TN TET Syllabus Paper 2 - Mathematics - PDF Download

 

 

 

TN TET Paper II Mathematics Syllabus (2025)

📚 TNTET 2025 Paper II Syllabus – Classes 6th Mathematics

(TNTET Paper 2 Syllabus 2025, Class-wise syllabus, Subject-wise TNTET syllabus, Tamil Nadu TET Upper Primary Syllabus)

TET Paper 2 - 6th, 7th, 8th Mathematics Syllabus

• Number System – Whole Numbers, Integers, Decimals, Rational Numbers
• Measurements – Length, Area, Perimeter, Time
• Algebra – Basics, Expressions, Simple Equations
• Geometry – Lines, Angles, Triangles, Symmetry, Constructions
• Data Handling – Pictographs, Bar Graphs
• Life Mathematics – Ratio, Proportion, Percentage, Profit & Loss, SI

 

 

 

 

 

 

TET Paper 2 - Mathematics Syllabus 

6th Maths

NUMBER SYSTEM – I

Numbers and operations.

•  Understand the concepts of numbers using place value (up to 8 digits), number names and numerals
•  Understand Indian and international representation of large numbers
•  Understand estimate large numbers (5 digits and beyond)
•  Identify smaller/larger numbers, compare using <, >, = symbols, arrange in ascending/ descending
• order.
•  Perform the four fundamental operations (answers not to exceed six digits) and applies the right operation in word problems.
•  Perform operations in the right order using BIDMAS rule Whole numbers
•  Understand the extension of natural numbers to whole numbers
•  To represent whole numbers on number line.
•  Understand the four properties of numbers with emphasis on terminologies (closure, commutative, associative, distributive properties over addition and multiplication identity in whole numbers over addition and multiplication). Test of divisibility
•  Recall the concepts of factors and multiples with the aid of multiplication tables up to 10.
•  Understand the rules of divisibility test and apply it to numbers 2, 3, 4, 5, 6, 8, 9, 10 and 11. Prime numbers
•  Recall the classification of even and odd numbers.
•  Understand the concept of Prime and composite numbers Factorization
•  Factorize 2-digit numbers.
•  Learn prime factorization of a given
• number

NUMBER SYSTEM-II

LCM &HCF 

•  Understand the concepts of HCF and LCM
•  Understand the concept of co-prime numbers.
•  Calculate HCF and LCM by prime factorization method and division method.
•  Deduce the relationship between LCM and HCF and the product of two numbers.
•  Able to solve word problems involving HCF and LCM Introduction of Integers
•  Understand the necessity for extension of whole numbers to negative numbers.
•  Understand that the collection of positive integers, negative integers and zero forms integers.
•  Represent integers on the number line.
•  Compare integers and arrange them in ascending / descending order.

Arithmetic of Fractions

•  Revise notion of fractions and fraction addition/subtraction
•  Understand mixed and improper fractions and convert from one to the other
•  Able to multiply and divide fractions by other fractions
•  To find the reciprocal of a fraction.
•  Able to solve word problems that involve fractions (with all four operations).

II.Measurements

Measures of Time

•  Able to read time on a clock (Eg.1:15 min. as quarter pass one)
•  Use both 12-hour and 24-hour formats to read time and convert from one to another.
•  Able to find the duration between 2 time instances.
•  Able to convert from one unit of time to the other – seconds to minutes and hours and vice – versa, days to weeks, years, leap year and vice – versa. Area and Perimeter
•  Understand the concept of area and perimeter of plane figures.
•  Learn to find the area and perimeter of square, rectangle, right triangle and combined shapes.
• Conversion of Square units 
•  Convert Square units (Eg. cm2 to m2)

III. ALGEBRA

•  Introduction to variable through patterns and through appropriate word problems and generalizations.
•  To generate such patterns with more examples.
•  To solve unknowns through examples with simple contexts (single operations).

