Mathematics

Mathematics 10

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Course Description

This course emphasizes visualizing basic concepts, principles, theorems and symbols to master basic algebraic skills. Topics covered in this course include: real numbers, quadratic equations, arithmetic progressions, introduction to trigonometry, statistics, and probability.

What you’ll learn
  • Real Numbers
  • Polynomials
  • Pair of linear equation in Two Variables
  • Quadratic Equations
  • Arithmetic Progressions
  • Triangles
  • Coordinate Geometry
  • Introduction to Trigonometry
  • Some Application of Trigonometry
  • Circles
  • Construction
  • Area Related to Circle
  • Surface area and volume
  • Statistics
  • Probability
1.1: Euclid’s Division Lemma  

00:27

2.1: The Fundamental Theorem of Arithmetic  

04:11

3.1: Revisiting Irrational Numbers  

01:50

4.1: Revisiting Rational Numbers and Their Decimal Expansions  

03:50

5.1: Use of Euclid Division Algorithm  

02:32

6.1: Prime Factorization Of Numbers  

00:53

7.1: Application of Euclid’s Division Lemma  

02:06

8.1: Real Numbers - Assessment  

9.1: Real Numbers - Answer Key  

1.1: Geometrical Meaning of the Zeroes of a Polynomial  

05:32

2.1: Relationship between Zeroes and Coefficients of a Polynomial  

04:20

3.1: Division Algorithm for Polynomials  

02:44

4.1: Division Of Polynomials With Other Polynomials By Long Division Method-I  

01:20

5.1: Division Of Polynomials With Other Polynomials By Long Division Method-II  

01:41

6.1: Finding Divisor Using Division Algorithm  

01:52

7.1: Polynomials - Assessment  

8.1: Polynomials - Answer Key  

1.1: Pair of linear equation in Two Variables  

02:05

2.1: Graphical Method of Solution of a Pair of Linear Equations  

02:23

3.1: Algebraic Methods of Solving a Pair of Linear Equations  

07:26

4.1: Equations Reducible to a Pair of Linear Equations in Two Variables  

01:49

5.1: Elimination Method To Solve A Pair Of Linear Equations  

01:36

6.1: Elimination Method To Solve A Pair Of Linear Equations-II  

02:19

7.1: Graphical Solution Of A Pair Of LE In Two Variables  

02:02

8.1: Possibilities on Plotting a Pair of Linear Equations  

02:25

9.1: Pair of Linear Equation in Two Variables - Assessment  

10.1: Pair of Linear Equation in Two Variables - Answer Key  

1.1: Quadratic Equations  

02:17

2.1: Examples of Quadratic Equations  

03:21

3.1: Solution of a Quadratic Equation by Factorisation  

07:44

4.1: Solution of a Quadratic Equation by Completing the Square  

03:47

5.1: Nature of Roots  

03:18

6.1: Quadratic Equations - Assessment  

7.1: Quadratic Equations - Answer Key  

1.1: Arithmetic Progressions  

02:23

2.1: nth Term of an AP  

02:11

3.1: Sum of First n Terms of an AP  

02:08

4.1: nth Term Of An Arithmetic Progression  

01:09

5.1: nth Term Of An Arithmetic Progression-1  

02:09

5.2: nth Term Of An Arithmetic Progression_2  

02:04

5.3: nth Term Of An Arithmetic Progression_3  

01:48

6.1: Use Of Formula For Sum Of n Terms Of An Arithmetic Progression  

02:03

6.2: Use Of Formula For Sum Of n Terms Of An Arithmetic Progression-I  

02:04

7.1: Arithmetic Progression - Assessment  

8.1: Arithmetic Progression - Answer Key  

1.1: Similar Figures  

03:53

2.1: Similarity of Triangles  

04:33

3.1: Criteria for Similarity of Triangles  

02:47

3.2: Criteria for Similarity of Triangles -II  

03:08

4.1: Areas of Similar Triangles  

04:28

5.1: Pythagoras Theorem  

03:28

6.1: Triangles - Assessment  

