CISCE ICSE Class 6 Maths Syllabus - Free PDF Download
CISCE Syllabus 2025-26 ICSE Class 6: The CISCE ICSE Class 6 Maths Syllabus for the examination year 2025-26 has been released by the Council for the Indian School Certificate Examinations, CISCE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2025-26 CISCE ICSE Class 6 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CISCE syllabus to prepare for their annual exam properly.
The detailed CISCE ICSE Class 6 Maths Syllabus for 2025-26 is below.
Academic year:
CISCE ICSE Class 6 Mathematics Revised Syllabus
CISCE ICSE Class 6 Mathematics Course Structure 2025-26 With Marking Scheme
Advertisements
Advertisements
Advertisements
Syllabus
1: Number System
CISCE ICSE Class 6 Mathematics Syllabus
1 Number System(Consolidating the Sense of Numberness)
- Comparing Numbers
- Introduction
- Rules for Comparing Any Two Numbers
- Comparing Numbers Using Charts
- Real-Life Application
- Key Points Summary
- To Form The Smallest and The Greatest Numbers Using Given Digits
- Introduction
- When 0 is included
- When 0 is not included
- Real-Life Application
- Key Points Summary
- Operations on Larger Numbers
- Step-by-Step Process for Addition
- Examples of Addition
- Step-by-Step Process for Subtraction
- Examples of Subtraction
- Step-by-Step Process for Multiplication
- Examples of Multiplication
- Step-by-Step Process for Division
- Examples of Division
- Key Points Summary
2 Estimation
- Basic Concept of Estimation and Approximation of Numbers
- Definition: Estimation
- Benefits of Estimation
- Real-Life Example
- Rounding off a Number
- Introduction
- Rounding Off a Number to the Nearest Ten
- Rounding Off a Number to the Nearest Hundred
- Rounding Off a Number to the Nearest Thousand
- Examples
- Real-Life Application
- Key Rules Summary
- Estimation in Basic Operations
- Introduction
- Estimation of Sums Using Rounding Techniques
- Estimation of Difference Using Rounding Techniques
- Estimation of Product Using Rounding Techniques
- Estimation of Quotient Using Rounding Techniques
- Real-Life Application
- Key Points Summary
3 Numbers in India and International System (With Comparison)
- Concept of Unit, Number, Numeral and Numeration
- Introduction
- Definition: Unit
- Definition: Number
- Definition: Numeral
- Definition: Numeration
- Real-Life Application
- Key Points Summary
- Hindu-Arabic (Indian) System of Numeration
- Introduction
- Reading and Writing Large Numbers Using the Hindu-Arabic System
- Examples
- Real-Life Application
- Tips, Tricks, and Common Mistakes
- International System of Numeration
- Introduction
- Reading and Writing Large Numbers Using the International System
- Examples
- Real-Life Application
- Tips, Tricks, and Common Mistakes
- Indian vs. International Place Value System
- Comparing the Indian and International Number Systems
- Common Mistakes & How to Avoid
4 Place Value
- Concept of Place Value
- Definition: Place Value
- Place Value of the Whole Number
- Place Value of a Decimal Number
- Real-Life Applications
- Key Points Summary
- Largest and Smallest Numbers
- Pattern Formed by Largest Numbers
- Pattern Formed by Smallest Numbers
- Key Points Summary
5 Natural Numbers and Whole Numbers (Including Patterns)
- Natural Numbers
- Definition: Natural Numbers
- Characteristic of Natural Numbers
- Real-life Examples
- Key Points Summary
- Whole Numbers
- Definition: Whole Numbers
- Characteristic of Whole Numbers
- Real-life Examples
- Key Points Summary
- Successor and Predecessor of Whole Number
- Introduction
- Successor and Predecessor of Whole Number
- Real-Life Applications
- Key Points
- Properties of Whole Numbers
- For Addition
- For Subtraction
