 Do you know? A traditional industrial application of Circular Measure includes robots with limited mobility. Architects often use the circle’s symmetrical properties when designing athletic tracks, recreational parks, buildings, roundabouts, Ferris-wheels, etc. Artists and painters find the circle almost indispensable in their work. Circular cylinders are used to print newspapers. Engineers exploit the circle’s symmetrical properties as seen by the use of the circle in making watches, clocks, bicycles, cars, trains, ships, airplanes, radios, telephones, trolleys, wheel-barrows, air-conditioners, rockets etc. Civilization has progressed dramatically because of the invention of the circular wheel…  * Presentation – Complete video for teachers and learners on Circular Measure.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Circular Measure Question  * Learner will be able to say authoritatively that I can complete:  Any circular measure question.  Any circular measure question involving length of an arc, length of chord and other circle properties.  Any circular measure question involving area, perimeter and other derived quantities.

 Do you know? Polynomials have relevance to nearly all the sciences. Astrophysicists use them to calculate a star’s velocity and distance from another object in space. Likewise, they are important in determining pressure in applications of fluid dynamics.  Nursing, psychiatric and home-health aides use polynomials to determine schedules and keep records of patient progress.  Cost, Revenue, and Profit Polynomials.  Write a profit polynomial given revenue and cost polynomials. Find profit for given quantities produced.  * Presentation – Complete video for teachers and learners on Factors and Polynomials.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Factors and Polynomials  * Learner will be able to say authoritatively that I can:  Complete any polynomial question involving factor theorem.  Complete any polynomial question involving cubic expressions and equations.  Complete any polynomial question involving the remainder theorem.  Complete any polynomial question involving the four basic operators (+, -, /, ×).  I can apply polynomials functions to real life situations.

 Do you know? Polynomials have relevance to nearly all the sciences. Astrophysicists use them to calculate a star’s velocity and distance from another object in space. Likewise, they are important in determining pressure in applications of fluid dynamics.  Nursing, psychiatric and home-health aides use polynomials to determine schedules and keep records of patient progress.  Cost, Revenue, and Profit Polynomials.  Write a profit polynomial given revenue and cost polynomials. Find profit for given quantities produced.  * Presentation – Complete video for teachers and learners on Factors and Polynomials.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Factors and Polynomials  * Learner will be able to say authoritatively that I can:  Complete any polynomial question involving factor theorem.  Complete any polynomial question involving cubic expressions and equations.  Complete any polynomial question involving the remainder theorem.  Complete any polynomial question involving the four basic operators (+, -, /, ×).  I can apply polynomials functions to real life situations.

Do you know? You can liken algebra to an all-purpose tool or a magic wand that can help deal with everyday problems of life. Algebra can help you to measure your living room dimensions and determine the size of an electronic item like TV or refrigerator that’ll fit comfortably in the space. For examples, social inequality include income gap, gender inequality, health care, social class, Wages, Homelessness, Occupational Sex Segregation, and Racial Gaps in Education, Racial Discrimination, Child Poverty, Residential Segregation, and Health Insurance. Presentation – Complete video for teachers and learners on how to complete Quadratic, Inequality, Absolute Graphs and Functions IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Quadratic, Inequality, Absolute Graphs and Functions Topic based Questions Learner will be able to say authoritatively that: I can determine the roots of quadratic and modulus functions from its standard form I can graph quadratic functions in standard form I can graph quadratic functions in vertex form (using basic transformations). I can identify key characteristics on how to determine the nature of any given modulus inequalities and quadratic functions.

Do you know? You can liken algebra to an all-purpose tool or a magic wand that can help deal with everyday problems of life. Algebra can help you to measure your living room dimensions and determine the size of an electronic item like TV or refrigerator that’ll fit comfortably in the space. For examples, social inequality include income gap, gender inequality, health care, social class, Wages, Homelessness, Occupational Sex Segregation, and Racial Gaps in Education, Racial Discrimination, Child Poverty, Residential Segregation, and Health Insurance. Presentation – Complete video for teachers and learners on how to complete Quadratic, Inequality and Absolute Graph Functions. IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Quadratic, Inequality and Absolute Graph Functions Topic based Questions Learner will be able to say authoritatively that: I can determine the roots of quadratic and modulus functions from its standard form I can graph quadratic functions in standard form I can graph quadratic functions in vertex form (using basic transformations). I can identify key characteristics on how to determine the nature of any given modulus inequalities and quadratic functions.

