Do you know? Kinematics is used in astrophysics to describe the motion of celestial bodies and systems; and in mechanical engineering, robotics and biomechanics to describe the motion of systems composed of joined parts (such as an engine, a robotic arm, or the skeleton of the human body). Motion of wheel, gears, motors, etc is rotational motion. Motion of the blades of the helicopter is also rotatory motion. Doors, swiveling on its hinges as you open or close it. A spinning top, motion of a Ferris wheel in an amusement park Understanding the kinematics of human movement is of both a basic and an applied value in medicine and biology. Kinematic knowledge is also essential for proper diagnosis and surgical treatment of joint disease and the design of prosthetic devices to restore function. Complete video for teachers and learners on Kinematics, GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Kinematics Exam’s Style Questions Learner will be able to say authoritatively that: I can solve any given question on Applications of Differentiation in Kinematics I can solve any questions on Applications of Integration in Kinematics I can solve any given question on Kinematics generally. https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos

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

 * 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.

This a good teaching and learning resources. It’s an IGCSE Maths Board Work on Algebraic Factorization. Hope you will find it useful

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.

 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? 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? 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.

 * Presentation – Complete video for teachers and learners on Straight Line Graphs Part 2  * A/AS-Level, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Straight Line Graphs Questions  Straight Line Graphs play an important part in our modern lives. They are used extensively in Sales and Marketing, Economics, Business, Psychology, Science and Medicine. Here is a Graph from a medical study of infertility that has several straight line portions in it.  * Learner will be able to say authoritatively that I can:  Interpret the equation of a straight line graph in the form y = mx + c  Solve questions involving mid-point and length of a line  Know and use the condition for two lines to be parallel or perpendicular, including finding the equation of perpendicular bisectors  Area of rectilinear, collinear points dividing a line segment in a given ratio  Transform given relationships, including y = ax^n and y = Ab^x, to straight line form and hence determine unknown constants by calculating the gradient or intercept of the transformed graph Mathematical slope can be used to measure the steepness of a mountain, the growth of money in a bank account and the ups and downs of the national unemployment rate or a roller coaster. Its formula is based on changes in the “x” and “y” axes of a graph on which data is plotted. Understanding slope is an important work skill for many jobs, from architecture, which requires calculating roof pitch, to any job necessitating analysis of graphs.

 * Presentation – Complete video for teachers and learners on Straight Line Graphs  * A/AS-Level, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Straight Line Graphs Questions  Straight Line Graphs play an important part in our modern lives. They are used extensively in Sales and Marketing, Economics, Business, Psychology, Science and Medicine. Here is a Graph from a medical study of infertility that has several straight line portions in it.  * Learner will be able to say authoritatively that I can:  Interpret the equation of a straight line graph in the form y = mx + c  Solve questions involving mid-point and length of a line  Know and use the condition for two lines to be parallel or perpendicular, including finding the equation of perpendicular bisectors  Area of rectilinear, collinear points dividing a line segment in a given ratio  Transform given relationships, including y = ax^n and y = Ab^x, to straight line form and hence determine unknown constants by calculating the gradient or intercept of the transformed graph Mathematical slope can be used to measure the steepness of a mountain, the growth of money in a bank account and the ups and downs of the national unemployment rate or a roller coaster. Its formula is based on changes in the “x” and “y” axes of a graph on which data is plotted. Understanding slope is an important work skill for many jobs, from architecture, which requires calculating roof pitch, to any job necessitating analysis of graphs.

 * 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 Learning and Teaching Resources, Board Work and video for teachers and learners on Similarity  * GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Similarity Questions  * Learner will be able to say authoritatively that:  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….

 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? 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.

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.

 * 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

 * 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.

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…