The syllabus consists of seven units: (i) Number Systems, (ii) Algebra, (iii) Coordinate Geometry, (iv) Geometry, (v) Trigonometry, (vi) Mensuration, and (vii) Statistics & Probability.
|V||Statistics & Probability||8|
1. QUADRATIC EQUATIONS
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solution of the quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots.
Situational problems based on quadratic equations related to day to day activities (problems on equations reducible to quadratic equations are excluded)
2. ARITHMETIC PROGRESSIONS
Motivation for studying Arithmetic Progression, Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems. (Applications based on sum to n terms of an A.P. are excluded)
Tangent to a circle at, point of contact
5. SOME APPLICATIONS OF TRIGONOMETRY
HEIGHTS AND DISTANCES
Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, 60°.
6. SURFACE AREAS AND VOLUMES
(i) Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
(ii) 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).
Mean, median and mode of grouped data (bimodal situation to be avoided). Mean by Direct Method and Assumed Mean Method only.