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
Kajal Prakashchand Lohade
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