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: The document explains the 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 on 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