- For Multiplication
- For Division
- Key Points Summary
- Mathematical Patterns
- Definition: Pattern
- Example
- Square Numbers and Their Formation
- Triangular Numbers and Their Formation
- Key Points Summary
- Patterns in Whole/Natural Numbers
- Introduction
- Sum of First n Odd Numbers
- Sum of Natural Numbers
- Sum of First n Even Numbers
- Repeated 1's Pattern
- Key Points Summary
- Magic Square
- Definition: Magic Square
- Historical Background
- Breakdown of 3×3 Magic Square Sums
- Matchstick Pattern
- Introduction
- Matchstick Pattern Rule
- Examples
- Key points Summary
6 Negative Numbers and Integers
- Concept of Negative Numbers
- Definition: Negative Numbers
- Need for Negative Numbers
- Representation of Negative Numbers on the Number Line
- Real-Life Examples
- Key Points Summary
- Ordering of Integers
- Introduction
- Properties of Integer Ordering
- Examples 1
- Examples 2
- Addition of Integers
- Rules for Addition of Integers
- Real-Life Applications
- Activity
- Subtraction of Integers
- Rules for Subtraction of Integers
- Real-Life Application
- Integers
- Definition: Integers
- Introduction to Integers and Their Representation
- Understanding the Collection of Integers through Sets
- Real-Life Application
- Key Points Summary
7 Number Line
- Number Line
- Definition: Number Line
- Steps to Draw a Number Line
- Movement on the Number Line
- Using an Unmarked Number Line
- Examples
- Key Points Summary
- Representation of Natural numbers, Whole Numbers and Integers On Number Line
- 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
- Comparing Numbers
- Introduction
- Rules for Comparing Any Two Numbers
- Comparing Numbers Using Charts
- Real-Life Application
- Key Points Summary
- Addition and Subtraction on a Number Line
- Introduction
- Steps for Addition
- Addition of Integers Using a Number Line
- Steps for Subtraction
- Subtraction of Integers Using a Number Line
- Key Points Summary
8 HCF and LCM
- Factors and Common Factors
- Definition: Factor
- Product and Factor
- Examples of Finding Factors of Numbers
- Properties of Factors
- Definition: Common Factor
- Activity
- Prime and Composite Numbers
- Definition: Prime Numbers
- Definition: Twin Prime Numbers
- Definition: Composite Number
- Activity: Prime or Composite? Build and Decide!
- Classification of Numbers Based on Their Factors
- Key Points Summary
- Eratosthenes’ Method of Finding Prime Numbers
- Historical Note
- Step-by-Step Guide to Eratosthenes’ Prime Number Method
- Key Points Summary
- Prime Factorisation
- Definition: Prime Factor
- Examples
- Prime Factorisation of a Product
- Applications of Prime Factorisation: Checking Co-primeness
- Applications of Prime Factorization: Checking Divisibility
- Highest Common Factor (HCF)
- Definition: HCF
- Steps to Find HCF
- Example 1
- Example 2
- Key Points Summary
- Methods of Finding HCF
- Introduction
- Methods
- Key Points Summary
- Multiples and Common Multiples
- Introduction
- Definition: Multiple
- Examples
- Properties of Multiples
- Real-life Application
- Lowest Common Multiple
- Definition: LCM
- Steps to Find the LCM
- Examples
- Methods of Finding LCM
- Introduction
- Methods
- Key Points Summary
9 Playing with Numbers
- Simplification of Brackets
- Introduction
- Types of Brackets
- Rules for Using Brackets and BODMAS
- Example 1
- Example 2
- Example 3
- Example 4
- Example 5
- Real-Life Application
- Key Points Summary
- Finding Factors Using Rectangular Arrangements and Division
- Introduction
- Finding Factors Using Rectangular Arrangements
- Finding Factors Using Division
- Real-Life Example
- Key Points Summary
- Factors and Common Factors
- Definition: Factor
- Product and Factor
