VI CLASS CBSE-i SCIENCE Measurement UNIT-1 Shiksha Kendra, 2, Community Centre, Preet Vihar, Delhi-110 092 India CBSE-i SCIENCE Measurement UNIT-1 VI CLASS Shiksha Kendra, 2, Community Centre, Preet Vihar, Delhi-110 092 India The CBSE-International is grateful for permission to reproduce and/or translate in copyright material used in this publication. The acknowledgements have been included wherever appropriate and sources from where the material may be taken duly mentioned. In case any thing has been missed out, the Board will be pleased to rectify the error at the earliest possible opportunity. All Rights of these documents are reserved. No part of this publication may be reproduced, printed or transmitted in any form without the prior permission of the CBSE-i. This material is meant for the use of schools who are a part of the CBSE-International only. Preface The Curriculum initiated by Central Board of Secondary Education -International (CBSE-i) is a progressive step in making the educational content and methodology more sensitive and responsive to the global needs. It signifies the emergence of a fresh thought process in imparting a curriculum which would restore the independence of the learner to pursue the learning process in harmony with the existing personal, social and cultural ethos. The Central Board of Secondary Education has been providing support to the academic needs of the learners worldwide. It has about 11500 schools affiliated to it and over 158 schools situated in more than 23 countries. The Board has always been conscious of the varying needs of the learners in countries abroad and has been working towards contextualizing certain elements of the learning process to the physical, geographical, social and cultural environment in which they are engaged. The International Curriculum being designed by CBSE-i, has been visualized and developed with these requirements in view. The nucleus of the entire process of constructing the curricular structure is the learner. The objective of the curriculum is to nurture the independence of the learner, given the fact that every learner is unique. The learner has to understand, appreciate, protect and build on values, beliefs and traditional wisdom, make the necessary modifications, improvisations and additions wherever and whenever necessary. The recent scientific and technological advances have thrown open the gateways of knowledge at an astonishing pace. The speed and methods of assimilating knowledge have put forth many challenges to the educators, forcing them to rethink their approaches for knowledge processing by their learners. In this context, it has become imperative for them to incorporate those skills which will enable the young learners to become 'life long learners'. The ability to stay current, to upgrade skills with emerging technologies, to understand the nuances involved in change management and the relevant life skills have to be a part of the learning domains of the global learners. The CBSE-i curriculum has taken cognizance of these requirements. The CBSE-i aims to carry forward the basic strength of the Indian system of education while promoting critical and creative thinking skills, effective communication skills, interpersonal and collaborative skills along with information and media skills. There is an inbuilt flexibility in the curriculum, as it provides a foundation and an extension curriculum, in all subject areas to cater to the different pace of learners. The CBSE has introduced the CBSE-i curriculum in schools affiliated to CBSE at the international level in 2010 and is now introducing it to other affiliated schools who meet the requirements for introducing this curriculum. The focus of CBSE-i is to ensure that the learner is stress-free and committed to active learning. The learner would be evaluated on a continuous and comprehensive basis consequent to the mutual interactions between the teacher and the learner. There are some non-evaluative components in the curriculum which would be commented upon by the teachers and the school. The objective of this part or the core of the curriculum is to scaffold the learning experiences and to relate tacit knowledge with formal knowledge. This would involve trans-disciplinary linkages that would form the core of the learning process. Perspectives, SEWA (Social Empowerment through Work and Action), Life Skills and Research would be the constituents of this 'Core'. The Core skills are the most significant aspects of a learner's holistic growth and learning curve. The International Curriculum has been designed keeping in view the foundations of the National Curricular Framework (NCF 2005) and the experience gathered by the Board over the last seven decades in imparting effective learning to millions of learners, many of whom are now global citizens. The Board does not interpret this development as an alternative to other curricula existing at the international level, but as an exercise in providing the much needed Indian leadership for global education at the school level. The International Curriculum would evolve on its own, building on learning experiences inside the classroom over a period of time. The Board while addressing the issues of empowerment with the help of the schools' administering this system strongly recommends that practicing teachers become skillful learners on their own and also transfer their learning experiences to their peers through the interactive platforms provided by the Board. I profusely thank Shri G. Balasubramanian, former Director (Academics), CBSE, Ms. Abha Adams and her team and Dr. Sadhana Parashar, Head (Innovations and Research) CBSE along with other Education Officers involved in the development and implementation of this material. The CBSE-i website has already started enabling all stakeholders to participate in this initiative through the discussion forums provided on the portal. Any further suggestions are welcome. Vineet Joshi Chairman Acknowledgements Advisory Conceptual Framework Shri Vineet Joshi, Chairman, CBSE Shri G. Balasubramanian, Former Director (Acad), CBSE Shri Shashi Bhushan, Director(Academic), CBSE Ms. Abha Adams, Consultant, Step-by-Step School, Noida Dr. Sadhana Parashar, Head (I & R),CBSE Ideators Ms Aditi Misra Ms. Anuradha Sen Ms. Jaishree Srivastava Dr. Rajesh Hassija Ms Amita Mishra Ms Archana Sagar Dr. Kamla Menon Ms. Rupa Chakravarty Ms. Anita Sharma Ms. Geeta Varshney Dr. Meena Dhami Ms Sarita Manuja Ms Anita Makkar Ms Guneet Ohri Ms Neelima Sharma Ms Seema Rawat Dr. Anju Srivastava Dr. Indu Khetrapal Dr. N. K. Sehgal Dr. Uma Chaudhry Material Production Group: Classes I-V Dr. Indu Khetarpal Ms. Rupa Chakravarty Ms Anita Makkar Ms. Nandita Mathur Ms. Vandana Kumar Ms. Anuradha Mathur Ms. Kalpana Mattoo Ms. Seema Chowdhary Ms. Anju Chauhan Ms. Savinder Kaur Rooprai Ms. Monika Thakur Ms. Ruba Chakarvarty Ms. Deepti Verma Ms. Seema Choudhary Mr. Bijo Thomas Ms. Mahua