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.
The Board of Secondary Education,Telangana formulated the syllabus in such a way to provide a 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
Integers:
 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 viceversa.
 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.
Triangles:
 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:
 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)
Quadrilaterals
 Quadrilateraldefinition.
 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.
Symmetry
 Recalling reflection, line symmetry, lines of symmetry for regular polygons.
 Idea of rotational symmetry and its observations of rotational symmetry of 2D 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 viceversa
Understanding 3D in 2D shapes:
 Nets for cube, cuboids, cylinders, cones and tetrahedrons.
 Drawing 3D figures in 2D 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 bargraphs Constructing double bar graphs.
 Simple pie charts with reasonable data numbers
