1. Determinants
Description: This web link contains a research paper on Short History on Determinant of a Matrix by Babarinsa Olayiwola.
Core Concepts: Short History of Determinant of a Matrix.
Link: PDF of Research paper on Short History on Determinant of a Matrix
Description: This web link contains the importance of learning determinants, the utility and scope of learning determinants.
Core Concepts: Scope of Determinants.
Link: Webpage on Determinant with FAQ to scopes of Learning
Description: The web link contains a video explaining the symbol of the determinant of a matrix, applications of the determinant of a matrix and only square matrices have a determinant.
Core Concepts: Concepts on Determinants.
Link: Video on Concepts on Determinants
Description: This web link to the video contains calculating determinants of order 2 explaining the solving procedures, its steps and methods.
Core Concepts: Determinants of Order 2.
Link: Video on Determinants of Order 2
Description: This web link to the video of the determinant of a 3x3 matrix, how to find the determinant of a matrix and steps to find the determinant of a 3x3 matrix.
Core Concepts: Determinants of Order 3.
Link: Video on Determinants of Order 3
Description: This web link to the video explains finding minor and cofactor determinants, the difference between minor and cofactor.
Core Concepts: Minor and cofactor of determinants .
Link: Video on Minor and cofactor of determinants
Description: These web links explain how to solve a system of equations in two variables using Cramer's rule.
Core Concepts: Solving a system of equations using Cramer’s rule for two variables.
Links:
- Video on Applying Cramer's rules for two variables 1
- Video on Applying Cramer's rules for two variables 2
Description: This web link explains how to solve a system of equations in three variables using Cramer's rule.
Core Concepts: Solving a system of equations using Cramer’s rule for three variables.
Link: Video on applying Cramer's rules for three variables
Description: This link is the sharing of the flow chart on the condition of consistency, its procedures and steps.
Core Concepts: Conditions of consistency.
Link: Flow chart of Condition of consistency
Description: This web link to the video shares the application of determinants in the area of polygons.
Core Concepts: Finding the area of a triangle.
2. Logarithms
Description: This web link to the video explains how they invented logarithms.
Core Concepts: Introduction on logarithm.
Link: Video on how Logarithms was invented
Description: This web link to the web page contains the applications of Logarithms.
Core Concepts: Applications of Logarithms.
Link: Web page on applications of logarithms
Description: This web link to the web page contains a quiz on powers and exponents exploration on exponents laws and their relation with the logarithm.
Core Concepts: Logarithm and exponents laws.
Link: We page quiz on powers and exponents
Description: This web link to videos contains the definition of a logarithm and how to convert between exponential notation and logarithmic notation.
Core Concepts: Logarithm - Definition and conversion.
Link: Video on the definition of logarithm
Description: This web link to the web page contains the differences between logarithms and natural logarithms with examples.
Core Concepts: Difference between Logarithms and Natural logarithms.
Link: Web page on the difference between logarithms and natural logarithms
Description: This web link to the video contains logarithms - changing of base.
Core Concepts: Logarithms - Change of base.
Links:
Description: This web link to the video contains properties of logarithms: Power rule, Quotient rule and the product with examples.
Core Concepts: Difference between Logarithms and Natural logarithms.
Link: Video on Laws of logarithms
Description: These web links to the videos contain the proof of the properties of logarithms and its importance in calculating the logarithm functions.
Core Concepts: Properties of logarithms.
Links:
- Video on proof of product and quotient rule of log
- Video of practising questions on logarithmic properties
Description: This web link to the video contains the use of logarithms in a real-life situation.
Core Concepts: Application of logarithms.
Link: Video on real-life application of logarithms
Description: This web link to the video contains an exponential decay word problem as an example of the use of logarithms in real-life situations.
Core Concepts: Application of logarithms - exponential decay.
3. Complex Numbers
Description: This web link to the web page contains an Introduction and a brief history of complex numbers.
Core Concepts: Introduction to complex numbers.
Link: Web page on an introduction and brief history of a complex number
Description: These web links to the videos contain the Backstory of complex numbers.
Core Concepts: Introduction to complex numbers.
Links:
Description: This web link to the web page contains complex numbers and their applications.
Core Concepts: Complex numbers and their application.
Link: Video on complex numbers and their application
Description: This web link to the video contains the introduction to imaginary numbers, explaining how they differ from real numbers and why there was a need to discover them.
Core Concepts: Introduction to imaginary numbers.
