Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus - Free PDF Download
Tamil Nadu Board of Secondary Education Syllabus 2026-27 Class 7: The Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus for the examination year 2026-27 has been released by the Tamil Nadu Board, Tamil Nadu Board of Secondary Education. 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 2026-27 Tamil Nadu Board of Secondary Education Class 7 Mathematics Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new Tamil Nadu Board of Secondary Education syllabus to prepare for their annual exam properly.
The detailed Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus for 2026-27 is below.
Academic year:
Tamil Nadu Board of Secondary Education Class 7 Mathematics Revised Syllabus
Tamil Nadu Board of Secondary Education Class 7 Mathematics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Term - 1 | |
| 1.1 | Number System | |
| 1.2 | Measurements | |
| 1.3 | Algebra | |
| 1.4 | Direct and Inverse Proportion | |
| 1.5 | Geometry | |
| 1.6 | Information Processing | |
| 2 | Term - 2 | |
| 2.1 | Number System | |
| 2.2 | Measurements | |
| 2.3 | Algebra | |
| 2.4 | Geometry | |
| 2.5 | Information Processing | |
| 3 | Term - 3 | |
| 3.1 | Number System | |
| 3.2 | Percentage and Simple Interest | |
| 3.3 | Algebra | |
| 3.4 | Geometry | |
| 3.5 | Statistics | |
| 3.6 | Information Processing | |
| Total | - |
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Syllabus
1: Term - 1
Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus
1.1 Number System
- Integers
- Definition: Integers
- Introduction to Integers and Their Representation
- Understanding the Collection of Integers through Sets
- Real-Life Application
- Key Points Summary
- Representation of Integers on the Number Line
- 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
- Properties of Addition and Subtraction of Integers
- Multiplication of a Positive and a Negative Integers
- Multiplication of Two Negative Integers
- Product of Three Or More Negative Integers
- Properties of Multiplication of Integers
- Division of Integers
- Properties of Division of Integers
- Statement Problems on Integers Using All Fundamental Operations.
1.2 Measurements
- Concept of Perimeter
- Introduction
- Formula: Perimeter
- Units of Perimeter
- Example 1
- Example 2
- Key Points Summary
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Properties of a Parallelogram
- Properties of Rhombus
- Properties of Trapezium
- Area of a Parallelogram
- Perimeter of Parallelogram
- Area of a Rhombus
- Area of the rhombus if base and height are given.
- Area of the rhombus if the diagonals are given.
- Area of Trapezium
1.3 Algebra
- Terms, Factors and Coefficients of Expression
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Classification of Terms in Algebra
- Introduction
- Parts of an Algebraic Expression
- Definition: Like Terms
- Definition: Unlike Terms
- Evaluation of Algebraic Expressions
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Expressions with Variables
- Equation in Mathematics
- Definition: Equation
- Balancing an Equation
- Word Problems on Linear Equations
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
1.4 Direct and Inverse Proportion
- Ratio
- Definition: Ratio
- Key Concepts in Ratios
- Examples
- Real-Life Application
- Proportion
- Definition: Proportion
- Rules of Proportion
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Applications
- Key Points Summary
- Concept of Direct Proportion
- 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
- Concept of Inverse Proportion
1.5 Geometry
- Concept of Lines
- Definition: Line
- Definition: Concurrent Lines
- Fundamental Properties and Representation of a Line
- Line Segments
- Definition: Line Segment
- Properties and Measurement of a Line Segment
- Activity: Understanding a Line Segment
- Rays
- Introduction
- Definition: Ray
- Properties and Representation of a Ray
- 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 of Points
- Definition: Point
- Fundamental Concept of a Point
- Definition: Collinear Points
- Definition: Non-Collinear Points
- Real-Life Examples
- Key Points Summary
- Types of Angles
- Introduction
- Types of Angles
- Activity: Exploring a Straight Angle Using Paper Folding
- Key Rotational Benchmarks
- Trigonometrical Ratios of Complementary Angles
- Related Angles
- Concept of Pairs of Angles
- Introduction
- Adjacent Angles
- Vertically Opposite Angles
- Congruent Angles
- Complementary Angles
- Supplementary Angles
- Example 1
- Example 2
- 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
- The Perpendicular Bisector
- Definition: Perpendicular Bisector
- Properties
- Construction of the Perpendicular Bisector
- Activity: Understanding the Perpendicular Bisector
- Concept of Angle Bisector
- Definition
- Properties of an Angle Bisector
- Activity
- Angles of Special Measures - 30°, 45°, 60°, 90°, and 120°
- Concept of Angle
- Introduction
- Parts of an Angle
- Naming and Representation of an Angle
- Example
- Real-Life Examples
1.6 Information Processing
- Tetromino
- Filling rectangular tiles using Tetrominoes
- Route Map
- To find the “Shortest “ route.
