Topics
Term - 1
Numbers
- Fundamentals of Numbers
- Successor and Predecessor of Whole Number
- Introducing a 5 Digit Number - 10,000
- Introducing the Six Digit Number - 1,00,000
- Introducing seven-digit numbers
- Concept of Place Value
- Use of Commas
- Crores
- Comparing Numbers
- Ascending and Descending Order of Numbers
- Forming Numbers from Digits
- BODMAS Rule
- Rounding off a Number
- To Estimate Sum Or Difference
- Estimating Products of Numbers
- Whole Numbers
- Commutativity Property of Whole Number
- Associativity Property of Whole Numbers
- Distributivity Property of Whole Numbers
- Identity of Addition and Multiplication of Whole Numbers
Introduction to Algebra
Ratio and Proportion
Geometry
Statistics
Information Processing
- Systematic Listing
- Systematic Completion of Lists
Term - 2
Numbers
- Concept of Even and Odd Number
- Prime and Composite Numbers
- Eratosthenes’ Method of Finding Prime Numbers
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 3
- Divisibility by 5
- Divisibility by 4
- Divisibility by 6
- Divisibility by 8
- Divisibility by 9
- Divisibility by 10
- Divisibility by 11
- Prime Factorisation
- Factors and Common Factors
- Highest Common Factor (HCF)
- Multiples and Common Multiples
- Lowest Common Multiple
- Relationship between the Numbers and their HCF and LCM
Measurements
- Conversion of Units
- Fundamental Operations on Quantities with Different Units
- Measures of Time
- Conversion of Time
Bill, Profit and Loss
Geometry
- Basic Concepts of Triangles
- Classification of Triangles based on Sides
- Classification of Triangles based on Angles
- Basic Properties of a Triangle
- Triangle Inequality
- Drawing a Perpendicular to a Line
- Construction of Parallel Lines
Information Processing
- Tree Diagram
- Conversion of Tree Diagrams into Numerical Expressions
- Conversion of Algebraic Expressions into Tree Diagrams
Term - 3
Fractions
- Concept of Fraction
- Concept of Equivalent Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Concept of Mixed Fractions
- Multiplication of a Fraction by a Whole Number
- Using Operator 'Of' with Multiplication and Division
- Multiplication of Fraction
- Division of Fractions
- Concept of Proper and Improper Fractions
Integers
Perimeter and Area
- Concept of Perimeter
- Perimeter of a Rectangle
- Perimeter of Squares
- Perimeter of Triangle
- Concept of Area
- Area of Rectangle
- Area of Square
- Area of a Triangle
- Perimeter and Area of Combined Shapes
- Estimate the Area of Irregular Shape Using a Graph Paper
Symmetry
Information Processing
- Iterative Processes
- Iterative Process in Numbers
- Euclid’s Game
- Euclid’s Division Algorithm
- Arranging Things and Putting Them in Order
Notes
Measuring Line Segments:
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A line segment corresponds to the shortest distance between two points. A line segment is a fixed portion of a line.
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The distance between the endpoints of a line segment is its length.
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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.
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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.
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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.





