# Optional Mathematics 9

Optional Math class 9 videos According to Curriculum Development Centre, Nepal

Intermediate 5 (5 Reviews ) 933 Students enrolled
Created by Mero School Last updated Fri, 14-May-2021 Nepali
What will I learn?
• After Completion of this Course, Students will get complete knowledge of class 9 Optional Math and will be able to secure good score in final exam.

Curriculum for this course
372 Lessons 41:53:30 H:M:S
0. Introduction to Course
2 Lessons 00:08:02 H:M:S
• 1. Introduction to Course 00:02:26 Free
• 2. Table of Content 00:05:36
• 1. Ordered Pairs
• 1. Algebra Introduction 00:04:22
• 2. Ordered pairs 00:07:23
• 3. Equality of ordered pairs 00:03:58
• 4. Example 1 (Ordered pairs) 00:02:45
• 5. Example 2 (Ordered pairs) 00:05:20
2. Cartesian Product
• 1. Cartesian product 00:05:59
• 2. Ways of representing cartesian product 00:07:46
• 3. Example 1 (Cartesian product) 00:02:33
• 4. Example 2 (Cartesian product) 00:03:56
• 5. Example 3 (Cartesian product) 00:02:05
• 6. Example 4 (Cartesian product) 00:04:42
3. Relation
• 1. Relation 00:07:25
• 2. Example 1 (Relations) 00:04:14
• 3. Example 2 (Relations) 00:02:54
• 4. Ways of representing relations 00:06:32
• 5. Types of relation 00:06:15
• 6. Inverse relation 00:02:20
• 7. Example 3 (Relations) 00:03:35
• 8. Example 4 (Relations) 00:01:40
• 9. Example 5 (Relations) 00:02:20
• 10. Example 6 (Relations) 00:04:57
• 11. Example 7 (Relations) 00:03:23
4. Function
• 1. Functions 00:11:29
• 2. Domain, range and co-domain of a function 00:07:19
• 3. Test of a function (Vertical line test) 00:09:13
• 4. Example 1 (Functions) 00:03:24
• 5. Example 2 (Functions) 00:05:40
• 6. Representation of a Function 00:10:55
• 7. Types of function 00:06:04
• 8. Example 3 (Functions) 00:02:39
• 9. Example 4 (Functions) 00:03:06
• 10. Example 5 (Functions) 00:01:48
• 11. Example 6 (Functions) 00:03:18
• 12. Example 7 (Functions) 00:02:32
• 13. Example 8 (Functions) 00:03:21
• 14. Example 9 (Functions) 00:05:58
• 15. Example 10 (Functions) 00:06:13
• 16. Example 11 (Functions) 00:07:01
• 17. Example 12 (Functions) 00:03:10
• 18. Example 13 (Functions) 00:04:39
5. Polynomials
• 1. Polynomials( Introduction) 00:13:15
• 2. Example 1 (Polynomials) 00:04:04
• 3. Example 2 (Polynomials) 00:04:22
• 4. Example 3 (Polynomials) 00:09:00
• 5. Addition of polynomials 00:03:35
• 6. Properties of sum of polynomials 00:04:37
• 7. Difference of two polynomials 00:04:01
• 8. Example 1 (Polynomials) 00:06:36
• 9. Example 2 (Polynomials) 00:02:56
• 10. Example 3 (Polynomials) 00:07:56
• 11. Example 4 (Polynomials) 00:13:19
• 12. Multiplication of polynomials 00:07:09
• 13. Properties of product of polynomials 00:05:37
• 14. Example 1 (Product of polynomials) 00:03:32
• 15. Example 2 (Product of polynomials) 00:03:52
• 16. Division of polynomials 00:10:14
• 17. Example 1 (Division of polynomials) 00:04:16
• 18. Example 2 (Division of polynomials) 00:06:16
• 19. Example 3 (Division of polynomials) 00:05:57
6. Sequence and Series
• 1. Sequence 00:07:32
• 2. General term of sequence 00:07:42
• 3. General term of quadratic sequence 00:11:53
• 4. Series 00:03:17
• 5. Example 1 (Sequence and series) 00:04:15
