Units of length metres and centimetres

Transcription

1 Units of length etres and entietres We use etres, en etres and illietres regularly in everyday life. There are 00 en etres in etre. Another way to think about this rela onship is that en etre is one hundredth of a etre. 00 = = 00 or 0.0 So = 50 = Convert eah etre easureent into en etres: a = 00 d 9 = 900 b 4 = 400 e = 50 4 = 5 f 4 = 5 Convert eah en etre easureent to etres: a 0 = 0. d 50 = 0.5 b 0 = 0. e 75 = = 0.9 f 80 = 0.8 s ate and easure three things that fit in eah ategory: a About etre b About 4 etre s ate in Answers will vary. Measure in About etre 4 Math these objets to their orret easureent by onne ng the with a line: Copyright P Learning

2 Units of length etres and entietres 5 Measure the length of the lines below using a ruler. Write eah length in en etres, to the nearest en etre. a b Answer these ques ons about the lines above: a How uh longer is line b than line? b What would the length of line b be if it was shorter? What would the length of line be if it was 9 longer? Draw lines for the following easureents. Make sure you start eah line on the dot. a 4 b 8 8 Measure soe objets you find in the lassroo. Label the easureents to the nearest en etre in the boxes. a b d e f g Answers will vary. Copyright P Learning

3 Units of length length and deial notation When we easure things that are in etres and en etres it is useful to reord suh lengths in deial nota on. Reeber that = 00. This an be wri en as 0.0. So if we easure soething that is etre and 6 en etres long, we would write it like this:.6 Hundredths of a etre Tenths of a etre Metres in whole nubers Write the easureents in deial for: a etre 69 en etres =.69 b etres 9 en etres =.9 etres en etres =. d 4 en etres = 0.4 e 9 etres 4 en etres = 9.04 f 5 etres 9 en etres = 5.09 Write these en etres as etres using deial nota on: a 46 = 4.6 b 9 = = 5.67 d 607 = 6.07 e 50 = 5. f 4 = 0.04 Write these easureents as en etres: a 9.4 = 94 b.45 = = 607 d 5.47 = 547 e 0.94 = 94 f 9.5 = 95 4 Draw lines for the following easureents. Make sure you start eah line on the dot and keep eah line parallel to the top of the page. a 0.07 b Copyright P Learning

4 Units of length length and deial notation 5 You an work individually or in sall groups for this task. You will need a tape easure. First, iden fy three or four objets in the lassroo (or in the shool) that you think have length between etre and etres. Reord the nae of the objets in the table below. Seond, es ate the length of eah objet in etres and en etres and reord it in the table. Third, easure the atual length of eah objet and reord it in the table. Then, write the atual length of eah objet as a deial in the table. Finally, work out the differene between eah es ate and the atual length. Reord this in etres and en etres, and as a deial. Answers will vary. Objet nae stiated length Atual length Atual length as a deial.... Differene between estiated length and atual length 6 Find the lines that onnet to ake these lengths:, and. Show you have found the by traing over lines that onnet in different olours. To start you off, the first length has been done for you. a = b = = You an trae over these in green. You an use a alulator Copyright P Learning

5 Units of length illietres We use etres, en etres and illietres regularly in everyday life. You should learn these illietre fats: en etre = 0 illietres = = = s ate and easure these objets in illietres: Answers will vary. Objet s ate Millietres a b Width of your thub Length of your hand Length of a grape Convert these en etre easureents into illietres: a 4 = 40 b = 0 0 = 00 d 6 = 65 e 7 = 70 f = 5 Write these as en etres and illietres: a 7 = 7 b 9 = 9 4 = 4 d 6 = 6 4 Write these easureents as en etres: a = 6 =. b 46 = d 48 = 4.8 Copyright P Learning 5

