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NCERT Book for Class 6 Mathematics Chapter 5 Understanding Elementary Shapes
Class 6 Mathematics students should refer to the following NCERT Book Chapter 5 Understanding Elementary Shapes in Class 6. This NCERT Book for Class 6 Mathematics will be very useful for exams and help you to score good marks
Chapter 5 Understanding Elementary Shapes NCERT Book Class 6
Understanding Elementary Shapes
5.1 Introduction
All the shapes we see around us are formed using curves or lines. We can see corners, edges, planes, open curves and closed curves in our surroundings. We organise them into line segments, angles, triangles, polygons and circles. We find that they have different sizes and measures. Let us now try to develop tools to compare their sizes.
5.2 Measuring Line Segments
We have drawn and seen so many line segments. A triangle is made of three, a quadrilateral of four line segments. A line segment is a fixed portion of a line. This makes it possible to measure a line segment. This measure of each line segment is a unique number called its “length”. We use this idea to compare line segments.
To compare any two line segments, we find a relation between their lengths. This can be done in several ways.
(i) Comparison by observation:
By just looking at them can you tell which one is longer?
You can see that AB is longer.
But you cannot always be sure about your usual judgment.
For example, look at the adjoining segments :
The difference in lengths between these two may not be obvious. This makes other ways of comparing necessary.
In this adjacent figure, AB and PQ have the same lengths. This is not quite obvious.
So, we need better methods of comparing line segments.
(ii) Comparison by Tracing
To compare AB and CD, we use a tracing paper, trace CD and place the traced segment on AB.
Can you decide now which one among AB and CD is longer?
The method depends upon the accuracy in tracing the line segment. Moreover, if you want to compare with another length, you have to trace another line segment. This is difficult and you cannot trace the lengths everytime you want to compare them.
(iii) Comparison using Ruler and a Divider
Have you seen or can you recognise all the instruments in your instrument box? Among other things, you have a ruler and a divider.
Note how the ruler is marked along one of its edges. It is divided into 15 parts. Each of these 15 parts is of length 1cm.
Each centimetre is divided into 10subparts.
Each subpart of the division of a cm is 1mm.
How many millimetres make one centimetre? Since 1cm = 10 mm, how will we write 2 cm? 3mm? What do we mean by 7.7 cm?
Place the zero mark of the ruler at A. Read the mark against B. This gives the length of AB. Suppose the length is 5.8 cm, we may write, Length AB = 5.8 cm or more simply as AB = 5.8 cm.
There is room for errors even in this procedure. The thickness of the ruler may cause difficulties in reading off the marks on it.
EXERCISE 5.1
1. What is the disadvantage in comparing line segments by mere observation?
2. Why is it better to use a divider than a ruler, while measuring the length of a line segment?
3. Draw any line segment, say AB. Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC + CB?
[Note : If A,B,C are any three points on a line such that AC + CB = AB, then we can be sure that C lies between A and B.]
Please refer to attached file for NCERT Class 6 Maths Understanding Elementary Shapes
| NCERT Class 6 Maths Knowing our Numbers |
| NCERT Class 6 Maths Whole Numbers |
| NCERT Class 6 Maths Playing with Numbers |
| NCERT Class 6 Maths Basic Geometrical Ideas |
| NCERT Class 6 Maths Understanding Elementary Shapes |
| NCERT Class 6 Maths Integers |
| NCERT Class 6 Maths Fractions |
| NCERT Class 6 Maths Decimals |
| NCERT Class 6 Maths Data Handling |
| NCERT Class 6 Maths Mensuration |
| NCERT Class 6 Maths Algebra |
| NCERT Class 6 Maths Ratio and Proportion |
| NCERT Class 6 Maths Symmetry |
| NCERT Class 6 Maths Practical Geometry |
| NCERT Class 6 Maths Answers to all Chapters |
| NCERT Class 6 Maths Brain Teasers |
Mathematics NCERT Book Class 6 Chapter 5 Understanding Elementary Shapes
The above NCERT Books for Class 6 Mathematics Chapter 5 Understanding Elementary Shapes have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 5 Understanding Elementary Shapes Mathematics Class 6 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 5 Understanding Elementary Shapes NCERT etextbooks as the exams for Class 6 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 6 Chapter 5 Understanding Elementary Shapes book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 6 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 6 students.
NCERT Book Class 6 Mathematics Chapter 5 Understanding Elementary Shapes
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Class 6 Chapter 5 Understanding Elementary Shapes NCERT Book Mathematics
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