03 Sep
Introduction

Introduction, overview and syllabus.

PS: L.No. 2, 7, 18, 23, 32, 36, 56, 64, 65 etc are excluded from the syllabus ..

The topics given in the above lessons are eliminated from the syllabus of CBSE class 10 for the academic year 2020-21 due to pandemic . So this lessons can be omitted during the course period if needed.

04 Sep
Unit 1 : Number System

Real Numbers

Introduction, review of previous knowledge

1.1 Euclid's Division Lemma

1.2. Theorem : Euclid's Division algorithm

Learn theorem and it's application in solving problems

05 Sep
Chapter 1 Real Numbers - p3

1.3. The Fundamental theorem of Arithmetic

Intro, statement and proof

Examples based on theorem

Learn the application of theorem in solving problems

1.4 revising Irrational Number

Thm 1.3 from textbook

06 Sep
Chapter 1 Real Numbers - p4

1.4.2. Theorem and examples based on irrational

1.5 Revising Rational number and their Decimal expansion

Theorems to prove and examples

10 Sep
Chapter 1. Real Numbers_the end

Exercise and quizzes

Doubt clearing of the students about the topic. And checking their knowledge by providing with quizzes and assignments if asked.

Exercise and quizzes

11 Sep
Unit 2 : Algebra 20 marks

Polynomial _zeroes of polynomial

2.2 Relationship between zeros and coefficients of quadratic polynomials.

12 Sep
Chp.2 Polynomials continue..

Statement and simple problems on division algorithm for polynomials with real co

Examples

13 Sep
Unit 2 . Algebra_ Chp.3 : Pair of Linear Equations

3.1 Pair of linear equations in two variables

3.1. graphical method of their solutions

3.2 consistency/ inconsistency

17 Sep
Algebra _ chp 3.Pair of Linear Equations

3.3 Algebraic conditions for number of solutions.

3.4 Solution of a pair of linear equations in two variables

By substitution

Examples

18 Sep
Algebra_chp.3.Pair of Linear Equations

3.4.2 Solution of a pair of linear eq. in 2 var by substitution method

Solution of L.Eq. in 2 var. by Elimination method

Examples for practice

19 Sep
Algebra_chp.3. Pair of Linear Equations

3.5 Simple situational Problems

3.6 Simple problems on equations reducible to linear equations

20 Sep
Unit 2. Chp.3 . Example

24 Sep
Unit 2.Algebra : chp.4 Quadratic Equations

4.1 standard form of Q.E.

4.2 Solutions of Q.E. by Factorization

Only real roots by factorization

Examples

25 Sep
Algebra: chp.4 Quadratic Equations

4.3 solutions of Q.E. by using quadratic formula

4.4 Relationship between discriminant and Nature of roots

Examples

26 Sep
Algebra : chp.4 Quadratic Equations

4.5 Situational problems based on Quadratic Equations

27 Sep
Algebra : chp.4 Quadratic Equations ..End

01 Oct
Unit 2 . Algebra_ chp.5 Arithmetic Progression

Derivation of nth term

Sum of the first n terms of A.P.

Formula and example

Examples

02 Oct
Algebra : chp.5. Arithmetic Progression

Application of A.P. in solving daily life problem

Exercise and example s

03 Oct
Unit 5. Trigonometry

Trigonometric ratios of an acute angle of a right-angled triangle.

Proof of thei existence (well defined); motivate the ratios whichever are define

04 Oct
Unit 5. Chp.1. Introduction to trigonometry

Values of the trigonometric ratios of 30°,45° and 90°

Relationship between the ratios

08 Oct
Unit 5 . Chp 1. Introduction to trigonometry

Exercise and quizzes

Doubts clearance

09 Oct
Unit 5 . Chp.2. Trigonometric Identities

5.2.1. Proof and applications of the identity sin2A + cos2A = 1.

Examples

10 Oct
Unit 5 _ chp.2. Trigonometric Identities

5.2.2 Trigonometric ratios of complementary angles

Examples

11 Oct
Unit 5_ chp.2. Trigonometric Identities

15 Oct
Unit 5 . Trigonometry _ chp.3. Heights and Distance

3.1. simple problems on heights and distances

16 Oct
Unit 5 _ chp.3. heights and distance

3.2 angle of elevation

Angle of depression

17 Oct
Unit 5 . Trigonometry exercise

18 Oct
Unit 6 . Mensuration

6.1.1 area of Circle

Area of sectors

Segments of a circle

22 Oct
Unit 6 . Chp 1. Areas related to circles

6.1.3 Problems based on areas and perimeter/ circumstances

Triangles, quadrilateral and circles calculating areas and perimeter

23 Oct
Unit 6. Chp 1. Areas related to circle

24 Oct
Unit 6.Mensuration chp.2. Surface area and Volumes

6.2.1. Surface areas and Volumes of combinations of any two of following.

Cubes , cuboids

Spheres, hemispheres

Right circular cylinders/ cones .

