Anonymous

Changes

From Karnataka Open Educational Resources
188 bytes added ,  09:06, 13 December 2013
no edit summary
Line 40: Line 40:  
==Concept #1. What is Mensuration ?==
 
==Concept #1. What is Mensuration ?==
 
===Learning objectives===
 
===Learning objectives===
# The students learn that mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume.
+
# Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume.
 
# Students will learn and understand that it is important to know how to measure things.
 
# Students will learn and understand that it is important to know how to measure things.
 +
# There are standard and non-standard ways of measurements.
 +
# Importance of having standardised measurements.
 
# The length of the total boundary of a figure is called its perimeter. The Metric unit of perimeter is same as the unit of length - Metre.  
 
# The length of the total boundary of a figure is called its perimeter. The Metric unit of perimeter is same as the unit of length - Metre.  
# The perimeter of 2D geometrical figures like quadrilaterals can be obtained by calculating the sum of all the sides of the figure.
   
# The amount of surface covered by an object is called it area. The Metric unit of area is square metre.  
 
# The amount of surface covered by an object is called it area. The Metric unit of area is square metre.  
 
# The capacity of an object to hold is called its volume.
 
# The capacity of an object to hold is called its volume.
Line 49: Line 50:     
===Notes for teachers===
 
===Notes for teachers===
Measurement are an important part of our everyday life.  Think about your day; you probably made some measurements.Perhaps you checked your weight by stepping on a scale,measuring shoes to fit your feet in the shoe store, or saw measuring up houses when they are doing renovations etc. If you did not feel well, you may have taken your temperature. To make some soup, you added 2 cups of water to a package mix. If you stopped at the Petrol bunk, you watched the petrol pump measure the number of litres of petrol you put in the car.
+
Measurement are an important part of our everyday life.  Think about your day; you probably made some measurements. Perhaps you checked your weight by stepping on a scale,measuring shoes to fit your feet in the shoe store, or saw measuring up houses when they are doing renovations etc. If you did not feel well, you may have taken your temperature. To make some soup, you added 2 cups of water to a package mix. If you stopped at the Petrol bunk, you watched the petrol pump measure the number of litres of petrol you put in the car.
 
Measurement is an essential part of every aspect of life. The temperature, height, and weight of a patient are measured and recorded.Samples of blood and urine are collected and sent to a laboratory where glucose, pH, urea, and protein are measured by the lab technicians.By learning about measurement, you will develop skills for solving problems.
 
Measurement is an essential part of every aspect of life. The temperature, height, and weight of a patient are measured and recorded.Samples of blood and urine are collected and sent to a laboratory where glucose, pH, urea, and protein are measured by the lab technicians.By learning about measurement, you will develop skills for solving problems.
   Line 77: Line 78:  
==Concept #2.Informal units of measurements ==
 
==Concept #2.Informal units of measurements ==
 
===Learning objectives===
 
===Learning objectives===
#  The students understand that informal ways of measurements are a type of measure which uses non-standard units such as hand spans, armlengths, footsteps or pattern blocks to measure length, area, etc.
+
#  The students understand that traditional ways of measurements are a type of measure which uses non-standard units such as hand spans, armlengths, footsteps or pattern blocks to measure length, area, etc.  
# They comprehend that estimate and informal measurement are interchangeable terms.
+
# They realise that non-standard measurements are not always the same but vary from person to person.
# They realise that informal measurements are not always the same but vary from person to person.
      
===Notes for teachers===
 
===Notes for teachers===
# The teacher can ask the students to gather information regarding earlier informal measuring ways from their elders and have an initial discussion in the classroom.
+
# The teacher can ask the students to gather information regarding earlier traditional measuring ways from their elders and have an initial discussion in the classroom.
 
===Activity No # 1. Estimating distances===
 
===Activity No # 1. Estimating distances===
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
Line 91: Line 91:  
*Materials/ Resources needed : Sticks, ropes, writing pad, pencil.
 
