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°”.

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

 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.

 * 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? 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

 * 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.

 * GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Approximation and Estimation Questions [Upper and Lower Bound]  * Learner will be able to say authoritatively that:  I can solve any given Rounding Questions: Estimate numbers using rounding, decimal places and significant figures. …To estimate means to make a rough guess or calculation. To round means to simplify a known number by scaling it slightly up or down. Rounding is a type of estimating. Both methods can help you make educated approximations and can be used in everyday life for tasks related to money, time or distance.  While accurate estimates are the basis of sound project planning, there are many techniques used as project management best practices in estimation as - Analogous estimation, Parametric estimation, Delphi method, 3 Point Estimate, Expert Judgement, Published Data Estimates, Vendor Bid Analysis, Reserve Analysis, Bottom  I understand and can apply Upper and Lower Bound concepts in all fields of studies:  Upper and lower bounds are useful to find best case running time and worst case running time of an algorithm. In general lower bound means the best case running time and upper bound means the worst case running time… N.B- For complete lecture on Approximation and Estimation, click the link this: https://youtu.be/z6GKSUYDYoY For more Maths, AddMaths, ICT, Robotic and Coding, click any of the links below: https://www.amazon.com/Sayo-Enoch-Aluko/e/B092ZZD72B%3Fref https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.youtube.com/c/SayoEnochAluko/videos

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:- Trigonometry Graph Probability: Tree Diagram to complete questions involving Bayes Theorem, Conditional Probability and Contingency Table Applications of Differentiation Cumulative Frequency Curve Functions 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

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

Game Development: Have you ever wanted to make your own game? Chances are that if you do then you’ll need to know at least some trigonometry. It’s used in many aspects of game development. Whether you want to design a character, make them move or design the environment they will move in, you’ll need to learn trigonometry. Other applications include: Architecture and Engineering, Music Theory and Production, Electrical Engineers and Manufacturing Industry, Sounds and Light Waves, Oceanography, Creation of maps. For instance, Astronomers use trigonometry to calculate how far stars and planets are from Earth. Trigonometry technique is also used by NASA scientists today when they design and launch space shuttles and rockets.  * GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any International Exam Style Graphing Trigonometry Function 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 https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos https://scratch.mit.edu/users/alukosayoenoch/ #teachers #students #education #eLearning

 * 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

 * GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Polygons Questions  * Learner will be able to say authoritatively that: I can solve any given problem involving;-  Polygons  Interior Angles  Exterior Angles  Real-life applications of polygons Understanding shapes is important in geometry. Shapes have a wide application in real life applications. For example: • The tiles which you walk on are squared in shaped, which implies that, they are polygons. • The truss of a building or bridge, the walls of a building etc. are examples of polygons. Trusses are triangular in shape while walls are rectangular shaped. • The rectangular part of a chair on which you are sitting on is an example of a polygon. • The rectangular shaped screen of your laptop, television or mobile phone is an example of a polygon. • A rectangular football pitch or playground is an example of a polygon. • The Bermuda Triangle which is triangular shaped is a polygon. • The Pyramids of Egypt are also example of polygons (triangular) • Star shaped figures are examples of a polygon. • Road signs is also an example of polygons

This KS3 Board Work on Rotation and Rotation Symmetry is a very good and effective teaching materials to help aid your students in Transformation. Hope you will find the resources quite useful https://scratch.mit.edu/users/alukosayoenoch/ https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.youtube.com/feed/my_videos https://www.linkedin.com/in/aluko-sayo-enoch-486aa653/ https://alukosayoenoch.wixsite.com/selfcoding https://universityoflagos.academia.edu/SayoAluko

 * 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

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

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 Rotation Centre 0,0  I can solve any given question on Rotation Centre (x, y/ x, y⋲ℝ)  I can solve any given question on Describing Rotation.  I can solve any given question on Combined and Repeated Transformation

 * GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Mensuration Questions  * Learner will be able to say authoritatively that:  I can solve any given Mensuration Questions involving Plane or 2-D Shapes and Solid or 3-D Shapes  3-D mensuration is concerned with the study and calculation of surface area, lateral surface area, and volume of 3-dimensional figures like a cube, sphere, cuboid, cone, cylinder, etc  I understand and can apply Mensuration concepts in all fields of studies: Some of the applications are:- • Amount of paint required to cover a certain surface area. • Amount of carpet required for a particular room. • Fencing needed for the perimeter of a garden. • Pavement tessellation of a pathway. • Volume of soil needed to fill in a ditch. • The distance around a circular race track.  Mensuration is a very important topic when it comes to the geometry of the universe. By definition, mensuration refers to the part of geometry concerned with ascertaining lengths, areas, and volumes. Hence, it is easy to see why mensuration is instrumental and plays a big part in real-world applications.