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.

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

 * 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.

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

This KS 3 Board Work on Enlargement and Scale Factor is a very good and effective teaching materials to help aid your students in Transformation. Hope you will find the resources quite useful

This is a complete lesson on Construction. The Learning resource contains Macros and ActiveX control for effects and interactive session. It’s a very rich lesson design with the following sub-topics: Drawing Lines and Angles. Construction of Triangles Construction of Line s and Angles Constructing Nets And Life Applications. I believe you will like to explore the beauty of the Board Works on Construction. Thanks. Aluko Sayo Enoch

This is a complete lesson on Standard Form. The Learning resource contains Macros and ActiveX control for effects and interactive session. It’s a very rich lesson design with the following sub-topics: Large and Small Numbers. Standard Form Ordering of Numbers Standard Form Calculations Real Life Applications I believe you will like to explore the beauty. Thanks. Aluko

Complete Board Work Lesson on Circle for KS3. Hope you will like it. Aluko

 * Presentation – Complete video for teachers and learners on Linear Programming  * IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Linear Programming Questions  * Learner will be able to say authoritatively that, I can:  Describe the objective. …  Define the decision variables. …  Write the objective function. …  Describe the constraints. …  Write the constraints in terms of the decision variables. …  Add the nonnegativity constraints. …  Write it up pretty.  Apply the knowledge of linear programming various fields of study: business, economics, engineering…  Also models life situation such as: transportation, energy, telecommunications, manufacturing…etc with my knowledge of Linear Programming

 * 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

 * 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….

 * 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…

Presentation – Complete video for teachers and learners on how to use master document and source data to create mail merge IGCSE Practice Revision Exercise which covers all the related skills for documentation - Mail Merge Paper 2, ICT 0417 Specimen Paper 2020 Complete Solution; Task 4 Learner will be able to identify and differentiate between the master document [Letter / rtf] and the source data [Database / csv file]. Also, learners should be able to complete any given IGCSE ICT Task Mail Merge A short rationale explaining the improvements on Mail Merge Based on the above listed improvement on the lesson plan, the students will be able to: explore the purpose of mail merge much more better compare to the first lesson plan understand the mail merge process much more better compare to the first lesson plan complete a mail merge much more better compare to the first lesson plan

 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….

 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

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

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? 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? 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.