**1. Determinants**

**Description:** This web link contains a pdf file on the “introduction” and “brief history” of the determinants.

**Core Concepts:** “Introduction and “History” of the Determinants.

**Link: **PDF file on the history of Determinant

**Description:** This web link contains a webpage on the importance of learning determinants, as well as the utility and scope of this chapter.

**Core Concepts:** “Utility” and “scope” of the Determinants.

**Link: **Webpage on the utility and scope of determinant

**Description:** This web link contains a video lesson on the concepts on determinants, its type and examples.

**Core Concepts:** Concepts of determinants of a Matrix.

**Link: ** Video on the concept of Determinant

**Description:** This web link includes a video lesson on calculating 2x2 determinants, detailing the procedures, steps, and methods involved.

**Core Concepts:** Finding the determinant of order 2.

**Link: ** Video on finding the determinant of order 2

**Description:** This web link contains a video lesson on calculating determinants of order 3, detailing the procedures, steps, and methods involved.

**Core Concepts:** Finding the determinant of order 3.

**Link: **Video on finding the determinant of order 3

**Description:** This web link contains a video lesson on finding the minor and cofactor of a determinant.

**Core Concepts:** Minor and cofactor of determinants .

**Link: **Video on understanding the Minors and Cofactors of a Determinant

**Description:** This web link contains a video lesson on solving a system of equations in two and three variables using Crammer’s rule.

**Core Concepts:** Solving a system of equations using Cramer’s rule.

**Links:**

**Description:** This web link contains a video lesson on the concepts on what is consistency, checking through the graphical methods.

**Core Concepts:** Understanding the consistency of a system graphically.

**Link: **Video on visualizing the consistency of a system

**Description:** This web link includes a PDF file containing a flowchart for checking a system for consistency.

**Core Concepts:** Checking a system for consistency.

**Link: **PDF file on the consistency of a system

**Description:** This web link contains a video lesson on calculating minor and cofactor of determinants.

**Core Concepts:** Understanding the minor and cofactor of determinants.

**2. Logarithm**

**Description:** This web link contains a web page on the introduction of logarithm.

**Core Concepts: **Introduction on logarithm.

**Link: **Webpage on the introduction of logarithm

**Description:** This web link contains the utility and scope of logarithm.

**Core Concepts: **Utility and scope of logarithm.

**Link: **Web page on utility and scope of logarithm

**Description:** This web link directs to a webpage containing the laws of exponents.

**Core Concepts: **Laws of exponents.

**Link: **Laws of exponents

**Description:** These weblinks contain videos on the concept of logarithm.

**Core Concepts: **Definition logarithm.

**Links: **

**Description:** This weblink contains a video lesson on the laws and properties of logarithm.

**Core Concepts: **Laws and properties of log.

**Link: **Video on the laws of logarithm

**Description:** This web link contains a web page containing some questions on logarithm.

**Core Concepts: **Practice question on logarithm.

**Link: **Webpage of questions on logarithm

**Description:** This web link contains a video lesson on the application of the laws of logarithm.

**Core Concepts: **Application of the laws of logarithm.

**3. Binomial Theorem**

**Description:** This web link contains a web page on brief introduction and the history of binomial theorem.

**Core Concepts: **Introduction and history of binomial theorem.

**Link: **Webpage on the introduction of binomial theorem

**Description:** This web link contains a web page on the utility and scope of binomial theorems.

**Core Concepts: **Utility and scope on binomial theorem.

**Link: **Webpage on the utility and scope of binomial theorem

**Description:** These web links contain video lessons about the basic concept of binomial theorem.

**Core Concepts: **Introduction and concept of binomial theorem.

**Links: **

**Description:** This web link contains a video lesson on the properties of binomial theorem and their importance in solving binomial theorem .