Link: Video on introduction to imaginary number
Description: This web link to the video contains the operating powers of imaginary numbers.
Core Concepts: Operating powers of i (imaginary number).
Link: Video on calculating powers of i
Description: This web link to the web page contains the concept of complex numbers with examples and procedures for solving real and complex numbers.
Core Concepts: Concept of complex numbers.
Link: Web page on Concepts of real and complex numbers
Description: This web link to the web page contains the concept of complex numbers with general definitions and operations.
Core Concepts: Real and complex numbers.
Link: Web page on concepts of real and complex numbers
Description: This web link to the video contains the conjugate of complex numbers and its operation.
Core Concepts: Conjugate of complex numbers.
Link: Video on conjugate of complex numbers
Description: his web link to the web page contains the summary sheet of understanding the complex numbers with worksheets.
Core Concepts: Worksheets on complex numbers.
Link: Web page on the worksheet of complex numbers
Description: This web link to the web page represents the complex numbers in an argand plane including how to find coordinates from complex numbers and how to plot coordinates in a complex plane.
Core Concepts: Complex numbers in the argand plane.
Link: Web page on complex numbers in Argand plane
Description: This web link to the video contains the operation of complex numbers.
Core Concepts: Operation of complex numbers.
Link: Video on Operations of complex numbers
Description: This web link to the video contains solving equations of complex numbers.
Core Concepts: Solving equations of complex numbers.
4. Binomial Theorem
Description: This web link to the web page contains a brief introduction and history of the binomial theorem.
Core Concepts: Introduction to the binomial theorem.
Link: Web page on introduction to the binomial theorem
Description: This web link to the web page contains a how binomial theorem can be applied in real-life.
Core Concepts: Scope on binomial theorem.
Link: Web page on how binomial theorem can be applied in real-life
Description: These web links to the videos contain the binomial theorem, its definition, the examples and procedures for the solution.
Core Concepts: Introduction to the binomial theorem.
Links:
Description: This web link to the video contains Pascal triangle concepts to enhance the concepts on the binomial theorem .
Core Concepts: Pascal's triangle and binomial theorem .
Link: Video of Pascal's Triangle
Description: This web link to the video contains the properties of the binomial theorem and how the properties are important in solving the binomial theorem.
Core Concepts: Properties on binomial theorem.
Link: Video on properties of binomial theorem
Description: This web link to the video contains a general term of binomial expansion.
Core Concepts: The general term of binomial expansion.
Link: Video on general term of binomial expansion
Description: This web link to the video contains an independent term for binomial expansion.
Core Concepts: Independence term of binomial expansion.
Link: Video on finding independence term of x
Description: This web link to the video contains findings of the middle term with examples.
Core Concepts: The middle term of binomial expansion.
Link: Video on finding the middle-term
Description: This web link to the video contains finding a coefficient of a particular power of x with the steps and procedures given from the link.
Core Concepts: Finding the coefficient of a particular power of x.
Links:
- Video on the coefficient of a particular power of x 1
- Video on the coefficient of a particular power of x 2
Description: This web link to the web page contains quiz questions on binomial theorem.
Core Concepts: Quiz questions on binomial theorem.
Link: Web page on quiz on binomial theorem
Description: This web link to the video contains the use of binomial theorem in a real-life situation.
Core Concepts: Application of the binomial theorem.
5. Sequences and Series
Description: This web link links to a presentation on a brief introduction to sequences and series.
Core Concepts: Introduction to sequences and series.
Link: Presentation on introduction to sequence and series
Description: This web link to the video contains the difference between sequences and series.
Core Concepts: Difference between Sequence and Series.
Link: Video on Sequence and Series
Description: This web link to the video contains derivations of Arithmetic Sequence formulas.
Core Concepts: Derivations of arithmetic Progression Formula.
Link: Video on derivation of arithmetic progression formula
Description: This web link to the Web page which contains arithmetic progression questions with solutions.
Core Concepts: Arithmetic Progression formula.
Link: Web page of practice problems of AP
Description: This link to the Web page contains Arithmetic Progression Practice Problems with solutions and explanations.
Core Concepts: Arithmetic Progression problem examples.
Link: Web page to AP problem examples solved
Description: This web link to the video contains the sum of the first n terms of an Arithmetic Sequence.
Core Concepts: Arithmetic Progression formula - the sum of the nth term.
Link: Video on AP of the sum of the nth term
Description: This web link to the video contains an explanation of the geometric sequence.
