Topics
Number System(Consolidating the Sense of Numberness)
Number System
Estimation
Ratio and Proportion
Algebra
Numbers in India and International System (With Comparison)
Geometry
Place Value
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Data Handling
Negative Numbers and Integers
Number Line
HCF and LCM
Playing with Numbers
- Simplification of Brackets
- Finding Factors Using Rectangular Arrangements and Division
- Factors and Common Factors
- Multiples and Common Multiples
- Concept of Even and Odd Number
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Divisibility by 3
- Divisibility by 6
- Divisibility by 9
- Divisibility by 5
- Divisibility by 11
Sets
Ratio
Proportion (Including Word Problems)
Unitary Method
Fractions
- Concept of Fraction
- Types of Fractions
- Concept of Proper and Improper Fractions
- Concept of Mixed Fractions
- Like and Unlike Fraction
- Concept of Equivalent Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Simplest Form of a Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Division of Fractions
- Using Operator 'Of' with Multiplication and Division
- BODMAS Rule
- Problems Based on Fraction
Decimal Fractions
Percent (Percentage)
Idea of Speed, Distance and Time
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Substitution (Including Use of Brackets as Grouping Symbols)
Framing Algebraic Expressions (Including Evaluation)
Simple (Linear) Equations (Including Word Problems)
Fundamental Concepts
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Symmetry (Including Constructions on Symmetry)
Recognition of Solids
Perimeter and Area of Plane Figures
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
- Comparing the Indian and International Number Systems
- Common Mistakes & How to Avoid
CISCE: Class 6
Comparing the Indian and International Number Systems
There are two systems used for reading large numbers:
- Indian System
- International System
Comparing the Indian place-value chart with the International place-value chart:
| Indian | Crores | Lakhs | Thousands | Ones |
| TC C | TL L | TTh Th | H T O |
| International | Millions | Thousands | Ones |
| H M T M M | HTh TTh Th | H T O |
Explain the relationship between Hindu-Arabic numerals and the International System of Numeration.
| Hindu-Arabic System | International System | ||||||||||||||||||
| TC | C | TL | L | TTH | TH | H | T | O | HM | TM | M | HTh | TTh | T | H | T | O | ||
| 1. | 5 | 0 | 8 | 1 | 6 | 4 | 0 | 7 | 1. | 5 | 0 | 8 | 1 | 6 | 4 | 0 | 7 | ||
| = Five crore eight lakh sixteen thousand four hundred seven | = Fifty million eight hundred sixteen thousand four hundred seven | ||||||||||||||||||
| 2. | 3 | 2 | 5 | 0 | 0 | 8 | 6 | 0 | 0 | 2. | 3 | 2 | 5 | 0 | 0 | 8 | 6 | 9 | 0 |
| = Thirty-two crore, fifty lakh, eight thousand, six hundred | = Three hundred twenty-five million eight thousand six hundred | ||||||||||||||||||
| 3. | 7 | 6 | 5 | 0 | 3 | 9 | 0 | 3. | 7 | 6 | 5 | 0 | 3 | 9 | 0 | ||||
| = Seventy-six lakh fifty thousand three hundred ninety | = Seven million six hundred fifty thousand three hundred ninety | ||||||||||||||||||
CISCE: Class 6
Common Mistakes & How to Avoid
- Forgetting to place commas correctly.
- Mixing up ‘Lakh’ and ‘Million’ or ‘Crore’ and ‘Billion.’
- Avoid adding ‘and’ or using plurals when writing number names in both systems.
