**1. Multiplication of Matrices**

**Description:** The web link contains a worksheets and multiplication of matrices.

**Core Concepts:** 12P-A1 Matrix.

**Links: **

**2. Addition of Matrices**

**Description:** The web link contains a worksheets and addition of matrices.

**Core Concepts: **12P-A1 Matrix.

**Links:**

**3. Properties of Addition**

**Description:** A video contains properties of matrix addition.

**Core Concepts: **12P-A1 Matrix.

**4. Properties of Multiplication**

**Description:** A video contains properties of multiplication.

**Core Concepts: **12P-A1 Matrix.

**5. Matrix Transpose**

**Description:** A video contains transpose of a matrix.

**Core Concepts: **12P-A1 Matrix.

**6. Adjoint of Matrix 2x2**

**Description:** A video contains how to find the adjoint of matrix 2x2 and matrix 3x3

**Core Concepts: **12P-A1 Matrix.

**Links:**

**7. Adjoint of Matrix**

**Description:** A video contains how to find the inverse of matrix 2x2.

**Core Concepts: **12P-A1 Matrix.

**Link:** Video on how to find the inverse of matrix 2x2

**Description:** The web link contains a worksheet on the inverse of matrix 2x2.

**Core Concepts: **12P-A1 Matrix.

**Link:** Webpage on the inverse of matrix 2x2

**Description:** The web link contains a worksheet on the adjoint of matrix 2x2.

**Core Concepts: **12P-A1 Matrix.

**8. Inverse of Matrix**

**Description:** A video contains how to find the inverse of matrix 3x3.

**Core Concepts: **12P-A1 Matrix.

**Link:** Video on how to find the inverse of matrix 3x3

**Description:** The web link contains a worksheet on the inverse of matrix 3x3.

**Core Concepts: **12P-A1 Matrix.

**9. Annuity**

**Description:** The web link contains a video explaining the meaning of future value and how the formula for future value is generated.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on how the formula for future value is generated

**Description:** The web link contains a video explaining Future Value for immediate annuity with two examples.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on future value for immediate annuity with examples

**Description:** The web link contains a video explaining Future value of annuity due with an example.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on future value of annuity due with an examples

**Description:** The web link contains a video showing an example on how to find the installment needed to be deposited to have a certain future value.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on how to find the installment needed to be deposited to have a certain future value

**Description:** The web link contains a video explaining the relation between future value and present value and derives the formula for present value.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on relation between future and present value derives the formula for present value

**Description:** The web link contains a video explaining the meaning of perpetual annuity and its formula to find present value of a perpetual annuity with an example.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on present value of a perpetual annuity with an example

**Description:** The web link contains a video explaining two examples of finding present value for immediate annuity using different methods.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on present value of a perpetual annuity with an example

**Description:** The web link contains a video explaining the present value of an annuity due with two examples.

**Core Concepts: **12B-A2 Annuity.

**Link:** Video on present value of an annuity due with two examples

**Description: **The web link (slide 1 to 10) contains a PowerPoint presentation defining different terms and different types of annuities.**Core Concepts: **12B-A2 Annuity.

**Link:** PPT on defining different terms and different types of annuities

**Description: **The web links contain online RD calculators of different banks.

**Core Concepts: **12B-A2 Annuity.

**Links:**

**Webpage on RD calculators of different banks**- Webpage on RD calculators of different banks
- Webpage on RD calculators of different banks

**Description: **The web link contains an online EMI calculator of loans for different banks.

**Core Concepts: **12B-A2 Annuity.

**Links:**

**10. Discount**

**Description:** The web link contains a worksheet for students on Discount.

**Core Concepts: **12B-A3 Discount.

**Link:** Webpage on discount

**Description:** The web link contains notes on meaning of trade discount, present value, true discount, banker’s discount , banker’s gain

**Core Concepts: **12B-A3 Discount.

**Link: **Webpage on discount

**Description:** The web links contain notes on calculating trade discount, present value, true discount, banker’s discount and banker’s gain.

**Core Concepts: **12B-A3 Discount.

**Links: **

**Webpage on trade discount**- Webpage on trade discount
- Video on trade discount
- Webpage on trade discount
- Webpage on trade discount

**Description:** The web links contain practice questions for Discount and trade discount.

**Core Concepts: **12B-A3 Discount.

**Links: **

**11. Counting Rule**

**Description:** The web link contains the video explaining the fundamental principle of counting.

**Core Concepts: **12B-A3 Permutation and combination.

**12. Permutation**

**Description:** The link contains video explanations of different methods to calculate permutation of n things taken r at a time.

**Core Concepts: **12B-A3 Permutation and combination.

**Link:** Video on methods to calculate permutation

**Description: **The weblink contains a video explaining an example of formation of numbers when repetition is not allowed and when repetition is allowed.