**Core Concepts: **Properties of binomial theorem.

**Link: **Properties of binomial theorem

**Description:** This web link contains quiz questions on binomial theorems.

**Core Concepts: **Quiz on binomial theorem.

**4. Banking**

**Description:** This web link contains a webpage on the introduction of Banking.

**Core Concepts: **Introduction of banking.

**Link: ** Introduction to banking

**5. Sequence and Series**

**Description:** This web link contains a presentation on the history and introduction of sequence and series.

**Core Concepts: **History and introduction of sequence and series.

**Link: **Webpage on history of sequence and series

**Description:** This web link contains a video lesson on the differences between A.P. and G.P.

**Core Concepts: **Arithmetic Differences between A.P. and G.P.

**Link: **Video on difference between A.P. and G.P.

**Description:** This web link contains a video lesson on the derivation of the n^{th }term of A.P.

**Core Concepts: **Arithmetic Progression and its general term.

**Link: **video on the derivation of general term of Arithmetic Progression

**Description:** This web link contains a webpage consisting of questions on the general term of an Arithmetic Progression.

**Core Concepts: **Questions related to the general term of an A.P.

**Link: **Webpage with questions on Arithmetic Progression

**Description:** The web link contains a video lesson on derivation of sum of *n* terms of an A.P.

**Core Concepts: **Sum of *n* terms of an A.P.

**Link: **Video on the formula of sum of n terms of A.P.

**Description:** This web link contains a video lesson on the concept of geometric sequence.

**Core Concepts: **Concept of geometric sequence.

**Link: **Video on the concept of G.P.

**Description:** This web link contains a video lesson about the general term of a geometric progression.

**Core Concepts: **General Term of Geometric Progression.

**Link: **Video on nth term of G.P.

**Description:** This web link contains a video on first n terms of Geometric Series.

**Core Concepts: **Partial sum of Geometric Series.

**Link: **Video on the n terms of G.P.

**Description:** This web link contains a video lesson on the sum of infinite Geometric Series.

**Core Concepts: **Sum of infinite Geometric Series.

**Link: **Video on the sum of infinite G.S.

**Description:** This web link contains a video lesson on the derivation of the sum of *n* natural numbers.

**Core Concepts: **Sum of *n* natural numbers.

**Link: **Video on the sum of natural numbers

**Description:** This web link contains a video lesson on the sum of squares of natural numbers.

**Core Concepts: **Sum of the squares of natural numbers.

**Link: **Video on the sum of the squares of natural numbers

**Description:** This web link contains a web page on the sum of the cubes of natural numbers.

**Core Concepts: **Sum of the cubes of natural numbers.

**6. **Remainder and Factor Theorem

**Description:** This web link contains a web page about the introduction to the remainder and factor theorem.

**Core Concepts: **Introduction to the remainder and factor theorem.

**Link: **Webpage on the remainder and factor theorem introduction

**Description:** This web link contains a video lesson on the application of remainder and factor theorem.

**Core Concepts: **Application of remainder and factor theorem.

**Link: **Video on the applications of remainder and factor theorem

**Description:** This web link contains a worksheet on remainder and factor theorem.

**Core Concepts: **Worksheet on remainder and factor theorem.

**7. **Quadratic Equations

**Description:** This web link contains a research paper on the history and introduction of quadratic equations.

**Core Concepts: **Introduction and History of quadratic equations.

**Link: **Research paper on Quadratic Equations

**Description: **These web links contain videos on the utility and scope of quadratic equations in real life.

**Core Concepts: **Utility and scope of quadratic equation.

**Links: **

**Video on utility and scope of quadratic equations 1**- Video on utility and scope of quadratic equations 2
- Video on utility and scope of quadratic equations 3