25 Oct
Unit 6. Chp 2 Surface areas and Volumes

Frustum of a cone

Problem and Examples

29 Oct
Mensuration_ Chp 2. Surface areas and Volumes

6.2.2 Problems involving converting one type of metallic solid into another

Other mixed problems

30 Oct
Unit 7. Probability and Statistics

7.1.1 Mean , Median and Mode of grouped data

31 Oct
Unit 7. Chp.1. Statistics

Problem solving based on Mean Median and mode

01 Nov
Unit 7. Chp.1. Statistics

7.2 commutative frequency graph

05 Nov
Unit 7. Chp 1. Statistics

06 Nov
Unit 7 . Chp 2. Probability

7.2 Introduction

7.2.1. classical definition of probability

07 Nov
Mensuration_ chp 2. Probability

7.2.2 simple problem on finding the probability of an event

08 Nov
Unit 7. Chp.2. Probability

12 Nov
Unit 3. Coordinate Geometry

3.1 Lines in 2D

Review concepts of coordinate geometry

13 Nov
Unit 3. Chp 1. Lines

3.1.2. Graphs of Linear Equations

14 Nov
Coordinate geometry _ chp.1. Lines

3.2.2. distance formula

3.2.3. Section formula ( Internal division )

Area of a triangles

15 Nov
Unit 3. Coordinate geometry chp.1. Lines exercise

Exercise and quizzes

Doubts solving

19 Nov
Unit 4. Geometry

4.1. Definition and Examples

Counter examples of similar triangles

20 Nov
Unit 4. Geometry chp.1. Triangles

Theorem 1. If a line is drawn parallel to one side of a triangle to ....

To 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.

21 Nov
Unit 4 . Geometry _ chp 1.triangles

4.1.2. If a line divides two sides of a triangle in the same ratio, the line is

2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

22 Nov
Unit 4. Geometry .chp.1. Triangles

Theorem 3. If in two triangles , the corresponding angles are equal, their ....

...their corresponding sides are proportional and the triangles are similar .

26 Nov
Unit 4 . Geometry chp.1. Triangles

Thm 4 : If the corresponding sides of two triangles are proportional , their ...

....their corresponding angles are equal and the two Triangles are similar.

27 Nov
Unit 4. Geometry.

Theorems to prove and examples

28 Nov
Unit 4. Geometry chp.1. Triangles

Theorem 5. 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.

29 Nov
Unit 4 . Geometry chp.1. Triangles

Thm 6 . If a perpendicular is drawn from the vertex of the right angle of a righ

... triangle to the hypotenuse, the Triangles on each side of the perpendicular are similar to the whole triangle and to each other .

03 Dec
Unit 4. Geometry chp.1. Triangles

(Prove) The ratio of the areas of two similar triangles is equal to the ratio ..

4.7. (To Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

04 Dec
Geometry_ chp.1. Triangles

4.8. In a right triangle, the square on the hypotenuse is equal to the sum..

To Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the
squares on the other two sides.

05 Dec
Unit 4. Geometry_ chp.1. Triangles

4.9 (to prove) In a triangle, if the square on one side is .....

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.

06 Dec
Doubt solving

10 Dec
Unit 4. Geometry chp.2. Circles

Introduction

Tangent to a circle at point of contact

11 Dec
Geometry_ chp.2. circle

To prove : the tangent at any point of a circle is perpendicular to the ...

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

12 Dec
Geometry _ chp.2. circle

4.2.2.The lengths of tangents drawn from an external point to a circle are equal

13 Dec
Geometry _ chp.2. Circle

Theorems to prove and examples

17 Dec
Unit 4. Geometry chp.3. Construction

4.3.1. Division of a line seg in a given ratio.

Internally

18 Dec
Unit 4. Geometry chp.3. Construction

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

19 Dec
Geometry_ chp.3. Construction

4.3.3. construction of a triangle similar to a given triangle

20 Dec
Unit 4. Geometry chp.3. Construction

Exercise and Examples

Doubts clearing

24 Dec
Question paper discussion

Question Paper solving skills

25 Dec
Doubts and queries

26 Dec
Quizzes

27 Dec
Quizzes