IV. LIFE MATHEMATICS

Ratio and Proportion 

•  Understand the concept of Ratio
•  Understand that Proportion is same as the ratio of two.
•  Able to calculate the needed quantity using unitary method (with only direct variation implied).
• Shopping
•  Able to prepare a bill.
•  To Verify the bill amount. Profit and loss
•  Able to calculate cost price, Selling Price and Profit/Loss.

V.GEOMETRY

Introduction to point , line, ray , segment and planes

•  Understand fundamental geometrical terms -points, lines, rays, segments and planes.
•  Understand collinear points and concurrent lines, point of concurrency
•  Understand parallel and perpendicular lines.Angles and their types 
•  Understand the concept of angles.
•  Identify vertex, arms and measure of angles.
•  Understand right, acute, obtuse and straight angles.
•  Understand complementary & supplementary angles and find complementary and supplementary
• angles for the given angles. Types of Triangles
•  Able to recognize different kinds of triangles based on (a) length of sides (b) measures of angles. Symmetry
•  Able to find symmetrical objects in Surrounding.
•  Learn types of symmetry 

PRACTICAL GEOMETRY

Constructions

•  Identify Geometrical instruments.
•  Able to measure and draw line segment.
•  Able to construct parallel and perpendicular lines using set square.
•  Able to draw given angles using protractor.

VI.STATISTICS

Introduction

•  Understand the necessity to collect data.
•  Organize collected discrete data using tally marks and a table.
•  Able to form a frequency table. Pictograph
•  Able to interpret a pictograph and understand the need for scaling. Bar graph
•  Able to interpret data from bar graphs.
•  Able to construct bar graphs from the given data.

VII.

INFORMATION

PROCESSING

Systematic Listing, Completion and Counting,

•  Able to order number/colour systematically
•  Able to solve Sudoku & magic triangles by systematic completion
•  Able to count more figures in a figure in a systematic way. Modelling
•  Tree diagrams for numerical expressions; what regrouping does to the shape of the tree. Iterative patterns and processes
•  Euclid's algorithm, Euclid's game: (Ref:https://en.wikipedia.org/wiki/Eu clidean_algorithm) Following and Devising Algorithms
•  Sorting given information on different attributes.
•  Disordering given ordered information.

7th Maths

NUMBER SYSTEM – I

Arithmetic of Integers

•  Understand addition and subtraction of integers using number line.
•  Able to add and subtract integers using real life situation.
•  Able to multiply and divide integers by whole numbers.
•  Understand that division by zero is undefined
•  Able to multiply and divide integers by integers.
•  Solve word problems using the four fundamental operations on integers and applies appropriate operations in word problems. Properties of Integers
•  Understand closure, commutative, associative, distributive properties (multiplication over addition), additive and multiplicative identities, applied to integers.
•  Understand that all properties do not hold for all operations, and illustrate difference from whole numbers (example: closure property for subtraction) Decimal Numbers
•  Recall the notion of decimal point.
•  Understand place value in decimals.
•  Learn the concept of decimals as fractions with denominators of tens and its multiples.
•  Represent decimal Numbers on Number line.

Arithmetic of Decimals

•  Add and subtract decimal numbers.
•  Able to apply the appropriate operation in word problems- addition and subtraction of decimals.
•  Multiply and divide decimal numbers.
•  Able to solve word problems based on decimal numbers (all operations).

II.Measurement

Area and Perimeter

•  Revise the concepts of Perimeter and Area of Square, Rectangle, Right triangle and combined shapes.
•  Determine the area of Parallelogram, Rhombus, and Trapezium. Circle
•  Determine the area and circumference of Circles and its parts. Area of Pathway
•  Calculate the area of Pathway inside and outside the given rectangles and circles applying the concept of area of rectangle and circle respectively.