**Description: **This web link contains a worksheet on quadratic equations.

**Core Concepts: **Worksheet in quadratic equation.

**Link: **Worksheet on quadratic equations

**Description: **This web link contains a video on solving quadratic equations using formula methods.

**Core Concepts: **Solving quadratic equations by formula method.

**Link: **Video on solving quadratic equations by formula method

**Description: **This web link contains a video on the discriminant and the nature of roots of quadratic equations.

**Core Concepts: **Discriminant and nature of roots.

**Link: **Video on discriminant and nature of roots

**Description: **This web link contains a video lesson on solving quadratic inequalities algebraically.

**Core Concepts: **Solving quadratic inequalities algebraically.

**Link: **Video on solving inequalities

**Description: **This web link contains a video on graphing the quadratic inequality, its methods and strategies.

**Core Concepts: **Graphing inequality.

**8. **Partial Fractions

**Description:** This web link contains a web page containing an introduction to Partial Fractions.

**Core Concepts: **Introduction to partial fraction.

**Link: **Webpage of introduction to partial fraction

**Description:** This web link contains a webpage on the applications of partial fractions in real life.

**Core Concepts: **Utility and scope on partial fraction.

**Link: **Web page on utility and scope of partial fraction

**Description:** This web link features a video lesson on decomposing rational fractions with non-repeating linear factors in their denominators into partial fractions.

**Core Concepts: **Resolving rational fractions of denominators containing non-repeated linear factors.

**Link: **Video on resolving partial fractions with non-repeated linear factors

**Description:** The concepts regarding repeated linear factors, its solution and procedures are explained.

**Core Concepts: **Resolving rational fraction containing repeated linear factors.

**Link: **Video on partial fractions of repeated linear factors

**Description:** This web link contains a video lesson on partial fractions of rational fractions with quadratic factors.