6 Units of length illietres 5 Follow these steps to easure these lines aurately in en etres and illietres = 9 4 Line up the zero on your ruler with the start of the line. Read the last that is at the end of the line. Write down the nuber. Count the a er the and write it next to the. a = 9 9 b = 0 = 4 5 d = 6 6 Coplete the table for these deadly spiders: Length in Length in and Length in a Redbak 7 0 and b Funnel web 5 and 5.5 Blak widow and. d Brown reluse 5 and 5.5 e List these deadly spiders in order fro sallest to largest: Redbak, blak widow, funnel web, brown reluse 6 Copyright P Learning

7 Convert it apply Ge ng ready This is a gae for two players. Players need a ounter eah, a opy of this page and a die. opy What to do Observe students. The objet of this gae is to get to the finish line first. Deide who will go first. That player rolls the die and oves that any spaes on the board. If you land on a easureent that is white, you ust onvert to OR to. If you land on a easureent that is grey, you ust either onvert to OR to. The other players deide if you are orret. If you are, then you ove forward spae. If you are inorret, you ove bakwards spaes Finish Start Copyright P Learning 7

8 Perieter easuring shapes Perieter is the total length around the outside of an enlosed spae. To find the perieter of this shape, we add the lengths of all the sides. 6 P = = 6 6 Find the perieters of these shapes: a 6 b P = P = = 4 = d P = = P = = Find the perieter of this shape. Set your working out learly = 0 8 Copyright P Learning

9 Perieter easuring shapes Find the perieters of these irregular shapes. Use the dot paper as your guide. a b P = P = 8 d P = P = 4 e f P = 8 P = 4 4 Use a ruler to draw soe shapes with the following perieters. You an experient first with a geoboard and soe rubber bands. a Draw a retangle with a perieter of. b Draw a retangle with a perieter of 0. Answers will vary. Copyright P Learning 9

10 Perieter alulating perieter Use what you know about squares and retangles to work out the perieter of these shapes. Measuring will not help beause they are not to sale. Look arefully at the diensions a b P = 8 P = 6 5 d 4 P = P = Show how to find the perieter of these shapes with an addi on sentene and a ul plia on sentene for eah. Shape A has been done for you. 5 4 Shape A Shape B Shape C Shape Perieter by addi on Perieter by ul plia on A = 6 4 sides 4 = 6 B C = 5 5 sides = = 0 6 sides 5 = 0 0 Copyright P Learning

11 Perieter alulating perieter Predit the perieter of eah of these shapes on the square en etre grid below. Show what the perieter is by drawing and labelling. a A square with 4 sides. b A retangle with two sides and two sides. P = 6 P = 8 4 Use the grid paper to onstrut the following shapes at eah star ng point with the stated perieter. a 0 b 4 8 Answers ay vary. 5 Here are ore square en etre grids. a What is the perieter of this irregular shape? b Draw a square with the sae perieter. P = 6 Copyright P Learning

12 Perieter perieter word probles Solve these perieter probles: a Pablo drew a retangle in his workbook. The perieter of the retangle was 4. Two sides are long. How long are the other two sides? 5 5 b The perieter of a square shaped pool is 00. What are the easureents of the pool? West Thye Priary Shool is adding a new fene around the outside of the playground. The playground is retangular shaped. One length is 6. The perieter is 5. What are all the easureents of the playground? d Lia ade a pentagon fro agne s ks. If the perieter of his shape is 55, what is the length of one side? Length of one side = Copyright P Learning

13 Perieter hallenges solve What to do Try these perieter hallenges: a The perieter of this square is. When it is ut in half, we get two iden al retangles. What is the perieter of one retangle? = 4 P = 4 b This retangle is 6 wide. How long is it if the perieter is? 0 6 Length The lines on soe of the sides are to show you they are all the sae length. Find the perieter of this shape if the length is. P = 40 Copyright P Learning

14 Harder perieter hallenges solve What to do Use the lues in eah of these diagras to find the perieter. Diagra Perieter = 64 Diagra Perieter = 54 4 Copyright P Learning

