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CBSE Class 2 Syllabus For All Subjects PDF Download

The board has already released a list of vocational subjects for the examinations that will be conducted from February to Marchthe schedule and 2nd standard cbse maths syllabus limited of the examinations will be released later.

Apart from ranger 461 bass boat for sale to 40 different vocational subjects, the board will conduct exams for Typography and Computer Applications English 2nd standard cbse maths syllabus limited, Web applications, Graphics, Office Communication, etc in February as these subjects have larger practical component, and shorter theory papers.

Unit II: Algebra 1. Polynomials Periods 6 Zeros of a polynomial. Relationship between zeros and coefficients of a polynomial with particular reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. Algebraic conditions for a number of solutions. The solution of a pair of linear equations in two variables algebraically � by substitution, by elimination and by cross multiplication.

Simple situational problems must be included. Simple problems on equations reducible to linear equations 2nd standard cbse maths syllabus limited be included. Solution of quadratic equations only real roots by factorization and by completing the square, i. The relationship between discriminant and the nature of roots.

Problems related to day-to-day activities to be incorporated. Derivation of standard results of finding the nth term and sum of first n terms.

Unit III: Trigonometry 1. Introduction to Trigonometry Periods 18 Trigonometric ratios of an acute angle of a right-angled triangle. Relationships between the ratios. Only simple identities to be given. Trigonometric ratios of complementary angles. Heights and Distances Periods 8 Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Unit IV: Coordinate Geometry Lines In two-dimensions Periods 15 Review the concepts of coordinate geometry done earlier including graphs of linear equations.

Awareness of geometrical representation of quadratic polynomials. The distance between two points and section formula internal. Area of a triangle. Unit V: Geometry 1. Triangles Periods 15 Definitions, examples, counterexamples of similar triangles. Prove If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Motivate If a line divides two sides of a triangle in the same ratio, the line is parallel to the third. Motivate If in two triangles, 2nd standard cbse maths syllabus limited corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

Motivate If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. Motivate If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. Motivate If a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each.

Prove The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides. Prove In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Prove In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.

Circles Periods 8 Tangents to a circle motivated by chords drawn from 2nd Standard Cbse Maths Syllabus File points coming closer and closer to the point. Prove The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove The lengths of tangents drawn from an external point to a circle are equal. Constructions Periods 8 1. Division of a line segment in a given ratio internally. Tangent to a circle from a point outside it. Construction of a triangle similar to a given triangle. Unit VI: Mensuration 1. Areas Related to Circles Periods 12 Motivate the area of a circle; area of sectors and segments of a circle. Plane figures involving triangles, simple quadrilaterals and circle should be taken.

Surface Areas and Volumes Periods 12 1. Frustum of a cone. Problems involving converting one type of metallic solid into another and other mixed problems. Problems with combination of not more than two different solids be taken. Statistics Periods 15 Mean, median and mode of grouped data bimodal situation to be avoided. Cumulative frequency graph. Probability Periods 10 Classical definition of probability.

Connection with probability as given in Class IX. Simple problems on single events, not using set notation. Appendix 1. Further 2nd standard cbse maths syllabus limited of deductive proof with complete arguments using simple results from arithmetic, algebra and geometry.

Training of using only the given facts irrespective of their truths to arrive at the required conclusion. Mathematical Modelling Reinforcing the concept of mathematical modelling, using simple examples of models where some constraints are ignored.

Estimating probability of occurrence of certain events and estimating averages may be considered. Modelling fair instalments payments, using only simple interest and future value use of AP.

Unit I: Relations and Functions 1. Relations and Functions Types of relations: Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations. Inverse Trigonometric Functions Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

Unit II: Albegra 1. Matrices Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication.

Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product ranger 461 bass boat for sale to the zero matrix restrict to square matrices of order 2. Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; Here all matrices will have real entries. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or ranger 461 bass boat for sale to variables having unique solution using inverse of a matrix.

Continuity and Differentiability Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.

Concept of exponential and logarithmic functions and their derivatives. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Simple problems that illustrate basic principles and understanding of the subject as well as real-life situations.

Integrals Integration as inverse process of differentiation. Definite integrals as a limit of a sum. Fundamental Ranger 461 bass boat for sale to of Calculus without proof.

Basic properties of definite integrals and evaluation of definite integrals. Differential Equations Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general ranger 461 bass boat for sale to is given.

Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Vectors Vectors and scalars, magnitude and direction of a vector. Types of vectors equal, unit, zero, parallel and collinear vectorsposition vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio.

Scalar dot product of vectors, projection of a vector on a line. Vector cross product of vectors. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between i two lines, ii two planes, iii a line and a plane.

Distance of a point from a 2nd standard cbse maths syllabus limited. Unit V: Linear Programming Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming L.

Unit VI: Probability Multiplication theorem on probability.

Moreover, the PDF material can be downloaded without incurring any cost. Notify me via e-mail if anyone answers my comment. Uses the concept of place value in the comparison of numbers. Click Here. Do practice of drawing on sand paper. Traces the 2-D outlines of 3-D objects. EVS is concerned with the exploration, investigation and development of an understanding of the natural, human, social and cultural dimensions of local and wider environments.
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