• 6. Example 2 (Sequence and series) 00:08:28
• 7. Example 3 (Sequence and series) 00:10:25
• 8. Example 4 (Sequence and series) 00:04:11
• 9. Example 5 (Sequence and series) 00:04:20
• 10. Example 6 (Sequence and series) 00:07:29
• 11. Example 7 (Sequence and series) 00:03:07
• 12. Sigma notation 00:04:37
• 13. Example 1 (Sigma notation) 00:02:10
• 14. Example 2 (Sigma notation) 00:02:04
• 15. Example 3 (Sigma notation) 00:06:06
• 16. Example 4 (Sigma notation) 00:04:35
• 1. Limit and Continuity (Introduction) 00:04:03
• 2. Power of calculus 00:12:28
• 3. Concept of limit by the concept of sequence of numbers 00:09:32
• 4. Example 1 (3. Concept of limit by the concept of sequence of numbers) 00:02:47
• 5. Example 2 (3. Concept of limit by the concept of sequence of numbers) 00:04:05
• 6. Concept of limit by the concept of sequence diagrams 00:11:48
• 7. Example 1 (Concept of limit by the concept of sequence diagrams) 00:04:43
• 8. Example 2 (Concept of limit by the concept of sequence diagrams) 00:08:17
• 9. Concept of limit by the sum of infinite series 00:22:17
• 10. Example 1 (Concept of limit by the sum of infinite series) 00:05:22
• 11. Example 2 (Concept of limit by the sum of infinite series) 00:05:42
• 12. Example 3 (Concept of limit by the sum of infinite series) 00:09:57
• 13. Limiting value of a function 00:12:58
• 14. Part 2 Limits (Demonstration) converted_1 00:15:47
• 15. Example 1 (Limiting value of a function) 00:05:08
• 16. Example 2 (Limiting value of a function) 00:06:18
• 17. Example 3 (Limiting value of a function) 00:03:43
• 18. Notational representation of limit 00:02:10
• 19. Example 1 (Notational representation of limit) 00:02:38
• 1. Matrix (Syllabus) 00:02:58
• 2. Matrix (Introduction) 00:08:18
• 3. Example 1 (Matrix) 00:02:45
• 4. Example 2 (Matrix) 00:04:09
• 5. Example 3 (Matrix) 00:05:23
• 6. Special types of matrices 00:23:36
• 7. Example 1 (Special matrices) 00:06:45
• 8. Example 2 (Special matrices) 00:04:05
• 9. Example 3 (Special matrices) 00:12:02
• 10. Operation on matrices(Addition ) 00:06:47
• 11. Subtraction and Additive inverse 00:06:08
• 12. Example 1 (Addition and subtraction of matrices) 00:03:56
• 13. Example 2 (Addition and subtraction of matrices) 00:06:33
• 14. Properties of matrix addition 00:11:27
• 15. Transpose of Matrix 00:03:11
• 16. Example 1 (Properties of matrix addition) 00:03:18
• 17. Example 2 (Properties of matrix addition) 00:03:09
• 18. Example 3 (Properties of matrix addition) 00:04:09
• 19. Example 4 (Properties of matrix addition) 00:05:27
• 20. Example 5 (Properties of matrix addition) 00:06:30
• 21. Scalar multiplication of matrices 00:03:04
• 22. Matrix multiplication 00:15:53
• 23. Example 1 (Multiplication of matrices) 00:02:25
• 24. Example 2 (Multiplication of matrices) 00:04:23
• 25. Example 3 (Multiplication of matrices) 00:04:12
• 26. Example 4 (Multiplication of matrices) 00:04:23
• 27. Example 5 (Multiplication of matrices) 00:06:08
• 28. Properties of matrix multiplication 00:15:59
• 29. Example 1 (Properties of matrix multiplication) 00:02:09
• 30. Example 2 (Properties of matrix multiplication) 00:04:14
