Topics
Number System (Including Estimation and Approximation)
Number System
Theme 1 : Numbers
Number System(Consolidating the Sense of Numberness)
Ratio and Proportion
Theme 2 : Ratio, Proportion and Arithmetic Problems
Numbers in Indian and International Systems (With Comparison)
Estimation
Theme 3 : Algebra
Numbers in India and International System (With Comparison)
Algebra
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Place Value
Negative Numbers and Integers
Geometry
Theme 4 : Geometry
Mensuration
Theme 5 : Mensuration
Sets
Natural Numbers and Whole Numbers (Including Patterns)
Negative Numbers and Integers
Theme 6 : Statistics
Data Handling
Fractions
Number Line
Decimal Fractions
Playing with Numbers (Including H.C.F. and L.C.M.)
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
Ratio and Proportion (Including Unitary Method)
Sets
Percent (Percentage)
Idea of Speed, Distance and Time
Ratio
Fundamental Concepts (With operations on Algebraic Expressions)
Proportion (Including Word Problems)
Unitary Method
Framing Algebraic Expressions (Including Substitution and Linear Equations)
Fundamental Concepts (Including Angles and their Properties)
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
Triangles (Including Types and Properties of Triangles)
Quadrilaterals
Percent (Percentage)
Circles
Idea of Speed, Distance and Time
Symmetry
Fundamental Concepts
Constructions
Fundamental Operations (Related to Algebraic Expressions)
Substitution (Including Use of Brackets as Grouping Symbols)
Recognition of Solids
Framing Algebraic Expressions (Including Evaluation)
Perimeter and Area of Plane Figures
Data Handling (Including Mean and Median)
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
- Introduction
- Definition: Natural Number
- Representation of Natural Numbers on Number Line
- Definition: Whole Number
- Representation of Whole Numbers on Number Line
- Definition: Integers
- Representation of Integers on Number Line
- Key Points Summary
CISCE: Class 6
Introduction
Numbers are all around us—when we count, measure, gain or lose points in a game, or check the weather! Understanding different kinds of numbers and how we show them is an important foundation in mathematics.
CISCE: Class 6
Definition: Natural Number
Natural numbers are the counting numbers starting from 1 and continue infinitely.
They include numbers like 1, 2, 3, 4, 5, and so on.
CISCE: Class 6
Representation of Natural Numbers on Number Line
- A number line for natural numbers starts at 1 and continues indefinitely to the right, marked as 1, 2, 3, 4, 5, ....
- The arrow at the right end indicates that natural numbers keep going to infinity.
CISCE: Class 6
Definition: Whole Number
Whole numbers include all natural numbers (1, 2, 3, 4, ...) along with 0.
CISCE: Class 6
Representation of Whole Numbers on Number Line
- A number line for whole numbers starts at 0 and continues infinitely to the right with numbers like 0, 1, 2, 3, 4, 5, ....
- The arrow at the right end indicates that whole numbers continue to infinity.
Definition: Integers
Integers include all the positive whole numbers, negative whole numbers, and zero. They are represented as {..., -3, -2, -1, 0, 1, 2, 3, ...}.
CISCE: Class 6
Representation of Integers on Number Line
- The number line for integers includes zero (0) in the middle, with positive integers (1, 2, 3, ...) on the right and negative integers (-1, -2, -3, ...) on the left.
- The arrowheads at both ends show that integers go on infinitely in both positive and negative directions.
CISCE: Class 6
Key Points Summary
- Natural numbers: Start from 1, used for counting.
- Whole numbers: Like natural numbers, but also include 0.
- Integers: Include negative numbers, zero, and positive numbers.