*Materials/ Resources needed : Sticks, ropes, writing pad, pencil.
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
# The students should have been introduced to different forms of informal measurements.
   
# They should have the ability to measure and document their findings accurately.  
 
# They should have the ability to measure and document their findings accurately.  
 
*Multimedia resources  
 
*Multimedia resources  
 
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
 
*Process:
 
*Process:
# The teacher can ask the students to determine the distances of library, principal's room, playground, dining hall, entrance gate from their classroom using various informal measuring methods.
+
# The teacher can ask the students to determine the distances of library, principal's room, playground, dining hall, entrance gate from their classroom using various non-standard measuring methods.
 
# The children can decide which method to use - whether foot, sticks or ropes.
 
# The children can decide which method to use - whether foot, sticks or ropes.
 
# The task can be done in groups of 3 children.
 
# The task can be done in groups of 3 children.
Line 116: Line 115:  
*Question Corner:
 
*Question Corner:
 
# How can we measure curves?
 
# How can we measure curves?
# What are the problems with informal measuring units?
+
# What are the problems with non-standard measuring units?
 
# Can we think of methods to measure so that measures taken by anyone would always be same for a given object or distance.
 
# Can we think of methods to measure so that measures taken by anyone would always be same for a given object or distance.
   Line 135: Line 134:  
==Concept #3. Standard units of measurements==
 
==Concept #3. Standard units of measurements==
 
===Learning objectives===
 
===Learning objectives===
# They should understand that there is no natural unit for the measurement of surfaces. It is necessary to fix upon an artificial unit and that , that artificial unit is a square. To find the area  of a surface is to find how many times this measuring unit can be applied to or is contained times in the given figure.
   
# It is essential for students to have an understanding of the units used to measure .
 
# It is essential for students to have an understanding of the units used to measure .
 
# The students should understand that no matter what field of science they enter, they will need to take measurements, understand them, communicate them to others, and be able to repeat them. In other words, all have to speak the same basic language.
 
# The students should understand that no matter what field of science they enter, they will need to take measurements, understand them, communicate them to others, and be able to repeat them. In other words, all have to speak the same basic language.
 
# The ability to obtain accurate measurements and communicate those measurements is a key requirement for progress.
 
# The ability to obtain accurate measurements and communicate those measurements is a key requirement for progress.
 +
# Standardised measuring units ensure uniformity in meaurements.
 
# These are the seven basic units in the SI system: the kilogram (kg) (mass), the second (s) (time), the Kelvin (K) (temperature),  the ampere (A) (electric current), the mole (mol) (amount of a substance), the candela (cd) (luminous intensity), and the meter (m), (distance).
 
# These are the seven basic units in the SI system: the kilogram (kg) (mass), the second (s) (time), the Kelvin (K) (temperature),  the ampere (A) (electric current), the mole (mol) (amount of a substance), the candela (cd) (luminous intensity), and the meter (m), (distance).
# A unit is any measurement that there is 1 of.
      
===Notes for teachers===
 
===Notes for teachers===
Line 148: Line 146:     
The definition, agreement, and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day. Different systems of units used to be very common. Now there is a global standard, the International System of Units (SI), the modern form of the metric system.
 
The definition, agreement, and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day. Different systems of units used to be very common. Now there is a global standard, the International System of Units (SI), the modern form of the metric system.
 +
===Activity No # Using standard measuring instruments ===
 +
{| style="height:10px; float:right; align:center;"
 +
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 +
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 +
|}
 +
*Estimated Time
 +
*Materials/ Resources needed : Weighing balance, measuring tape, spring balance, digital scale, postal scale, thermometer, litre and millilitre cans.
 +
*Prerequisites/Instructions, if any
 +
*Multimedia resources
 +
*Website interactives/ links/ / Geogebra Applets
 +
*Process/ Developmental Questions
 +
*Evaluation
 +
*Question Corner
 +
 
===Activity No # Hunting treasure and measuring===
 
===Activity No # Hunting treasure and measuring===
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
1,040

edits