• 31. Example 3 (Properties of matrix multiplication) 00:05:17
• 32. Example 4 (Properties of matrix multiplication) 00:03:45
• 33. Example 5 (Properties of matrix multiplication) 00:03:56
• 1. Section Formula
• 1. Co-ordinate geometry(Syllabus) 00:04:39
• 2. Section formula 00:05:54
• 3. Internal division 00:17:10
• 4. Mid-point Formula 00:04:54
• 5. External division 00:14:01
• 6. Centroid Formula 00:13:12
• 7. Example 1 (Section formula) 00:05:15
• 8. Example 2 (Section formula) 00:04:43
• 9. Example 3 (Section formula) 00:03:14
• 10. Example 4 (Section formula) 00:04:15
• 11. Example 5 (Section formula) 00:10:01
• 12. Example 6 (Section formula) 00:11:05
• 13. Example 7 (Section formula) 00:08:51
• 14. Example 8 (Section formula) 00:08:23
• 15. Example 9 (Section formula) 00:14:41
2. Locus
• 1. Locus 00:14:21
• 2. Example 1 (Locus) 00:06:00
• 3. Example 2 (Locus) 00:05:57
• 4. Example 3 (Locus) 00:07:49
• 5. Example 4 (Locus) 00:07:33
• 6. Example 5 (Locus) 00:08:05
• 7. Example 6 (Locus) 00:07:25
• 8. Example 7 (Locus) 00:13:17
• 9. Example 8 (Locus) 00:06:55
3. Equation of Line
• 1. Basic concepts 00:16:34
• 2. Slope of a line joining two points 00:06:45
• 3. Example 1 (Basic Concepts) 00:02:51
• 4. Example 2 (Basic Concepts) 00:04:20
• 5. Example 3 (Basic Concepts) 00:04:18
• 6. Example 4 (Basic Concepts) 00:06:39
• 7. Slope-intercept form of line 00:07:03
• 8. Example 1 (Slope-intercept form) 00:06:00
• 9. Example 2 (Slope-intercept form) 00:05:35
• 10. Example 3 (Slope-intercept form) 00:06:34
• 11. Double-intercept form 00:07:23
• 12. Example 1 (Double-intercept form) 00:07:09
• 13. Example 2 (Double-intercept form) 00:04:45
• 14. Example 3 (Double-intercept form) 00:03:22
• 15. Example 4 (Double-intercept form) 00:05:13
• 16. Example 5 (Double-intercept form) 00:06:22
• 17. Example 6 (Double-intercept form) 00:11:54
• 18. Normal form of straight line 00:10:04
• 19. Example 1 (Normal form) 00:04:00
• 20. Example 2 (Normal form) 00:06:19
• 21. Example 3 (Normal form) 00:05:03
• 22. Example 4 (Normal form) 00:08:50
• 23. General equation of first degree in two variables 00:07:11
• 24. Reduction to Slope-intercept form 00:07:48
• 25. Reduction to Double-intercept form 00:05:26
• 26. Reduction to Normal form 00:10:24
• 27. Example 1 (Reduction of general equation) 00:02:48
• 28. Example 2 (Reduction of general equation) 00:02:55
• 29. Example 3 (Reduction of general equation) 00:13:38
• 30. Example 4 (Reduction of general equation) 00:07:10
• 31. Example 5 (Reduction of general equation) 00:04:49
• 32. Example 6 (Reduction of general equation) 00:07:04
• 33. Distance between a point and a line 00:15:58
• 34. Distance between parallel lines 00:11:27
• 35. Example 1 (Distance between a point and a line) 00:03:13
• 36. Example 2 (Distance between a point and a line) 00:08:15
• 37. Example 3 (Distance between parallel lines) 00:03:52
• 38. Example 4 (Distance between parallel lines) 00:04:46
• 39. Point-slope form 00:06:13
• 40. Two-point form 00:07:09
• 41. Example 1 (Point slope form) 00:02:40
• 42. Example 2 (Point-slope form) 00:04:33
• 43. Example 3 (Two-point form) 00:03:19
• 44. Example 4 (Two-point form) 00:04:25