15 Area square entietres Area is the aount of spae a shape overs. It is a D easureent. We easure area in square units. For sall areas, we use square en etres. = square en etre = ah square overs an area of square en etre ( ²). Reord the area of eah shape: a b d Area = 7 Area = 6 Area = Area = 9 Find the area of these irregular shapes. Use the grid paper as your guide: a b Area = Area = Area = Copyright P Learning 5

16 Area square entietres Use the square en etre grid paper to shade soe irregular shapes with the following areas: Answers will vary. a 4 square en etres b 6 square en etres 4 How any shapes an you ake with an area of 9 square en etres? Show the on the grid below. The first one has been done for you. Answers will vary. 5 What is the area of eah retangle? ah square in the grid has an area of ². a b Area = 0 Area = 5 Area = 8 6 Copyright P Learning

17 Area square etres When we need to find the areas of large spaes, we use square etres. The sybol for square etres is ². In groups, s k piees of newspaper together to ake a square that is etre long and etre wide. a How any people an fit standing inside one square etre? Answers will vary. b Cut your square into five piees and then s k it bak together. It an be any shape. Draw it here: Teaher hek. Is this s ll one square etre? Yes Use your square etre to easure five areas in your shool. s ate first. Spae to be easured s ate Atual area a b Answers will vary. d e Copyright P Learning 7

18 Area square etres Rewrite these easureents the short way. The first one has been done for you. a Twenty nine square etres = b Thirty seven square etres = Three hundred two square etres = d Six hundred ninety one square etres = e ighty point seven square etres = f Seven point two square etres = 9 ² 7 ² 0 ² 69 ² 80.7 ² 7. ² 4 Miss Farbio has a retangular garden with six fene posts. The distane between eah post is etre and the area of her garden is ². Her neighbour Mr Gubbio has 4 fene posts, also etre apart. What is the area of his garden in square etres if one side of the fene has three posts, just like Miss Farbio s garden? Area of Mr Gubbio s garden = 0 8 Copyright P Learning

19 Area investigating area and perieter What is the area and perieter of these shapes? a P = 0 A = 6 b P = 6 A = 6 P = A = 6 d P = 4 A = 9 Use the grid below to draw two shapes with a perieter of but with different areas: Saple answers: P = A = 9 P = A = 5 Colour a square with a side length of 4. Label its area and perieter. Now olour a square with a side length of 5 and label its area and perieter. P = 6 A = 6 P = 0 A = 5 What do you no e? P and A are the sae in the st square. Copyright P Learning 9

20 Area investigating area and perieter 4 Look at this square grid. Soe of the grid is shaded. Work out the area of the part that is shaded. The area of the part that is shaded is 5 ² A faster way to alulate area is to ul ply the length by the width. Look at this square. If we ul ply the length by the width, we get 6 ². This is the sae as oun ng all the squares Calulate the area of eah of these shapes by ul plying the length by the width: a A = b A = 40 0 A = d A = Copyright P Learning

21 Area hallenges apply What to do Solve these area hallenges based on the diensions: a A fraed photograph is 6 5. The frae itself is 5 wide. Use these lues to find the area of the photograph inside the frae The area of the photograph is 90. b Using a ruler, opy this shape so it reflets on the right of the irror line. Then work out the total area of this shape. Mirror The total area of this shape is 9. Copyright P Learning

22 Area hallenges apply What to do next Solve these area hallenges based on the diensions: a Max folded a retangular piee of paper in half three es to ake a square. If one side of the final square was, what was the area of the piee of paper he started with? The area of the piee of paper he started with was. b Aber reeived a drawing fro her ousin Caeron. The drawing was on a square piee of paper folded in half four es. If the area of the folded drawing was 4 ², what was the area of the original piee of paper that Caeron drew on? The area of the original piee of paper that Caeron drew on was 64. Copyright P Learning