 c 1 c Skills Not yet Kind of Got it Finds the re of shpes using grids Uses forul L W to find re of rectngles Finds re of tringles Mkes pproprite unit choices for esuring Recognises shpes cn hve se perieters ut different res 4 Series F Topic 4 Assessent Copyright P Lerning

45 Series F Length, Perieter nd Are 006 Priry Frework Core Ojectives Topic 1 Units of Length Topic Trvelling fr Topic Perieter Topic 4 Are Using nd pplying thetics solve one- nd two-step proles involving whole nuers nd decils nd ll four opertions, choosing nd using pproprite clcultion strtegies, including clcultor use Mesuring red, choose, use nd record stndrd etric units to estite nd esure length, weight nd cpcity to suitle degree of ccurcy, e.g. the nerest centietre; convert lrger to sller units using decils to one plce, e.g. chnge.6 kg to 600 g Using nd pplying thetics solve one- nd two-step proles involving whole nuers nd decils nd ll four opertions, choosing nd using pproprite clcultion strtegies, including clcultor use Mesuring red, choose, use nd record stndrd etric units to estite nd esure length, weight nd cpcity to suitle degree of ccurcy, e.g. the nerest centietre; convert lrger to sller units using decils to one plce, e.g. chnge.6 kg to 600 g interpret reding tht lies etween two unnuered divisions on scle drw nd esure lines to the nerest illietre; esure nd clculte the perieter of regulr nd irregulr polygons; use the forul for the re of rectngle to clculte its re Using nd pplying thetics solve one- nd two-step proles involving whole nuers nd decils nd ll four opertions, choosing nd using pproprite clcultion strtegies, including clcultor use Mesuring red, choose, use nd record stndrd etric units to estite nd esure length, weight nd cpcity to suitle degree of ccurcy, e.g. the nerest centietre; convert lrger to sller units using decils to one plce, e.g. chnge.6 kg to 600 g drw nd esure lines to the nerest illietre; esure nd clculte the perieter of regulr nd irregulr polygons; use the forul for the re of rectngle to clculte its re Using nd pplying thetics solve one- nd two-step proles involving whole nuers nd decils nd ll four opertions, choosing nd using pproprite clcultion strtegies, including clcultor use Mesuring red, choose, use nd record stndrd etric units to estite nd esure length, weight nd cpcity to suitle degree of ccurcy, e.g. the nerest centietre; convert lrger to sller units using decils to one plce, e.g. chnge.6 kg to 600 g drw nd esure lines to the nerest illietre; esure nd clculte the perieter of regulr nd irregulr polygons; use the forul for the re of rectngle to clculte its re Series F Ojectives 4 Copyright P Lerning