- Examples of Finding Factors of Numbers
- Properties of Factors
- Definition: Common Factor
- Activity
- Multiples and Common Multiples
- Introduction
- Definition: Multiple
- Examples
- Properties of Multiples
- Real-life Application
- Concept of Even and Odd Number
- Definition: Even and Odd
- Properties of Odd and Even Numbers
- Real-Life Examples
- Key Points Summary
- Tests for Divisibility of Numbers
- Introduction
- Divisibility Rules
- Divisibility by 2
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 4
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 8
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 3
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 6
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 9
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 5
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 11
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
10 Sets
- Concept of Sets
- Introduction
- Definition: Sets
- Well-defined and Not Well-defined Sets
- Elements of a Set and Notation
- Properties of Sets
- Examples
- Real-Life Applications
- Key Points Summary
- Representation of a Set
- Introduction
- Methods of Set Representation
- Number Sets with Different Methods
- Representing Sets Using Pictures
- Representing Sets Using Brackets
- Key Points Summary
- Types of Sets
- Introduction
- Exploring Different Types of Sets
- Real-Life Applications
- Key Points Summary
- Cardinality of a Set
- Definition: Cardinality
- Examples
- Real-Life Application
- Key Points Summary
2: Ratio and Proportion
CISCE ICSE Class 6 Mathematics Syllabus
11 Ratio
- Quantitative Comparison Using Basic Operations
- Introduction
- Comparison by Subtraction
- Examples based on Subtraction
- Comparison by Division
- Examples based on Division
- Key Points Summary
- Ratio
- Definition: Ratio
- Key Concepts in Ratios
- Examples
- Real-Life Application
- Simplifying Ratios
- Introduction
- Converting into Simple Ratio
- Expressing Quantities in the Form a:b:c
- Simplifying the Ratio a : b : c
- Real-Life Application
- Key Points Summary
- Problems based on Ratio
- Introduction
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
- All About Ratios: Dividing, Comparing, and Modifying Quantities
- To Divide a Given Quantity in a Given Ratio
- Examples of Dividing Quantities in a Given Ratio
- Comparing the Ratios
- Examples of Comparing Ratios
- Increase or Decrease in a Given Ratio
- Examples of Increase or Decrease in a Ratio
- Real-Life Applications
- Key Points Summary
12 Proportion (Including Word Problems)
- Proportion
- Definition: Proportion
- Rules of Proportion
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Applications
- Key Points Summary
- Concept of Continued Proportion
- Definition: Continued Proportion
- Formula
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
13 Unitary Method
- Unitary Method
- Definition: Unitary Method
- Steps for Applying the Unitary Method
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Examples
- Key Points Summary
- Types of Variation
- Definition: Direct Variation
- Definition: Inverse Variation
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
14 Fractions
- Concept of Fraction
- Definition: Fraction
- Structure of Fraction
- Understanding Parts of a Whole with Fractions
- Real-Life Applications
- Key Points Summary
- Types of Fractions
- Introduction
- Classification of Fractions with Examples and Conditions
- Concept of Proper and Improper Fractions
- Definition: Proper Fraction
- Definition: Improper Fraction
- Key Points Summary
- Concept of Mixed Fractions
- Definition: Mixed Fraction
- Structure of Mixed Fractions
- Example 1
- Example 2
