Topics
Mathematics
Knowing Our Numbers
 Introduction to Knowing Our Numbers
 Comparing Numbers
 Compare Numbers in Ascending and Descending Order
 Compare Number by Forming Numbers from a Given Digits
 Compare Numbers by Shifting Digits
 Introducing a 5 Digit Number  10,000
 Revisiting Place Value of Numbers
 Expansion Form of Numbers
 Introducing the Six Digit Number  1,00,000
 Larger Number of Digits 7 and Above
 An Aid in Reading and Writing Large Numbers
 Using Commas in Indian and International Number System
 Round off and Estimation of Numbers
 To Estimate Sum Or Difference
 Estimating Products of Numbers
 Simplification of Expression by Using Brackets
 BODMAS  Rules for Simplifying an Expression
 Roman Numbers System and Its Application
Whole Numbers
 Concept for Natural Numbers
 Concept for Whole Numbers
 Successor and Predecessor of Whole Number
 Operation of Whole Numbers on Number Line
 Properties of Whole Numbers
 Closure Property of Whole Number
 Associativity Property of Whole Numbers
 Division by Zero
 Commutativity Property of Whole Number
 Distributivity Property of Whole Numbers
 Identity of Addition and Multiplication of Whole Numbers
 Patterns in Whole Numbers
Playing with Numbers
 Arranging the Objects in Rows and Columns
 Factors and Multiples
 Concept of Perfect Number
 Concept of Prime Numbers
 Concept of Coprime Number
 Concept of Twin Prime Numbers
 Concept of Even and Odd Number
 Concept of Composite Number
 Concept of Sieve of Eratosthenes
 Tests for Divisibility of Numbers
 Divisibility by 10
 Divisibility by 5
 Divisibility by 2
 Divisibility by 3
 Divisibility by 6
 Divisibility by 4
 Divisibility by 8
 Divisibility by 9
 Divisibility by 11
 Common Factor
 Common Multiples
 Some More Divisibility Rules
 Prime Factorisation
 Highest Common Factor
 Lowest Common Multiple
Basic Geometrical Ideas
 Concept for Basic Geometrical Ideas (2 d)
 Concept of Points
 Concept of Line
 Concept of Line Segment
 Concept of Ray
 Concept of Intersecting Lines
 Parallel Lines
 Concept of Curves
 Different Types of Curves  Closed Curve, Open Curve, Simple Curve.
 Concept of Polygons  Side, Vertex, Adjacent Sides, Adjacent Vertices and Diagonal
 Concept of Angle  Arms, Vertex, Interior and Exterior Region
 Concept of Triangles  Sides, Angles, Vertices, Interior and Exterior of Triangle
 Concept of Quadrilaterals  Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
 Concept of Circle  Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
Understanding Elementary Shapes
 Introduction to Understanding Elementary Shapes
 Measuring Line Segments
 Concept of Angle  Arms, Vertex, Interior and Exterior Region
 Right, Straight, and Complete Angle by Direction and Clock
 Acute, Right, Obtuse, and Reflex angles
 Measuring Angles
 Perpendicular Line and Perpendicular Bisector
 Classification of Triangles (On the Basis of Sides, and of Angles)
 Equilateral Triangle
 Isosceles Triangles
 Scalene Triangle
 Acute Angled Triangle
 Obtuse Angled Triangle
 Right Angled Triangle
 Types of Quadrilaterals
 Properties of a Square
 Properties of Rectangle
 Properties of a Parallelogram
 Properties of Rhombus
 Properties of Trapezium
 Three Dimensional Shapes
 Prism
 Concept of Pyramid
Integers
Fractions
Decimals
 Concept of Decimal Numbers
 Place Value in the Context of Decimal Fraction
 Concept of Tenths, Hundredths and Thousandths in Decimal
 Representing Decimals on the Number Line
 Interconversion of Fraction and Decimal
 Comparing Decimal Numbers
 Using Decimal Number as Units
 Addition of Decimal Numbers
 Subtraction of Decimals Fraction
Data Handling
Mensuration
Algebra
Ratio and Proportion
Symmetry
Practical Geometry
 Introduction to Practical Geometry
 Construction of a Circle When Its Radius is Known
 Construction of a Line Segment of a Given Length
 Constructing a Copy of a Given Line Segment
 Drawing a Perpendicular to a Line at a Point on the Line
 Drawing a Perpendicular to a Line Through a Point Not on It
 Drawing the Perpendicular Bisector of a Line Segment
 Constructing an Angle of a Given Measure
 Constructing a Copy of an Angle of Unknown Measure
 Constructing a Bisector of an Angle
 Angles of Special Measures  30°, 45°, 60°, 90°, and 120°
Notes
Measuring Line Segments:

A line segment corresponds to the shortest distance between two points. A line segment is a fixed portion of a line.

The distance between the endpoints of a line segment is its length.

Line segments can be measured by
i) Comparison by observation:
We can tell which line segment is greater than other just by observing the two line segments but it is not sure.
ii) Comparison by tracing:
This method depends upon the accuracy in tracing the line segment.In this method we have to trace one line on paper then put the traced line segment on the other line to check which one is greater.
But this is a difficult method because every time to measure the different size of line segments we have to make a separate line segment.
iii) Comparison using ruler and divider:
We can use a ruler to measure the length of a line segment. Put the zero mark at point A and then move toward l to measure the length of the line segment, but it may have some errors on the basis of the thickness of the ruler.

A graduated ruler and the divider are useful to compare lengths of line segments.
 Open the divider.
 Place the endpoint of one of its arms at A and the endpoint of the second arm at B.
 Taking care that the opening of the divider is not disturbed, lift the divider and place it on the ruler. Ensure that one endpoint is at the zero mark of the ruler.
 Now read the mark against the other endpoint.

Positioning error: To get the correct measure, the eye should be correctly positioned, just vertically above the mark. Otherwise, errors can happen due to angular viewing.