• 45. Example 5 (Two-point form) 00:04:26
• 46. Example 6 (Two-point form) 00:06:52
4. Area
• 1. Area of triangle 00:21:45
• 2. Area of quadrilateral 00:08:19
• 3. Example 1 (Area of triangle) 00:04:09
• 4. Example 2 (Area of triangle) 00:06:42
• 5. Example 3 (Area of triangle) 00:04:54
• 6. Example 4 (Area of quadrilateral) 00:03:00
• 7. Example 5(Area of quadrilateral) 00:04:57
• 8. Example 6 (Area of triangle) 00:06:30
• 9. Example 7 (Area of triangle) 00:10:02
1. Angles
• 0. Trigonometry Syllabus Introduction 00:03:38
• 1. Angles 00:06:25
• 2. Sexagesimal system 00:07:34
• 3. Centesimal system 00:05:30
• 4. Relationship between degree and grade system 00:03:53
• 5. Example 1 (Degree and grade system) 00:03:06
• 6. Example 2 (Degree and grade system) 00:04:17
• 7. Example 3 (Degree and grade system) 00:09:44
• 8. Example 4 (Degree and grade system) 00:01:48
• 9. Example 5 (Degree and grade system) 00:01:58
• 10. Example 6 (Degree and grade system) 00:07:31
• 11. Example 7 (Degree and grade system) 00:05:33
• 12. Example 8 (Degree and grade system) 00:04:10
• 13. Example 9 (Degree and grade system) 00:04:52
• 14. Example 10 (Degree and grade system) 00:03:57
• 15. Circular measure 00:12:11
• 17. Example 1 (Radian measure) 00:03:01
• 18. Example 2 (Radian measure) 00:01:39
• 19. Example 3 (Radian measure) 00:01:59
• 20. Example 4 (Radian measure) 00:01:57
• 21. Example 5 (Radian measure) 00:05:12
• 22. Example 6 (Radian measure) 00:06:06
• 23. Example 7 (Radian measure) 00:07:54
• 24. Example 8 (Radian measure) 00:04:14
• 25. Relation between radius, arc-length and central angle 00:11:17
• 26. Example 1 (Relation between radius, arc-length and central angle) 00:04:06
• 27. Example 2 (Relation between radius, arc-length and central angle) 00:08:43
• 28. Example 3 (Relation between radius, arc-length and central angle) 00:10:30
2. Introduction to Trigonometric Ratios
• 1. Trigonometry (Introduction) 00:17:26
• 2. Reciprocal relations 00:08:07
• 3. Quotient relations 00:09:16
• 4. Pythagorean relations 00:11:52
• 5. Operation of Trigonometric ratios 00:14:06
• 6. Trigonometric Identities 00:09:31
• 7. Example 1 (Trigonometric ratios) 00:05:37
• 8. Example 2 (Trigonometric ratios) 00:09:44
• 9. Example 3 (Trigonometric ratios) 00:11:14
• 10. Example 4 (Trigonometric ratios) 00:07:52
• 11. Example 5 (Trigonometric ratios) 00:06:40
• 12. Example 6 (Trigonometric ratios) 00:06:45
• 13. Example 7 (Trigonometric ratios) 00:07:14
• 14. Example 8 (Trigonometric ratios) 00:04:44
• 15. Example 9 (Trigonometric ratios) 00:05:43
• 16. Example 10 (Trigonometric ratios) 00:07:35
3. Conversion of trigonometric ratios
• 1. Conversion of trigonometric ratios 00:06:05
• 2. Example 1 (Conversion of trigonometric ratios) 00:04:05
• 3. Example 2 (Conversion of trigonometric ratios) 00:03:13
• 4. Example 3 (Conversion of trigonometric ratios) 00:04:27
• 5. Example 4 (Conversion of trigonometric ratios) 00:07:12
• 6. Example 5 (Conversion of trigonometric ratios) 00:05:21
• 7. Example 6 (Conversion of trigonometric ratios) 00:04:01
• 8. Example 7 (Conversion of trigonometric ratios) 00:06:55
4. Trigonometric ratios of standard angles
