Syllabus for maths class 10 (cbse) 2020-2021

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 Syllabus for maths class 10 (cbse) 2020-2021

CBSE has  released the syllabus for class10th students should start their prepration in lockdown period  beacuse schools are closed all over the country.as we see the present situation there is very less chance of opening schools before 1st july 2020.so what you have to do that you should start your own prepration. before starting your prepration you should go through the complete syllabus of maths  2020-2021.
Nowadays students have one question that their course will be completed in given time or not.
So student relax beacuse class10 maths syllabus is not so lengthy by the right strategy you can easily cover the complete maths in the given time but you have to start your course now with your own.

cbse class10 maths syllabus 2020-2021
syllabus for class 10 cbse maths released for the new acadmic year 2020-2021 this time also board will give two option for maths one is basic and other is standard. students can go with any one of them.while students are advised to go through the complete syllabus of maths while start preparing for the exam 

       
Units
Unit Name
Marks
I
NUMBER SYSTEMS
06
II
ALGEBRA
20
III
COORDINATE GEOMETRY
06
IV
GEOMETRY
15
V
TRIGONOMETRY
12
VI
MENSURATION
10
VII
STATISTICS & PROBABILITY
11

Total
80

 CBSE had introduced certain changes in the Maths question paper structure in the board exam 2020. About 25% of the questions in the paper were of objective type with each carrying 1 mark. The same is expected to be follwoed in the next year board examinations. For this, you can check the question paper design suggested by CBSE in this new syllabus.

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 ofsquare root, irrationality of square roots, class 10 real numbersmaths rootDecimal 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.
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, 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 an A.P. and their application in solving daily life problems.
UNIT III: 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 IV: 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.
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 V: 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 30o, 45o and 60o. 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.
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 30o, 45o, 60o.
UNIT VI: 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)
1. 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.
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).
UNIT VII: STATISTICS AND PROBABILITY
1. Statistics (18 Periods)
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
2. Probability (10 Periods)
Classical definition of probability. Simple problems on finding the probability of an event.
CBSE Class 10 Maths Question Paper Design
To know the typology of questions for Class 10 Maths Board Exam 2021, go through the question paper design given below as suggested by CBSE. It will be quite helpful to structure your study plan and work in a productive way.
MATHEMATICS-Standard
Code (041)
QUESTION PAPER DESIGN
CLASS – X (2020-21)
Time : 3 Hours                                                                                                       Max. Marks: 80
Internal Assessment
20 Marks
Pen Paper Test and Multiple Assessment (5+5)      
10 Marks
Portfolio
05 Marks
Lab Practical (Lab activities to be done from the prescribed books)
05 Marks
MATHEMATICS-Basic Code (241)
QUESTION PAPER DESIGN
CLASS – X (2020-21)
Time : 3Hours                                             Max. Marks: 80
Internal Assessment
20 Marks
Pen Paper Test and Multiple Assessment (5+5)      
10 Marks
Portfolio
05 Marks
Lab Practical (Lab activities to be done from the prescribed books)
05 Marks
PRESCRIBED BOOKS:
1. Mathematics - Textbook for class X - NCERT Publication
2. Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
3. Laboratory Manual - Mathematics, secondary stage - NCERT Publication
4. Mathematics exemplar problems for class X, NCERT publication.

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