CBSE has released syllabus of Class 10 for the academic session 2016‒2017.
The key contents of the syllabus issues by CBSE for Class 10 Mathematics are:
- General Instructions
- Syllabus for CBSE Class 10 Mathematics First Term
- Syllabus for CBSE Class 10 Mathematics Second Term
- Prescribed Books
- Question Paper Design for Mathematics Class 10 (2016-17)
The complete syllabus is as follows
General Instructions:
1. As per CCE guidelines, the syllabus of Mathematics for classes IX and X has been divided term wise.
2. The units specified for each term shall be assessed through both Formative and Summative Assessments.
3. In each term, there will be two Formative Assessments, each carrying 10% weightage.
4. The Summative Assessment in term I will carry 30% weightage and the Summative Asssessment in term II will carry 30% weightage.
5. Listed laboratory activities and projects will necessarily be assessed through formative assessments.
Syllabus for CBSE Class 10th Mathematics First Term is as follows:
First Term Marks: 90
| Unit No. |
Unit |
Marks |
| I |
Number System |
11 |
| II |
Algebra |
23 |
| III |
Geometry |
17 |
| IV |
Trigonometry |
22 |
| V |
Statistics |
17 |
|
|
Total |
90 |
UNIT I: NUMBER SYSTEMS
1. REAL NUMBERS (15) Periods
Euclid’s division lemma, Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5. Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
UNIT II: ALGEBRA
1. POLYNOMIALS (7) Periods
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods
Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.
UNIT III: GEOMETRY
1. TRIANGLES (15) Periods
Definitions, examples, counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle.
UNIT IV: TRIGONOMETRY
1. INTRODUCTION TO TRIGONOMETRY (10) Periods
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values (with proofs) of the trigonometric ratios of 30, 45 and 60. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES (15) Periods
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
UNIT V: STATISTICS AND PROBABILITY
1. STATISTICS (18) Periods
Mean, median and mode of grouped data (bimodal situation to be avoided).
Cumulative frequency graph.
Click Here, To get the Syllabus of CBSE Class 10th Mathematics First Term in PDF format
Syllabus for CBSE Class 10th Mathematics Second Term is as follows:
| Unit No. |
Unit |
Marks |
| II |
Algebra (Contd.) |
23 |
| III |
Geometry (Contd.) |
17 |
| IV |
Trigonometry (Contd.) |
08 |
| V |
Probability |
08 |
| VI |
Coordinate Geometry |
11 |
| VII |
Mensuration |
23 |
|
|
Total |
90 |
UNIT II: ALGEBRA (Contd.)
3. QUADRATIC EQUATIONS (15) Periods
Standard form of a quadratic equation ax2+ bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.
4. ARITHMETIC PROGRESSIONS (8) Periods
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.
UNIT III: GEOMETRY (Contd.)
2. CIRCLES (8) Periods
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.
3. CONSTRUCTIONS (8) Periods
1. Division of a line segment in a given ratio (internally).
2. Tangents to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.
UNIT IV: TRIGONOMETRY
3. HEIGHTS AND DISTANCES : Angle of elevation, Angle of Depression. (8) Periods
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 V: STATISTICS AND PROBABILITY
2. PROBABILITY (10) Periods
Classical definition of probability. Simple problems on single events (not using set notation).
UNIT VI: COORDINATE GEOMETRY
1. LINES (In two-dimensions) (14) Periods
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
UNIT VII: MENSURATION
1. AREAS RELATED TO CIRCLES (12) Periods
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
2. SURFACE AREAS AND VOLUMES (12) Periods
(i) Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(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.)
Click Here, To get the Syllabus of CBSE Class 10th Mathematics Second Term in PDF format
Prescribed Books for CBSE Class 10th Mathematics
1. Mathematics - Textbook for class X - NCERT Publication
2. Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
3. A Handbook for Designing Mathematics Laboratory in Schools - NCERT Publication
4. Laboratory Manual - Mathematics, secondary stage - NCERT Publication
5. Mathematics exemplar problems for class X, NCERT publication.