MATHEMATICS CERTIFICATIONS + PERSONALISED SCHOOL CURRICULUM SUPPORT
All mathematics certifications are aligned to Cambridge International, American Common Core, International Baccalaureate (IB), WAEC, NECO, JAMB, SAT, and TIMSS global frameworks. Curriculum is reviewed every 18 months.
WHO IT IS FOR
Primary school pupils · Junior secondary students · Senior secondary students · University students · Working professionals · Teachers · Homeschooled children · Anyone wanting to strengthen mathematics at any age and level — anywhere in the world
CMFP — Certified Mathematics Foundation Practitioner (CMFP)
“From counting to calculus — we make maths make sense.”
A rigorous, internationally benchmarked mathematics programme for primary-level learners. Builds deep number sense, spatial reasoning, and problem-solving confidence — aligned to Cambridge Primary, Common Core K–5, and IB PYP standards.
| Programme Details | Information |
|---|---|
|
Level |
Primary School | Ages 6–12 |
|
Audience |
Primary school pupils, homeschooled children, parents supporting children at home |
|
Standards |
Cambridge Primary Mathematics · Common Core State Standards K–5 · IB PYP · TIMSS Framework |
|
Duration |
2 years (with Personalised School Curriculum Support Programme) |
|
Format |
Self-paced · Live instructor-led · Cohort-based · Blended |
|
Assessment |
Proctored online assessment (minimum 75%) + problem-solving portfolio of 10 real-world maths tasks |
|
Certificate |
CMFP Certificate — Ukeh-Adah Alliance Services Ltd |
Course modules
Counting, ordering, and comparing numbers up to millions · Place value: ones, tens, hundreds, thousands, and millions · Rounding numbers and estimation strategies · Number patterns, sequences, odd and even numbers · Roman numerals and introduction to alternative number systems
Addition and subtraction: mental and written strategies · Multiplication and division: concepts, facts, and standard algorithms · Order of operations: BODMAS/PEMDAS · Introduction to unknowns: missing number problems · Multi-step real-world word problems
Fractions: proper, improper, mixed numbers, and equivalence · Adding, subtracting, multiplying, and dividing fractions · Decimals: place value, operations, and conversion · Percentages: meaning, calculation, and real-life applications · Comparing and ordering fractions, decimals, and percentages
2D shapes: properties, symmetry, and classification · 3D shapes: faces, edges, vertices, and nets · Angles: types, measurement, and construction with a protractor · Perimeter and area of rectangles, triangles, and compound shapes · Coordinate geometry: plotting and reading points on a grid
Units of measurement: length, mass, capacity, temperature, and time · Converting between metric and imperial units · Data collection: surveys, tallying, and frequency tables · Representing data: bar charts, pie charts, line graphs, and pictograms · Interpreting data and drawing evidence-based conclusions
Mathematical reasoning: making and testing conjectures · Logical puzzles, sequences, and pattern problems · Real-world problem solving across all topic areas · Mathematical communication: explaining solutions clearly in writing · Capstone: mixed-topic problem set and portfolio submission
Demonstrate fluency in number, fractions, and basic algebra at primary level · Apply geometric reasoning and measurement in real-world contexts · Collect, represent, and critically interpret statistical data · Communicate mathematical reasoning clearly and confidently · Achieve readiness for Cambridge Lower Secondary / Common Core Grade 6 / IB MYP
Complete all 6 modules, pass a proctored online assessment (minimum 75%), and submit a problem-solving portfolio demonstrating application of mathematics across 10 real-world situations.
Foundation for all STEM education pathways. Prepares students for CMIP and onward to secondary and university-level mathematics
CMIP — Certified Mathematics Intermediate Practitioner (CMIP)
“Building the mathematical foundations that last a lifetime.”
A globally benchmarked intermediate mathematics certification covering the full junior secondary curriculum. Prepares students comprehensively for Cambridge IGCSE, Common Core Grade 6–8, and IB MYP examinations.
