Class: XII
         Subject: Mathematics
          NO. OF          TOPIC                    SUB-TOPIC                   LEARNING OBJECTIVES /             ASSESSMENT /             LEARNING OUTCOMES
          PERIOD                                                               SKILLS TO BE DEVELOPED              ACTIVITIES
            15       Continuity and      Continuity, Differentiability,     Points of discontinuity of          Practice sheet       To identify points of discontinuity
                     differentiability   Exponential and logarithmic        functions, identify points of                            of functions, To identify points of
                                         functions, Logarithmic             non-differentiability of                                 non-differentiability of functions,
                                         differentiation, Derivatives in    functions, derivatives of                                To find derivatives of exponential
                                         parametric form, Second            exponential and logarithmic                              and logarithmic functions, To find
                                         order derivatives, Mean            functions, derivatives of                                derivatives of functions in
                                         value theorem                      functions in parametric form                             parametric form
            15       Applications of     Rate of change of Quantities,      Rate of change of dependent         Practice sheet       To find Rate of change of
                     Derivatives         Increasing and decreasing          variable due to change in                                dependent variable due to
                                         functions, Tangents and            independent variable,                                    change in independent variable,
                                         normal, Approximations,            increasing and decreasing                                To identify increasing and
                                         Maxima and minima                  functions, equation of tangent                           decreasing functions, To find
                                                                            and normal at a point on the                             equation of tangent and normal
                                                                            given curve, error in a variable                         at a point on the given curve, To
                                                                            due to error in another                                  find error in a variable due to
                                                                            variable, approximate values                             error in another variable, To find
                                                                            of quantities using derivatives,                         approximate values of quantities
                                                                            maxima and minima points of                              using derivatives, To find maxima
                                                                            a function                                               and minima points of a function
            12       Matrices            Types of Matrices,                 Add 2 matrices, Expressing          Practice sheet       To add 2 matrices, Expressing
                                         Operations on matrices,            matrix as sum of symmetric                               matrix as sum of symmetric and
                                         Transpose of a matrix,             and skew symmetric matrices,                             skew symmetric matrices, To find
                                         Symmetric and skew                 inverse of a matrix by using                             inverse of a matrix by using
                                         symmetric matrices,                elementary row                                           elementary row transformations
                                         Elementary row                     transformations
                                         transformations of a matrix,
                                         Inverse of a matrix
         Taurian World School, Ranchi                                                                                                                    1|Page
        Class: XII
        Subject: Mathematics
         NO. OF         TOPIC                 SUB-TOPIC                 LEARNING OBJECTIVES /         ASSESSMENT /           LEARNINGOUTCOMES
         PERIOD                                                        SKILLS TO BE DEVELOPED           ACTIVITIES
           12      Determinants      Properties of determinants,     Area of triangle, To            Practice sheet     To find area of triangle, To
                                     Area of a triangle, Minors      understand properties to                           understand properties to simplify
                                     and cofactors, Adjoint and      simplify determinants, system                      determinants, To solve system of
                                     inverse of a matrix,            of equations using matrices.                       equations using matrices.