7.1: Triangles - Answer Key  

1.1: Coordinate Geometry  

03:03

2.1: Section Formula  

05:09

3.1: Area of Triangle  

03:56

4.1: Example of Distance Formula  

01:48

5.1: Example of Section Formula-I  

5.2: Example of Section Formula-II  

6.1: Co-ordinate Geometry - Assessment  

7.1: Co-ordinate Geometry - Answer Key  

1.1: Trigonometric Ratios  

03:20

2.1: Trigonometric Ratios of Some Specific Angles  

02:47

3.1: Trigonometric Ratios of Complementary Angles  

02:55

3.2: Trigonometric Ratios of Complementary Angles-II  

02:17

4.1: Trigonometric Identities  

03:53

5.1: Examples of Trigonometric Identities  

03:18

6.1: Introduction to Trigonometry - Assessment  

7.1: Introduction to Trigonometry - Answer Key  

1.1: Height and Distance  

04:04

2.1: Examples of Angle of Elevation  

03:13

3.1: Examples of Angle of Depression  

04:10

4.1: Example of Height and distance - I  

02:46

4.2: Example of Height and distance - II  

01:42

5.1: Some Application of Trigonometry - Assessment  

6.1: Application of Trigonometry - Answer Key  

1.1: Circles  

01:00

2.1: Tangent to a Circle  

02:04

3.1: Two tangents parallel to a given secant  

02:45

4.1: Number of Tangents from a Point on a Circle  

00:55

5.1: Lengths Of Tangents  

01:50

6.1: Tangents Drawn From An External Point To A Circle  

02:00

7.1: Concept Of Tangent At Any Point Of The Circle  

02:13

8.1: Circle - Assessment  

9.1: Circle - Answer Key  

1.1: Division of a Line Segment  

03:11

2.1: Examples of Division of a Line Segment  

01:24

3.1: Construct a triangle similar to a given triangle part 2  

01:45

4.1: Construct the Tangents to a Circle  

01:53

5.1: Some more examples  

01:14

6.1: Construction - Assessment  

7.1: Construction - Answer Key  

1.1: Parameters of Circle  

01:12

2.1: Perimeter and area of Circle  

02:48

3.1: Application of Area of Circle  

01:24

4.1: Application of Circumference of Circle  

01:54

5.1: Areas of Sector and Segment of a Circle  

02:56

6.1: Areas of Combinations of Plane Figures  

02:16

7.1: Example of Areas of Combinations  

02:02

8.1: Area related to circles - Assessment  

9.1: Area related to circles - Answer Key  

1.1: Surface Area of a Combination of Solids  

01:30

2.1: Examples of Combination of Solids  

03:32

3.1: Volume of a Combination of Solids  

03:17

4.1: Conversion of Solid from One Shape to Another.  

03:22

5.1: Frustum of a Cone  

03:00

6.1: Surface areas and volumes - Assessment  

7.1: Surface areas and volumes - Answer Key  

1.1: Mean of Grouped Data  

05:57

2.1: Mode of Grouped Data  

02:57

3.1: Median of Grouped Data  

03:43

4.1: Example of median of grouped data  

02:30

5.1: Graphical Representation of Cumulative Frequency Distribution  

02:42

6.1: Statistics - Assessment  

7.1: Statistics - Answer Key  

1.1: A Theoretical Approach  

03:46

2.1: Examples of equally likely or not equally likely outcomes  

02:58

3.1: Terms of Probability  

01:41

4.1: Examples of Probability - I  

02:51

4.2: Examples of Probability - II  

00:37

4.3: Examples of Probability - III  

01:10

4.4: Some more example of probability  

04:05

4.5: Application of Probability  

00:54

5.1: Probability - Assessment  

6.1: Probability - Answer Key  

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This course includes
  • Units 15
  • Lessons 125
  • Expiry Date Full lifetime access
  • Language English
  • Last Updated Nov 08 2022

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