 # Telangana Board class 7 Mathematics Syllabus

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.

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 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 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. 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 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. Symmetry 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