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:
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
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 linear equations in one variable (in contextual problems) with two operations (integers as coefficients)
Ratio – Applications
Ratio and proportion (revision)
Unitary method continued, consolidation, general expression.
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
Application to simple interest
Lines and Angles
Pairs of angles (linear pair)
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, 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.
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.
Collection and organisation of data.
Mean median and mode of ungrouped data
Reading bar-graphs Constructing double bar graphs.