Do you know? Initially the calculus of physics engines in video games was delegated to detecting collisions between in-game objects (such as player characters, rocks, and dust particles) and enacting appropriate responses. Similarly, Calculus is another important part of programming. Calculus problems show up practically all the time in machine learning. In any machine learning problem, the ultimate goal is to optimize the cost function.  * Presentation – Complete video for teachers and learners on Applications of Calculus.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Applications of Calculus Questions  * Learner will be able to say authoritatively that:  I can complete any question on Area of regions bounded by a line and a curve  I can solve any given question on Small increment and Approximation  I can apply my knowledge of calculus to any given function  I can apply my Calculus knowledge in: coordinate systems; Equations of lines and curves; gradient of parabola, determine the nature of line and curves generally and in any given geometrical questions.

Do you know? Initially the calculus of physics engines in video games was delegated to detecting collisions between in-game objects (such as player characters, rocks, and dust particles) and enacting appropriate responses. Similarly, Calculus is another important part of programming. Calculus problems show up practically all the time in machine learning. In any machine learning problem, the ultimate goal is to optimize the cost function.  * Presentation – Complete video for teachers and learners on Applications of Calculus.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Applications of Calculus Questions  * Learner will be able to say authoritatively that:  I can complete any question on Area of regions bounded by a line and a curve  I can solve any given question on Small increment and Approximation  I can apply my knowledge of calculus to any given function  I can apply my Calculus knowledge in: coordinate systems; Equations of lines and curves; gradient of parabola, determine the nature of line and curves generally and in any given geometrical questions.

 * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Statistics Questions Do you know that Statistics is the mathematical science involving the collection, analysis and interpretation of data? It plays a crucial role in every field of human activity. They are numerically expressed facts to represent and speculate the samples using logical reasoning. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest. Statistics are used behind all the medical study. Statistic help doctors keep track of where the baby should be in his/her mental development. Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results. In biology, it is used in biostatistics, biometrics, which includes investigating medicines, pharmacy, agriculture, fishery, etc. Same way, probability theory is used in physics while estimating a large population; results of thermodynamics use statistical tools. Sociology is also based on the subject of analyzing and interprets data and test hypotheses. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest.

 * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Statistics Questions Do you know that Statistics is the mathematical science involving the collection, analysis and interpretation of data? It plays a crucial role in every field of human activity. They are numerically expressed facts to represent and speculate the samples using logical reasoning. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest. Statistics are used behind all the medical study. Statistic help doctors keep track of where the baby should be in his/her mental development. Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results. In biology, it is used in biostatistics, biometrics, which includes investigating medicines, pharmacy, agriculture, fishery, etc. Same way, probability theory is used in physics while estimating a large population; results of thermodynamics use statistical tools. Sociology is also based on the subject of analyzing and interprets data and test hypotheses. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest.

Do you know? Calculus is used to improve the architecture not only of buildings but also of important infrastructures such as bridges. In Electrical Engineering, Calculus (Integration) is used to determine the exact length of power cable needed to connect two substations, which are miles away from each other Physics Engines, Signal & Image Processing, Computer Vision, Information Theory In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and anti-derivative.  * Presentation – Complete video for teachers and learners on Integration by Part  * IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any Exam Style Integration by Part Questions  * Learner will be able to say authoritatively that:  I can complete any given problem on Integration by part: ranging from ‘O’-Level questions to the PhD level using the LIATE-principle.  LIATE is a guide to help you decide which term to differentiate and which term to integrate. L = Log, I = Inverse Trig, A = Algebraic, T = Trigonometric, E = Exponential. The term closer to E is the term usually integrated and the term closer to L is the term that is usually differentiated.  I can apply my knowledge of calculus to any given function

Do you know? Calculus is used to improve the architecture not only of buildings but also of important infrastructures such as bridges. In Electrical Engineering, Calculus (Integration) is used to determine the exact length of power cable needed to connect two substations, which are miles away from each other Physics Engines, Signal & Image Processing, Computer Vision, Information Theory In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and anti-derivative  * Presentation – Complete video for teachers and learners on Integration by Part  * IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any Exam Style Integration by Part Questions  * Learner will be able to say authoritatively that:  I can complete any given problem on Integration by part: ranging from ‘O’-Level questions to the PhD level using the LIATE-principle.  LIATE is a guide to help you decide which term to differentiate and which term to integrate. L = Log, I = Inverse Trig, A = Algebraic, T = Trigonometric, E = Exponential. The term closer to E is the term usually integrated and the term closer to L is the term that is usually differentiated.  I can apply my knowledge of calculus to any given function

