KVS TGT Maths Syllabus

• General English
• General Hindi

(10 questions in English and 10 questions in Hindi)

• General Awareness & Current Affairs (10 questions)
• Reasoning Ability (5 questions)
•  Computer Literacy (5 questions)

• Understanding the Learner-(10 questions)
• Understanding Teaching Learning -(15 questions)

15 Marks for the remaining 

• Creating Conducive Learning Environment 
• School Organization and Leadership 
• Perspectives in Education

• Demo Teaching – 30 marks
• Interview- 30 Marks

• Review of representation of natural numbers, integers, and rational numbers on the number line.
•  Rational numbers as recurring/ terminating decimals. 
• Operations on real numbers. 
• Examples of non-recurring/non-terminating decimals. 
• Existence of non-rational numbers (irrational numbers) such as J2, i3 , and their representation on the number line. 
• Definition of nth root of a real number. 
• Laws of exponents with integral powers. Rational exponents with positive real bases

• Definition of a polynomial in one variable, with examples and counter examples.
• Coefficients of a polynomial, terms of a polynomial and zero polynomial. 
• Degree of a polynomial. 
• Constant, linear, quadratic and cubic polynomials. 
• Monomials, binomials, trinomials. 
• Factors and multiples. 
• Zeros of a polynomial. 
• Relationship between zeros and coefficients of quadratic polynomials. 
• Remainder Theorem with examples, Factor Theorem.  

• Linear equations in one variable.
• Introduction to the equation in two variables. 
• Focus on linear equations of the type ax + by + c=0.
• Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line. 

• Pair of linear equations in two variables and graphical method of their solution consistency/inconsistency.
• Algebraic conditions for a number of solutions.
• Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination.Simple situational problems. 

• Standard form of a quadratic equation ax2 + bx + c = 0, (a 0 0). 
• Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. 
• Relationship between discriminant and nature of roots. 

• Arithmetic Progression, nth term and sum of the first n terms of A.P. and their application in solving daily life problems.  

• The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations. 
• Graphs of linear equations. 
• Distance formula. 
• Section formula (internal division)

• History – Geometry in India and Euclid’s geometry. 
• Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. 
• The five postulates of Euclid. 

• The diagonal divides a parallelogram into two congruent triangles. 
• In a parallelogram opposite sides are equal, and conversely. 
• In a parallelogram opposite angles are equal, and conversely.
• A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. 

• Equal chords of a circle subtend equal angles at the center and (motivate) its converse. 
• The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
•  Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.