- Example 3
- Real-Life Application
- Key Points Summary
- Like and Unlike Fraction
- Definition: Like Fractions
- Definition: Unlike Fractions
- Key Points Summary
- Concept of Equivalent Fractions
- Definition: Equivalent Fractions
- Definition: Cross Product
- Obtaining Equivalent Fractions
- Examples
- Real-Life Application
- Key Points Summary
- Conversion between Improper and Mixed fraction
- Introduction
- Steps to Convert a Mixed Fraction into an Improper Fraction
- Example of Converting a Mixed Fraction to an Improper Fraction
- Steps to Convert an Improper Fraction into a Mixed Fraction
- Example of Converting an Improper Fraction to a Mixed Fraction
- Key Points Summary
- Conversion between Unlike and Like Fractions
- Introduction
- Steps to Convert Unlike Fractions into Like Fractions
- Examples
- Key Points Summary
- Simplest Form of a Fractions
- Definition: Simplest Form
- Method 1: Divide the Numerator and Denominator by their HCF
- Method 2: Use Prime Factorization to Cancel Common Factors
- Key Points Summary
- Comparing Fractions
- Introduction
- Case 1: Comparing Like Fractions
- Case 2: Comparing Unlike Fractions
- Case 3: Comparing Unlike Fractions with the Same Numerators
- Example 1
- Example 2
- Key Points Summary
- Addition of Fraction
- Introduction
- Steps for Adding Fractions
- Case 1: Proper Fraction + Proper Fraction
- Case 2: Improper Fraction + Improper Fraction
- Case 3: Mixed Fraction + Mixed Fraction
- Brahmagupta’s Method for Adding Fractions (Adding Unlike Fractions)
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Subtraction of Fraction
- Introduction
- Steps for Subtracting Fractions
- Case 1: Proper Fraction – Proper Fraction
- Case 2: Improper Fraction – Improper Fraction
- Case 3: Mixed Fraction – Mixed Fraction
- Real-Life Application
- Key Points Summary
- Multiplication of Fraction
- Introduction
- Formula
- Steps to Multiply Fractions
- Examples
- Key Points Summary
- Division of Fractions
- Introduction
- Formula
- Definition: Fraction, Division and Reciprocal
- Example
- Key Points Summary
- Using Operator 'Of' with Multiplication and Division
- Introduction
- Understanding Fractions as Multiplication ('of')
- Example 1
- Example 2
- Real-Life Application
- Key Points Summary
- BODMAS Rule
- Introduction
- Order of Operations
- Example 1
- Example 2
- Real-Life Application
- Key Points Summary
- Problems Based on Fraction
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
15 Decimal Fractions
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
- Like and Unlike Decimal Numbers
- Definition: Like Decimal Numbers
- Definition: Unlike Decimal Numbers
- Steps to Convert Unlike Decimals to Like Decimals
- Example
- Key Points Summary
- Conversion between Decimal Fraction and Common Fraction
- Introduction
- Case 1: To Convert a Common Fraction into a Decimal Fraction
- Case 2: To Convert a Common Fraction into a Decimal Fraction
- Case 3: To Convert a Common Fraction into a Decimal Fraction
- Steps to Convert a Decimal Fraction into a Common Fraction
- Key Points Summary
- Addition of Decimal Fraction
- Introduction
- Steps to Add Decimals
- Example 1
- Example 2
- Key Points Summary
- Subtraction of Decimal Numbers
- Introduction
- Steps to Subtract Decimals
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Multiplication of Decimal Numbers
- Introduction
- Steps to Multiply Decimals
- Multiplying by Powers of 10
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
- Division of Decimal Numbers
- Introduction
- Case 1: Division of Decimal by a Natural (Whole) Number
- Case 2: Division of a Decimal Number by a Decimal Number
- Case 3: Division of Decimal by 10, 100, 1000, etc.
