Topics
Theme 1 : Numbers
Number System
Number System (Including Estimation and Approximation)
Number System(Consolidating the Sense of Numberness)
Ratio and Proportion
Estimation
Numbers in Indian and International Systems (With Comparison)
Theme 2 : Ratio, Proportion and Arithmetic Problems
Numbers in India and International System (With Comparison)
Algebra
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Theme 3 : Algebra
Geometry
Theme 4 : Geometry
Place Value
Negative Numbers and Integers
Theme 5 : Mensuration
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Sets
Data Handling
Negative Numbers and Integers
Fractions
Theme 6 : Statistics
Decimal Fractions
Number Line
HCF and LCM
Playing with Numbers (Including H.C.F. and L.C.M.)
Ratio and Proportion (Including Unitary Method)
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
Percent (Percentage)
Ratio
Idea of Speed, Distance and Time
Proportion (Including Word Problems)
Fundamental Concepts (With operations on Algebraic Expressions)
Unitary Method
Framing Algebraic Expressions (Including Substitution and Linear Equations)
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
Fundamental Concepts (Including Angles and their Properties)
Triangles (Including Types and Properties of Triangles)
Decimal Fractions
Percent (Percentage)
Quadrilaterals
Idea of Speed, Distance and Time
Circles
Symmetry
Constructions
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Recognition of Solids
Substitution (Including Use of Brackets as Grouping Symbols)
Perimeter and Area of Plane Figures
Framing Algebraic Expressions (Including Evaluation)
Simple (Linear) Equations (Including Word Problems)
Data Handling (Including Mean and Median)
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
- Introduction
- Definition: Unit
- Definition: Number
- Definition: Numeral
- Definition: Numeration
- Real-Life Application
- Key Points Summary
CISCE: Class 6
Introduction
Have you ever counted five apples, written “5” on a box, or said “seven” in class? In mathematics, we use specific words for the objects we count (units), the count itself (number), the symbols we write (numerals), and the ways we express numbers with words (numeration).
CISCE: Class 6
Definition: Unit
A unit is the first and the smallest natural number used as a standard of measurement.
Example:
- 1 pen, 1 boy, 1 meter, 1 day.
- Unit of length: 1 meter
- Unit of weight: 1 kilogram
CISCE: Class 6
Definition: Number
A number is a count or an amount. It tells you how many things there are.
Examples:
- 3 (means "three items")
- 15 (means "fifteen items")
- 72 (means "seventy-two items")
- 0 (means none or nothing)
CISCE: Class 6
Definition: Numeral
A numeral is how we write a number.
Examples:
- 3 is the numeral for three.
- 15 is the numeral for fifteen.
- 72 is the numeral for seventy-two.
CISCE: Class 6
Definition: Numeration
Numeration is the way a number is expressed in words or through a language system.
Examples:
- 3 is written as three in words.
- 15 is written as fifteen.
- 72 is written as seventy-two.
CISCE: Class 6
Real-Life Application
- When you fill out a cheque, you write the amount in figures (numerals) and in words (numeration).
- Supermarkets use units for items (“1 packet”) and numbers for (“5 packet” bought).
CISCE: Class 6
Key Points Summary
- Number: Answers “how many?”
- Numeral: The way a number is written (symbols).
- Numeration: The way a number is spelled out (words or language system).
- Unit: Always refers to one of something.
Memory tip:
“Unit = ONE. Number = HOW many. Numeral = SYMBOLS. Numeration = WORDS.”
