Telangana Board class 7 Mathematics Syllabus 2021-22

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

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)

• 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

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.

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.
• Simple pie charts with reasonable data numbers