- Key Points Summary
- Application of Decimals in Real Life
- Introduction
- Currency - Rupees and Paise
- Examples of Currency Conversion
- Measuring Lengths
- Examples of Length Conversion
- Measuring Weights (Mass)
- Examples of Weight Conversion
- Real-Life Application
- Key Points Summary
- Word Problems based on Decimals
- Introduction
- Key Points for Solving Decimal Word Problems
- Example 1
- Example 2
- Example 3
- Key Points Summary
16 Percent (Percentage)
- Basic Concept of Percentage
- Introduction
- Symbol of Percentage
- Formula: Percentage
- Steps to Convert Fractions to Percentages
- Example 1
- Example 2
- Real-Life Examples
- Key Points Summary
- Conversion between Percentage and Fraction or Decimal
- Introduction
- Steps to Convert a Percentage into a Fraction
- Examples: Converting Percentages to Fractions
- Steps to Convert a Fraction into a Percentage
- Examples: Converting Fractions to Percentages
- Real-Life Applications
- Expressing Quantities as Percentages
- Introduction
- Expressing One Quantity as a Percentage of Another
- Formula: Percentage
- Examples
- Finding the Percentage of a Given Quantity
- Formula: Percentage of a Quantity
- Examples
- Real-Life Application
- Key Points Summary
- Increase or Decrease in Percent
- Introduction
- Formula: Percentage Increase
- Formula: Percentage Decrease
- Step-by-Step Method
- Example 1
- Example 2
- Key Points Summary
- Percentage Problems Related to Environment
- Introduction
- Steps
- Example
- Key Points Summary
17 Idea of Speed, Distance and Time
- Speed, Distance and Time
- Introduction
- Formula: Speed
- Formula: Distance
- Formula: Time
- Units Used
- Example 1
- Example 2
- Key Points Summary
- Uniform Speed, Variable Speed, and Conversions
- Introduction
- Formula: Average Speed
- Unit Conversion for Speed
- Distance Covered by a Train
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
3: Algebra
CISCE ICSE Class 6 Mathematics Syllabus
18 Fundamental Concepts
- Introduction to Algebra
- Introduction
- Variables and Literals
- Common Signs and Symbols
- Understanding Algebraic Language
- Real-Life Application
- Key Points Summary
- Constants and Variables in Mathematics
- Definition: Constants
- Definition: Variables
- Identifying Terms
- Real-Life Application
- Key Points Summary
- Classification of Terms in Algebra
- Introduction
- Parts of an Algebraic Expression
- Definition: Like Terms
- Definition: Unlike Terms
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Factors and Common Factors
- Definition: Factor
- Product and Factor
- Examples of Finding Factors of Numbers
- Properties of Factors
- Definition: Common Factor
- Activity
- Powers and Exponents
- Introduction
- Table of Powers
- Examples
- Key Points Summary
- Basic Concept of Polynomial and its Degree
- Introduction
- Definition: Polynomial in One Variable
- Definition: Degree
- Definition: Polynomials of Two or More Variables
- Real-Life Application
- Key Points Summary
19 Fundamental Operations (Related to Algebraic Expressions)
- Addition of Like and Unlike Terms
- Introduction
- Steps for Addition of Like Terms
- Examples of Like Terms
- Addition of Unlike Terms
- Real-Life Application
- Key Points Summary
- Subtraction of Like and Unlike Terms
- Introduction
- Subtraction of Like Terms
- Examples of Subtraction of Like Terms
- Subtraction of Unlike Terms
- Examples of Subtraction of Unlike Terms
- Key Points Summary
- Addition of Polynomials
- Introduction
- Row Method
- Column Method
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Subtraction of Polynomials
- Introduction
- Row Method
- Column Method
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
- Multiplication of Algebraic Expressions
- Introduction
- Multiplying Algebraic Expressions
- Examples: Monomial × Monomial
- Examples: Monomial × Polynomial
- Examples: Binomial × Binomial
- Key Points Summary
- Division of Algebraic Expressions
- Introduction
- Dividing Algebraic Expressions
- Fundamental Rule
