CBSE Class 10 Math's Term 2 Syllabus

CBSE Class 10 Science Term 2 Syllabus

SECOND TERM

UNIT NAME	MARKS
ALGEBRA CH-4 QUADRATIC EQUATIONS CH-5 ARITHMETIC                    PROGRESSIONS	10
GEOMETRY CH-10 CIRCLES CH-11 CONSTRUCTIONS	9
TRIGONOMETRY CH- 9 SOME APPLICATIONS OF TRIGONOMETRY	7
MENSURATION CH-13 SURFACE AREAS AND VOLUMES	6
STATISTICS & PROBABILITY CH-14 STATISTICS	8
Total	40
INTERNAL ASSESSMENT	10
TOTAL	50

UNIT-ALGEBRA

 

1. QUADRATIC EQUATIONS

Ch-4   Ex. 4.1 , 4.2 , 4.3

Standard form of a quadratic equation ax² + bx + c = 0, (a ≠ 0).

Solutions of 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).

  Remove Portion

 EX 4.3  ques. No. 1

E.g. 7,8,9

 

2. ARITHMETIC PROGRESSIONS

 Ch-5    Ex. 5.1 , 5.2 , 5.3

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)

Remove Portion

  EX 5.3 Ques No. 15, 16 ,17 ,18, 19, 20

 e.g.  16

UNIT- GEOMETRY

 

3. CIRCLES

 Ch-10   Ex. 10.1 , 10.2

Tangent to a circle at, point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

 

4. CONSTRUCTIONS

 Ch-11   Ex. 11.1 , 11.2

1. Division of a line segment in a given ratio (internally).

2. Tangents to a circle from a point outside it.

Remove Portion

 EX 11.1

Complete Exercise

 

UNIT-TRIGONOMETRY

 

5. SOME APPLICATIONS OF

 TRIGONOMETRY

 Ch-9   Ex. 9.1

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°.

 

UNIT-MENSURATION

 

6. SURFACE AREAS AND VOLUMES

 Ch-13   Ex. 13.1 , 13.2 , 13.3 ,13.4

1. Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

2. 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).

 Remove Portion

   EX 13.4

Complete Exercise

e.g.  12 , 13 ,14

UNIT-STATISTICS & PROBABILITY

7. STATISTICS

Ch-14   Ex. 14.1 , 14.2 , 14.3 ,14.4

Mean, median and mode of grouped data (bimodal situation to be avoided). Mean by Direct Method and Assumed Mean Method only.

Remove Portion

        EX 14.4

Complete Exercise

e.g.  9

INTERNAL ASSESSMENT	MARKS	TOTAL MARKS
Periodic Tests	3	10
Multiple Assessments	2
Portfolio	2
Student Enrichment Activities-practical work	3

PRESCRIBED BOOKS

 

v Mathematics - Textbook for class X - NCERT Publication

v Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication

v Mathematics exemplar problems for class X, NCERT publication.

v Laboratory Manual - Mathematics, secondary stage - NCERT Publication