Bhattacharya Ms Ritu Batra Ms Kalyani Voleti Material Production Groups: Classes VI-VIII Mathematics : Ms Seema Rawat Mrs. N Vidya Ms Mamta Goyal Ms Chhavi Raheja Political Science: Ms Kanu Chopra Ms Shilpi Anand English : Ms Rachna Pandit Ms Neha Sharma Ms Sonia Jain Ms Dipinder Kaur Ms Sarita Ahuja Science : Dr Meena Dhami Mr. Saroj Kumar Ms Rashmi Ramsinghaney Ms Seema kapoor Ms Priyanka Sen Dr Kavita Khanna Ms Keya Gupta English : Ms. Sarita Manuja Ms. Renu Anand Ms. Gayatri Khanna Ms. P. Rajeshwary Ms. Neha Sharma Ms. Sarabjit Kaur Ms. Ruchika Sachdev Geography: Ms. Deepa Kapoor Ms. Bharti Dave Ms. Bhagirathi Ms Archana Sagar Ms Manjari Rattan Mathematics : Dr. K.P. Chinda Mr. J.C. Nijhawan Ms. Rashmi Kathuria Ms. Reemu Verma Science : Ms. Charu Maini Ms. S. Anjum Ms. Meenambika Menon Ms. Novita Chopra Ms. Neeta Rastogi Ms. Pooja Sareen Political Science: Ms Sharmila Bakshi Ms. Archana Soni Ms. Srilekha Economics: Ms. Mridula Pant Mr. Pankaj Bhanwani Ms Ambica Gulati Geography: Ms Suparna Sharma Ms Leela Grewal History : Ms Leeza Dutta Ms Kalpana Pant Material Production Groups: Classes IX-X Dr Sadhana Parashar, Head (I and R) Shri R. P. Sharma, Consultant Ms. Seema Lakra, S O History : Ms. Jayshree Srivastava Ms. M. Bose Ms. A. Venkatachalam Ms. Smita Bhattacharya Coordinators: Ms. Sugandh Sharma, Dr. Srijata Das, Dr Rashmi Sethi, E O (Com) E O (Maths) O (Science) Ms Ritu Narang, RO (Innovation) Ms Sindhu Saxena, R O (Tech) Shri Al Hilal Ahmed, AEO Ms Preeti Hans, Proof Reader CO NT E NT PREFACE ACKNOWLEDGMENT AN INTRODUCTION TO SCIENCE 1 MEASUREMENT - SYLLABUS 8 SCOPE DOCUMENT 9 ACKNOWLEDGMENT SUGGESTED VIDEOS/WEB LINK/ POWER-POINT 10 MATRIX 11 LESSON TEMPLATE 12 MEASUREMENT 16 ACTIVITY 1 19 ACTIVITY 2 20 UNIT OF MEASUREMENT 20 WORKSHEET 1 23 SYSTEM OF UNITS 23 WORKSHEET 2 26 LENGTH 26 ACTIVITY 3 27 ACTIVITY 4 29 WORKSHEET 3 32 WORKSHEET 4 32 ACTIVITY 5 33 ACTIVITY 6 34 WORKSHEET 5 36 WORKSHEET 6 39 FORMATIVE ASSESSMENT 1 40 MASS 41 ACTIVITY 7 43 WEIGHT 44 ACTIVITY 8 45 WORKSHEET 7 46 FORMATIVE ASSESSMENT 2 49 SUMMATIVE ASSESSMENT 50 RECAPITULATION 57 RUBRICS FOR ASSESSMENT FOR LEARNING 60 AN INTRODUCTION TO SCIENCE The word science comes from the Latin "scientia," meaning knowledge. Science is not only a collection of facts, concepts, and useful ideas, but it is a method of investigation and a way of knowing about nature. In other words, science is a method of discovering knowledge about nature. Science is divided into two major groups: natural sciences, which study natural phenomena (including biological life), and social sciences. which study human behavior. Science implias that the knowledge must be based on observable phenomena and must be capable of being tested for its validity.The purpose of science is to produce useful models of reality. Science 1 LEARNING OBJECTIVES FOR SCIENCE 2 1. Learn a bit about nature and the world around us 2. Learn what science has contributed to our society and culture 3. Learn what scientists do Science 4. Learn what science is and is not. 5. Children are prepared for more advanced science classes later. 6. Teach them about why pseudoscience is not science 7. Help children develop thinking and reasoning processes 8. Help children with critical thinking 9. Show them that science is part of everyday life 10. Show children that science is fun and exciting 11. Show children how arithmetic can be applied in practical situations 12. Stir children's creative and inventive sides. Science 3 The scientific method is a process for experimentation that is used to explore observations and answer questions. Scientists use the scientific method to search for cause and effect relationships in nature. In other words, they design an experiment so that changes to one item cause something else to change in an assumed way. Just as it does for a professional scientist, the scientific method will help you to focus on your questions, construct a hypothesis, design, execute, and evaluate your experiment. There are seven basic steps of a scientific method: (1) Ask a question 4 Science (2) Do a background research ( 3) Construct a hypothesis (4) Test with an experiment Science 5 (5) Analyze results (6) Draw conclusions (7) Report results Science helped mankind in innumerable ways. The scientific inventions have brought about many changes in our lives. The civilizations of the world have progressed by leap and bounds. It has helped us in countless ways to make our everyday life comfortable like: 6 Science (1) Transportation ( 2) Electricity (3) Communication ( 4) Agriculture (5) Infrastructure (6) Medical sciences To conclude we can say that science is the magical genie of today. It can do wonders for us when it is used carefully. Science 7 MEASUREMENT MEASUREMENT S Y L L A B UNITS OF MEASUREMENT v LENGTH v MASS v WEIGHT v U S 8 Science SCOPE DOCUMENT Learning outcomes : At the end of this unit, students would be able to: v Understand the meaning of measurement. v Appreciate the reasons why measurement is important in our daily life v Describe a unit v Know how to pick appropriately sized units for measuring something v Express length in metric and SI units v Learn different methods to measure the length of a given object v Learn how to use and take measurement using meter scale(half) v Understand the concept of mass and weights v Express Mass and weight in SI units v Differentiate between mass and weight v Learn different ways of measuring mass and weight Cross curricular links v Mathematics - Apply concepts of drawing, reading and interpreting length. v Language - Enriches vocabulary related to 'measurement and unit' clarifies misconcepts as mass/weight in daily use. Use of adjectives related to measurement: long, short, heavy and light. v Information Technology- PowerPoint presentation using animation skill, access supplementary resources. v Biology- Study of mass and weight, use of body parts as tools of measurement units v History - Study of early methods of measurement and their limitations, distinguish crude estimation and standard measurement units and instruments. Science 9 ACKNOWLEDGMENT SUGGESTED VIDEOS/WEB LINK/POWER-POINT NAME VIDEO CLIPS/WEB LINK/POWERPOINT Video clip1 http://www.youtube.com/watch?v=DQPQ_q59xyw&feature=related pre lesson activity Power point http://www.primaryresources.co.uk/maths/powerpoint/millionaire_ length_conversion.ppt www.wisc-online.com/objects/index_tj.asp?objid=MSR3102 Web link -1 use of ruler Video clip-2 http://www.youtube.com/watch?v=dPHwlA7OY3E&feature=related measuring with a ruler Video clip-3 http://www.youtube.com/watch?v=qS2yWhEJGZ0&feature=related basics for measuring with a ruler Video clip-4 http://www.youtube.com/watch?v=f-J-iJgUN6Q&feature=related mass Video clip-5 http://www.youtube.com/watch?v=IQ5naMTAHGM measuring mass Video clip-6 http://www.youtube.com/watch?v=ouK3hjNuTic&feature=related measuring mass Web link-2 http://www.wisc-online.com/Objects/ViewObject.aspx?ID=GCH202 reading a triple