 Do you know that the particular areas that have extensive applications of combinatorics such as permutations and combinations include: communication networks, cryptography and network security; computer architecture; electrical engineering; computational molecular biology; languages both natural and computer; pattern analysis  A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn’t matter).  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Permutations and Combinations Questions  * Learner will be able to: Recognise and distinguish between a permutation case and a combination case Know and use the notation n! (With 0! = 1), and the expressions for permutations and combinations of n items taken r at a time Answer simple problems on arrangement and selection Note: cases with repetition of objects or with objects arranged in a circle, or involving both permutations and combinations, are excluded not applicable in GCSE/IGCSE Combinatorics is used frequently in computer science to obtain formulas and estimates in the analysis of algorithms. A mathematician who studies combinatorics is called a combinatorialist

Do you know that, probability application areas includes: modeling of text and Web data, network traffic modeling, probabilistic analysis of algorithms and graphs, reliability modeling, simulation algorithms, data mining, and speech recognition More so, Probability means the mathematical chance that something might happen and this is used in numerous day- to-day applications, which includes: weather forecasts, Sports Strategies, Insurance Options, Games and Recreational Activities, Making Business. Tree diagrams are a way of showing combinations of two or more events. Each branch is labelled at the end with its outcome and the probability is written alongside the line. Two events are independent if the probability of the first event happening has no impact on the probability of the second event happening.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Probability and Tree Diagrams Questions  * Learner will be able to say authoritatively that, I can complete any question on: Listing All Outcomes. Expected Probability. The AND / OR Rule. Tree Diagrams. Probability from Venn Diagrams.

 * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style trigonometric graphs Questions  * Learner will be able to say authoritatively that:  I can complete any question on how to determine the parameter for a given graph of a trigonometric function  Sketch or complete the graph for any given sine function  Sketch or complete the graph for any given cosine function  Sketch or complete the graph for any given tangent function  Understand the real-life applications of graph of a trigonometric function Why do we need to know what trigonometric graphs look like? • Trigonometric Graphs are used in various applications of mathematics – for example, the oscillating nature can be used to model how a pendulum swings Drawing graphs – trig graphs • As with other graphs, being familiar with the general style of trigonometric graphs will help you sketch them quickly and you can then use them to find values or angles alongside your calculator • All trigonometric graphs follow a pattern – a “starting point” and then “something happens every 90°”.

Do you know? Meteorologist uses Vectors to map out Weather Patterns…. Vectors are primarily used within the programming context of most programming languages and serve as data structure containers. Being a data structure, vectors are used for storing objects and collections of objects in an organized structure. Vectors can be used in softball to measure hits as well as pitches. When a ball is hit to the outfield, it has direction, speed, and distance. The speed and direction of pitches can also be measured using vectors. Presentation – Complete video and Board Work for teachers and learners on Vectors  * GCSE, IGCSE, AP, PSAT Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Vectors Questions  * Learner will be able to say authoritatively that:  I can solve any given question on Vectors Geometry  I can solve any questions involving applications of Vectors properties. https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.youtube.com/feed/my_videos

Do you know? Calculus is used to improve the architecture not only of buildings but also of important infrastructures such as bridges. In Electrical Engineering, Calculus (Integration) is used to determine the exact length of power cable needed to connect two substations, which are miles away from each other… Physics Engines, Signal & Image Processing, Computer Vision, Information Theory.  * Presentation – Complete video for teachers and learners on Applications of Calculus: Rate of Change Turning Points, Quadratic & Cubic Graphs.  * IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Applications of Calculus Questions  * Learner will be able to say authoritatively that:  I can complete any question on Rate of Change  I can solve any given question on Applications of Calculus in Quadratic Function  I can solve any given question on Applications of Calculus in Cubic Function  I can apply my knowledge of calculus in any given function  I can apply my Calculus knowledge in: coordinate systems; Equations of lines and curves; gradient of parabola, determine the nature of line and curves generally and in any given geometrical questions.  To access more Maths, ICT and videos on Robotic and Coding:  https://www.youtube.com/feed/my_videos  https://www.tes.com/teaching-resources/shop/alukosayoenoch : For Free Resources, videos, Board Works and code blocks