Core Concepts: Geometric Progression.
Link: Video on the geometric sequence
Description: This web link to the video contains finding the n term of Geometric Sequence.
Core Concepts: Finding the nth term of GP.
Link: Video on finding the nth term of GP
Description: This web link to the video contains Geometric Series, Sum of the first n terms with proof.
Core Concepts: Proof of sum of first n term of GP.
Link: Video of proof of the sum of first n terms
Description: This web link to the video contains the sum of the first n terms of a geometric sequence.
Core Concepts: The sum of the first n terms of GP.
Link: Video of the sum of first n terms
Description: The web link to the video contains the sum of infinite Geometric Series.
Core Concepts: The sum of infinite GP.
Link: Video of the sum of infinite GP
Description: This web link to the video contains an explanation of the concept of summation notation.
Core Concepts: Summation notation.
Link: Video on summation notation
Description: This web link to the video on the sum of the first n natural numbers.
Core Concepts: The sum of n term of natural numbers.
Link: Video of the sum of n term of natural numbers
Description: This web link to the video contains the sum of the first n squares or square numbers.
Core Concepts: Squares of natural numbers.
Link: Video on the derivation of square natural numbers
Description: This web link to the web page contains the sum of the Cubes of first n natural Numbers.
Core Concepts: Cube of natural numbers.
6. Remainder and Factor Theorem
Description: This web link to the web page contains a brief introduction to the remainder and factor theorem.
Core Concepts: Introduction to remainder and factor theorem.
Link: Web page to introduce remainder and factor theorem
Description: This web link to the web page on utility and scope of remainder and factor theorem.
Core Concepts: Utility and scope on remainder and factor theorem.
Link: Web page on application and scope
Description: This web link to the video contains the relation between the remainder and factor theorem with the example and solution.
Core Concepts: Remainder and factor theorem.
Link: Video on remainder and factor theorem
Description: This web link to the web page contains the remainder theorem practise questions with solution.
Core Concepts: Remainder theorem Practice questions.
Link: Web page containing remainder theorem practice questions
Description: This web link to the web page contains the application of factors in real-life.
Core Concepts: Application of factors in real-life.
Link: Web page on the application of factors in real-life
Description: This web link contains a PDF worksheet on remainder and factor theorem.
Core Concepts: Worksheet for remainder and factor theorem.
7. Quadratic Equation
Description: This web link to the web page contains a research paper on the brief history and introduction of the quadratic equations.
Core Concepts: Introduction to a quadratic equation.
Link: PDF of Research paper on Quadratic equations
Description: This web link to the video contains a brief history and introduction to the quadratic equations.
Core Concepts: History of quadratic equation.
Link: Video on the history of quadratic equation
Description: This web link to the video contains the application of quadratic equation.
Core Concepts: Application of quadratic equation.
Link: Video on application of quadratic equation
Description: This web link to the video contains everyday use of quadratic equations.
Core Concepts: Every day use of quadratic equation.
Link: Video on Quadratic equations in everyday life
Description: This web link to the video contains how quadratic equations are used in real-life.
Core Concepts: Utility and scope of quadratic equation.
Link: Video on how quadratic equations are used in real-life
Description: This web link to the web page has the worksheet on quadratic function.
Core Concepts: Worksheet on quadratic equation.
Link: Web page quadratic equations sample worksheets
Description: This web link to the video contains solving quadratic equations using the formula.
Core Concepts: Solving quadratic equations using formula.
Link: Video on solving quadratic equations using the formula
Description: This web link to the video contains the nature of roots and the discriminant.
Core Concepts: Nature of roots.
Link: Video of Discriminant and nature of roots
Description: This web link to the web page provides the worksheet on solving the nature of roots.
Core Concepts: Worksheet on the nature of roots.
Link: Web page of worksheet on discriminant and Nature of roots
Description:These web links to the videos contain solving quadratic inequalities.
Core Concepts: Quadratic in-equalitites .
Links:
Description: This web link to the video contains graphing the quadratic inequality, its methods and strategies.
Core Concepts: Graphing inequality graph.
Link: Video on graphing inequality
Description: This web link to the web page provides the worksheet related to quadratic inequalities.
Core Concepts: Quadratic inequalities.
Link: Web page worksheets on quadratic inequalities
Description: This web link to web page contains the application of partial fractions in real-life.
Core Concepts: Utility and scope on partial fraction.
Link: Web page on the application in real-life
Description: This web link to the video contains an introduction to partial fractions.