beam balance Web link-3 http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/ma ths/measures/index.htm measurements Web link-4 http://www.bbc.co.uk/skillswise/numbers/measuring/lwc/works heet14.shtml work sheet Web link-5 http://www.bbc.co.uk/skillswise/numbers/measuring/lwc/works heet16.shtml work sheet 10 Science MATRIX ACTIVITIES LEARNING OBJECTIVES Skill Activities 1 Students will learn how to measure objects (things) without using a meter scale. Estimation Activities 2 Students will learn how to measure distances using hand span. Observation & recording Activities 3 Students will learn an easy way to read the marking on a ruler (scale). Accuracy Activities 4 The students will change length measurements by jumping and throwing objects and measuring the distance between the starting point and the ending point. Exploration Activities 5 Students will learn how to measure length of a curved line using a thread. Adapt and respond to challenging situations Activities 6 Students will learn how to measure length of an irregular curved tray using a thread. Measure through Activities 7 Students will learn how to read the balance. Accuracy Activities 8 Students will learn how to make a beam balance Accuracy Science simple method 11 LESSON TEMPLATE Steps to be followed Pre-lesson activity to build the background knowledge Content development Teacher Activity Student Activity Resource- By seeing the video, students will be able to understand and relate the concept of measurement in day to day life. WATCH VIDEO CLIP- 1 Teacher will explain the concept of measurement using various examples from day-to-day life. Activity 1, and Activity 2 Teacher may explain the various methods of measuring length (without using proper scale) by performing these activities in the class. 1) Content Units of measurements Teacher may start the class with a brief discussion about the various methods of measuring distances and will explain the concept of Units. Teacher will evaluate the understanding of the various concepts of measurements related topics by taking oral quiz and the worksheets( 1 and 2) in the class. 12 2) Content http://www.primaryresources.c o.uk/maths/powerpoint/million aire_length_conversion.ppt Length Teacher may start the lesson by showing a PowerPoint presentation on length in the class. Students will be able to understand the various methods used to measure length without using a proper scale. Students will be able to answer the questions asked by the teacher based on these activities. Students will be able to answer the questions asked by the teacher after these discussions in class. Students will be able to complete the worksheet 1 and worksheet 2 in the class. Students will prepare a power-point presentation on various ways of measuring distances. Students will be able to understand the concept of length with the help of the ppt. Science Content development Activity 3 Measuring Length ( Straight line using the broken ruler) www.wisc- Teacher would explain how to use ruler correctly with this activity. Students will learn how to find length, of a specific object, using the ruler. online.com/objects/index_tj.asp ?objid=MSR3102 http://www.youtube.com/watc h?v=dPHwlA7OY3E&feature=re lated Students will find the length of various objects using the broken ruler. http://www.youtube.com/watc h?v=qS2yWhEJGZ0&feature=rel ated Teacher may take few examples from day to day life, by performing the activities and showing the videos to explain this concept in class. Concept attainment Content development Measuring Length ( curved line) Science Students can prepare a power point presentation on these topics. Activity 4 Students will perform this activity in class which will help them to understand the concepts clearly in terms of length, weight & volume or capacity After performing the activity (4), Students will be able to complete the worksheet A in the class. Teacher will evaluate the understanding of the "measuring length" by the worksheets (3 and 4) in the class. Students will be able to complete the worksheet 3 and 4 in the class. Activity 5 Students will be able to answer the questions asked by the teacher after this activity in class. Teacher will explain the concept of measuring the length of a curved line with the help of this activity in the class. 13 Concept attainment Activity 6 Formative Assessment and evaluation of this subtopic Teacher will evaluate the understanding of the various concepts of measuring length of various objects (straight line and curved line) and other related topics. Content development http://www.youtube.com/watch By seeing the videos, students ?v=f-J-iJgUN6Q&feature=related will be able to understand and Teacher may start the lesson with relate the concept of mass and weight in day to day life. this video. Mass http://www.youtube.com/watch ?v=IQ5naMTAHGM Students will perform this activity in class, which will help them to understand the concept of "finding the length of a curved line" properly. Students will be able to complete the worksheet 5 and 6 in the class. Students will complete the Formative assessment 1 in class. http://www.youtube.com/watch ?v=ouK3hjNuTic&feature=related Teacher may explain the various concepts related to these topics using the videos and the activities. Weight http://www.wisc -online.com/Objects/ViewObject. aspx?ID=GCH202 Students will be able to complete the worksheet 7 in Teacher would explain students the class. how to measure mass using a weighing balance and making a Students can prepare a power point presentation on mass simple balance in the class. versus weight. Activity 7 and Activity 8 14 Science Formative Assessment and evaluation of this subtopic Teacher will evaluate the understanding of mass measurement of various objects. Revision and Revision done in class Assessments Science Students will complete the Formative assessment 2 in class. http://www.bbc.co.uk/skills http://www.bgfl.org/bgfl/custo wise/numbers/measuring/l m/resources_ftp/client_ftp/ks2/ wc/worksheet16.shtml maths/measures/index.htm http://www.bbc.co.uk/skills Teacher may revise the entire topic wise/numbers/measuring/l wc/worksheet14.shtml with this video in the class 15 MEASUREMENT Introduction Why Measurement is Important in our day-to-day life? Measurements are so often taken for granted. Most of the times we do not appreciate the grand importance of measurement in our life. Basically, measurement is discussed in terms of length, area, volume, mass, temperature and so on. 16 1. Purchasing clothes. Clothing is all based on size and proper fitting which are, of course, variants of measurement of length. 2. Intake of medicine when ill. During treatment of illness doctors prescribe time interval and dosage of medicine to be taken by the patient. This dose is the measure of the potency and the quantity of a specific medicine. Proper amount of medicine is different for children and adults. It is important to take adequate amount of medicine to get cured. Science 3. Cooking properly. Cooking of all forms is based on proper attention to measurement. What will happen if potatoes are baked at 600 degrees? Could you make a cup of tea by dipping a tea bag into a teaspoon of warm water? 