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
Distributivity of multiplication over addition:
With distributivity property, 6 × (5 + 3) can be written as (6 × 5) + (6 × 3)
Here, 6 × (5 + 3) = 6 × 8 = 48
Also, (6 × 5) + (6 × 3) = 30 + 18 = 48.
Multiplication is distributive over addition for whole numbers.
1) A taxi driver filled his car petrol tank with 40 litres of petrol on Monday. The next day, he filled the tank with 50 litres of petrol. If the petrol costs Rs 44 per litre, how much did he spend in all on petrol?
Solution:
Quantity of petrol filled on Monday = 40 l
Quantity of petrol filled on Tuesday = 50 l
Total quantity filled = (40 + 50)l
Cost of petrol (per l) = Rs 44
Total money spent = 44 × (40 + 50)
= 44 × 90 = Rs. 3960
2) A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, how much money is due to the vendor per day?
Solution:
Quantity of milk supplied in the morning = 32 l
Quantity of milk supplied in the evening = 68 l
Total of milk per litre = (32 + 68) l
Cost of milk per litre = Rs 15
Total cost per day = 15 × (32 + 68)
= 15 × 100 = Rs. 1500.