**Core Concepts: **Resolving rational fraction containing repeated linear factors.

**Link: **Video on partial fraction of quadratic linear factors

**Description:** This web link contains a video lesson on partial fractions of improper rational fractions.

**Core Concepts: **Resolving improper fractions into partial fractions.

**Link: **Video on partial fractions of improper rational fractions

**Description:** This web link contains a web page containing some questions on partial fractions for practice.

**Core Concepts: **Practice questions on partial fractions.

**9. Limits**

**Description:** This web link contains a web page on the introduction of Limits.

**Core Concepts: **Introduction of Limits.

**Link: **Web page on the introduction of limits

**Description:** This web link contains a video lesson on the utility and scope of limits.

**Core Concepts: **Utility and Scope of Limits.

**Link: **Video on utility and scope of limits

**Description:** This web link contains a video lesson on the concept of limits.

**Core Concepts: **Concept of Limits.

**Link: **Video on concept of limit

**Description:** This web link contains a video lesson on the right and left hand limits.

**Core Concepts: **Right and left hand limits.

**Link: **Video on right and left hand limits

**Description:** This web link offers a video lesson on determining the existence of limits at a specific point.

**Core Concepts: **Determining the existence of limits at a specific point..

**Links: **

**Description:** This web link contains a web page on the theorems of limits.

**Core Concepts: **Limit Theorems.

**Link: **Web page on limit theorems

**Description:** This web link provides a video lesson on evaluating the limit of a function using direct substitution.

**Core Concepts: **Evaluating the limit of a function using direct substitution.

**Link: **Video on limit by direct substitution

**Description:** This web link provides a video lesson on evaluating the limit of a function using factorization.

**Core Concepts: **Evaluating the limit of a function using direct substitution.

**Link: **Video on limits by factorization

**Description:** This web link provides a video lesson on evaluating the limit of a function using rationalisation.

**Core Concepts: **Evaluating the limit of a function using rationalisation.

**Link: **Video on limit by rationalisation

**Description:** This web link provides a video lesson on evaluating the limit of a function using expansion.

**Core Concepts: **Evaluating the limit of a function using expansion.

**Link: **Video on evaluating limit by expansion

**Description:** This web link provides a video lesson on evaluating the limit of a function at infinity.

**Core Concepts: **Evaluating the limit of a function at infinity.

**Link: **Video of limit at infinity

**Description:** This web link contains a live worksheet on limits.

**Core Concepts: **Limit worksheet.

**Link: **Worksheet on limits

**Description:** These web links contain video lessons on the concept of continuity and discontinuity of functions.

**Core Concepts: **Continuity and discontinuity of a function.

**Links: **

**Description:** This web link contains a video lesson on testing for continuity of a function.

**Core Concepts: **Testing for continuity of a function.

**Link: **Video on the continuity of a function

**Description:** This web link contains a video lesson on finding the limit of removable discontinuity.

**Core Concepts: **Removable discontinuity.

**Link: **Video on removable discontinuity

**Description:** This web link provides a video lesson explaining the continuity functions over an interval.

**Core Concepts: **Continuity of functions over an interval.

**Link: **Video on the continuity over an interval

**Description:** This web link provides a web page containing some questions on the continuity of functions.

**Core Concepts: **Questions on continuity of functions.

**10. Differentiation**

**Description:** These web links provide video lessons on the History of Calculus.

**Core Concepts: **History and Introduction of Calculus.

**Links: **

**Video on History of Calculus 1**- Video on History of Calculus 2
- Video on History of Calculus 3
- Video on History of Calculus 4