4. Playing sports.- It is amazing to find out that any kind of sport that people play involve the measurement of distance, time ,mass and so on. These are the variants of measurement. They can be used in different combinations. Measurement is the most basic level of scientific observation. Anyone can observe a planet, a sunset, the road ahead, the day just past, and give a description of it. But to know it better, one must determine its extent and limits. Scientific method attempts to use information that can be seen by others also. It uses instruments such as a measuring cylinder, 'weighting' machine measuring tape etc. to communicate information as a fact. Measurement is not based on a individual belief but the belief of the scientists put together. Science 17 Measurement is the process of determining the magnitude (value) of a quantity, in term of length or mass, relative to a Unit of measurement, such as, a meter or a kilogram. The word measurement stems, via the Middle French term mesure, from Latin mensura, and the verb metiri. Metrology is the science of measurement. Every measurement consists of two parts- a number and a unit. All measurements do have four things in common: 1. It has a starting point or origin. Where is the zero? The starting point can be decided at the beginning and called as 'zero'. The location of zero can be quite arbitrary. This means it need not be fixed as absolute for all situations but you need to have it somewhere. For example, on the highway, zero can be the railway station, bus depot or an airport of the city. Once we all agree, that's where the zero is. Most scales have zero on their left or lower end. It is not necessary to have zero there always. It is important to remember that zero DOES have to BE…somewhere. We can change the place of zero but cannot remove zero. This concept of zero was given by 'AryaBhatta' who was born in India in the 4th century. 2. It has a positive direction. Which way do we go to get to 1, or a hundred? Left, right, up, down, along the incline, around the circle etc. Some direction has to be declared for measurement to be done. 3. It needs a unit of measurement. This is needed to make the required comparison. For example, Inches, Feet, mile, centimeter, meter, kilometer etc are some of the units to measure the length. Here, a unit is like a name of the quantity/ amount. 18 Science 4. Finally, no measurement ever made is perfect. There is no absolutely precise measurement. The reason is that the measuring instruments keep improving from time to time. No perfect instrument is prepared as yet. There is always a scope to make it better still.This is exactly the way science progresses . We can, then, state that measurement is an attempt made by human beings to know things in an accurate way as far as possible. All measurements are some number say N, plus or minus some (hopefully minior) error or uncertainty. For eg: 4 ± 0.25 or 8.5 ± 0.01 here, number X are 4 or 8.5 and error are .25 or .001, which are very small. When we change our measuring device or just use a scale that was made systematically larger than it should have been, our reading of measurement will change accordingly. Concept Development ACTIVITY : 1 Aim: To measure the length of your study table without using a metre scale. Learning outcome: Students will learn how to measure objects without using a metre scale. Students will notice that role of estimation in measurement Materials required: Matchstick and the study- table Method: Let us assume that the length of the match stick is equal to our unit of length. Place the end of the matchstick at one edge of the table and mark a point at the brown tip of the stick. Now lift the matchstick and place its end on the marked point and again mark the position of its brown tip. Continue doing so till you reach the other end of the table. Say, you have covered the table length by repeating this process 24 times. Then the length of the table is equal to ten times the length of the match stick. Science 19 ACTIVITY : 2 Aim : To measure the length of the teacher's table with the help of a hand span. Learning outcome : Students will learn how to measure distances using a different method, here, a hand span. Materials required : Teacher's table. Method : Take hand span as the unit of length. Measure the length of the table by using your hand span and record it. Now ask one of your friends to measure the length of the table with his hand span. Repeat this procedure with ten students. Note down all the observation in a table. You will be surprised to note that the number of hand spans required in each of the cases is different though the length of the table remains the same. UNIT OF MEASUREMENT Content Development Let us observe what happens when you estimate a distance by counting the number of steps required to cover that distance? Alternately,you could use the width of your hand, or the distance from your elbow to a fingertip to compare two dimensions. You would be surprised to know that during the measurement of distance, you got engaged in what is probably the first kind of measurement ever undertaken by primitive mankind. Primitive men used primitive ways to measure quantity. 20 Science The results of a measurement are always expressed on some kind of a scale that is defined in terms of a particular kind of unit. The first scales of distance were related to the human body, either directly (the length of a limb) or indirectly (the distance a man could walk in a day). A unit of measurement is a definite magnitude of any quantity that is used as a standard for measurement of the same physical quantity. Any other value of the physical quantity can be expressed as a simple multiple of the unit of measurement. Units of measurement were among the earliest tools invented by humans For example, length is a physical quantity. The metre is a unit of length that represents a definite predetermined length. When we say 10 metres (or 10 m), we actually mean 10 times the definite predetermined length called "metre". The measurement of a quantity is done by comparing it with some standard called "unit". A unit, therefore, is any measure of that quantity, which is accepted as one unit of that quantity. A quantity (R) is expressed as the product of a number (number of times in comparison to the standard) and the name given to the unit or standard. R = n x (name of unit) R = nu We can have a look at any of the physical quantities that we use in our everyday life: 5 kg of sugar, 100m of cloth, 10 l of water and so on. The pattern of all these quantitative expression follows the same construct as defined above. (1) Hand Span The distance from the tip of the thumb to the tip of the little finger on your outstretched hand Science 21 (2) Cubit Cubit is the distance between thumb, or another finger, to the elbow on an average person. It is about 45 cm or 18 inches. How many cms make an inch ? (3) Pace The pace is the distance spanned by a step .It is about 30 inches (0.76 meter). (4) Foot It equals the average length of a foot. 1 unit of foot is about 12 inches. 