Core Concepts: Introduction to partial fraction.
Link: Video on introduction to partial fraction
Description: This web link to the video contains non-repeated linear factors, its solution and procedures are explained.
Core Concepts: Non-repeated linear factors.
Link: Video on non-repeated linear factors
Description: This web link to the video contains repeated linear factors, and its solution and procedures are explained.
Core Concepts: Repeated linear factors.
Link: Video on repeated linear factors
Description: This web link to the video contains quadratic linear factors, its solution and procedures are explained.
Core Concepts: Quadratic linear factors.
Link: Video on quadratic factors
Description: This web link to the video contains improper fractions with non-repeated linear factors, its solution and procedures are explained.
Core Concepts: Improper fractions with non-repeated linear factors.
Link: Video on partial fraction on improper fractions
Description: This web link to the web page contains worksheets on partial fraction.
Core Concepts: Partial fractions question.
8. Functions
Description: This web link to the web page contains a brief introduction and history of the functions.
Core Concepts: Introduction on functions.
Link: Web page on History of functions
Description: This web link to the video contains definitions, meanings, types and examples of functions.
Core Concepts: Introduction to functions and types of functions.
Link: Video on introduction to function and types of functions
Description: This web link to the video contains a vertical line test for functions.
Core Concepts: Testing for functions.
Link: Video on vertical line test of function
Description: This web link to the video contains definitions of functions using mapping notations.
Core Concepts: Mapping notation of functions.
Link: Video on mapping notation and functions
Description: This web link to the web page contains a quiz on functions.
Core Concepts: Functions.
Link: Web page on the quiz for function
Description: This web link to the video contains concepts regarding piecewise function, its meaning and examples .
Core Concepts: Piecewise functions.
Link: Video on piecewise function
Description: This web link to the video contains finding the value of functions. The methods, examples and a few solutions.
Core Concepts: Function notation.
Link: Video on introduction function notation
Description: This web link to the video contains the types and classification of functions.
Core Concepts: Classification functions.
Link: Video on types of functions and their graphs
Description: This web link to the video contains an explanation of identity functions.
Core Concepts: Identity functions.
Link: Video on identity function
Description: This web link to the video contains an explanation of the modulus function.
Core Concepts: Modulus Functions.
Link: Video on modulus of functions
Description: This web link to the video contains the greatest integer function.
Core Concepts: Greatest integer functions.
Link: Video on greatest integer functions
Description: This web link to the video contains the concept of even and odd functions with examples.
Core Concepts: Even and odd functions.
Link: Video on even and odd functions
Description: This web link to the video lesson contains the inverse function.
Core Concepts: Inverse functions.
Link: Video on the inverse function
Description: This web link to the web page contains the explanation and example of operations on functions.
Core Concepts: Operation of functions.
Link: Web page on the operation of the function
Description: These web links to the videos contain the differences between domain, co-domain and range of functions.
Core Concepts: Function - Domains and range.
Links:
Description: This web link to the video contains how to find the domain for the function.
Core Concepts: Domain of functions.
Link: Video of how to find the domain
Description: This web link to the video contains the range of the function.
Core Concepts: Range of the function.
Link: Video on the range of the function
Description: This web link contains worksheet on the domain and a range of functions.
Core Concepts: Worksheet on Domain and range of functions.
9. Limits
Description: This web page link contains a brief introduction and history of the limits.
Core Concepts: Introduction on Limits.
Link: Web page on the history of limits
Description: This web link to the video contains the explanation that x tends to a limit.
Core Concepts: Concepts on Limits.
Link: Video on meaning x tends to a limit
Description: This web link to the video contains right-hand and left-hand limits.
Core Concepts: Right and Left Hand Limits.
Link: Video on right-hand and left-hand limit
Description: These web links to the videos contain checking of the existence of limits with proof.
Core Concepts: Existence of Limits.
Links:
Description: This web link to the video contains the theorem of limits.
Core Concepts: Theorem of Limits.
Link: Web page on two limit theorems
Description: This web link contains limits by direct substitutions.
Core Concepts: Limits by direct substitution.
Link: Video on limits by direct substitution methods
Description: This web link to the video contains the limits and factors.
Core Concepts: Limit and factorization.
Link: Video on limits and factors
Description: This web link to the video contains the limits by direct rationalisation methods.
Core Concepts: Limits by rationalisation methods.
Link: Video on solving limits by rationalization
Description: This web link to the video contains the limits by expansion.
