This booklet consists of the following topics: Lenght Measuring Tools Metre Conversions
1. SUBJECT – MATHEMATICS CLASS – III TOPIC – LENGTH
2. PDF CHAPTER LINK Click on the link to Length for Class III PDF download the chapter
3. LEARNING OBJECTIVES Students will be able to: • Identify the objects which are measured by their length. • Compare the objects having different lengths. • Measure the lengths of different objects. • Convert metres into centimetres and kilometres into metres • Convert centimetres into metres and metres into kilometres • Explain addition and subtraction of different length measurements • Solve the word problems based on length
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5. LENGTH What is length? Length is a distance from one point to another point The standard unit for length is metre. Let us look at the example below. What is the height of the reptile? The answer is 5 units
6. Ancient ways to measure length cubit arm span foot stride
7. Introduction Students will be asked to measure the length of their desk using their hand spans and then share their findings
8. Findings will be like this: STUDENT LENGTH (in hand spans) 1 8 hand spans 2 6 hand spans 3 9 hand spans Measuring will give different results as length of hand spans of each student is different. SO THIS METHOD OF MEASUREMENT IS NOT CORRECT.
9. Different people/creatures has different size of body parts For example a man walks, The bear below also walks, But all of them have different stride. That is why we cannot measure length by using our body parts
10. Measuring Tools These are the measuring tools that we use to measure length. All the measuring tools shown are in the standard units. Ruler measuring tape measuring tape
11. Which of the following objects can be measured in length?
12. Objects sold by measuring length Wire Rope Ribbon Cloth
13. How to measure length? Let us look at the pencil below? The length of the pencil is 5 cm – 1 cm = 4 cm
14. We can measure how long things are. How long, tall or how far apart they are. These are all units of length measurements Kilometres (km) Most Common Millimetres Metres (m) Measurements (mm) Centimetres (cm)
15. Smallest unit of Millimetre (mm) length Millimetres (mm)
16. Biggest unit unit of of length length Kilometre Metre (m) (km)
17. Units of Length and their relationship Remember: Kilometre is written as km Metre is written as m Centimetre is written as cm Millimetre is written as mm The biggest unit of length is kilometre(km). Standard unit of length is metre(m). Smallest unit of length is millimetre(mm) 1 kilometre = 1000 metre 1 metre = 100 centimetre 1 centimetre = 10 millimetre
18. Units of length from smaller to larger mm cm m km
19. Metres Metres can be used to measure the length of a house, length of a blackboard or the size of a playground. Trousers Curtains Length of the cloth needed to stitch a trouser or a curtain is expressed in metres. 1 m = 100 cm
20. Kilometre • We need bigger unit of length to measure roads, distance between the Earth and the Moon and distance between two cities. • To measure big lengths and long distances, we make use of the unit called kilometre. 1 km = 1000 m
21. Converting bigger unit into smaller unit m km X 100 X 1000 cm m Metre to centimetres: Kilometre to metres: We multiply the number of We multiply the number of metres by 100 to convert kilometres by 1000 to convert ‘metres’ into ‘centimetres’ ‘kilometres’ into ‘metres’ For example: 15 m For example: 97 km = 15 X 100 cm = 97 X 1000 m = 1500 cm = 97000 m
22. Conversions Metre and centimetre to Kilometre and metre to metre: centimetre: We multiply the number of kilometres We multiply the number of metres by 100 by 1000 to convert ‘kilometres’ to to convert ‘metres’ to ‘centimetres’ and ‘metres’ and add the number of metres. add the number of centimetres. For example: 12km 170m For example: 8m 35cm = 12 X 1000 m + 170 m = 8 X 100 cm + 35 cm = 12000 m + 170 m = 800 cm + 35 cm = 12170 m = 835 cm