                                     Applications of determinants
                                     and matrices
           15      Relation and      Types of relations, Types of    Identify one to one, onto and   Practice sheet     To identify one to one, onto and
                   functions         functions, Composition of       invertible functions., inverse of                  invertible functions., To find
                                     functions and invertible        a function if it exists.,  whether                 inverse of a function if it exists.,
                                     functions, Binary operations    the binary operation is                            To identify whether the binary
                                                                     associative, commutative., find                    operation is associative,
                                                                     identity and inverse of binary                     commutative., To find identity
                                                                     operations                                         and inverse of binary operations
           15      Inverse           Basic concepts and graph,       Inverse values of trigonometric Practice sheet     To find inverse values of
                   trigonometric     Properties of Inverse           functions                                          trigonometric functions
                   functions         trigonometric functions
           20      Integrals         Integration as an inverse       Indefinite and definite         Practice sheet     To solve both indefinite and
                                     process of differentiation,     integrals                                          definite integrals
                                     Methods of Integration,
                                     Integration of special
                                     functions, Method of Partial
                                     fractions, By-Parts, Definite
                                     Integral, Definite integral
                                     using substitution and
                                     properties
           10      Applications of   Introduction, Area under        Area using integration          Practice sheet     To find Area using integration
                   Integrals         simple curves, Area between
                                     2 curves
        Taurian World School, Ranchi                                                                                                      2|Page
        Class: XII
        Subject: Mathematics
         NO. OF         TOPIC                  SUB-TOPIC                 LEARNING OBJECTIVES /          ASSESSMENT /           LEARNING OUTCOMES
         PERIOD                                                          SKILLS TO BE DEVELOPED           ACTIVITIES
            15     Differential       Introduction, Degree and        Degree and order of a            Practice sheet     To identify degree and order of a
                   Equations          order, General and particular   differential equation,  form                        differential equation, To form
                                      solution, Formation of          differential equation when                          differential equation when
                                      differential equation,          solution is given,  differential                    solution is given, To solve
                                      Solution to first order, first  equations using variable                            differential equations using
                                      degree differential equations   separable, homogeneous,                             variable separable,
                                                                      Linear DE method                                    homogeneous, Linear DE method
            15     Vector Algebra     Introduction, Types of          Dot product and cross product    Practice sheet     To find dot product and cross
                                      vectors, Addition of vectors,   of 2 vectors, Scalar triple                         product of 2 vectors, To find
                                      Multiplication of vectors by    product of 3 vectors,                               Scalar triple product of 3 vectors,
                                      scalar, Dot and cross product,  projection of one vector on                         To find projection of one vector
                                      Scalar triple product           another , To analyze vectors if                     on another , To analyze vectors if
                                                                      dot product or cross product is                     dot product or cross product is
                                                                      zero                                                zero
            15     Three              Direction cosines and ratios    Equation of line in space in     Practice sheet     To find equation of line in space
                   Dimensional        of a line, Equation of line in  Cartesian and vector form,                          in Cartesian and vector form, To
                   geometry           space, Angle between 2 lines,   equation of plane in Cartesian                      find equation of plane in
                                      Shortest distance between 2     and vector form , To find angle                     Cartesian and vector form , To
                                      lines , Equation of plane,      between 2 lines using DCS,                          find angle between 2 lines using
                                      Coplanarity of 2 lines,  Angle  distance between 2 lines,                           DCS, To find distance between 2
                                      between 2 planes, Distance      angle between 2 planes using                        lines, To find angle between 2
                                      of a point from a plane, Angle  normal lines, distance                              planes using normal lines, To find
                                      between a line and a plane      between a point from a plane                        distance between a point from a
                                                                                                                          plane
        Taurian World School, Ranchi                                                                                                        3|Page
        Class: XII
        Subject: Mathematics
         NO. OF          TOPIC                  SUB-TOPIC                  LEARNING OBJECTIVES /           ASSESSMENT /            LEARNING OUTCOMES
         PERIOD                                                           SKILLS TO BE DEVELOPED             ACTIVITIES
            13      Linear             The problem and                  Solutions to problems             Practice sheet     To find solutions to problems
                    programming        mathematical formulation,
                                       Applications in daily life
            20      Probability        Conditional probability,         Probability using conditional     Practice sheet     To find probability using
                                       Multiplication theorem ,         probability formula,  solve                          conditional probability formula,
                                       Addition theorem,                problem by Bayes’ theorem,                           To identify and solve problem by
                                       Independent events , Bayes’      probability distribution of                          Bayes’ theorem, To find
                                       theorem, Random variables        different random variables,                          probability distribution of
                                       and its probability              solve problem by using                               different random variables, To
                                       distribution, Bernoulli trials   Bernoulli trials,                                    identify and solve problem by
                                       and binomial distribution                                                             using Bernoulli trials,
        Taurian World School, Ranchi                                                                                                            4|Page