Core Concepts: Limits by expansion methods.
Link: Video on solving limits by expansion
Description: This web link to the video contains an infinity of limits.
Core Concepts: Infinity of limits.
Link: Video on finding limits at infinity
Description: This web link to the video contains the limits of trigonometric functions.
Core Concepts: Trigonometry limits.
Link: Videos of limits of trigonometric function
Description: These web links to web pages and videos contain definitions and explanations of the continuity of the functions.
Core Concepts: Continuity of the functions.
Links:
10. Differentiation
Description: These web links to the video contain the history of calculus.
Core Concepts: Introduction to calculus.
Links:
- Video on the history of Calculus 1
- Video on the history of Calculus 2
- Video on calculus in the ancient world
- Video on historical motivation in calculus
Description: This web link to the web page contains the application on derivatives.
Core Concepts: Utility and scope.
Link: Web page on the application of derivatives
Description: These web links to the videos contain the derivatives of functions .
Core Concepts: Derivatives of function.
Description: This web link contains an introduction to the derivatives using the Geogebra.
Core Concepts: Geometrical interpretation of differentiation.
Link: Geogebra - introduction to derivatives
Description: This web link to the video contains the derivatives of functions using the general method.
Core Concepts: Differentiation of polynomial function.
Link: Video of derivatives using general method
Description: These web links to the videos contain the differentiation of the functions using the product rule.
Core Concepts: Derivative using product rule.
Description: This web link to videos contains the derivatives of functions using the quotient rule.
Core Concepts: Derivative using quotient rule.
Link: Video of derivatives of functions by quotient rule
Description: This web link to the video contains the differentiation of trigonometric function.
Core Concepts: Differentiation of trigonometric functions.
Link: Video of derivatives of trigonometric functions
Description: This web link to the video contains the application of derivatives like finding equations of tangent and normal, rate measures, etc.
Core Concepts: Application derivatives.
11. Integration
Description: This web link to a PDF containing a brief introduction and history of integral calculus.
Core Concepts: Introduction of integration.
Link: PDF on the history of integration
Description: This web page link contains the application of integration in real-life.
Core Concepts: Utility and scope of integration.
Link: Web page on the application of integration
Description: This web link to the video contains the definition of integration, the differences between differentiation and integration.
Core Concepts: Introduction of integration.
Link: Video on integration as an inverse process of derivatives
Description: This web link to the video contains the integration constant explaining what and why + C.
Core Concepts: Introduction of integration and its constant.
Link: Video of constant of integration; what and why
Description: This web link to the video contains a basic standard form of integration with examples.
Core Concepts: Standard of integration.
Link: Video on basic integration formulas and examples
Description: This web link to the video contains the basic integration rules.
Core Concepts: Basic integration rules.
Link: Video of basic integration rules
Description: This web link to the video contains integration of trigonometric function.
Core Concepts: Integrating trigonometric functions.
Link: Video on integrating trigonometric function
Description: These web links to the videos and a web page contain concepts and elaboration on the integration by substitution.
Core Concepts: Integration by substitution methods.
Links:
12. Trigonometry
Description: This web link to the video contains the history and importance of trigonometry.
Core Concepts: Introduction to trigonometric function.
Link: Video on the history of trigonometry and its importance
Description: This web page link contains the importance of learning trigonometric functions, their scope and utility in real-life situations.
Core Concepts: Utility and scope of trigonometric functions.
Link: Web page on the application of trigonometry
Description: This web link to the video contains the trigonometric sum and difference identities.
Core Concepts: Trigonometric identities.
Link: Video on trigonometric sum and difference identities
Description: These web links to the videos contain derivatives of sum and difference formulas and their examples.
Core Concepts: Addition and subtraction formula.
Links:
- Video on the derivation of sum and difference formula
- Video on sum and difference identities problems solving
Description: This web link to the video contains a derivation of the product formula.
Core Concepts: Product formula.
Link: Video on sum or difference formula to product formula.
Description: This web link to the video contains problems based on the transformation formula.
Core Concepts: Transformation formula.
Link: Video on problems based on transformation formula.
Description: These web links to the videos contain practice questions on transformation formulas to product rules from sum or difference identities.
Core Concepts: Transformation formula and its derivations.
Links:
- Video on the formula to transform the sum or difference to the product formula
- Video on practice question on the transformation of formula
Description: These web links to the videos contain derivation of the double and half angle formula supported by examples..