| Programme Details | Information |
|---|---|
|
Level |
Junior Secondary | Ages 11–15 | JSS 1–3 |
|
Audience |
Junior secondary students, homeschoolers, students preparing for IGCSE or Common Core Grade 6–8 |
|
Standards |
Cambridge Lower Secondary Mathematics · Common Core Grade 6–8 · IB MYP Years 1–3 · PISA Framework |
|
Duration |
18 months (with Personalised School Curriculum Support Programme) |
|
Format |
Self-paced · Live instructor-led · Cohort-based · Blended |
|
Assessment |
Proctored online assessment (minimum 75%) + mathematical investigation project |
|
Certificate |
CMIP Certificate — Ukeh-Adah Alliance Services Ltd |
Course modules
Integers: operations, absolute value, and number lines · Factors, multiples, LCM, HCF, and prime factorisation · Powers, roots, and index laws · Scientific notation and standard form · Rational and irrational numbers — definitions and examples
Algebraic expressions: simplifying, expanding, and factorising · Linear equations in one and two variables · Simultaneous equations: substitution and elimination methods · Inequalities: solving, representing, and graphing on a number line · Algebraic modelling of real-world scenarios
Angles: parallel lines, transversals, and polygon angle properties · Triangles: congruence, similarity, and Pythagoras’ theorem · Circles: circumference, area, arc length, and sector area · Introduction to trigonometry: SOH-CAH-TOA and applications · 3D geometry: surface area and volume of prisms and cylinders
Ratio and proportion in real-world contexts · Direct and inverse proportion · Percentages: increase, decrease, profit, loss, and VAT · Simple interest and compound interest · Scale drawings, maps, exchange rates, and rates of change
Data collection, sampling methods, and sources of bias · Measures of central tendency: mean, median, and mode · Measures of spread: range and interquartile range · Probability: theoretical, experimental, and combined events · Tree diagrams and Venn diagrams for combined probabilities
Coordinate geometry: gradient, midpoint, and distance formula · Straight-line graphs: y = mx + c, plotting, and interpreting · Quadratic graphs: plotting and interpreting key features · Transformations: translation, reflection, rotation, and enlargement · Vectors: notation, addition, subtraction, and scalar multiplication
Solve linear and simultaneous equations and model real-world situations algebraically · Apply geometry, trigonometry, and Pythagoras’ theorem to 2D and 3D problems · Analyse statistical data and evaluate probability with confidence · Use coordinate geometry and transformations precisely · Achieve readiness for Cambridge IGCSE / Common Core Grade 9 / IB MYP Year 4
Complete all 6 modules, pass a proctored online assessment (minimum 75%), and submit one mathematical investigation project demonstrating extended thinking.
Preparation for CMAP (Senior Secondary), Cambridge IGCSE Mathematics, IB MYP, and all STEM career pathways.
CMAP — Certified Mathematics Advanced Practitioner (CMAP)
“World-class mathematics for world-class ambitions.”
A world-class senior secondary mathematics certification aligned to Cambridge IGCSE, A-Level, IB Diploma, and SAT standards. Covers pure mathematics, statistics, mechanics, and full international examination preparation.
| Programme Details | Information |
|---|---|
|
Level |
Senior Secondary | Ages 14–18 | SS 1–3 |
|
Audience |
Senior secondary students, Cambridge A-Level/IGCSE candidates, IB Diploma students, SAT aspirants, WAEC/NECO/JAMB candidates |
|
Standards |
Cambridge IGCSE & A-Level Mathematics · IB DP Mathematics (Analysis & Approaches + Applications & Interpretation) · Common Core Grade 9–12 · SAT Math · WAEC / NECO / JAMB |
|
Duration |
18 months (with Personalised School Curriculum Support Programme) |
|
Format |
Self-paced · Live instructor-led · Cohort-based · Blended |
|
Assessment |
Proctored examination (minimum 75%) + mathematical investigation to IB/Cambridge standard |
|
Certificate |
CMAP Certificate — Ukeh-Adah Alliance Services Ltd |
Course modules
Quadratic equations: factorisation, completing the square, formula, and discriminant · Polynomials: division, remainder theorem, and factor theorem · Functions: domain, range, inverse, composite, and modulus functions · Exponential and logarithmic functions, equations, and graphs · Arithmetic and geometric sequences and series including sum to infinity
Equation of a circle, tangent and normal to a circle · Sketching and transforming graphs of all function types · Modelling with functions: fitting curves to real-world data · Inequalities: linear and quadratic — algebraic and graphical methods · Parametric equations: definition, sketching, and conversion to Cartesian form
Trigonometric functions: definitions, graphs, and transformations · Exact values and the unit circle in degrees and radians · Trigonometric identities: Pythagorean, double angle, and addition formulae · Solving trigonometric equations in given domains · Sine rule, cosine rule, area formula, and 3D trigonometry problems
Limits and continuity: definition and evaluation · Differentiation from first principles · Rules of differentiation: chain, product, quotient, and implicit · Applications: tangents, normals, rates of change, increasing/decreasing functions · Optimisation: finding maximum and minimum values in real-world contexts
