## Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus - Free PDF Download

Tamil Nadu Board of Secondary Education Syllabus 2024-25 Class 7: The Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus for the examination year 2024-25 has been released by the , 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 2024-25 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 2024-25 is below.

## Tamil Nadu Board of Secondary Education Class 7 Mathematics Revised Syllabus

Tamil Nadu Board of Secondary Education Class 7 Mathematics and their Unit wise marks distribution

### Tamil Nadu Board of Secondary Education Class 7 Mathematics Course Structure 2024-25 With Marking Scheme

# | Unit/Topic | Weightage |
---|---|---|

I | 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 | |

II | Term - 2 | |

2.1 | Number System | |

2.2 | Measurements | |

2.3 | Algebra | |

2.4 | Geometry | |

2.5 | Information Processing | |

III | 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

### Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus for Chapter 1: Term - 1

- Concept of Integers
- Representation of Integers on the Number Line
- Concept for Ordering of Integers
- Addition of Integers
- Addition of Integers on Number line
- Subtraction of Integers
- Subtraction of Integers
- Subtraction of Integers on a Number Line

- 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
- Closure Property of Multiplication of Integers

- Closure Property of Multiplication of Integers

- Associative Property of Multiplication of Integers

- Distributive Property of Multiplication of Integers

- Multiplicative Identity of Integers

- Division of Integers
- Properties of Division of Integers
- Statement Problems on Integers Using All Fundamental Operations.

- Concept of Perimeter
- Concept of Area
- Types of Quadrilaterals
- 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

- Algebraic Expressions
- Variable
- Constant
- Algebraic Expressions
- Value of Expression
- Number line and an expression

- Terms, Factors and Coefficients of Expression
- Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials
- Like and Unlike Terms
- Evaluation of Algebraic Expressions by Substituting a Value for the Variable.
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Expressions with Variables
- Balancing an Equation
- The Solution of an Equation

- Concept of Ratio
- Concept of Proportion
- Proportion
- Continued or mean proportion
- Proportionality law

- Concept of Direct Proportion
- Concept of Unitary Method
- Concept of Inverse Proportion

- Concept of Line
- Line
- Collinear points
- Non-collinear points
- Distance of a point from a line

- Concept of Line Segment
- Line segment
- Congruent line segments
- Properties of congruent line segments
- The midpoint of a line segment
- Comparison of line segments
- Perpendicularity of line segments

- Concept of Ray
- Ray
- Perpendicularity of rays

- Parallel Lines
- Concept of Intersecting Lines
- Concept of Points
- Concept of Angle - Arms, Vertex, Interior and Exterior Region
- Types of Angles- Acute, Obtuse, Right, Straight, Reflex, Complete and Zero Angle.
- Related Angles
- Complementary Angles

- Supplementary Angles

- Adjacent Angles

- Concept of Linear Pair

- Concept of Vertically Opposite Angles

- Pairs of Lines - Transversal
- Pairs of Lines - Angles Made by a Transversal
- Pairs of Lines - Transversal of Parallel Lines
- Drawing the Perpendicular Bisector of a Line Segment
- Constructing a Bisector of an Angle
- Angles of Special Measures - 30°, 45°, 60°, 90°, and 120°

- Tetromino
- Filling rectangular tiles using Tetrominoes

- Route Map
- To find the “Shortest “ route.

### Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus for Chapter 2: Term - 2

- Concept of Decimal Numbers
- Concept of Tenths, Hundredths and Thousandths in Decimal
- Place Value in the Context of Decimal Fraction
- Interconversion of Fraction and Decimal
- Comparing Decimal Numbers
- Comparison when whole parts equal
- Comparison when whole parts are unequal

- Representing Decimals on the Number Line

- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Circumference of a Circle
- Area of Circle
- Area of Pathways
- Circular Pathways
- Rectangular Pathways

- Concept of Exponents
- Laws of Exponents
- Multiplying Powers with the Same Base

- Dividing Powers with the Same Base

- Taking Power of a Power

- Multiplying Powers with Different Base and Same Exponents

- Dividing Powers with Different Base and Same Exponents

- Unit Digit of Numbers in Exponential Form
- Algebraic Expressions
- Variable
- Constant
- Algebraic Expressions
- Value of Expression
- Number line and an expression

- Terms, Factors and Coefficients of Expression
- Like and Unlike Terms
- Degree of Expressions

- Concept of Triangles - Sides, Angles, Vertices, Interior and Exterior of Triangle
- Classification of Triangles (On the Basis of Sides, and of Angles)
- Equilateral Triangle

- Isosceles Triangles

- Scalene Triangle

- Acute Angled Triangle

- Obtuse Angled Triangle

- Right Angled Triangle

- Angle Sum Property of a Triangle
- Exterior Angle of a Triangle and Its Property
- An exterior angle of a triangle is equal to the sum of its interior opposite angles.
- an exterior angle of a triangle is greater than its remote interior angle.
- The sum of exterior angles of a triangle is 360°.

- Congruency of Shapes
- Congruence Among Line Segments
- Congruence of Plane Figures
- Congruence of Angles
- Congruence of Triangles
- Criteria for Congruence of Triangles
- SSS Congruence Criterion

- SAS Congruence Criterion

- ASA Congruence Criterion

- RHS Congruence Criterion

- Tables and Patterns Leading to Linear Functions
- Pascal’s Triangle

### Tamil Nadu Board of Secondary Education Class 7 Mathematics Syllabus for Chapter 3: Term - 3

- Concept of Decimal Numbers
- Rounding of Decimals
- Addition of Decimal Numbers
- Grid model
- Area model
- Place value grid model

- Subtraction of Decimals Fraction
- Grid model
- Area model
- Place value grid model

- Multiplication of Decimal Numbers
- Decimal multiplication through models

- Multiplication of Decimal Numbers by 10, 100 and 1000
- Division of Decimal Numbers
- Decimal Division through models.

- Division of Decimal Numbers by 10, 100 and 1000

- Division of a Decimal Number by a Whole Number

- Division of a Decimal Number by Another Decimal Number

- Concept of Percent and Percentage
- Converting Fractional Numbers to Percentage
- Converting Percentages to Fractions
- Converting Decimals to Percentage
- Converting Percentages to Decimals
- Estimation in Percentages
- Interpreting Percentages
- Ratios to Percents
- Increase Or Decrease as Percent
- Profit or Loss as a Percentage
- Concept of Principal, Interest, Amount, and Simple Interest
- Simple Interest for one year
- Simple Interest for multiple years

- 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)
- Inequation
- Solving Linear Inequations
- Rules to solve inequation

- Graphical Representation of Inequation

- Concept of Lines Symmetry
- Figures with one Line of Symmetry
- Figures with two Line of Symmetry
- Figures with more Line of Symmetry

- Concept of Reflection Symmetry
- Translational Symmetry
- Concept of Symmetry
- Symmetry Through Transformations
- Translation
- Reflection: How to reflect a shape about a line?
- Rotation: How to rotate a shape about a point?

- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Construction of a Circle When Its Radius is Known
- Construction of Concentric Circles

- Concept of Data Handling
- Data Handling
- Data
- Types of Data

- Collection of Data
- Organisation of Data
- Ungrouped Data
- Grouped Data

- Concept of Representative Values - Average
- Arithmetic Mean - Raw Data
- Concept of Mode
- Concept of Median

- Scheduling
- Representation of Algorithms
- Flowchart
- Flowchart
- Types of Flowchart: Sequential flowchart, Conditional flowchart.

- Flowchart