**Core Concepts: **12B-A3 Permutation and combination.

**Link:** Video on formation of number

**Description: **The weblink contains a video explaining an example of arrangement of people on chairs

**Core Concepts: **12B-A3 Permutation and combination.

**Link:** Video on arrangement of people on chairs

**Description: **The weblink contains a video explaining an example of forming anagram (permutation of alike things).

**Core Concepts: **12B-A3 Permutation and combination.

**Link:** Video on forming of anagram

**Description: **The weblink contains a video explaining circular permutations with examples.

**Core Concepts: **12B-A3 Permutation and combination.

**13. Combination**

**Description:** The weblink contains videos explaining different methods to calculate combinations.

**Core Concepts: **12B-A3 Permutation and combination.

**Link:** Video on different method to calculate combinations

**Description:** The web links contain a video explaining an example of selection of a group of boys and girls.

**Core Concepts: **12B-A3 Permutation and combination.

**14. Combination and Permutation**

**Description:** The web links contain worksheet on combination and permutation.

**Core Concepts: **12B-A3 Permutation and combination

**15. General Understanding on Derivative**

**Description:** The link contains video general understanding of what is derivative.

**Core Concepts: **12B-B1 Differentiation.

**16. Algebraic Differentiation**

**Description:** The weblink contains video on derivatives using difference quotient

**Core Concepts: **12B-B1 Differentiation.

**Link:** Video on derivatives using different quotient

**Description**: The web link contains videos on derivatives using chain rule.

**Core Concepts:** 12B-B1 Differentiation.

**Link**: Video on derivatives using chain rule

**Description**: The weblink contains video on derivatives of constant.

**Core Concepts:** 12B-B1 Differentiation.

**Link**: Video on derivatives of constant

**Description**: The weblink contains video on derivative using quotient rule.

**Core Concepts:** 12B-B1 Differentiation.

**Link**: Video on derivatives using quotient rule

**Description**: The weblink contains video on derivative using product rule.

**Core Concepts:** 12B-B1 Differentiation.

**17. Implicit Derivative**

**Description:** The link contains a video on the derivative of implicit function.

**Core Concepts: **12B-B1 Differentiation.

**18. Parametric Derivative**

**Description:** The link contains derivatives of the parametric of functions.

**Core Concepts: **12B-B1 Differentiation.

**19. Differentiation of Function with Another Function**

**Description:** The weblink contains a video lesson, the procedures and steps involved differentiating function with respect to other functions.

**Core Concepts: **12B-B1 Differentiation.

**20. Successive Differentiation**

**Description:** The weblink contains video on successive differentiation

**Core Concepts: **12B-B1 Differentiation.

**Links:**

**21. Condition for Maxima and Minima**

**Description:** The link contains the notes second condition for maxima and minima.

**Core Concepts: **12B-B1 Differentiation.

**22. Introduction of Point of Inflexion**

**Description:** The link contain the video on introduction of point of inflexion.

**Core Concepts: **12B-B1 Differentiation.

**23. The Point of Inflexion**

**Description:** The weblink contains point of inflexion video graphically.

**Core Concepts: **12B-B1 Differentiation.

**Link: ****Video on graphically**

**Description:** The weblink contains worksheet on the point of inflexion.

**Core Concepts: **12B-B1 Differentiation.

**Link: ****Webpage on point of inflexion**

**Description:** The link contains practice question points of inflexion.

**Core Concepts: **12B-B1 Differentiation

**24. Maxima and Minima**

**Description:** Link contains an application of derivatives in algebraic problems.

**Core Concepts: **12B-B1 Differentiation.

**25. Application Derivatives**

**Description:** The contains the application of derivatives.

**Core Concepts: **12B-B1 Differentiation.

**26. Integration**

**Description:** link contains a video on basic integral rules for algebraic and trigonometric functions.

**Core Concepts: **12B-B2 Integration.

**Link: Video on basic integral rules for algebraic and trigonometric functions**

**Description:** link contains a video on substitution method for simple algebraic and trigonometric functions.

**Core Concepts: **12B-B2 Integration.

**Link: Video on substitution method for simple algebraic and trigonometric functions**

**27. Integration**

**Description:** The weblink contains a power point presentation on partial fraction decompositions.

**Core Concepts: **12B-B2 Integration.

**Link: PPT on partial fraction decompositions**

**Description:** The weblink contains video explaining an example of integration using partial fractions (non-repeated linear factor).

