Functions Part2

Do you know? Functions are everywhere where technology is, literally. But since the world is now crazy about machine learning, let me mention this one: machine learning is all about learning a function. For instance: 1. mapping images to the names of the people on the images, 2. mapping digital songs to authors/genres/song name, 3. mapping MRI scan data to medical diagnoses, 4. mapping Question’s answers to subjects/categories, 5. mapping internet clicks to advert suggestions. Consequently, machine learning is now used also to find better representation of the input itself (this is called representation learning).  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Function Questions  * Learner will be able to say authoritatively that I can complete:  Any Function question on:  Mappings  Functions Definition  Composite and Inverse Function  Modulus functions  Graph of Function and its Inverse  Application of functions to real life situations

Functions Part1

Do you know? Functions are everywhere where technology is, literally. But since the world is now crazy about machine learning, let me mention this one: machine learning is all about learning a function. For instance: 1. mapping images to the names of the people on the images, 2. mapping digital songs to authors/genres/song name, 3. mapping MRI scan data to medical diagnoses, 4. mapping Question’s answers to subjects/categories, 5. mapping internet clicks to advert suggestions. Consequently, machine learning is now used also to find better representation of the input itself (this is called representation learning).  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Function Questions  * Learner will be able to say authoritatively that I can complete:  Any Function question on:  Mappings  Functions Definition  Composite and Inverse Function  Modulus functions  Graph of Function and its Inverse  Application of functions to real life situations

Series: The Binomial Theorem Part2

Do you know? The random generation and distribution of IP addresses to an ever-increasing number of electronic devices, which are now expanding exponentially in the past decade such as the Internet of Things (IoT), can be easily done using the power of binomial theorem. Not only that, but you can also automate it to compute its own time and cost to complete a pending project. This method is called variable subnetting; other applications of the binomial theorems includes: Economy, Higher mathematics, Forecast services, Ranking, Internet protocol (IP), Architecture, Finance, Population estimation, Probability * Presentation – Complete video for teachers and learners on Binomial Theorem. * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Binomial Theorem Question * Learner will be able to say authoritatively that I can: Use the binomial theorem for expansion of (a+b)^n for positive integral n. Use the general term to complete questions involving the term independent of any given variable for a binomial expansion I can apply binomial expansion to real life situations.

Series: The Binomial Theorem Part1

Do you know? The random generation and distribution of IP addresses to an ever-increasing number of electronic devices, which are now expanding exponentially in the past decade such as the Internet of Things (IoT), can be easily done using the power of binomial theorem. Not only that, but you can also automate it to compute its own time and cost to complete a pending project. This method is called variable subnetting; other applications of the binomial theorems includes: Economy, Higher mathematics, Forecast services, Ranking, Internet protocol (IP), Architecture, Finance, Population estimation, Probability * Presentation – Complete video for teachers and learners on Binomial Theorem. * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Binomial Theorem Question * Learner will be able to say authoritatively that I can: Use the binomial theorem for expansion of (a+b)^n for positive integral n. Use the general term to complete questions involving the term independent of any given variable for a binomial expansion I can apply binomial expansion to real life situations.

Circular Measure Part2

 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 Questions  * 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.

Circular Measure Part1

 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 Questions  * 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.

Factors and Polynomials Part2

 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.

Factors and Polynomials Part1

 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.

Quadratic, Inequality, Absolute Graphs and Functions Part2

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.

Quadratic, Inequality, Absolute Graphs and Functions Part1

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.