22 Science WORKSHEET : 1 Complete the blanks after performing the activities in the class. 1. Measure the distance between the two ends of your desk with the help of your hand span. Number of hand span-________ 2. Measure the distance between the two ends of your desk with the help of your cubit. Number of cubits-__________ 3. Measure the distance between the two opposite walls of your class room using pace. Number of paces- ________ ` 4. Measure the distance between the two ends of the class black board with the help of your hand span. 5. Measure the distance between the two opposite walls of your class room using foot. Number of feet- ________ SYSTEM OF UNITS The eighteenth century was a time of great beginnings in science. However, by the end of the century, scientists found that their system of measures was increasingly burdensome. Measurements such as the foot were not well standardized and made it hard to communicate observations. A system that allowed scientists to reproduce and verify each other's data was needed. The metric system was developed to fulfill this need. The system's basic unit for measuring length was called the meter, after the Greek word matron meaning "measure." Now a days the General Conference on Weights and Measures, or CGPM (Conference Générale des Poids et Mesures), has responsibility for these decisions. Science 23 The 11th General Conference on Weights and Measures in 1960 made some of the most important recent revisions to the universal measurement system. A meter was defined as the distance light travels in a small fraction of a second. A kilogram was reaffirmed as the mass of a block of platinum-iridium kept in Paris. The International System of Units was renamed System International d'Units and the new "modernized" metric system was given the official symbol SI. The SI units for the three basic physical quantities: length, time and mass are: v metre (m) :SI unit of length v second (s) :SI unit of time v kilogram (kg) :SI unit of mass The needs for adopting SI system as international system are two fold. A First, this system is based on the powers of 10. A Second, there is a well-structured set of prefixes to represent the vast range of measurements associated with a physical quantity. The "power of 10" makes it easy to change smaller to bigger unit and vice versa. A mere shift of "decimal" does the job. 12.0 mm (smaller) = 1.20 cm (bigger) Finally, SI system has a set of prefixes for a given unit to represent smaller or bigger quantities. This set of "prefixed" represents a predefined factor in terms of the power of 10. Prefix factors 10-15 10-12 10-9 f p n 10-6 10-3 10-2 10-1 101 10-2 103 106 µ m c d da h k M 10-15 1012 1015 G T P Figure 1: The factors are powers of 10. 24 Science f= fermi da=deca p=picco h=hecta n=nano k=kilo ?=micro M=mega m=mill G=giga c=centi T=tera d=deci Sum of the commonly used prefixes of metric units: Abbreviation Full form Meaning Equivalent mm millimetre One thousandth of a metre 10 mm = 1 cm 1 000 mm = 1 m cm centimetre One hundredth of ametre 100 cm = 1 m m metre km kilometre 1 000 m = 1 km One thousand metres 1 000 m = 1 km Example: How many centimeters equal 2.35 meters? 1. The new unit (centimeters) is smaller than meters. Therefore, the new quantity must be larger. 2. The decimal must move right. 3. The multiplication factor exponent for meter = 0, multiplication factor exponent for Centimeter = -2. Difference without regarding sign = 2. 4. Science Therefore, the decimal moves right two places. The new quantity = 235 centimeters. 25 WORKSHEET : 2 (1) 3.45 milligrams = _______________ grams (2) 3.004 meters = _______________ centimeters (3) 112.3 grams = _______________ kilograms (4) 6567.09 millimeters = _______________ centimeters (5) How many centimeters are in a kilometer? _______________ centimeters LENGTH CONTENT DEVELOPMENT Length is a straight dimension of an object, or is the (straight) measurement between the two ends. How to Measure Length When choosing the suitable unit for measuring you need to consider: What is being measured - for example is it long or short? v The instrument used to measure the length. For example suppose we want to v measure the length of a notebook we can use a ruler but to measure a length of a football ground we have to use measuring tape. What unit will give you the smallest number of whole digits? for example it is v easier to write 4 m rather than 4000 mm. 26 Science Units of Length The common units to measure length are metre, inch, foot, yard, mile etc. People use "foot" to measure their height. Construction worker and architects use feet to measure walls, floor, and ceilings. A standard doorway is about a yard in width. A man six-foot tall is 2 yards high. Distances between cities are measured in kilometers or miles. Metre ruler The metre rule is used to measure lengths of a few centimeters to a meter. Measurement is accurate up to 0.1 cm. The divisions, on the meter rule , divide each cm into 10 parts. Each division is equal to 1 mm as 10 mm = 1 cm. We can use a meter rule to measure the length of a pencil, the width of a booklet, the extent of a hand span and so on. ACTIVITY : 3 Aim : Method to read a Ruler Learning outcome : Students will learn to observe how to read markings on the ruler carefully . Materials : Ruler Science 27 Method: (1) Notice the two sets of lines on the metric ruler. Examine the first set of lines. They are longer than the second set and farther apart. They are also numbered. These lines are referred to as centimeters, or cm. (2) Next ,examine the second set of lines. These lines are shorter and close together. The second set of lines falls within the first, which is a larger set of lines. These lines are referred to as millimeters, or mm. 10 millimeters make up one centimeter. (3) Choose a small object to measure, such as a small pencil. Line the object up to the edge of the beginning of the ruler. (4) Locate the last marking on the ruler that the object touches. This number indicates the length of the object you chose to measure. (5) Locate the last centimeter line (mark) that the object passed, or is touching For example, if you measured your pencil and it ended on the 8 cm mark, then it is 8 cm long. If, however, it landed before 8 cm mark, then write down 7 cm and if it passes 8 cm mark write 8 cm. (6) Count the small lines (marking) that remain after the last centimeter line. For example, if your pencil reaches nine small lines after the 7 cm mark, you would count 9. This is how many mm you need to include in your measurement. (7) Record your measurement down on paper. Write the cm first, and the mm second. For example, your pencil that passed the 7 cm mark by 9 small mm you would read 7cm and 9 mm long i.e. 7.9cm. 28 Science Concept attainment ACTIVITY : 4 Aim : Students will be able to measure length by millimeter, centimeter and meters to measure and change one unit of length to another. They will be able to compare and relate different units to measure length of an object. Objective : The students will change length measurements by jumping and throwing objects and measuring the distance between the starting point and the ending point. Materials: Butter paper, marking tape, Ink pad, Paper towels, Yard Sticks, Balloons Method: Formation of Teams 1. Students will be put into 4 different groups. 