**Core Concepts: **12B-B2 Integration.

**Link: Video on explaining an example of integration using partial fractions**

**28. Applications of Calculus**

**Description:** pdf. file Application of calculus in Commerce and Economics .

**Core Concepts: **12B-B3 Application of calculus in Commerce and Economics.

**Link: PDF on application of calculus in commerce and economics**

**Description:** Explains about functions and break-even analysis with the examples.

**Core Concepts: **12B-B3 Application of calculus in Commerce and Economics.

**Link: Video on function and break-even analysis with examples**

**Description:** Defines about revenue function, cost function and profit function with solved problem.

**Core Concepts: **12B-B3 Application of calculus in Commerce and Economics.

**Link: Video on revenue, cost and profit function with solved problem**

**Description:** Discusses about marginal and break even analysis with the examples.

**Core Concepts: **12B-B3 Application of calculus in Commerce and Economics.

**Link: Video on marginal and break even analysis with examples**

**29. Points and their Coordinates in 3-Dimensions**

**Description:** The web link contains a video explaining a point in 3D-coordinate system.

**Core Concepts: **12B-CD1 Points and their coordinates in 3-dimensions.

**Link: Video on explaining a point in 3D-coordinate system**

**Description:** The web link contains a video explaining the distance formula in 3D space.

**Core Concepts: **12B-CD1 Points and their coordinates in 3-dimensions.

**Link: Video on explaining the distance formula in 3D space**

**Description:** The web link contains notes on Section formula with solved examples and practice questions and quiz.

**Core Concepts: **12B-CD1 Points and their coordinates in 3-dimensions.

**Link: Webpage on section formula with solved examples and practice questions and quiz**

**Description:** The weblink contains the concept of Direction cosines and direction ratios.

**Core Concepts: **12B-CD1 Points and their coordinates in 3-dimensions.

**Link: Webpage on direction cosines and direction ratios**

**Description:** The web link contains a video on the introduction of direction cosines and direction ratios.

**Core Concepts: **12B-CD1 Points and their coordinates in 3-dimensions.

**Link: Video on introduction of direction cosines and direction ratios**

**30. Conic Section**

**Description:** The web link contains a GeoGebra worksheet on different conic sections formed when plane cutting the double-napped cone is inclined at different angles.

**Core Concepts: **12B-CD2 Conic section.

**Link: Webpage on different conic section formed**

**Description:** The web link contains a video explaining conics on a circular cone.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on explaining conics on a circular cone**

**Description:** The web link contains a GeoGebra worksheet where one can manipulate the focus and directrix and to check the points on parabola; to help students visualize a parabola as locus of points equidistant from a fixed point, focus and fixed line, directrix.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Webpage on geogebra worksheet**

**Description:** The web link contains video introducing parabolas.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on introducing parabolas**

**Description:** The web link contains video on finding focus, directrix, eccentricity, latus rectum and axes of standard form of right-handed parabola.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on finding focus, directrix, eccentricity, latus rectum and axes **

**Description:** The web link contains video on finding focus, directrix, eccentricity, latus rectum and axes of standard form of downward parabola.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on finding focus, directrix, eccentricity, latus rectum and axe**

**Description:** The web link contains the summary table of standard form of parabola, solved problems and quiz to check students’ understanding.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Webpage on standard form of parabola**

**Description:** The web link contains video solving example on finding focus, directrix, eccentricity, latus rectum and axes for a given standard form of parabola.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on solving example on finding focus, directrix, eccentricity, latus rectum and axes**

**Description:** The web link contains video solving example on finding focus, directrix, eccentricity, latus rectum and axes for a given standard form of parabola.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on solving example on finding focus, directrix, eccentricity, latus rectum and axes**

**Description:** The web link contains calculator for equation of parabola.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Webpage on calculator for equation of parabola**

**Description:** The web link contains video solving an example when a general equation of parabola is given.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on solving an example when a general equation of parabola is given**

**Description:** The web link contains a GeoGebra worksheet to allow students to visualize how ellipse changes when the components change and vice versa.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Webpage on geogebra worksheet**

**Description:** The web link contains video introducing ellipse and its components:

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on introducing ellipse and its components**

**Description:** The web link contains video introducing hyperbola and explains its components:

**Core Concepts: **12B-CD2 Conic sections.

**Link: Video on introducing hyperbola and explain its components**

**Description:** The web link contains a chart with summary of the properties of different conics.

**Core Concepts: **12B-CD2 Conic sections.

**Link: Webpage on chart with summary of the properties of different conics**

** ****Description:** The web links contain videos solving example questions on finding the equation of parabola in standard form when condition(s) are given.

