 * 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°”.

 * 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 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.

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

 * 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.

 * Presentation – Complete video for teachers and learners on Constructions  * Checkpoint / PSAT Practice Revision Exercise which covers all the related concepts required for students to unravel any Checkpoint Exam Style Construction Questions  Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (i.e. ruler) and a pencil. This is the “pure” form of geometric construction: no numbers involved!  * Learner will be able to say authoritatively that I can:  Construct Triangles (SSS, SAS, AAS).  Construct the perpendicular bisector from a segment.  Find the midpoint of a segment.  Draw a perpendicular line from a point to a line.  Bisect an angle.  Mirror a point in a line.  Construct a line through a point tangent to a circle. Mathematics is a core component of every engineering field and is also widely used in research. In Construction, tradespeople use mathematical concepts such as measurement, geometry and trigonometry for building roofs or houses, plasterers use ratios for mixing compounds, plumbers use hydraulics for heating systems.

 * Presentation – Complete video for teachers and learners on how to complete quadratic graph function using Transformation method  * IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Maths and Additional Maths Algebra 2 Topic based Questions  * Learner will be able to say authoritatively that:  I can graph quadratic functions in standard form (using properties of quadratics).  I can graph quadratic functions in vertex form (using basic transformations).  I can identify key characteristics of quadratic functions including axis of symmetry, vertex, min/max, y-intercept, x-intercepts, domain and range.

Centralized data management. One crucial aspect of payroll software is the ability to consolidate employees’ data in one place. Your employees’ personal records: This Payroll Management System is prepared by Aluko Sayo Enoch, as an opportunity to share my love for learning with an entire generation of thinkers and leaders; providing entrepreneurial platform via ICT based on the contemporary Technology Procedure: You can input new name and the entry level for a newly employed personal, consequetly the basic salary, allowance and equivalent payment information will be automated by the program. For more info or comment, log on: www.alukosayoenoch.wix.com/selfcoding Tel: +2348025358881, +2348033599440 www.unilag.academia.edu/SayoAluko/Papers

At both the junior and senior secondary school levels in Nigeria, student performance in mathematics examinations has been poor. Within the context of large classes, with inadequate facilities, and teaching and learning in a second language, algebra and algebra word problems are introduced to students during their first year of junior secondary school. The transition from primary school arithmetic to the use of the algebraic letter is challenging to students and it is important that teachers should know the likely difficulties and misconceptions students may have as they begin algebra…

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

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.