2. The class will count off 1,2,3,4 until all students have counted off. 3. All students who are allotted to number 1 will be in the 1st group, number 2 will be in the 2nd group, and so on. 4. Let each group assign a name to itself. Encourage them to select a name that in related to the activity they are to perform. Presentation of the Content A. Introduction 1. Explain the relationship between millimeter , centimeter and meter. 2. Explain how to convert different units of measurements of length. 3. Explain the process of computations to be carried out in the worksheet. Science 29 B. Development 1. Explain how groups will rotate into four different centers. 2. Explain the general rules and tell them that each individual game will have its ownset of rules. 3. Students within the group will need to help other members when measuring different objects, solid and liquid. C. Guided Practice 1. The teacher will facilitate the students to carry out the activity as a team. 2. Make sure that the students are recording all their measurements properly. Evaluation: The students will be evaluated on the group's teamwork effort and on their individual worksheet. Their computations and conversions must be accurate. Games v Long Jump 1. With feet on starting line, long jump as far as possible. 2. Measure the distance from starting line to the closest place to that your body touched. v Air Leap 30 1. Mark your index finder using the ink pad. 2. Reach as high as your can and mark the paper. This is your base mark 3. Remark your index finder using the ink pad. Jump up and mark as high as you can. This is your jump mark. 4. Measure the distance between the base mark and the jump mark and record the distance. Science v Balloon Throw and Airplane Throw 1. With feet on the starting line, throw the air filled balloon or paper airplane as far as possible. 2. Measure the distance from where the balloon or airplane first hits the ground to the starting line. Worksheet A millimeter centimeter meter Air Leap Long Jump Balloon Throw Airplane Throw Science 31 WORKSHEET : 3 Metric Body Measurements 1. My hand span: ______ cm (measure outstretched hand between tip of thumb and tip of little finger) 2. The width of my _____________ fingernail: ____ cm or ____ mm 3. The width of the back of my hand: ________________ cm 4. My foot _________________ cm 5. My height _____________ cm. WORKSHEET : 4 Use a ruler to measure the length and the breadth of the pictures: Length =__________________ cm Breadth = __________________ cm Diameter of the face =_________________ cm Diameter of the eyeball =_______________ cm Distance between the wheels ____ cm of this toy car in the given figure. 32 Science Height __________________ cm of the Christmas tree shown in the figure Width __________________ cm of the Christmas tree shown in the figure Length = __________________ cm of the worm in the given figure Height = __________________ cm of the worm in the given figure Concept Development ACTIVITY : 5 Aim: To measure the length of a line which is not straight i.e. a curved line using a thread. Learning Outcome: Students will learn how to measure the length of a curved line using a thread. Materials required: a curved line drawn on a plane sheet of paper, a thin but strong cotton thread, some common paper/board pins, a scale/meter rule, scissor and a drawing board. Method: Keep the plane (white) sheet of paper on a drawing board and fix the paper properly on the board with the help of board pins. Draw a curved line on the paper. Fix some common pins on the curved line. A, B …F etc. are the pins fixed on the curved line. Now tie a knot with the thread at the pin A. Using fingers of both hands move the thread along the curved lines such that it goes around pins B, C... upto F. Care should be taken that the thread is neither too tight nor too lose when moved along the curved line. When the thread reaches the extreme i.e. end F of the curved line, cut it from that point with the help of a scissor. Science 33 Remove the thread from all the pins and then place it straight along the length of a metre scale. Note down the length properly from the metre scale. If the reading is 13cm, then the length of the curved line is 13cm. D A E B F Fig: C A CURVED LINE (AF) Concept Attainment ACTIVITY : 6 Aim : To measure the length of an irregular curved tray using a thread. Learning Outcome : Students will learn how to measure length of an irregular curved tray using a thread. Materials required : A tray, drawing board, pins thread and a meter rule. Method : Place a tray with a curved edge on a drawing board. Fix pins vertically on the board whenever the edge of the tray changes direction. Make a knot at one end of a piece of the thread. Pierce a pin through the knot and fix the pin at one end of the curved edge of the tray on the board. Stretch the thread along the pins, and mark it with a pen where it touched the last pin. Fig: Irregular curved tray 34 Science Measure the length of the thread from the knot to the end marked by stretching it along a meter rule. This is the approximate length of the curved edge of the tray. Proper position of the eye While taking any observation (for example a length of an object) the eyes should be placed in such a way that it lies perpendicular to the reading of the scale. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Incorrect Incorrect position position Correct position of the eye: of eye of eye Reading from a point perpendicular to the scale (directly in front of it) Science 35 WORKSHEET : 5 Choose a suitable unit for measuring the given objects Objects mm (millimetres)/cm (centimetres)/m (metres) BOOK COIN PHOTO FRAME SOFA 36 Science PLAY GROUND KEY SPECTACLES RING SHIP Science 37 INSECT CELLOPHONE Man TOOTH BRUSH 38 Science WORKSHEET : 6 Select the optimum unit (meters (m) or centimeters (cm) to measure the following:(1) Length of a study table. (2) Length of a pencil. (3) Height of your roof. (4) Length of a tennis court. (5) Thickness of a notebook. (6) Depth of a swimming pool. (7) Length of a car. (8) Radius of a cycle wheel. (9) Height of a tree. (10) Width of a park. Note : Science For the teacher, before beginning the worksheet b, ensure that the students have a clear understanding if the object is real or the responses may vary in that case. 39 FORMATIVE ASSESSMENT : 1 1. Write the S.I. unit and its symbol for measuring the length of a pencil box length:__________ 2. The length of a pencil measured by a metre rule is recorded as 6.75 cm. What is wrong with this recording? 