Topics
Number System (Including Estimation and Approximation)
Number System
Number System(Consolidating the Sense of Numberness)
Theme 1 : Numbers
Ratio and Proportion
Numbers in Indian and International Systems (With Comparison)
Theme 2 : Ratio, Proportion and Arithmetic Problems
Estimation
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Numbers in India and International System (With Comparison)
Theme 3 : Algebra
Algebra
Place Value
Geometry
Theme 4 : Geometry
Negative Numbers and Integers
Mensuration
Theme 5 : Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Sets
Data Handling
Fractions
Theme 6 : Statistics
Negative Numbers and Integers
Decimal Fractions
Number Line
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)
Percent (Percentage)
Sets
Idea of Speed, Distance and Time
Ratio
Proportion (Including Word Problems)
Fundamental Concepts (With operations on Algebraic Expressions)
Framing Algebraic Expressions (Including Substitution and Linear Equations)
Unitary Method
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
Fundamental Concepts
Symmetry
Constructions
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)
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.