III. ALGEBRA

Algebraic Expressions

•  Identify constants and variables in a given term of an algebraic expression and coefficients of the terms.
•  Identify like and unlike terms.
•  To learn to write the degree of expressions like x2y, xyzetc.
•  Able to add and subtract algebraic expressions with integer coefficients
•  Able to form simple expressions with two variables. Solving simple linear equations
•  Solve simple linear equations (in contextual problems) (avoid complicated coefficients).
•  Represent inequalities of a single variable graphically. Exponents
•  Understand the laws of Exponents (through observing patterns and arrives at generalization.)
•  aman  amn where m,n ϵ N
•  (am)n amn where m,n ϵ N
•   where m,n ϵ N, m>n.
•  Find units digits of large numbers represented by exponents (ex: 2350) by observing patterns
• Algebraic identities 
•  To deduce identities with geometrical proofs, numerical examples and apply it in sums Able to recognize (simple cases only) expressions that are factorizable of the following types  a(x y), (x y)2, a2 
• b2

IV. LIFE MATHEMATICS

Recall: Ratio and Proportion 

•  To recall the concept of ratio and proportion. Inverse and Direct Proportion
•  Understand the concept of inverse proportion
•  Able to differentiate direct and inverse proportion and calculate the needed quantity using direct and inverse proportion. Fraction and decimal into percentage
•  Understand percentage as a fraction with denominator 100.
•  Able to convert fractions and decimals into percentages and vice-versa
•  To solve word problems based on percentage. Simple Interest
•  Able to calculate simple interest.

V.GEOMETRY

Properties of Parallel lines

•  Understand the properties of angles in intersecting lines, adjacent angles on a straight line, parallel lines and transversal lines. Properties of Triangles
•  Able to apply angle sum property of a triangle. Congruence triangles properties
•  Know the concept of congruency.
•  Know the criteria for congruency of triangles. (SSS, SAS, ASA, RHS). 

PATTERNS AND RELATIONS

Symmetry through transformation

• Recall the types of Symmetry through diagram
• Learn Symmetry through transformations (Translation, reflection, rotation and their combination)

PRACTICAL GEOMETRY

Constructions Construction using scale and compass.

•  Construct the perpendicular bisector of the given line segment.
•  Construct the angle bisector of the given angle.
•  Construct special angles without protractor 
•  Construction of triangles: given SSS, SAS, ASA.
•  Construct circles and concentric circles.

VI.STATISTICS

Collection and organization of discrete data

•  Collect and organize continuous data. Mean, Median, Mode
•  Calculate Mean, Median, Mode of ungrouped

VII. INFORMATION PROCESSING

Systematic Listing, Counting, Reasoning 

•  Tetraminoes: make all the shapes. (How many up to rotations and flips). Modelling
•  Simple road map of town; roads carry costs; cost of routes; minimal cost paths. Iterative patterns and processes
•  Given table, find the function. 
•  Pascal's triangle. Following and Devising Algorithms
•  Making "best" schedules, time-tables, deciding order of tasks under given
• set of constraints. 
•  Creating and using flowcharts.

8th Maths

NUMBER SYSTEM – I

Rational Numbers

•  Understand the necessity for extending fractions to rational numbers.
•  Represent rational number on number line.
•  Understand that between any two rational numbers there lies another rational number

Arithmetic of Rational Numbers

•  Learn to perform all four operations on rational numbers.
•  Able to solve word problems on all operations. Properties of Rational numbers
•  Understand the four properties of rational numbers, additive identity and multiplicative identity.

Simplify Expression with three brackets 

•  Able to simplify expressions with utmost three brackets. Powers
•  Express numbers in exponential form with integers as exponents.
•  Understand the laws of exponents with integral powers.
•  Able to calculate square and square roots of integers. - Square roots using factor method and division method for numbers containing o more than 4 digits o not more than 2 decimal places (in case of imperfect squares)
•  To recognize cubes and cube roots (only factor method for numbers containing at most 3 digits).
•  Learn to estimate square roots and cube roots,  (Learning the process of moving nearer to the required number).
•  Able to calculate in easy ways and estimate the answer using all four fundamental operations
•  Able to approximate numbers up to three digits.

