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
To Estimate Sum Or Difference:
1) Estimate: 5,290 + 17,986.
Solution:
You find 17,986 > 5,290.
Round off to thousands.
17,986 rounds off to - 18,000
+5,290 rounds off to - + 5,000
Estimated sum = 23,000
2) Estimate: 5,673 – 436.
Solution:
To begin with, we round off to thousands.
5,673 rounds off to - 6,000
– 436 rounds off to - (-) 0
Estimated difference = 6,000.
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