• 1. Trigonometric ratios of standard angles 00:23:14
• 2. Example 1 (Trigonometric ratios of standard angles) 00:01:48
• 3. Example 2 (Trigonometric ratios of standard angles) 00:04:31
• 4. Example 3 (Trigonometric ratios of standard angles) 00:02:33
• 5. Example 4 (Trigonometric ratios of standard angles) 00:02:06
• 6. Example 5 (Trigonometric ratios of standard angles) 00:03:44
5. Trigonometric ratios of complementary angles
• 1. Trigonometric ratios of complementary angles 00:08:23
• 2. Example 1 (Trigonometric ratios of complementary angles) 00:03:11
• 3. Example 2 (Trigonometric ratios of complementary angles) 00:04:33
• 4. Example 3 00:01:53
• 5. Example 4 00:03:09
• 6. Example 5 (Trigonometric ratios of complementary angles) 00:03:16
• 7. Example 6 (Trigonometric ratios of complementary angles) 00:02:28
• 8. Example 7 (Trigonometric ratios of complementary angles) 00:02:39
• 9. Example 8 (Trigonometric ratios of complementary angles) 00:03:00
• 10. Example 9 (Trigonometric ratios of complementary angles) 00:03:21
6. Trigonometric ratio of any angle
• 1. Trigonometric ratio of any angle (90Â±Î¸) and (270Â±Î¸) 00:24:26
• 2. Trigonometric ratio of any angle (180Â±Î¸) and (360Â±Î¸) 00:20:37
• 3. Constructing trigonometric table 00:21:32
• 4. Example 1 (Trigonometric ratio of any angle) 00:08:31
• 5. Example 2 (Trigonometric ratio of any angle) 00:05:53
• 6. Example 3 (Trigonometric ratio of any angle) 00:06:31
• 7. Example 4 (Trigonometric ratio of any angle) 00:03:28
• 8. Example 5 (Trigonometric ratio of any angle) 00:03:30
• 9. Example 6 (Trigonometric ratio of any angle) 00:04:41
7. Compound angle
• 1. Compound angle 00:10:15
• 2. Compound angle (continued) 00:09:58
• 3. Example 1 (Compound angle) 00:06:30
• 4. Example 2 (Compound angle) 00:05:50
• 5. Example 3 (Compound angle) 00:01:55
• 6. Example 4 (Compound angle) 00:07:40
• 7. Example 5 (Compound angle) 00:04:03
• 8. Example 6 (Compound angle) 00:04:07
• 9. Example 7 (Compound angle) 00:05:48
• 10. Example 8 (Compound angle) 00:05:05
• 11. Example 9 (Compound angle) 00:05:10
• 12. Example 10(Compound angle) 00:07:11
• 1. Vectors Table of content 00:02:31
• 2. Introduction to vectors 00:16:08
• 3. Example 1 (Vectors) 00:04:35
• 4. Example 2 (Vectors) 00:04:24
• 5. Example 3 (Vectors) 00:02:48
• 6. Example 4 (Vectors) 00:04:28
• 7. Magnitude and direction of vectors 00:13:42
• 8. Some types of vectors 00:07:42
• 9. Position vector 00:05:45
• 10. Example 1 (Magnitue and direction of vectors) 00:02:57
• 11. Example 2 (Magnitue and direction of vectors) 00:05:06
• 12. Example 3 (Magnitue and direction of vectors) 00:05:23
• 13. Example 4 (Magnitue and direction of vectors) 00:06:17
• 14 Vector magnitude demonstration 00:17:45
• 15. Operation on vectors (Addition and subtration of vectors) 00:17:20
• 16. Operation on vectors (Multiplication of vectors) 00:02:45
• 17. Addition of vector Demonstration 00:17:41
• 18. Example 1(Operation on vectors) 00:03:27
• 19. Example 2 (Operation on vectors) 00:02:56
• 20. Example 3 (Operation on vectors) 00:02:00
• 21. Example 4 (Operation on vectors) 00:03:31
• 22. Example 5 (Operation on vectors) 00:04:33
• 23. Example 6 (Operation on vectors) 00:02:54
