This is powerpoint is s form of Board Work on Probability. I believe you will like to explore the beauty. Thanks. Aluko

Transformation 1, Translation, Reflection and Enlargement Remix: IGCSE Exam Style Questions on Transformation Transformation means changing some graphics into something else by applying rules. … When a transformation takes place on a 2D plane, it is called 2D transformation. Transformations play an important role in computer graphics to reposition the graphics on the screen and change their size or orientation.  * Presentation – Complete video for teachers and learners on Transformation  * IGCSE 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 on Transformation Centre 0,0  I can solve any given question on Transformation Centre (x, y/ x, y⋲ℝ)  I can solve any given question on Translation.  I can solve any given question on Reflection.  I can solve any given question on Enlargement.  I can solve any given question on Describing Reflection and Enlargement.  I can solve any given question on Combined and Repeated Transformation

 * 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°”.

 * 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.

This is complete lesson is in form a Board Work on Composite and Inverse Function. I believe you will like to explore the beauty. Thanks. Aluko

The Revised Syllabus for Examination 2022-2024 Cambridge Assessment International Education Practice Questions Cambridge IGCSE Mathematics 0580 To accompany the revised syllabus for examination from 2022_2024 Questions Featured in this Video:- Geometry and Measure-3D, Volume, Surface Area, Density Vectors: Position Vectors, Vectors Geometry, Route Inspection Three Dimensional Problems: Orthogonal Projection, Elevation and Depression, Trigonometry Algebra: Geometrical Word Problem The Author decided to feature the remaining topics below in a separate video IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part1 https://youtu.be/HJj5UvpksoU IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part2 https://youtu.be/cfAGHNSX2XE Tree Diagram [Click the link: https://youtu.be/s4SJCC94H3c] Applications of Differentiation [Click the link: https://youtu.be/f6n4YeDI4pc] Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4] Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c] Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc] Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y] To access more Maths, ICT and videos on Robotic and Coding: [Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos] For Free Resources: Videos, Board Works and Code Script/Blocks: [Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch] #mathematics #education #students #edtech #schools #igcse #stem #teaching #elearning #teachers #college #backtoschool #virtualclassrooms #educative #algebra #video #workshop #highereducation

 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….

 * 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? 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 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

 * 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.

 * Presentation – Complete video for teachers and learners on Sequence  * IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Sequence Questions  * Learner will be able to say authoritatively that:  I can solve any given question on Linear Sequence  I can solve any given question on Quadratic Sequence  I can solve any given question on Cubic Sequence  I can solve any given question on Combined Sequence

Do you know? Logarithms used in computer imaging align pixels, organize colors and help computers manipulate photographs for enhancement, merging or comparison. After the creation of a digital image, the photographed information converts into small sections of color called pixels. Career fields where logarithms are used include construction and planning, energy, engineering, environmental services, finance, health and safety, manufacturing, medical and pharmaceutical research, packaging, production, research and development, shipping and transportation, supply and wholesale, technology and … Just as with exponential functions, there are many real-world applications for logarithmic functions: intensity of sound, pH levels of solutions, yields of chemical reactions, production of goods, and growth of infants. Three of the most common applications of exponential and logarithmic functions have to do with interest earned on an investment, population growth, and carbon dating. Complete video for teachers and learners on Logarithmic and Exponential Functions, GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Logarithmic and Exponential Functions Exam’s Style Questions Learner will be able to say authoritatively that, I can: Solve any given question on Logarithmic and Exponential Functions Solve any questions on Applications of Logarithmic and Exponential Functions Solve any given question on Inverse of Logarithmic and Exponential Functions. Solve any given question on graph of Inverse of Logarithmic and Exponential Functions. https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos #teachers #students #education #elearning

 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

Cambridge Assessment International Education Practice Questions Cambridge IGCSE Mathematics 0580 To accompany the revised syllabus for examination from 2020_2022 Questions Featured in this Video:- Simultaneous equations Graphs of functions Derivatives The Author decided to feature the remaining topics below in a separate video Congruence [Click the link: https://youtu.be/KTfZw7Vvlrc] Alternate segment theorem [Click the link: https://youtu.be/4fOdgqJfqmo] Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4] Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c] Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc] Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y] To access more Maths, ICT and videos on Robotic and Coding: [Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos] For Free Resources: Videos, Board Works and Code Script/Blocks: [Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch]

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

Below you could see some problems based on binary operations. Solved Examples Question 1: The binary operation * defined on Z by x * y = 1-2xy. Show that * is cumulative and associative. Solution: Given x * y = 1-2xy Binary operation is cumulative, since x * y = 1-2xy = 1-2yx = y * x => x * y = y * x * is cumulative. Now, check * is associative x * (y * z) = x * (1-2yz) = 1-2x(1-2yz) = 1-2x + 4xyz and (x * y) * z = (1-2xy) * z = 1-2(1-2xy)z = 1-2z + 4xyz => x * (y * z) ≠≠ (x * y) * z Thus, we can find that * is not associative on Z. Question 2: The binary operation * defined on Z by x * y = 1 + x + y. Show that * is cumulative and associative. Solution: Given x * y = 1 + x + y Binary operation is cumulative, since x * y = 1 + x + y = 1 + y + x = y * x => x * y = y * x Therefore, * is cumulative. Now, check * is associative x * (y * z) = x * (1 + y + z) = 1 + x + 1 + y + z = 2 + x + y + z (x * y) * z = (1 + x + y) * z = 1 + 1 + x + y + z = 2 + x + y + z x * (y * z) = (x * y) * z Thus, * is also satisfies associative property. A binary operation on a set is a calculation involving two elements of the set to produce another

Do you know? Exponents, Index Numbers, Powers, and Indices are used in lots of parts of our modern technological world. Exponents are used in Computer Game Physics, pH and Richter Measuring Scales, Science, Engineering, Economics, Accounting, Finance, and many other disciplines. Exponential Growth … Surds are used in real life to make sure that important calculations are precise, for example by engineers building bridges. Complete video for teachers and learners on Indices and Surds, GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Indices and Surds Exam’s Style Questions Learner will be able to say authoritatively that I can: Simplify expressions involving Indices Solve equations involving Indices and Surds Complete any task on multiplication, division and simplification of Surd Complete any task on rationalising the denominator of a fraction https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos #teachers #students #education #elearning

The concept of a limit is fundamental to Calculus. In fact, Calculus without limits is like Romeo without Juliet. It is at the heart of so many Calculus concepts like the derivative, the integral, etc. So what is a limit? Maybe the best example to illustrate limits is through average and instantaneous speeds: Let us assume you are traveling from point A to point B while passing through point C. Then we know how to compute the average speed from A to B: it is simply the ratio between the distance from A to B and the time it takes to travel from A to B. Though we know how to compute the average speed this has no real physical meaning.

 * GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Set Theory Questions  * Learner will be able to say authoritatively that:  I can solve any given Set Theory Questions involving:  Set Use of Language  Set Notations and Venn Diagram to describe Sets  Venn Diagrams are used in Mathematics to divide all possible number types into groups. They are also used in Mathematics to see what groups of numbers have things in common. Venn Diagrams can even be used to analyse music. We can analyse the characters in TV shows like “The Muppets” with a Venn Diagram  I understand and can apply Set Theory concepts in all fields of studies:  The general public applies arithmetic in grocery shopping, financial mathematics is applied in commerce and economics, statistics is used in many fields (e.g., marketing and experimental sciences), number theory is used in information technology and cryptography, surveyors apply trigonometry, operations research.