 Do you know? The computer imaging, something that is used nowadays for creating animations, video games, designing, and stuff like that, are created using geometric concepts. Also, geometry is used in mapping. Mapping is an essential element in professions such as surveying, navigation, and astronomy.  * Presentation – Complete video for teachers and learners on Similarity  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Similarity and Congruency Questions  * Learner will be able to say authoritatively that:  I can solve any Mathematical problem involving Congruent Shapes  I can solve any Mathematical problem involving Similar Shapes  I can apply similarity to model a real life situation and the various field of study: Engineering, Art and Design, Construction, etc…  I can solve any given question on Combined Similarity: Volume, Area, Standard Dimensions…  I can find the scale factor given any object or image parameter  I can use a given scale model to find unknown parameter of any similar shape and also apply the concepts in all field of studies: Construction, Cryptographer, Actuary, Astronomy, Physical Science, Biological Science, Astrophysics, etc….

 * Presentation – Complete video for teachers and learners on Matrices and Determinant: Applications to solving system of Linear Equations in two (2) VARIABLES.  * IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Matrices and Determinant Questions  * Learner will be able to say authoritatively that:  I can complete representation of data using matrix  I can solve any given question on addition, subtraction and multiplications of Matrices  I can solve questions involving scalar multiplication of Matrices  I can solve questions involving unit (identity) Matrix and zero (null Matrix)  I can solve questions involving Determinant and Inverse of non-singular 2 × 2 matrices  I can solve any given system of linear equation in two (2) variables using either matrices or Determinant.  In computer graphics, matrices are used for the operations such as translations, rotations, scaling and more. These concepts appear in video game graphics. … Some of the basic and advanced matrix transformations are used in video games. Understanding of matrices is a basic necessity for programming 3-D video games.  In Cryptography, the key matrix is used to encrypt the messages, and its inverse is used to decrypt the encoded messages.  To access more Maths, ICT and videos on Robotic and Coding:  https://www.youtube.com/feed/my_videos  https://www.tes.com/teaching-resources/shop/alukosayoenoch : For Free Resources, videos, Board Works and code blocks

 * Presentation – Complete video and Worksheet for teachers and learners on Transformation Matrix: Applications and Describing Reflection, Enlargement and Rotation  * IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Transformation Questions  * Learner will be able to say authoritatively that:  I can solve any given question involving describing transformation matrix  I can apply transformation matrix to produce the image from any given 2-D object  I can solve any given question on describing Transformation.  I can solve any given question on Combined and Repeated Transformation  Graphic software uses matrix mathematics to process linear transformations to render images. In robotics, Homogeneous Transformation Matrices (HTM) have been used as a tool for describing both the position and orientation of an object and, in particular, of a robot or a robot component. Engineers use matrices to model physical systems and perform accurate calculations needed for complex mechanics to work. Electronics networks, airplane and spacecraft, and in chemical engineering all require perfectly calibrated computations which are obtained from matrix transformations

 * Presentation – Complete Board Work and video for teachers and learners on Numbers and Systems  * Checkpoint Primary and Secondary / GCSE / IGCSE/ SAT/ PSAT/ AP/ AISL Practice Revision Exercise which covers all the related concepts required for students to unravel any Checkpoint Exam Style Number Systems Questions  The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9. In decimal number system, the successive positions to the left of the decimal point represent units, tens, hundreds, thousands, and so on.* Learner will be able to say authoritatively that I can solve any problem involving:  Use Numbers in Practical Situations  The Decimal Number System  Terminating and Recurring Decimals  Changing Recurring Numbers to Fraction  Rational and Irrational Numbers  Types of Numbers (Natural , Whole , Integer , Rational , Irrational , Cube , Square , Prime , Composite etc) Number Systems is crucial for understanding the processing of digital system. Digital system takes binary, octal & hexadecimal number as input and process it and generates output. The most common application for the binary number system can be found in computer technology. All computer language and programming is based on the 2-digit number system used in digital encoding. Digital encoding is the process of taking data and representing it with discreet bits of information.