**Description:** This web link provides a video lesson on the concept of differentiation.

**Core Concepts: **Concept of differentiation.

**Link: **Video on concept of differentiation

**Description:** This web link provides a video on the differentiation of a function by Definition.

**Core Concepts: **Differentiating a function by definition/ first principle.

**Links: **

**Description:** This web link contains a video lesson on differentiating a function using the product rule.

**Core Concepts: **Differentiation of product of two functions.

**Link: **o Video on differentiating by production rule

**Description:** This web link contains a video lesson on differentiating a function using the quotient rule.

**Core Concepts: **Differentiation of quotients of two functions.

**11. Integration**

**Description:** This web link contains a pdf file containing the history of integration.

**Core Concepts: **History of Integral Calculus.

**Link: **PDF file on history of integration

**Description:** This web link contains a video lesson on the concept of integration.

**Core Concepts: **Understanding integration as a reverse process of differentiation.

**Link: **Video on the integration as a reverse process

**Description:** This web link contains a video lesson on the notation of integral.

**Core Concepts: **Notation and the meaning of integral sign.

**Link: **Video on the symbol of integration

**Description:** This web link contains a video lesson on the arbitrary constant of integrals.

**Core Concepts: **Arbitrary constant of integral.

**Link: **Video on the constant of integral

**Description: **These web links contain pdf files containing some questions on integration.

**Core Concepts: **Practice questions on integration.

**Links: **

**Description:** These web links contain video lessons on integration by substitution.

**Core Concepts: **Integration by substitution.

**Links: **

**12. Points and their coordinates in 2-D**

**Description:** This web link contains a web page on the history of coordinate geometry.

**Core Concepts: **History and Introduction of coordinate geometry.

**Link: **Web page on the history of coordinate geometry

**Description:** This web link contains a web page containing some utilities and scopes of coordinate geometry.

**Core Concepts: **Utility and Scope of Coordinate Geometry.

**Link: **Web page on the utility and scope of coordinate geometry

**Description:** This web link contains a video lesson explaining the cartesian coordinate system.

**Core Concepts: **Cartesian coordinate system.

**Link: **Video on Cartesian coordinate system

**Description:** This web link contains a video lesson on the distance formula.

**Core Concepts: **Distance between two points in 2-D plane.

**Link: **Video on distance formula

**Description:** This web link contains a video lesson on the application of distance formula.

**Core Concepts: **Application of distance formula.

**Link: **Video on distance formula applications

**Description:** This web link features a video lesson on the section formula for 2-D coordinates.

**Core Concepts: **Section formula.

**Link: **Video on the concept of Section formula

**Description:** These web links lead to web pages that contain questions on the application of the section formula.

**Core Concepts: **Application of section formula.

**Links: **

**Description:** This web link contains a video lesson on the derivation of section formula for external division.

**Core Concepts: **Section formula for external division.

**Link: **Video on section formula of external division

**Description:** This web link leads to a web page featuring interactive quiz questions on the 2-D coordinate system.

**Core Concepts: **Quiz on 2-D coordinate system.

**13. The Straight Line**

**Description:** This web link contains a video lesson on slope and y-intercept form of a straight line.

**Core Concepts: **Slope and y-intercept form of straight line.

**Link: **Video on slope and y-intercept form

**Description:** This web link contains a video lesson on the point slope form of a straight line.

**Core Concepts: **Point slope form of a straight line.

**Link: **Video on point slope form

**Description:** This web link contains a video lesson on the two-point form of a straight line.

**Core Concepts: **Two-point form of a straight line.

**Link: **Video on two-point form

**Description:** These web links contain videos on the applications of straight lines in commerce and economics.

**Core Concepts: **Application of straight lines in commerce and economics.

**Links: **

**14. The Circle and Its Theorem**

**Description:** This web link provides a video on the definition of circle.

**Core Concepts: **Definition of circle.

**Link: **Video on definition of circle

**Description:** This web link contains a video on the concepts of a circle.

**Core Concepts: **Concept of circle.

**Link: **Video on the concept of circle

**Description:** This web link contains a video on the derivation of the equation of a circle.

**Core Concepts: **The equation of a circle.

**Link: **Video on the equation of a circle

**Description:** This web link contains a video on the equation of a circle in centre-radius form.

**Core Concepts: **The equation of a circle in centre-radius form.

**Link: **Video on the equation of circle in centre-radius form

**Description:** This web link contains a video on the equation of a circle in its diameter form.

**Core Concepts: **The equation of a circle in its diameter form.

**Link: **Video on the equation of circle in diameter form

**Description:** This web link contains a video on determining the centre and radius of a circle from a given equation.

**Core Concepts: **Determining centre and radius of a circle.

**Link: **Video on determining centre and radius

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: a straight line drawn from the centre of a circle to bisect a chord is perpendicular to the chord.

**Core Concepts: **Theorem on Chords of a Circle.

**Link: **Geogebra diagram of Theorem 1

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: A straight line, drawn from the centre of a circle perpendicular to a chord, bisects the chord.

**Core Concepts: **Theorem on Chords of a Circle.

**Link: **Geogebra diagram of Theorem 2

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: One and only one circle can be drawn through three points not lying in the same straight line.

**Core Concepts: **Theorem on Chords of a Circle.

**Link: **Geogebra diagram of Theorem 3

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: Equal chords of a circle are equidistant from the centre; Chords of a circle that are equidistant from the centre are equal.

**Core Concepts: **Theorem on Chords of a Circle.

**Link: **Geogebra diagram of Theorem 4 & 5

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: The angle subtended at the centre by an arc of a circle is double the angle which these subtends at any remaining part of the circumference.

**Core Concepts: **Theorems on Arcs and Angles.

**Link: **Geogebra diagram of Theorem 6 **Description:**The web link contains an interactive GeoGebra diagram on the chords of a circle: In a circle the angle in a semicircle is a right angle.

**Core Concepts: **Theorems on Arcs and Angles.

**Link: **Geogebra diagram of Theorem 7

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: Angles in the same segment of a circle are equal.

**Core Concepts: **Theorems on Arcs and Angles.

**Link: **Geogebra diagram of Theorem 8

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: The opposite angles of a cyclic quadrilateral are supplementary.

**Core Concepts: **Theorem on Chords of a Circle.

**Link: **Geogebra diagram of Theorem 9

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: If a side of a cyclic quadrilateral is produced, the exterior angle so formed is equal to the interior opposite angle.

**Core Concepts: **Theorem on Chords of a Circle.

**Link: **Geogebra diagram of Theorem 10

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: The tangent at any point of a circle and the radius through this point are perpendicular to each other.