23. Converting smaller unit into bigger unit cm m ÷ 100 ÷ 1000 m km Centimetre to metres: Metres to kilometres: We divide the number of We divide the number of centimetres by 100 to convert metres by 1000 to convert ‘centimetres’ into ‘metres’ ‘metres’ into ‘kilometres’ For example: 2700 cm For example: 32000 m = 2700 ÷ 100 = 32000 ÷ 1000 = 27 = 32 Answer. 2700 cm = 27 m Answer. 32000 m = 32 km
24. Convert centimetres to metres and centimetres 525 cm 5 Quotient 100 525 500 25 Remainder 525 cm = 5 m 25 cm
25. Convert metres to kilometres and metres 8415 m 8 Quotient 1 0 0 0 84 1 5 80 0 0 415 Remainder 8415 m = 8 km 415 m
26. Word Problems Q. Somu covers a distance of 25 km 460 m and Adyasha covers 19 km 650 m. Find the total distance covered by Distance covered by Somu = 25 km 460 m Distance covered by Adyasha = 19 km 650 m km m 11 1 Total distance covered by them = 25 460 + 19 650 45 110 Answer. Somu and Adyasha covered a distance of 45 km 110 m
27. Word Problems Q. Sibu has a 8 m 56 cm long ribbon. He cuts 5 m 75 cm long ribbon from it. How much ribbon is left with him? Length of ribbon Sibu had = 8 m 56 cm We cannot Length of ribbon cut = 5 m 75 cm subtract 75 from m cm 56 so, let’s borrow 1 m 7 156 Length of ribbon left with Sibu = 8 56 - 5 75 2 81 Answer. Sibu has 2m 81 cm ribbon left with him.
28. LEARNING OUTCOMES Students are able to: • Identify the objects which are measured by their length. • Compare the objects having different lengths. • Measure the lengths of different objects. • Choose the appropriate measuring tools to measure length. • Measure length using the correct technique. • State the different unit for length. • Convert one unit of length to another unit. • Explain addition and subtraction of different length measurements. • Solve the word problems based on length.
29. MIND MAP Measuring Arm span tape String Terminology Cubit Ways to measure The distance between two Ruler points/place/position Length Standard Correct tools Technique Eye must be Measuring Ruler directly above the Units of tape ends of the object length mm cm m km
30. DAV PUBLIC SCHOOL, UNIT-VIII, BHUBANESWAR SUB-MATHEMATICS, CLASS-III CHAPTER-LENGTH WORKSHEET Fill in: Full Mark: 10 1. ____ is the best unit to measure the length of a twenty-rupee note (1 mark) Answer the following: 2. Convert the difference of 35 km and 18 km into metres (2 marks) 3. The shopkeeper bought 53 m 79 cm of cloth. He found that 1600 cm of cloth was damaged. What length of cloth was in good condition ? (3 marks) 4. Reema bought 30 m 75 cm cloth from a shop. She used 15 m 45 cm cloth for making curtains and 10 m 76 cm cloth for making uniform. How much cloth is left with her? (4 marks) **********************
31. Marking scheme Ques. no. Value points Marks allotted 1 Centimetre (cm) 1 2 Difference = 35 km – 18 km 0.5 = 17 km 0.5 1 km = 1000 m 0.5 17 km = 17 x 1000 m 0.5 = 17000 m 3 Length of cloth a shopkeeper = 53 m 79 cm length of cloth damaged = 1600 cm statement 0.5 1600 cm = 16 m 0.5 length of cloth in good condition = m cm 53 79 - 16 00 1 ------------------ 37 m 79 cm 0.5 + 0.5 ------------------ Answer: 37 m 79 cm of cloth was in good condition. Contd…
32. Marking scheme (Continued) 4 Length of cloth Reema bought = 30 m 75 cm length of cloth used for making curtains = 15 m 45 cm length of cloth used for making uniform= 10 m 76 cm statement 1 Total length of cloth used = m cm 15 45 + 10 76 0.5 -------------------- 26 m 21 cm 0.5 + 0.5 --------------------- Length of cloth left = m cm 30 75 + 26 21 0.5 -------------------- 04 m 54 cm --------------------- Answer: 4 m 54 cm cloth is left with Reema 0.5 + 0.5
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