3. Observe the figure given below. Find and write what is out of place in it. Suggest the way to correct it. 40 4. Find the length of the pencil from the figure given below. 5. Why is the hand span not considered as a reliable unit for measuring the length ? Science MASS Concept Development The mass of a body is the quantity of matter (or material) contained in it. It is denoted by 'm'. The standard unit of mass is kilogram. It is denoted by 'kg'. A physical balance commonly measures the mass of an object. For Example: A packet of tea weighs 100g A bag of sugar weighs 1kg These are different measurements of mass. Science 41 A body contains the same quantity of matter wherever it is - whether on earth, moon or even in space. So, mass of an object is same everywhere. For example if the mass of an object is 5 kilograms on the earth then it will have the same mass of 5 kilograms even if it is taken to any other planet or moon or in space. Thus ,the mass of a body or object is a constant and does not change from place to place. Unit of mass: In the International System of Units (SI), mass is measured in kilograms (kg). The SI unit for mass is the kilogram. Kilogram means one thousand grams. It can be abbreviated as kg or kilo. The unit of gram can be abbreviated to g, earlier, it was gm. 1 kilogram = 1000 gram 1 gram = 1000 milligram 1 quintal = 100 kilogram 1 ton = 1000 kilogram Measurement of mass To measure mass of an object, a physical balance and various (standard) weights are used. Physical balance used in labs Beam balance 42 Common balance used in grocery shop Science The picture given below shows some of the weights used for measuring the mass of things.Our body is also a thing in this respect. ACTIVITY : 7 Aim: Reading a compact portable balance. Learning Outcome: Students will learn how to read the balance carefully and properly. Materials required: Potatoes and compact portable balance (like the one shown here) Method: Keep some apples in the v weighing pan. The pointer on these scales is v between two divisions, 0 g and 100 g. There are 20 divisions between v these two values. Each division is 50 g The pointer is 5 divisions from 0. v The mass of the potatoes is 250 g. v Science 43 WEIGHT Concept Development Weight is the force with which an object is attracted towards the center of the earth. It is the product of mass and a special quantity called the acceleration due to gravity. W = mg where 'm' is the mass of the body and 'g' is the acceleration due to gravity. The acceleration due to gravity changes from place to place. Hence weight changes unlike mass, which always remains constant. The SI unit of weight is newton. The weight of on object is measured with a spring balance also known as force meter or Newton meter. The spring balance gives the weight of an object because the extension of the spring depends on the force with which it is pulled downwards by the earth. Mass Weight 1. Is measured using beam balance Is measured using a spring 2. Can never be zero Can also be zero 3. Is always a constant at any place and time Depends on the value of acceleration due gravity at the place 4. Is an intrinsic property of a body and Depends on is independent of any external factor. 1. Mass of the object 2. Force with which it is being attracted (which in turn depends on the where the object is located 5. Is measured in kilograms in SI unit 44 Is measured in newtons Science ACTIVITY : 8 Aim : Making a Beam-Balance Learning Outcome : Students will learn how to make a beam balance MATERIALS: Stand to hang the balance v Ruler with holes v Paper clips to attach pieces v Paper cups v One rupee coins and some 50p coins v Hole puncher (to hook the cups) v Marking tape (to add to rulers in order to evenly balance the empty cups) v Method: 1. Students make balance, using masking tape to ensure the empty cups actually balance and to hold the paper clips in place if the rule has slots or large holes. 2. They compare test objects according to weight, determining only the relative weight. 3. They select a "standard" (such as a coin or a paper clip) and "weigh" the test objects, recording the weights in their given units (3 one rupee coins +/- a 50p coin). 4. They compare their weights with the true standard. Science 45 WORKSHEET : 7 (1) Circle the object that is heavier. (2) Circle the object that is lighter. 46 Science Science 47 (3) Estimate how much the object weighs. Circle your answer . 26 grams 48 12 kilograms 33,289 grams 12 grams 33,289 kilograms 9 grams 918 grams 4 kilograms 48 kilograms 1,728 grams 1 gram 30 kilograms 30 grams 22 kilograms 2 kilograms Science FORMATIVE ASSESSMENT : 2 1. Complete the information about mass and weight. Mass Weight What does it measure Its SI unit is… Name the Device used to measure and how it works 2. Without sharing information students determine the mass of a nail, as shown in the figure below ( you can get the nail from a carpenter), using as many different balances as possible like beam balance, spring balance and digital balance available in the lab. Then enter the measurements below: Name of the student Types of balance recorded mass Beam Balance Spring Balance Digital Balance As a group, discuss the data. Are all the measurements (mass of the nail) the same? Why/why not? v ______________________________ If the mass is different then calculate the average mass? v ______________________________ Science 49 3. Measure the mass of the given objects in gm using a beam balance in the lab. Then convert the masses into kg and mg. Object measured mass g mass in kg mass in mg A small coin small paper clip large paper clip marble Pencil calculator SUMMATIVE ASSESSMENT 1. What is a standard unit? 2. Earlier, people used body parts to measure length. Why it is not considered an accurate way? 3. What is a beam balance and for what purpose do we use it? 4. Which three points must be kept in mind while measuring the length of an object with the help of a ruler? 5. How will you measure length using a broken ruler? Draw and explain. 6. You are given a curved tray and asked to measure the length of a tray with the help of a string. How will you do it? Explain with the help of a diagram. 7. Teacher has given this curved line to Anil and has asked him to find the length of this line. (a) Which are the methods he can use? (b) Describe them. 50 Science 8. Mention the SI unit of length and mass. 9. Name the unit of length which you will find most convenient in the following cases. a. Expressing the distance between Delhi and Agra b. Expressing the length of your pen c. Expressing the thickness of the eraser. d. Length of your Science book. 10. Which is heavier a kg of feathers or a kg of lead? 11. How long is the nail _____? 