**Core Concepts: **Theorem on Tangent Lines and Circles.

**Link: **Geogebra diagram of Theorem 15

**Description:** The web link contains an interactive GeoGebra diagram on the chords of a circle: If two circles touch each other, the point of contact lies on the straight line joining the centres of two circles.

**Core Concepts: **Theorem on Tangent Lines and Circles.

**15. Measures of Central Tendency**

**Description:** This web link leads to a web page introducing the concept of central tendencies.

**Core Concepts: **Introduction of central tendencies.

**Link: **Web page on the introduction of central tendencies

**Description:** This web link leads to a web page discussing the utility and scope of central tendencies.

**Core Concepts: **Utility and scope of central tendencies.

**Link: **Web page on the utility and scope of central tendencies

**Description:** These web links contain the videos on the meaning of central tendencies.

**Core Concepts: **Concept of central tendencies.

**Links: **

**Description:** This web link leads to a video on finding the mean using the shortcut method.

**Core Concepts: **Finding mean of a data by shortcut method.

**Link: **Video on Mean by Shortcut method

**Description:** This web link contains a video on how to find the mean using the step-deviation method.

**Core Concepts: **Finding mean of a data by step-deviation method.

**Link: **Video on Mean by Step-Deviation method

**Description:** This web link contains a video on finding the central tendencies of simple distribution data.

**Core Concepts: **Central tendencies of simple distribution.

**Link: **Video on central tendencies of simple distribution

**Description:** This web link contains a video on finding the central tendencies of discrete data.

**Core Concepts: **Central tendencies of discrete data.

**Link: **Video on central tendencies of discrete data

**Description:** This web link contains a video on finding the central tendencies of a grouped data.

**Core Concepts: **Central tendencies of grouped data.

**Link: **Video on central tendencies of grouped data

**Description:** This web link contains a video on finding the mode of a grouped data.

**Core Concepts: **Finding the mode of a grouped data.

**16. Dispersion**

**Description:** This web link contains a video on measuring the dispersion of data using standard deviation.

**Core Concepts: **Measuring the dispersion of data using standard deviation.

**Link: **Video on the standard deviation and variance

**Description:** This web link contains a video on finding the combined mean.

**Core Concepts: **Finding combined mean.

**Links: **

**17. Probability**

**Description:** This web link leads to a web page detailing the history of probability.

**Core Concepts: **Introduction and history of probability.

**Link: **Web page on the history of probability

**Description:** This web link contains a web page detailing the utility and scope of probability.

**Core Concepts: **Utility and scope of probability.

**Link: **Web page on Utility and Scope of Probability

**Description:** This web link contains a video on the introduction of probability.

**Core Concepts: **Probability concepts.

**Link: **Video on probability concept

**Description:** These web links contain the videos on set theory concepts.

**Core Concepts: **Set theory.

**Links: **

**Description:** This web link provides a video on the probability of complementary events.

**Core Concepts: **Probability of complementary events.

**Link: **Video on the probability of complementary events

**Description:** This web link contains a video on the odds vs probability.

**Core Concepts: **Odds and Probability

**Link: **Video on odds and probability

**Description:** This web link contains a web page with interactive questions on probability.

**Core Concepts: **Interactive Probability questions

**Link: **Web page on probability questions

**Description: **These web links contain videos on the “addition rule” of probability.

**Core Concepts: **Addition rule of probability.

**Links: **

- Video on Addition Rule of Probability 1
- Video on Addition Rule of Probability 2
- Video on Addition Rule of Probability 3

**Description:** This web link leads to a web page with some probability questions.

**Core Concepts: **Application of addition rule in probability.

**Link: **Quiz on probability

**Description: **These web links contain videos on the “multiplication rule” of probability.

**Core Concepts: **Multiplication rule of probability.

**Links: **

- Video on multiplication rule of probability 1
- Video on multiplication rule of probability 2
- Video on multiplication rule of probability 3

**Description:** This web link contains a PDF file with questions on the application of the multiplication rule in probability.

**Core Concepts: **Application of multiplication rule in probability.