**Core Concepts: **12B-CD2 Conic sections.

**Links:**

**Video on solving example question on finding the equation of parabola****Video on solving example question on finding the equation of parabola****Video on solving example equation on finding the equation of parabola**

**Description:** The web links consist of video lessons introducing and solving questions on Ellipse in standard form.

**Core Concepts: **12B-CD2 Conic sections.

**Links:**

**Video on lesson introducing and solving questions on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form****Video on lesson introducing and solving question on ellipse in standard form**

**Description:** The web link contain online calculator for the equation of ellipse.

**Core Concepts: **12B-CD2 Conic sections.

**Link:**** Webpage on online calculator for the equation of ellipse**

**Description:** The web links consist of video lessons introducing and solving questions on Hyperbola in standard form.

**Core Concepts: **12B-CD2 Conic sections.

**Links:**

**Video on lesson introducing and solving question on hyperbola in standard form**- Video on lesson introducing and solving question on hyperbola in standard form
- Video on lesson introducing and solving question on hyperbola in standard form

**Description:** The web link contains online calculator for equation of hyperbola.

**Core Concepts: **12B-CD2 Conic sections.

**Link:**** Webpage on online calculator for equation of hyperbola**

**Description:** The web link contains a GeoGebra worksheet on parabola.

**Core Concepts: **12B-CD2 Conic sections.

**Link: ****Webpage on geogebra worksheet on parabola**

**Description:** The web link contains a GeoGebra worksheet on ellipse.

**Core Concepts: **12B-CD2 Conic sections.

**Link: ****Webpage on geogebra worksheet on ellipse**

**Description:** The web link contains a GeoGebra worksheet on hyperbola.

**Core Concepts: **12B-CD2 Conic sections.

**31. Correlation **

**Description:** The web link contains a video explaining the correlation between two variables with the use of scatter plot.

**Core Concepts: **12B-E1 Correlations.

**Link: Video on explaining the correlation between two variable with the use of scatter plot**

**Description:** The web link contains a video on use of covariance formula to find Karl Pearson’s coefficient of correlation.

**Core Concepts: **12B-E1 Correlations.

**Link: Video on use of covariance to find karl pearson's coeffiecient of correlation**

**Description:** The web link contains a video solving an example using the formula of Spearman’s rank correlation coefficient.

**Core Concepts: **12B-E1 Correlations.

**Link: Video on solving an example using the formula of spearman's rank correlation coefficient**

**Description:** The web link contains an article to compare between Pearson’s and Spearman’s correlation coefficient.

**Core Concepts: **12B-E1 Correlations.

**Link: PDF on compare between pearson's and spearman's correlation coefficient**

**32. Regression **

**Description:** The web link contains a video explaining a regression of y on X.

**Core Concepts: **12B-E2 Correlations.

**33. Probability: Pre Assessment Permutation and Combination **

**Description:** The weblink contains video on concept of permutation and combination .

**Core Concepts: **12B-E3 Probability.

**34. Probability (Permutation and Combination) **

**Description:** The weblink contains lesson on the concepts of calculating probability using permutation and combination.

**Core Concepts: **12B-E3 Probability.

**Link: Video on concept of calculating probability using permutation and combination**

**35. Probability (Permutation) **

**Description:** The weblink contains notes on calculating probability using permutation.

**Core Concepts: **12B-E3 Probability.

**Links: **

**36. Probability (combination) **

**Description:** The weblink contains notes on calculating probability using combination.

**Core Concepts: **12B-E3 Probability.

**Links: **

**37. Probability (Addition Rule of Probabilities) **

**Description:** The weblink which contains a lesson on building the concepts on the addition rule of probabilities.

**Core Concepts: **12B-E3 Probability.

**Link: Video on concept on the addition rule of probabilities**

**38. Probability (Dependent and Independent) **

**Description:** The weblink which contains the concepts with examples on finding probability dependent and independent events .

**Core Concepts: **12B-E3 Probability .

**Link: Video on finding probabilities dependent and independent events**

**39. Probability (Multiplication Theorem) **

**Description:** The weblink which contains video lessons on understanding the concepts on multiplication theorem on probability.

**Core Concepts: **12B-E3 Probability.

**Link: Video on understanding the concepts on multiplication theorem on probability**

**40. Probability (Conditional) **

**Description:** The weblink which contains a video lesson on conditional probability.

**Core Concepts: **12B-E3 Probability.

**41. Probability (Notes on Conditional) **

**Description:** The weblink contains notes and video lessons on conditional probability.**Core Concepts: **12B-E3 probability **Link: Webpage on conditional probability**

**42. Probability (Multiplication Theorem on Dependent Probability) **

**Description:** The weblink contains video lessons on multiplication theorem on dependent probability.

**Core Concepts: **12B-E3 Probability.

**Link: Video on multiplication theorem o dependent probability**

**43. Probability (Combination and Permutation) **

**Description:** The weblink contains video finding probability using combination and permutation.

**Core Concepts: **12B-E3 Probability.

**Link: Webpage on finding probability using combination and permutation**