12. Name the body part scale in the blank space. Science 51 Metric Unscramble Event 1. magr ___________________ 2 ermte ___________________ 3. olmagrki ___________________ 4. icermteed __________________ 5. nitermtece _________________ 6. olermteki _________________ Check points: Fun with measurement 1. A gram is about the weight of: (a) _____ an apple (b) _____ a small coin (c) _____ a pineapple 2. A meter is about the height of: (a) _____ a door (b) _____ a kitchen counter, or a doorknob (c) _____ the seat of a chair 3. A newborn baby weighs about: (a) _____ 3 kilograms (kg) (b) _____ 30 kg (c) _____ 300 kg 4. The height of a tall man is about: (a) _____ 20 centimeters (cm) (b) _____ 200 cm (c) _____ 2000 cm 52 Science Write True and False against the statements given below : 1. A centimeter is one-hundredth of a meter. ______ 2. One kilometer is equal to 1000m. ____ 3. One meter is equal to 10 cm. _____ 4. The approximate length of a Photographic film is 10cm. _____ 5. The approximate thickness of a dinning table is 1 millimeter. _____ Metric Crossword Puzzle (Questions) Test your metric knowledge with this crossword puzzle Try ten clues across and ten clues down. Across Across 3. The U.S. Metric Conversion Act calls for a __________ conversion. 1. The word used to describe the inch pound s.ystem. 6. The nation in which the inch pound system was developed. 2. The nation where the metric system was developed. 7. The symbol for milliliter. 4. A small unit that measures mass (or weight) 8. The symbol for contimotor. 5. One thousandth of a liter. 9. The prefix for one length. 10. degree ___________. 11. One thousandth of a gram. 11. The symbol for 1/1000 of a gram. 13. One thousand meters. 12. The base unit of length. 15. One thousand meters. 14. The prefix meaning 10 17. The prefix for one-hundredth. 16. The prefix meaning one million. 19. The symbol for kilogram. 18 One thousand kilograms = 1 metric _____________. Science 53 Metric Crossword Puzzle 1 2 3 4 5 6 7 8 9 10 13 12 11 14 15 17 16 18 19 Circle the appropriate unit of measurement to measure the length of the following: 1. 2. 3. 4. 5. 54 Length of your pencil a. millimeter b. centimeter Length of your bed room a. centimeter b. meter Length of your book a. centimeter b. meter Length of your toothbrush a. millimeter b. centimeter Length of a cupboard a. centimeter b. meter Science 6. 7. Length of your shoe a. millimeter b. centimeter Length of your face a. millimeter b. centimeter Multiple choice questions1. 2. 3. Which of these statements is correct? a. A kilogram is one gram b. A kilogram is ten grams c. A kilogram is ten thousand grams d. A kilogram is one thousand grams Annie plans to reduce her weight without dieting. She wants to eat and digest the food with regular exercise schedule. What metric unit of measurement should she use to weigh herself each week? a. gm b. kg c. cm d. m Annie joins a gym where she weighs herself. Look at the reading on the scales. How much does she weigh? a. 80 kg b. 82 kg c. 820 kg d. 83 kg Science 55 4. 5. 6. Four parcels weigh 2.08 kilograms, 2.806 kilograms, 2.8 kilograms and 2.86 kilograms, respectively. Which is the heaviest parcel? a. 2.08kg b. 2.806 kg c. 2.8 kg d. 2.86 kg A girl wants to bake a cake and the recipe states that she needs nine hundred grams of apples. What would the reading be on a set of digital scales for this weight? a. 90 g b. 900 g c. 90 kg d. 900kg Annie has weighed a tin of potatoes on some digital scales. What is the reading? a. 1172 kg b. 11.72 kg c. 1.271 kg d. 1.172 kg 7. 56 Which is the shortest distance? a. 5 kilometres b. 5000 millimeter c. 5 miles d. 480 centimeter Science 8. Which of these would you prefer to measure in millimetres? a. The distance from Manchester to London b. The width of a button c. The distance from your front door to your bedroom d. The length of your bed. 9. How many grams are there in 1.8 kilograms? a. 180 b. 1080 c. 1800 d. 1080 10. Which weighs more? a. A kilogram of feathers b. A kilogram of rocks c. A kilogram of iron d. All have same weight RECAPITULATION KEY WORDS: Measurement v Mass v Unit v Weighing scale v Hand span v Weight v Cubit v Newton v Pace v Kilogram v Length v Gram v Metre v Science 57 Key words: Measuring instruments measuring instruments Measuring instruments are used to measure, quantity of length, weight and volume or capacity. For example; a measuring tape , a weighing scale or a jug. scales All measuring instruments have scales (markings). You read off a scale to find the length, weight or capacity of objects. Division This is the individual marking on the scale. For example, a 30 cm ruler will be divided into divisions with marked centimetres and unmarked millimetres. Top tip: Here are their meanings. millimetre - the prefix milli means one thousandth millilitre - a millilitre is one thousandth of a litre centimetre - the prefix centi means one hundredth. a centimetre is one hundredth of a metre. kilometre - the prefix kilo means one thousand kilogram - a kilogram is one thousand grams Choosing the measuring unit Here is a summary of the different metric units any one can use: 58 Science Physical Quantity Abbreviation Full form Length mm millimetre cm centimetre m metre km kilometre g grams kg kilograms Mass Points to remember: v Measurement is the process or the result of determining the magnitude (value) of a quantity, by comparing it with a known given quantity of the same type. v A measurement has two parts- a number and the unit of measurement. v A Standard unit is a standard or a fixed measure of a physical quantity. v Scientists all over the world use the International System of Units, in which the unit of length is a meter and mass is a Kilogram. v While measuring length, (a) Place the ruler exactly along the length. (b) Position your eye exactly above the point where you make the measurement (c) Do not use the zero mark if the ends of a ruler are worn out. v The mass of a body is the quantity of matter (or material) contained in it. v Weight is the force with which an object is attracted towards the center of the earth. Science 59 RUBRIC FOR ASSESSMENT FOR LEARNING A. Parameter Beginning Learner is able to (1) Partially Proficient (2) Proficient Exemplary (3) (4) Identify various modes of transport. Identify the body parts used as measuring units. Differentiate between Various type of units used to measure length. Calculating the length of a straight line and a curved line. Proper use of a ruler for measuring length. Proper way to read all the measuring devices. B. POWERPOINT PRESENTATION ELEMENT Beginning (1) Partially Proficient (2) Proficient Exemplary (3) (4) Research and Note taking Introduction of the topic Content and text Layout Graphics, Sound and/or Animation Graphics, Sound and/or Animation 60 Science
© Copyright 2026 Paperzz