- Example: Monomial × Monomial
- Example: Polynomial × Monomial
- Key Points Summary
20 Substitution (Including Use of Brackets as Grouping Symbols)
- Basic Concept of Substitution
- Introduction
- The Substitution Process
- Example 1
- Example 2
- Key Points Summary
- Brackets in Mathematics
- Introduction
- Types of Brackets
- Order of Removing Brackets
- Rules of Removing Brackets
- Inserting Brackets
- Example 1
- Example 2
- Key Points Summary
21 Framing Algebraic Expressions (Including Evaluation)
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Evaluation of Algebraic Expressions
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
22 Simple (Linear) Equations (Including Word Problems)
- Concept of Linear Equations
- Definition: Linear Equation
- Translating Statements into Equations
- Key Points Summary
- Rules for Solving a Linear Equation
- Introduction
- General Rules for Solving Linear Equations
- Real-Life Examples
- Key Points Summary
- Methods of Solving Linear Equations
- Introduction
- Solving Equations of Common Forms
- Solving Using Transposition
- Solving Using Multiple Properties
- Real-Life Examples
- Key Points Summary
- Word Problems on Linear Equations
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
4: Geometry
CISCE ICSE Class 6 Mathematics Syllabus
23 Fundamental Concepts
- Fundamentals of Geometrical Concepts
- Introduction
- Fundamental Geometrical Concepts
- Concept of Points
- Definition: Point
- Fundamental Concept of a Point
- Definition: Collinear Points
- Definition: Non-Collinear Points
- Real-Life Examples
- Key Points Summary
- Concept of Lines
- Definition: Line
- Definition: Concurrent Lines
- Fundamental Properties and Representation of a Line
- Rays
- Introduction
- Definition: Ray
- Properties and Representation of a Ray
- Line Segments
- Definition: Line Segment
- Properties and Measurement of a Line Segment
- Activity: Understanding a Line Segment
- Mathematical Concept of Surface
- Introduction
- Flat Surfaces (Planes)
- Curved Surfaces
- Key Points Summary
- Planes
- Definition: Plane
- Properties of Plane
- Key Points Summary
- Parallel Lines
- Introduction
- Definition: Parallel Lines
- Properties of Parallel Lines
- Key Points Summary
- Intersecting Lines
- Definition: Intersecting Lines
- Properties of a Intersecting Lines
- Key Points Summary
- Concept for Open and Closed Figures
- Introduction
- Definition: Closed Figures
- Definition: Open Figures
- The Three Regions of a Closed Figure
- Key Points Summary
- Plane Closed Figures
- Introduction
- The Triangle
- The Rectangle
- The Square
- The Circle
- Key Points Summary
- The Perpendicular
- Introduction
- Definition: Perpendicular Lines
- Real-Life Applications
- Key Points Summary
- The Perpendicular Bisector
- Definition: Perpendicular Bisector
- Properties
- Construction of the Perpendicular Bisector
- Activity: Understanding the Perpendicular Bisector
24 Angles (With Their Types)
- Concept of Angle
- Introduction
- Parts of an Angle
- Naming and Representation of an Angle
- Example
- Real-Life Examples
- Angle and Its Formation
- Definition: Interior of an Angle
- Definition: Exterior of an Angle
- Angle Formation by Rotation
- Formation of Different Angles
- Measuring Angles
- Introduction
- Units of Measurement
- Measuring with a Protractor
- Steps to Measure an Angle Using a Protractor
- Activity: Make Your Own Paper Protractor
- Key Points Summary
- Common Errors
- Types of Angles
- Introduction
- Types of Angles
- Activity: Exploring a Straight Angle Using Paper Folding
- Key Rotational Benchmarks
- Concept of Pairs of Angles
- Introduction
- Adjacent Angles
- Vertically Opposite Angles
- Congruent Angles
- Complementary Angles
- Supplementary Angles
- Example 1
- Example 2
- Key Points Summary
- The Sum of the Angles Around a Point is Always 360°
- Rule
- Example 1
- Real-Life Example
25 Properties of Angles and Lines (Including Parallel Lines)
- Properties of Adjacent and Vertically Opposite Angles