II.Measurements

Circles

•  To know the parts of a circle and identify and compare the relationship between radius and
• diameter. 
•  Introduce the concept of segment and chord.
•  Find the length of arc, area of sector. Area and Perimeter of combined Plane Figures.
•  Recall the concepts of area & perimeter for various quadrilaterals
•  Calculate the area of simple combined figures (Not more than three figures placed in juxtaposition)
• 3-Dimensional Shapes
•  Understand representation of 3-dimensional shapes in 2D
•  Understand representation of 3D objects with Cubes

III. ALGEBRA

Revision

•  Recall addition and subtraction of expressions. Algebraic Expressions
•  Able to multiply algebraic expressions with integer coefficients
•  Able to divide algebraic expressions by monomial
•  Able to understand and avoid some common errors (e.g. 2xx  x, 7 xxy  7 xy ) (x+2 = 2x / xy) (x) = 2xy Identities
•  To recall the identities for (a  b)2 ,(a  b)2 , a2  b2
•  Able to apply identities in problems
•  Numerical examples and applies it in sums Factorizations
•  Able to recognize (simple cases only) expressions that are factorizable of the following types
• (a+b)3 ,(a-b)3, (x+a)(x+b)(x+c) Solving linear equations
•  Able to solve word problems that involve linear equations (with simple coefficients)
• Graphs: 
•  Able to plot the points in the graph.
•  Able to plot graphs of simple linear functions (ex: y=5x)

IV. LIFE  MATHEMATICS

Revision

•  Profit, Loss and simple interest. Application of percentage, profit & loss, overhead
• expenses, Discount, tax. 
•  Solve problems involving applications of Percentages, Profit & Loss, overhead expenses,
• Discount, tax. Compound Interest
•  Able to find compound interest through patterns and use it in simple problems. (Compounded yearly up to 3 years or half-yearly up to 3 steps only).
•  Able to differentiate between simple and compound interest
•  Find the difference between CI and SI for 2 years and 3 years.
• (The numbers used for calculation purpose should be easy - otherwise, calculator can be used.)
• Compound variation 
•  Do problems on compound variation
•  Solve Time and Work problems– Simple and direct word problems.

V.GEOMETRY

Properties of Triangles 

•  Recall the properties of triangles Know the concept of similarity of triangles.
•  Know the criteria for similarity of triangles. (SSS, SAS, ASA, RHS).
•  Understand theorems based on properties of triangles and apply them to appropriate problems.
•  Understand Pythagoras theorem and solve problems using it. Concurrent Points of a triangle with definition
•  Understand the concurrency of medians, altitudes, angle bisectors and perpendicular bisectors in a
• triangle. Construction of Quadrilaterals: trapezium, parallelogram, rhombus, rectangle and square
•  Able to construct quadrilaterals: trapezium, parallelogram, rhombus, rectangle and square

VI.STATISTICS

Formation of frequency table 

•  Recall formation of frequency table. Representation
•  Draw Histogram, frequency polygon for grouped data 
•  Construct simple Pie- charts for the given data.

VII. INFORMATION PROCESSING

Systematic Listing, Counting, Reasoning 

•  Determine the number of possible orderings of an arbitrary number of objects, describe
• procedures for listing and counting all such orderings. Modelling
•  Games like SETS: https://en.wikipedia.org/wiki/Set_game
•  Map colouring using examples. Iterative patterns and processes
•  Given description of simple physical/biological system, predict future behaviour.
•  Devising and breaking simple codes. Following and Devising Algorithms
•  Best ways of packing objects into a bag / box.
•  Shopping to a budget, with constraints on money, weight, volume.

TRB TNTET Paper 2 Mathematics Syllabus in PDF Format - View & Download Here