Indefinite and definite integrals using standard results · Integration techniques: substitution and integration by parts · Area under and between curves using definite integrals · Volumes of revolution (A-Level/IB Higher Level) · Introduction to differential equations: separable variables
Probability distributions: binomial and normal distribution · Hypothesis testing: one-tail and two-tail significance tests · Correlation and linear regression: PMCC and least-squares line · Vectors in 2D and 3D: operations, scalar product, and angle calculation · Kinematics and Newton’s laws: constant acceleration, forces, connected particles
Cambridge A-Level, IGCSE, IB, SAT, WAEC past paper practice · Exam technique: time management, mark allocation, and checking strategies · Rigorous mathematical proof: direct, contradiction, and induction · IB-style mathematical exploration: topic selection, research, and write-up · Full timed mock examination with detailed written feedback
Master pure mathematics from algebra and functions through to calculus · Apply statistics, probability, vectors, and mechanics with precision · Prepare comprehensively for Cambridge, IB, SAT, and WAEC examinations · Construct rigorous mathematical proofs and extended investigations · Achieve full readiness for university-level STEM degree programmes
Complete all 7 modules, pass a proctored examination (minimum 75%), and submit a mathematical investigation meeting IB or Cambridge extended project standards.
University mathematics, engineering, economics, medicine, data science, computer science, and all STEM degree programmes worldwide.
CPMP — Certified Professional Mathematics Practitioner (CPMP)
“University-level mathematics. Real-world power.”
A university and professional-level mathematics certification covering advanced pure mathematics, linear algebra, probability, numerical methods, and the mathematical foundations of data science and artificial intelligence.
| Programme Details | Information |
|---|---|
|
Level |
University & Professional |
|
Audience |
University students, engineers, data scientists, economists, researchers, and STEM professionals |
|
Standards |
Undergraduate Mathematics Standards · IB DP Further Mathematics · IEEE Mathematical Standards · ACM Data Science Curriculum |
|
Duration |
1 year (with Personalised School Curriculum Support Programme) |
|
Format |
Self-paced · Live instructor-led · Cohort-based · Blended |
|
Assessment |
University-level proctored examination (minimum 75%) + original mathematical research or modelling project |
|
Certificate |
CPMP Certificate — Ukeh-Adah Alliance Services Ltd |
Course modules
Sequences, series, and convergence: tests and formal proofs · Multivariable calculus: partial derivatives, gradient, and Hessian matrix · Multiple integrals: double, triple, and change of variables (Jacobian) · Vector calculus: divergence, curl, Green’s, Stokes’, and Gauss’ theorems · Fourier series and Laplace transforms — introduction and applications
Vector spaces, subspaces, span, bases, and dimension · Linear transformations, matrices, rank, and nullity theorem · Eigenvalues, eigenvectors, diagonalisation, and Jordan normal form · Inner product spaces, orthogonality, and Gram-Schmidt process · Applications: Google PageRank, PCA, computer graphics, and quantum computing
Probability spaces, random variables, and distribution functions · Expectation, variance, moment generating functions, and characteristic functions · Central Limit Theorem and Law of Large Numbers — proofs and applications · Bayesian inference: prior, posterior, credible intervals, and MCMC introduction · Regression analysis, ANOVA, and non-parametric statistical tests
Mathematical logic: propositions, quantifiers, and proof strategies · Set theory: operations, power sets, and Cartesian products · Graph theory: paths, trees, planarity, colouring, and network flow · Combinatorics: permutations, combinations, pigeonhole, inclusion-exclusion · Number theory: modular arithmetic and RSA cryptography basics
Root-finding: bisection, Newton-Raphson, and secant methods · Numerical integration: trapezoidal, Simpson’s, and Gaussian quadrature · ODE solvers: Euler, Runge-Kutta methods, and stability analysis · Mathematical modelling: SIR epidemiological models and optimisation · Error analysis, convergence rates, and computational complexity
Linear algebra for ML: SVD, PCA, and matrix factorisation · Calculus for optimisation: gradient descent and backpropagation mathematics · Probability for Bayesian networks and probabilistic graphical models · Statistics for experimental design, A/B testing, and causal inference · Mathematical foundations of neural networks and deep learning
Apply advanced calculus, linear algebra, and real analysis to real-world problems · Implement numerical methods and mathematical models computationally · Use probability and statistics at a professional research level · Understand the mathematical foundations of AI and data science · Achieve a credential equivalent to first-year university mathematics distinction
Complete all 6 modules, pass a university-level proctored examination (minimum 75%), and submit an original mathematical modelling or research project with a written report.