- Introduction
- Adjacent Angles
- Vertically Opposite Angles
- Straight Line Property
- Example 1
- Example 2
- Key Points Summary
- Parallel Lines
- Introduction
- Definition: Parallel Lines
- Properties of Parallel Lines
- Key Points Summary
- Concept of Transversal Lines
- Introduction
- Angles Formed by Two Lines and Their Transversal
- When Two Parallel Lines Are Cut by a Transversal
- Example 1
- Construction of an Angle
- Introduction
- Drawing an Angle Using a Protractor
- Construct an Angle Equal to a Given Angle
- Constructing Particular Angles (Bisecting an Angle)
- Key Points Summary
- Drawing a Perpendicular to a Line
- Introduction
- By Folding Paper
- Using a Protractor
- Perpendicular at a Point on the Line (Using a Set Square)
- Perpendicular from a Point Outside the Line (Using a Set Square)
- Perpendicular from a Point on the Line (Using a Compass)
- Perpendicular from a Point Outside the Line (Using a Compass)
- Key Points Summary
26 Triangles (Including Types, Properties and Constructions)
- Basic Concepts of Triangles
- Definition:Triangle
- Parts of a Triangle
- Basic Properties of a Triangle
- Key Points Summary
- Exterior Angle of a Triangle and Its Property
- Definition: Exterior Angle
- Properties of Exterior Angles
- Example
- Key Points Summary
- Classification of Triangles based on Angles
- Introduction
- Classification of Triangles based on Angles
- Key Points Summary
- Classification of Triangles based on Sides
- Introduction
- Classification of Triangles based on Sides
- Key Points Summary
- Altitudes of a Triangle
- Introduction
- Definition: Altitude
- Altitudes and Their Point of Convergence
- Key Points Summary
- Median of a Triangle
- Definition: Median
- Properties of Medians
- The Centroid
- Key Points Summary
- Construction of Triangles
- Introduction
- Construction 1: Three Sides Given (SSS)
- Construction 2: Two Sides and Included Angle Given (SAS)
- Construction 3: Two Angles and the Included Side Given (ASA)
- Key Points Summary
27 Quadrilateral
- Quadrilaterals
- Introduction
- Parts of a Quadrilateral
- Reading and Writing of a Quadrilateral
- Real-Life Examples
- Key Points Summary
- Angle sum Property of Quadrilateral
- Introduction
- Interior and Exterior of a Quadrilateral
- Explanation: Sum of the Interior Angles of a Quadrilateral
- Example 1
- Example 2
- Key Points Summary
- Types of Quadrilaterals
- Introduction
- Trapezium
- Isosceles Trapezium
- Parallelogram
- Rectangle
- Rhombus
- Square
- Example 1
- Example 2
- Example 3
- Key Points Summary
28 Polygons
- Basic Concept of Polygons
- Introduction
- Definition: Polygon
- Parts of a Polygon
- Classification of Polygons (Naming)
- Types of Polygons
- Real-LIfe Examples
- Key Points Summary
- Sum of Interior Angles of a Polygon
- Introduction
- Formula: Sum of Interior Angles
- Example
- Key Points Summary
- Sum of Exterior Angles of a Polygon
- Introduction
- Properties
- Example 1
- Example 2
- Key Points Summary
- Basic Concept of Regular Polygon
- Definition: Regular Polygon
- Formula: Sum of Interior Angles
- Formula: Each Interior Angle
- Formula: Each Exterior Angle
- Formula: Number of Sides
- Formula: Relationship between Interior and Exterior Angles
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Applications
29 The Circle
- Basic Concept of Circle
- Introduction
- Definition: Circle
- Definition: Radius
- Definition: Diameter
- Definition: Chord
- Example
- Real-Life Applications
- Key Points Summary
- Secant and Tangent
- Introduction
- Definition: Secant
- Definition: Tangent
- Key Points Summary
- Arc of the Circle
- Introduction
- Formation of Arcs
- Minor Arc
- Major Arc
- Key Points Summary
- Sector of a Circle
- Introduction
- Types of Sectors
- The Quadrant
- Key Points Summary
- Segment of a Circle
- Introduction
- Types of Segments
- Key Points Summary
- The Interior and the Exterior of a Circle
- Definition: Interior of a Circle
- Definition: Exterior of a Circle
- Definition: The Boundary
