MATHEMATICS SYLLABUS FOR TET PAPER 2:-

MATHEMATICS (Marks: 30)

MATHEMATICS CONTENT (Marks: 24)

1. Number System – Prime and Composite Numbers, Tests of divisibility, whole numbers, integers, fractions,
decimal fractions, L.C.M. and G.C.D., rational numbers, and irrational numbers. Properties of numbers, Real
numbers; laws of exponents, squares, square roots, cubes, cube roots, finding missing numbers represented
as alphabets in sums involving an array of four operations, number patterns, number puzzles, Euclid division
lemma, concept of logarithms.
2. Arithmetic – Ratio and proportion, simple interest, compound interest, Time and distance, Discount, tax,
time and work, profit and loss
3. Sets – Concept of set, set language, empty set, finite and infinite sets, subset and equality of sets, cardinal
number of sets, set operations, representation of sets, Venn diagrams and their properties,
4. Algebra -Introduction to Algebra, expressions, exponents and powers, Factorization, special products and
expansions, linear equations and their graphs, polynomials, Quadratic equations and its applications,
concept of progressions, progressions (AP and GP).nth term and sum of the first n terms in AP, nth term of
GP
5. Geometry – History of Geometry, Contribution of India in the Development of Geometry, Euclid
Geometry, Lines and Angles, Similar Triangles, Pythagoras theorem, congruency of triangles, Properties
of Circles, Triangles, Quadrilaterals and polygons, Parts of Circle : Construction of Circle, Triangles and
Quadrilaterals, Circles and concurrent lines in triangles, Co-ordinate Geometry, Co-ordinates of a point,
plotting of points, representing linear equations in two variables (of the form ax+by+c=0) in the
Cartesian coordinate system. Linear equations with 2 variables, slope of a line, and the distance between two points
points in a plane, section formula, Area of a triangle, collinearity of points in a coordinate plane, centroid of
a triangle, symmetry,
6. Mensuration – Perimeter and Area of a Square and Rectangle. Area of Triangle, Circle, Ring, and
Quadrilaterals. Surface area and volume of Cube, Cuboid, Lateral & total Surface area and volume of a
cylinder, cone, sphere and hemisphere, conversion of one solid to another shape, surface area and volume
of a combination of solids.
7. Data Handling – Collection and Classification of Data, Frequency distribution table, Tally marks, Bar
graph, Pictograph, and Pie diagrams, mean, median, and mode for ungrouped and grouped data, cumulative
frequency table and ogive curves, concept of probability, simple problems (day-to-day life situations) on
single events, concept of complementary events.
8. Trigonometry – Introduction of Trigonometry, Relationship between ratios, values of trigonometric ratios,
(0^o, 30^o, 45^o, 60^o and 90^o) Trigonometric identities, trigonometric ratios of complementary angles,
applications of trigonometry, Angle of elevation and depression, simple problems.

PEDAGOGY (Marks: 06)

1. Definition and Nature of Mathematics
2. Aims, values, instructional objectives of teaching Mathematics, and Academic Standards
3. Methods of Teaching Mathematics
4. Instructional material in Mathematics – TLM in Mathematics
5. Instructional Planning
6. Continuous Comprehensive Evaluation (CCE) – Formative Assessment, Summative Assessment –
Processes and procedures
7. Designing, Administration, and Analysis of Scholastic Achievement Test (SAT)
8. Diagnostic and Remedial Teaching
9. The Mathematics Teacher
10. Resource Utilization
11. Curriculum and Textbook