2: Term - 2
Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus
2.1 Number System
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
- Decimal 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
- 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
- Comparing Decimal Numbers
- Comparison when whole parts equal
- Comparison when whole parts are unequal
- Decimals on the Number Line
2.2 Measurements
- Basic Concept of Circle
- Introduction
- Definition: Circle
- Definition: Radius
- Definition: Diameter
- Definition: Chord
- Example
- Real-Life Applications
- Key Points Summary
- Circumference of a Circle
- Area of Circle
- Area of Pathways
- Circular Pathways
- Rectangular Pathways
2.3 Algebra
- Concept of Exponents
- Laws of Exponents
- Unit Digit of Numbers in Exponential Form
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Terms, Factors and Coefficients of Expression
- Classification of Terms in Algebra
- Introduction
- Parts of an Algebraic Expression
- Definition: Like Terms
- Definition: Unlike Terms
- Degree of Expressions
2.4 Geometry
- Basic Concepts of Triangles
- Definition:Triangle
- Parts of a Triangle
- Basic Properties of a Triangle
- Key Points Summary
- Classification of Triangles based on Sides
- Introduction
- Classification of Triangles based on Sides
- Key Points Summary
- Classification of Triangles based on Angles
- Introduction
- Classification of Triangles based on Angles
- Key Points Summary
- Basic Properties of a Triangle
- Sum of the three angles of a triangle = 180°
- Sum of any two sides is greater than the third side.
- Activity 1
- Activity 2
- Exterior Angle of a Triangle and Its Property
- Definition: Exterior Angle
- Properties of Exterior Angles
- Example
- Key Points Summary
- Similarity and Congruency of Figures
- Definition: Similarity of Figures
- Examples
- Congruence Among Line Segments
- Congruence of Angles
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Criteria for Similarity of Triangles
2.5 Information Processing
- Tables and Patterns Leading to Linear Functions
- Pascal’s Triangle
3: Term - 3
Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus
3.1 Number System
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
- Rounding of Decimals
- 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
3.2 Percentage and Simple Interest
- 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
- Estimation in Percentages
- Interpreting Percentages
- Ratios to Percents
- Increase Or Decrease as Percent
- Profit or Loss as a Percentage
- Profit Percentage
- Loss Percentage
- Formula
- Understanding Profit or Loss Percentage with Example
- Calculation of Interest
- Introduction
- Important Terms
- Formula: Simple Interest
- Calculation of Interest
- Examples
3.3 Algebra
- Concept of Identity
- Geometrical Approach to Multiplication of Monomials
- Expansion of (x + a)(x + b)
- Expansion of (a + b)2 = a2 + 2ab + b2
- Expansion of (a - b)2 = a2 - 2ab + b2
- Expansion of (a + b)(a - b) = a2-b2
- Linear Inequations
- Definition: Linear lnequations
- Signs of Inequality
- Definition: Replacement Set / Domain of Variable
- Definition: Solution Set
- Properties
- Method of Solving a Linear Inequality
- Rules to solve inequation
- Representation of Inequalities
3.4 Geometry
- Concept of Symmetry
- Introduction
- Definition: Symmetry
- Definition: Line of Symmetry
- Activity 1
- Activity 2
- Key Points Summary
- Reflection Symmetry (Mirror Symmetry)
- Definition: Reflectional Symmetry
- Axis of Symmetry
- Examples
- Translational Symmetry
- Symmetry Through Transformations
- Translation
- Reflection: How to reflect a shape about a line?
- Rotation: How to rotate a shape about a point?
- Basic Concept of Circle
- Introduction
- Definition: Circle
- Definition: Radius
- Definition: Diameter
- Definition: Chord
- Example
- Real-Life Applications
- Key Points Summary
- Construction of a Circle When Its Radius is Known
- Construction of Concentric Circles
3.5 Statistics
- 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
- Concept of Representative Values - Average
- Arithmetic Mean
- Basic Concept of Mode
- 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
3.6 Information Processing
- Scheduling
- Flowchart
