Teachers Service Commission has recently changed the curriculum of all level teachers for the recruitment by open competition. The examination system is divided into two categories; General Examination and Subjective examination.General examination is of 100 full marks and objective/multiple choice questions will be asked. The pass marks is 50. This examination is for all the subjects. Here you will get both types TSC Secondary level Mathematics Curriculum. The curriculum of General Examinations can be obtained from the given link below.
Second paper is of subject wise. Each subject teachers should attend and pass this examination. It will be subjective type and full marks is 100 . Time is 3 hours Here you will get the curriculum of Mathematics for the Secondary level.
Unit:1 Teaching Arithmetic
Set theory: Set and notations, Relation between sets, Operations on sets, Algebra of sets, Venn-Diagrams and related problems
Percentage and Application: Money Exchange, Discount and VAT, Profit and loss, Home arithmetic
Sequence and Series: Arithmetic, Geometric and Harmonic sequence and series, nth term and sum, A.M, G.M, H.M and their relations
Investment and Growth: Compound interest, Compound depreciation, Population growth
Mensuration: Area of triangle, Area and volume of prism, Area and volume of cylinder and sphere, Area and volume of pyramid and cone, Cost and estimation
Unit 2: Teaching Algebra and Geometry
School Algebra: Algebraic Expressions, Radical and surds, Polynomials and rationales, Indices, Linear and quadratic equation
Geometry: Triangle, Quadrilateral, Circle, Tangent to Circle, Construction
Analytic Geometry: Straight line, Homogeneous equation, Pair of lines, Angle between two lines
Transformation Geometry: Reflection, Rotation, Translation and Enlargement
Vector and Scalar: Definitions, Scalar product, Vector product, Application vector in geometry
Unit 3: Teaching Pre-Calculus
Matrices and Determinants: Definition of matrix, Transpose and inverse, Determinants of 2×2 and 3×3 matrix, Properties of determinants and problems, Solution of system of linear equation (Cramer’s rule)
Linear Programming, Function and Graph: Graphical, Simplex Method, Odd and even functions, Symmetry (about origin, X-axis and Y-axis), Sketching graphs of quadratic function
Trigonometry: Unit circle, algebric, Trigonometric, exponential and their graph, composite and inverse function.Trigonometric identities, general values, solution of triangles and inverse functions
Measures of Central Tendency: Mean, Median, Mode, Relations among them
Measure of Dispersion: Range and Quartile deviation, Mean deviation, Standard deviation, Coefficient of variation.
Correlation and Regression: Correlation coefficient and its properties, Pearson’s correlation, Spearman’s correlation, Regression equations of two variables
Unit 5: Overview of Mathematics Curriculum of Secondary Level
Curriculum and Textbook: Comparative study of mathematics curriculum, Textbooks and Teachers guide of grade 9 -12
Teaching Materials: Development and use of of teaching and supplementary materials in mathematics teaching
Evaluation and Testing: Testing and and evaluation in mathematics teaching, specification grid
Assessment: Continuous assessment system, grading system in student assessment
Error analysis: Correction of error and error analysis
Unit 6: Calculus and Mechanics
Limit and Continuity: Meaning of x→a, Limit of a function, Left hand and right-hand limit, Continuities and discontinuities of a function.
Derivative: Derivative and its geometrical meaning (slope of tangent), Techniques of differentiation, Application of derivative (Maxima/Minima, increasing/decreasing, concavity), Rolle’s and Mean value theorem
Integration: Definition, Techniques of integrations (substitutions, by parts), Fundamental theorem of calculus, Application of integration (area, volume)