Core Concepts: Double and half angle formula .
Links:
Description: This web link to web pages shares the practice question on the double and half-angle formula.
Core Concepts: Double and half angle formula .
Link: Web page on double and half - and half-angle practice questions
Description: These web links to videos contain derivations and solving of problems using the triple angle formula.
Core Concepts: Triple angled formula.
Links:
Description: This web page link contains practice questions on compound angle formula.
Core Concepts: Compound angle formula.
Link: Web page on practice questions using the compound angles
13. Points and their Coordinates in Two-Dimension
Description: This web page contains about eh coordinate geometry focusing on its introduction including a brief introduction on the points and their coordinates in two-dimension.
Core Concepts: Coordinate Geometry: An introduction.
Link: Web page to Coordinate Geometry: An introduction
Description: This web page contains some examples of geometry in everyday life.
Core Concepts: Utility and scope of points and their coordinates in two-dimension.
Link: Web page showing examples of geometry in everyday life
Description: This web link to the video contains what the Cartesian Coordinate system is.
Core Concepts: Cartesian coordinates system.
Link: Video on Cartesian Coordinate System
Description: This web link to the video contains what the cartesian coordinate plane is..
Core Concepts: Cartesian coordinate plane.
Link: Video on Cartesian Coordinate Plane
Description: This web link to the video contains the derivation of the distance formula.
Core Concepts: Distance between two points.
Link: Video on distance formula derivation
Description: This web link to the video explains the concept of division and the derivation of the section formula of internal division.
Core Concepts: Section formula: internal.
Link: Video on Section Formula Derivation
Description: This web link to the video explains the derivation of the section formula of external division.
Core Concepts: Section formula: external.
Link: Video on derivation of section formula for external division
Description: This web link to the video explains the deviations of the formula for the centroid formula of the triangle.
Core Concepts: Centroid and incentre of the triangle.
Link: Video of the derivation of the centroid formula of a triangle
Description: This web link to the video explains how to find the slope for the straight lines.
Core Concepts: The slope of straight lines.
Link: Video on how to find the slope
Description: This web link to the video contains findings of the angle between lines.
Core Concepts: Angle between lines.
Link: Video on the angle between two lines
Description: This web link to the video explains the conditions of parallelism and perpendicularity.
Core Concepts: Condition of parallelism and perpendicularity.
Link: Video on the slope of parallel and perpendicular lines
14. Logarithm
Description: The video link contains evaluating logarithm.
Core Concepts: 11P-A2 Evaluating logarithm.
15. The straight Line
Description: The web page contains a PDF to straight lines.
Core Concepts: Introduction to straight lines.
Link: PDF on straight lines with examples
Description: This web page contains the application of straight lines in real-life .
Core Concepts: Utility and scope of straight lines.
Link: Web page on the application of straight lines.
Description: This web link to the video explains the slope-intercept form of a straight line.
Core Concepts: Slope intercepts form.
Link: Video on slope intercept form
Description: The web link to the video contains a point-slope form of straight lines.
Core Concepts: Point slope form.
Link: Video of point-slope form
Description: This web link to the video contains a two-point form of straight lines.
Core Concepts: Two point form.
Link: Video on two-point form
Description: This web link to the video contains the normal form equations of straight lines.
Core Concepts: The normal form of the equations.
Link: Video on the normal form
Description: This web link to the video contains the derivation of intercepts form.
Core Concepts: Intercept form.
Link: Video on derivation of intercept form
Description: This web link to the video contains finding of the distance of a point from a line.
Core Concepts: Distance formula.
Link: Video on finding the distance of a point from a line
Description: This web link to the video contains the finding of the distance between two parallel lines.
Core Concepts: Distance formula.
Link: Video on the distance between parallel lines
Description: This web link to the video contains the application of straight lines in the different fields.
Core Concepts: Application of straight lines.
16. The Circle and Its Theorem
Description: This web link provides a video on the definition of a circle.
Core Concepts: Definition of circle.
Link: Video on the definition of a circle
Description: This web link contains a video on the concept of a circle.
Core Concepts: Concept of circle.
Link: Video on the concept of 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 a 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 a 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 the 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: Theorem on Chords of a Circle.
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: Theorem on Chords of a Circle.
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: Theorem on Chords of a Circle.
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.
17. 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 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 the mean of 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 the 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 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 grouped data.
Core Concepts: Finding the mode of grouped data.
18. 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:
19. 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 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..