Data Scientist, Machine Learning Engineer, Quantitative Analyst, Research Mathematician, Actuary, Financial Modeller, Aerospace Engineer, Biostatistician, and academic research across all STEM disciplines.
MATHEMATICS PILLAR — PERSONALISED SCHOOL CURRICULUM SUPPORT PROGRAMME
We do not just teach our modules. We support YOUR child’s actual school curriculum.
Every child learns differently. Every school teaches differently. At Ukeh-Adah Alliance Services Ltd, we believe that world-class mathematics education must meet the child where they are — not force the child to come to us. That is why we go beyond our own world-class certification modules to offer a fully personalised mathematics support programme built around each child’s individual school curriculum, learning pace, and learning style.
Once a student has completed our core certification modules, we turn our full attention to their personal school programme. Parents or guardians simply share their child’s school curriculum — whatever country, whatever school, whatever system — and we build a bespoke learning plan around it. No child is left behind. No curriculum is too different. No learning style is too unusual.
How the Personalised School Curriculum Support works
| Step | What happens | What you do |
|---|---|---|
|
1 |
Complete our world-class modules |
The child works through the relevant Ukeh-Adah certification (CMFP, CMIP, CMAP, or CPMP) at their own pace, building a strong global foundation in mathematics |
|
2 |
Share your school curriculum |
Parent or guardian uploads or shares the child’s school mathematics curriculum, textbook, scheme of work, or syllabus — any format, any country, any school |
|
3 |
Curriculum assessment |
Our team reviews the child’s school curriculum and maps it against what has already been covered in our modules — identifying gaps, overlaps, and school-specific topics |
|
4 |
Personalised learning plan |
We build a bespoke mathematics learning plan tailored to the child’s school curriculum, their learning pace, their learning style, and any areas needing extra support |
|
5 |
Personalised teaching sessions |
Our tutors deliver targeted sessions covering the school-specific content — using the child’s own textbooks, exercises, past papers, and school assessment formats |
|
6 |
Progress monitoring |
We track the child’s progress against both our global standards and their school’s specific requirements — reporting to parents regularly |
|
7 |
School exam preparation |
We prepare the child specifically for their school’s internal examinations, terminal exams, and national examinations using the exact format their school uses |
School curricula we support — from every country
Because parents share the curriculum with us, we can support ANY school mathematics curriculum in the world. Here are examples of the systems we are already familiar with and ready to support:
WAEC/NECO/JAMB · Nigerian National Curriculum (NMC) · Lagos State Curriculum · Federal Government College syllabus · UBEC primary curriculum
Cambridge IGCSE & A-Level · Edexcel GCSE & A-Level · AQA Mathematics · National Curriculum (KS1–KS4) · Scottish National 5 & Highers
Common Core State Standards (K–12) · AP Calculus AB & BC · SAT/ACT Mathematics · State-specific curricula (Texas TEKS, Florida BEST, etc.)
IB Primary Years Programme (PYP) · IB Middle Years Programme (MYP) · IB Diploma Mathematics (AA & AI) · Cambridge Primary & Lower Secondary
Kenya CBC · Uganda UCE/UACE · Tanzania NECTA · Rwanda REB curriculum · Zimbabwe ZIMSEC
Ghana BECE/WASSCE · South Africa CAPS (Grades R–12) · Cameroon GCE · Ethiopia MOE curriculum
Australia ACARA · Singapore MOE Mathematics · India CBSE & ICSE · New Zealand NZC
Any parent-designed homeschool programme · Montessori-aligned mathematics · Charlotte Mason approach · Classical mathematics curriculum
Don't see your curriculum listed?
No problem at all. If a parent shares it with us, we will teach it. Our tutors are experienced with mathematics at all levels and can adapt to any curriculum, any textbook, and any school’s assessment format within 48 hours of receiving the materials.