• 24. Example 7 (Operation on vectors) 00:04:44
• 25. Example 8 (Operation on vectors) 00:04:08
• 26. Example 9 (Operation on vectors) 00:05:27
• 1. Translation
• 1. Transformation Syllabus 00:04:17
• 2. Introduction 00:09:20
• 3. Translation (Using graphical method) 00:07:35
• 4. Translation (Using coordinates) 00:05:24
• 5. Example 1 (Translation) 00:04:14
• 6. Example 2 (Translation) 00:03:42
• 7. Example 3 (Translation) 00:04:36
• 8. Translation Demonstration 00:12:28
2. Reflection
• 1. Reflection (Using graphical method) 00:09:38
• 2. Reflection (Using cooerdinates) 00:16:03
• 3. Example 1 (Reflection) 00:04:37
• 4. Example 2 (Reflection) 00:10:32
• 5. Example 3 (Reflection) 00:03:43
• 6. Reflection Demonstration 00:12:15
3. Rotation
• 1. Rotation (Graphical method) 00:09:00
• 2. Rotation (Using co-ordinates) 00:22:06
• 3. Example 1 (Rotation) 00:06:34
• 4. Example 2 (Rotation) 00:09:41
• 5. Rotation Demonstration 00:17:54
4. Enlargement
• 1. Enlargement(Graphical method) 00:08:11
• 2. Enlargement (Using co-ordinates) 00:06:11
• 3. Example 1 (Enlargement) 00:04:15
• 4. Example 2 (Enlargement) 00:05:52
• 5. Example 3 (Enlargement) 00:03:51
• 6. Enlargement demonstration 00:13:28
1. Partition Values
• 1. Statistics Syllabus 00:03:37
• 2. Partition values(Quartiles) 00:12:33
• 3. Partition values(Deciles and percentiles) 00:04:56
• 4. Example 1 (Partition values) 00:05:06
• 5. Example 2(Partition values) 00:08:49
• 6. Example 3 (Partition values) 00:02:28
• 7. Example 4 (Partition values) 00:15:48
• 8. Example 5 (Partition values) 00:08:52
2. Dispersion
• 1. Dispersion 00:12:07
• 2. Quartile deviation and its co-efficient 00:05:05
• 3. Example 1 (Quartile deviation) 00:06:01
• 4. Example 2 (Quartile deviation) 00:10:15
• 5. Example 3 (Quartile deviation) 00:04:23
• 6. Mean deviation and its coefficient 00:06:25
• 7. Example 1 (Mean deviation) 00:08:34
• 8. Example 2 (Mean deviation) 00:08:37
• 9. Example 3 (Mean deviation) 00:06:16
• 10. Example 4 (Mean deviation) 00:09:07
• 11. Standard deviation and its coefficient 00:09:05
• 12. Example 1 (Standard deviation) 00:08:31
• 13. Example 2 (Standard deviation) 00:07:46
• 14. Example 3 (Standard deviation) 00:08:18
• 15 Standard Deviation Demonstration 00:12:35
Requirements
• Students are required to have sound knowledge of Class 8 optional math , based on CDC curriculum.
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Description

The videos herein are strictly based on Nepal CDC curriculum, promoting e-Learning in Nepal and are made with intention to provide guidance to the Class 9 students, for securing good score in finals. The course tries to cover all the basics of Algebra, Limit & Continuity, Matrix, Co-ordinate Geometry ,Trigonometry, Vector and Transformation along with solution of most frequently asked questions with fundamental theories and numerical needed for completing Class 9's Optional Math. We strongly believe that, viewers will be benefited from these videos and the thirst of curiosity of viewers will be quenched! Feedbacks and suggestion to improve are always welcome and highly appreciated!

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