- Real-Life Applications
- Key Points Summary
- Circumcircle of a Triangle
- Introduction
- Definition: Circumcircle
- Definition: Circumcenter
- Definition: Circumradius
- Step-by-Step Construction
- Position of Circumcenter in Different Triangles
- Key Points Summary
- Incircle of a Triangle
- Introduction
- Definition: In-Circle
- Definition: Incenter
- Definition: Inradius
- Step-by-Step Construction
- Key Points Summary
30 Symmetry (Including Constructions on Symmetry)
- Concept of Symmetry
- Introduction
- Definition: Symmetry
- Definition: Line of Symmetry
- Activity 1
- Activity 2
- Key Points Summary
- Reflection Symmetry in 2-D Shapes
- Introduction
- Reflection Symmetry
- Key Characteristics
- Shapes with Reflection Symmetry
- Real-Life Applications
- Construction of Symmetric Points and Lines
- Introduction
- Definition: Symmetric Point
- Locating a Symmetric Point
- Constructing a Line of Symmetry
- Letters and Their Symmetry
- Key Points Summary
31 Recognition of Solids
- Identification of 3-d Shapes
- Introduction
- Dimensions of Shapes
- The Three Main Views
- Common 3D Shapes
- Key Points Summary
- Faces, Edges and Vertices of Polyhedron
- Introduction
- Faces, Edges, and Vertices
- Cuboid
- Cube
- Cylinder
- Sphere
- Cone
- Prism
- Triangular Pyramid
- Quadrilateral Pyramid
- Key Points Summary
- Nets of 3D Figures
- Definition: Net
- Example
- Key Points Summary
- Oblique Sketches of 3D Shapes
- Introduction
- Step-by-Step Construction
- Example 1: Oblique Sketch of a Cube
- Real-life Application
- Key Points Summary
5: Mensuration
CISCE ICSE Class 6 Mathematics Syllabus
32 Perimeter and Area of Plane Figures
- Basic Concepts in Mensuration
- Introduction
- Plane Closed Figures
- Region of the Figure
- Key Points Summary
- Concept of Perimeter
- Introduction
- Formula: Perimeter
- Units of Perimeter
- Example 1
- Example 2
- Key Points Summary
- Perimeter of a Rectangle
- Introduction
- Formula : Perimeter of a Rectangle
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Perimeter of Squares
- Introduction
- Formula: Perimeter of Squares
- Example 1
- Example 2
- Key Points Summary
- Perimeter of an Equilateral Triangle
- Introduction
- Formula: Perimeter of an Equilateral Triangle
- Example 1
- Example 2
- Key Points Summary
- Problems based on Perimeter
- Perimeter Formulas
- Example 1
- Example 2
- Example 3
- Example 4
- Activity: Race Track Problem
- Key Points and Common Mistakes to Avoid
- Shapes with the Same Perimeter
- Introduction
- The Fixed Boundary Principle
- Example 1
- Example 2
- Real-Life Example
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Area of Rectangle
- Introduction
- Formula: Area of a Rectangle
- Example 1
- Example 2
- Key Points Summary
- Area of Square
- Introduction
- Formula: Area of a Square
- Example 1
- Example 2
- Key Points Summary
- Problems based on Area
- Features and Formulas
- Example 1
- Example 2
- Example 3
- Example 4
- Example 5
- Key Points Summary
6: Data Handling
CISCE ICSE Class 6 Mathematics Syllabus
33 Data Handling (Including Pictograph and Bar Graph)
- Mathematical Data Collection and Organisation
- Introduction
- Definition: Data
- Definition: Raw Data
- Organising Data
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Frequency Distribution and Its Applications
- Introduction
- Frequency Distribution & Data Arrangement
- Structure of a Frequency Distribution Table
- Example
- Real-life Applications
- Key Points Summary
- Pictographs
- Introduction
- Scale
- Example 1
- Example 2
- Key Points Summary
- Bar Graphs
- Introduction
- Elements of Bar Graph
- Example 1
- Example 2
- Example 3
- Key Points summary
34 Mean and Median
- Concept of Mean (Average)
- Introduction
- Definition: Mean (or Average)
- Formula: Average
- Example 1
- Example 2
- Types of Averages
- Basic Concept of Median
- Definition: Median
- Formula: Odd Number of Observations
- Formula: Even Number of Observations
- Example 1
- Example 2
- Example 3
- Key Points Summary