Every child learns differently — we teach every way
Traditional classrooms use one teaching method for every child. We do not. Our personalised approach identifies how each individual child learns best and delivers mathematics in that way. Here is how we adapt
We use diagrams, colour-coded notes, graphs, manipulatives, geometric models, and visual step-by-step worked examples — mathematics you can see
We explain mathematics out loud, use rhythm and verbal patterns, encourage thinking aloud, and use spoken problem-solving walk-throughs
We use hands-on activities, real physical objects, measurement tasks, building activities, and movement-based mathematics games
We provide detailed written notes, structured workbooks, step-by-step written methods, and encourage mathematical journalling
We slow down, spend more time on each concept, use smaller steps, and never move on until the child is fully confident
We accelerate, challenge with harder problems, introduce enrichment topics early, and provide competition mathematics for gifted students
We build confidence through small wins, encouraging language, real-world relevance, and a completely non-judgmental environment
We adapt approaches for dyslexia, dyscalculia, ADHD, and other learning differences — working closely with parents on the best strategies
Hands-on learning & real-world connections
Mathematics is not just a subject in a book — it is the language of the real world. At Ukeh-Adah Alliance Services Ltd, every concept we teach is connected to real life. Here is how we bring mathematics to life
Primary level (Ages 6–12)
Counting using coins, food, and everyday objects · Measuring distances around the home · Fractions using pizza, cake, and fruit · Geometry by building shapes from paper · Data by surveying family members · Time using daily routines
Secondary level (Ages 11–18)
Algebra through phone pricing and mobile data plans · Statistics using football scores and league tables · Trigonometry using building heights and shadows · Financial maths using real bank accounts and budgets · Probability using card games and weather forecasts
University & Professional
Calculus applied to economics, physics, and engineering · Statistics for research, business decisions, and health data · Linear algebra through computer graphics and machine learning · Mathematical modelling of real-world systems · Numerical methods for programming and data science
Homeschooling mathematics — a world of possibilities
Say goodbye to the traditional classroom and hello to a world of possibilities. Our homeschooling mathematics programme gives your child the freedom to learn at their own pace, in their own way, and on their own schedule — without sacrificing world-class quality or missing any curriculum requirements.
What our homeschooling programme offers
✅ Complete flexibility — your child learns when they are ready, not when a bell rings ✅ World-class foundation — our 4 certification programmes (CMFP, CMIP, CMAP, CPMP) provide a stronger base than most school curricula ✅ Your curriculum covered — share any homeschool programme, state requirements, or self-designed curriculum and we will support it ✅ Regular parent reporting — we keep parents fully informed of progress, strengths, and areas to work on ✅ Socialisation through mathematics — group problem-solving sessions, maths competitions, and collaborative learning activities ✅ Portfolio building — students collect evidence of their mathematical learning for university applications and scholarship interviews ✅ Gifted and talented support — advanced advanced enrichment for mathematically gifted children ✅ Exam preparation — we prepare homeschooled students for any external examination they wish to sit: WAEC, IGCSE, SAT, IB, A-Level
6 years old (Primary CMFP level)
No upper limit — university and professional level available
One-on-one live sessions via Zoom or Google Meet · Self-paced recorded content · Hybrid combining both
Flexible — from 1 session per week to daily sessions depending on family needs
Parents upload via the student portal — PDF, photo of textbook, scheme of work, or any format
Personalised learning plan delivered within 48 hours of curriculum submission
Monthly written reports to parents with progress, recommendations, and next steps
English (primary) · Local language support can be arranged on request
Our promise to every child and every family
“Every child can learn mathematics. Every child can love mathematics. Every child can succeed at mathematics — in our way and in your way.”
At Ukeh-Adah Alliance Services Ltd, we are not here to replace your child’s school — we are here to make sure your child is never left behind by it. Whether your child needs to catch up, keep up, or race ahead — whether they attend a government school in Kano, a private school in London, or are homeschooled in Houston — we are here to ensure they reach their full mathematical potential.
Every curriculum. Every learning style. Every child. Every country.
How to enrol your child in the Personalised School Curriculum Support Programme
Enrol your child in the appropriate Ukeh-Adah Mathematics Certification (CMFP for primary, CMIP for junior secondary, CMAP for senior secondary, CPMP for university level).
Complete the child’s certification modules at their own pace.
Upload your child’s school curriculum, textbook, or scheme of work through the student portal.
Our team prepares a personalised curriculum support plan within 48 hours.
Your child begins personalised school-curriculum sessions alongside or after the certification modules. Enrol now or contact us to discuss your child’s specific needs.
“Enrol Now — Join Thousands of Students and Researchers Worldwide”
“Get Certified. Build Skills. Change Your Future.”
IITA-CGIAR Research Fellow · CAC Registered · Over 15 Years of Excellence · Globally Recognised Certificates