Telangana Board class 7 Mathematics Syllabus 2021-22

Telangana Board Class 7 Maths Syllabus is a very crucial reference material for students. Mathematics is merely not only a subject of study. In today’s world, it becomes a language for communication and thought process. It is a rudimentary subject for the development of Scientific knowledge and technological importance. Mathematics is the nucleus for all the subjects.

Telangana Board Class 7 Maths Syllabus 2021-22

The Board of Secondary Education,Telangana formulated the Telangana Board Class 7 Mathematics syllabus, in such a way to provide sound knowledge on Mathematics. The main objectives are:

  • Developing Mathematical way of thinking
  • Application of Mathematics in our real life situation
  • Developing a positive attitude towards a study of Mathematics.

Here is the Mathematics  syllabus for Class 7 Telangana Board:

Chapter No Chapter Name
1 Number System


  • Addition, Subtraction, Multiplication and Division of integers
  • Properties of integers under addition, multiplication & division through patterns
  • Word problems involving integers

Fractions Decimals and rational numbers:

  • Multiplication of fractions
  • Fraction as an operator “of”
  • Division of fractions
  • Reciprocal of a fraction and its use
  •  Word problems involving mixed fractions ( related to daily life)
  • Introduction to rational numbers
  • Multiplication and division of decimal fractions
  • Conversion of units (length & mass)
  • Comparison of rational numbers
2 Algebra

Exponents and powers

  • Meaning of x in ax where a  Z
  • Writing a number in the exponential form through prime factorization.
  • Laws of exponents
  • Terms with negative base.
  • Expressing large number in standard form (Scientific Notation)

Algebraic Expressions Introduction

  • Identifying constants, coefficient, powers
  • Like and unlike terms, degree of expressions
  • Types of algebraic expressions.
  • Addition, subtraction of algebraic expressions (coefficients should be integers).
  • Finding the value of the expression

Simple equations

  • Simple linear equations in one variable (in contextual problems) with two operations (integers as coefficients)
3 Ratio – Applications

  • Ratio and proportion (revision)
  • Unitary method continued, consolidation, general expression.
  • Direct proportion
  • Percentage- an introduction.
  • Understanding percentage as a fraction with denominator 100.
  • Converting fractions and decimals into percentage and vice-versa.
  • Application to profit and loss
  • Discount.
  • Application to simple interest
4 Geometry

Lines and Angles

  • Pairs of angles (linear pair)

1. complementary,

2. Supplementary,

3. adjacent, vertically opposite     angles. (verification and simple proof of vertically opposite angles)

  • Transversal – Angles formed by the transversal.
  • Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles, interior angles on the same side of transversal.


  • Definition of triangle.
  • Types of triangles according to sides and angles
  • Properties of triangles Sum of the sides, difference of two sides.
  • Angle sum property (with the notion of proof and verification through paper folding, proofs , using property of parallel lines , difference between proof and verification
  • Exterior angle property of triangle
  • Median and Altitude of a triangle, centroid


  • Congruence through superposition ex. Blades, stamps etc..
  • Extend congruence to simple geometrical shapes ex: Triangle , Circles,
  • Criteria of congruence (by verification only)
  • Property of congruence of triangles SAS, SSS, ASA, RHS Properties with figures

Construction of triangles

  • Constructing a Triangles when the lengths of its 3 sides are known (SSS Criterion)
  • Constructing a triangle when the lengths of 2 sides and the measures of the angles between them are known (SAS criterion)
  • Constructing triangle when the measures of 2 of its angles and length of the side included between them is given (ASA criterion)
  • Constructing a right angle triangle when the length of one leg hypotenuse are given (RHS criterion).
  • Constructing a triangle when the lengths of 2 sides and the measures of the non included angle are known (SSA criterion)


  • Quadrilateral-definition.
  • Quadrilateral, sides, angles, diagonals.
  • Interior, exterior of quadrilateral  Convex, concave quadrilateral differences with diagrams
  • Angle sum property (By verification) , problems
  • Types of quadrilaterals
  • Properties of parallelogram, trapezium, rhombus, rectangle,etc.


  • Recalling reflection, line symmetry, lines of symmetry for regular polygons.
  • Idea of rotational symmetry and its  observations of rotational symmetry of 2-D objects. (90, 120, 180)
  • Operation of rotation through 90 and 180 of simple figures.
  • Order of rotational symmetry
  • Examples of figures with both rotation and reflection symmetry
  • Examples of figures having reflection and rotation symmetry and vice-versa

Understanding 3-D in 2-D shapes:

  • Nets for cube, cuboids, cylinders, cones and tetrahedrons.
  • Drawing 3-D figures in 2-D showing hidden faces through oblique sketches and Isometric sketches.
5 Mensuration

Area and Perimeter

  • Revision of perimeter and Area of Rectangle, Square.
  • Area of parallelogram.
  • Area of a triangle
  • Area of rhombus.
  • Idea of Circumference of Circle.
  • Area of rectangular paths.
6 Data handling

  • Collection and organisation of data.
  • Mean median and mode of ungrouped data
  • Reading bar-graphs Constructing double bar graphs.
  • Simple pie charts with reasonable data numbers


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