Group course · Ages 11–16 · 8 weeks, 16 lessons
The Mathematical Executive.
Are standard school worksheets leaving a capable student uninspired? This course bypasses textbook drills entirely and introduces university-level mathematics by applying it to high-stakes business decisions — optimisation, risk, growth modelling and regression.
The idea
Welcome to the boardroom
Over eight weeks, mathematically able students step into the shoes of executives, venture capitalists and data analysts. From predicting elite sports performance to optimising multi-million-pound marketing budgets, they discover what advanced mathematics is actually for.
The concepts are genuinely advanced — linear programming, probability mass functions, the Poisson distribution, standard deviation, exponential growth, least-squares regression, expected monetary value. What makes them accessible is that every one arrives attached to a decision somebody really has to make.
This course does not teach children how to calculate. It teaches them how to think like analysts.
At a glance
- Ages: 11–16 (advanced KS3 / GCSE enrichment)
- Length: 8 weeks, 16 lessons, two per week
- Lesson: 60 minutes, live and interactive
- Prerequisites: comfortable rearranging simple equations; an appetite for logical puzzles. No business knowledge needed.
- English: advanced or fluent (CEFR C1–C2) — students pitch their findings aloud
- Tools: spreadsheet modelling throughout
TO ADD: enrolment link once the course is live
Every lesson, same shape
How an hour runs
- 00–10 minThe Executive Hook. An immediate, high-stakes corporate dilemma to solve.
- 10–25 minThe Theoretical Shift. The advanced mathematical tool is introduced — along with a demonstration of why the standard school method falls short here.
- 25–50 minThe Boardroom Simulation. Students work live through data matrices and spreadsheets to build a strategy.
- 50–60 minThe Executive Pitch. Students present their findings and defend their calculations under questioning.
The full syllabus
Eight weeks, sixteen missions
Each lesson pairs a piece of advanced mathematics with the commercial skill it unlocks.
| Week | Mission | Mathematics | Commercial skill |
|---|---|---|---|
| 1.1 | Foundations of Operations Analyse the baseline cost structures, variable expenses and revenue lines of a scaling business. | Linear equations, slope–intercept form, cost/revenue intersects | Break-even analysis; fixed vs variable costs |
| 1.2 | The Operational Pivot Step in as COO to balance competing production lines and find the exact point where production turns from profit to loss. | Systems of linear equations; multi-variable substitution | Cost accounting; production capacity planning |
| 2.1 | Mapping the Feasible Region Define the mathematical boundaries of a vertical farm’s resource constraints. | Inequalities, half-planes, convex polygons | Resource allocation; constrained optimisation |
| 2.2 | The Executive Vertex Use spreadsheet modelling to find the coordinates that maximise the farm’s profit. | Fundamental theorem of linear programming; vertex evaluation | Supply chain efficiency; operations management |
| 3.1 | Probability Foundations Quantify everyday operating risks and the baseline probability of rare but disruptive supply chain failures. | Discrete random variables; probability mass functions | Operational risk identification and mitigation |
| 3.2 | Sports Analytics Decide whether a £1,000,000 performance-bonus athlete contract is a smart commercial risk. | The Poisson distribution; expected value | Quantitative risk assessment; probability modelling |
| 4.1 | Data Spread Analyse product weight variation across automated assembly lines to find costly manufacturing flaws. | Variance, standard deviation, dispersion metrics | Quality control engineering; Six Sigma principles |
| 4.2 | The Risk Premium Build a balanced investment portfolio for a corporate treasury, assessing historical volatility to protect capital. | Weighted averages; variance of combined assets; risk/return | Asset management; corporate treasury strategy |
| 5.1 | Growth Modelling Map the compounding viral growth loops of a digital platform through its launch phase. | Geometric sequences and series; common ratios | Customer acquisition mechanics; cohort analysis |
| 5.2 | Venture Capital Evaluate a tech startup’s user growth curve to negotiate an equity stake. | Continuous exponential growth (A = Pert); logarithmic scales | Venture valuations; equity dilution |
| 6.1 | Predictive Data Find the hidden relationships in e-commerce activity data that drive purchase behaviour. | Covariance; scatter plots; Pearson correlation coefficient | Data-driven product development; consumer insight |
| 6.2 | Marketing Budgets Pitch a scientifically backed marketing budget and predicted return to a board of directors. | Linear regression; method of least squares; residuals | Marketing ROI; corporate analytics |
| 7.1 | Non-Linear Trends Track a product’s life cycle to pinpoint the moment it reaches peak market saturation. | Quadratic functions; parabolic vertices; polynomial curves | Product lifecycle management; inventory forecasting |
| 7.2 | The Pricing Sweet Spot Model non-linear demand curves to find the price point that maximises revenue. | Rates of change; revenue optimisation functions | Strategic pricing; yield management |
| 8.1 | Decision Matrices Map corporate expansion paths into international markets under unpredictable competition. | Decision trees; conditional probability; expected monetary value | Strategic planning; contingency frameworks |
| 8.2 | The Capstone Synthesise everything into a full corporate acquisition proposal, presented live to a board. | Integration of multi-disciplinary mathematical models | Executive communication; data visualisation; corporate strategy |
Who it is for
Built for students who are ahead
Gifted and talented students. Home-educated learners looking for rigorous enrichment. GCSE students who want to see where all of this is actually going. Anyone whose maths has become an exercise in repeating things they already understand.
What it is not is remedial support or exam cramming. Students who need to consolidate GCSE content are better served by one-to-one tuition, and I will tell you honestly which of the two I think fits.
Mathematics isn’t a list of rules to memorise — it is the ultimate strategic toolkit for decoding how the world works.
Charlie Wilson-Marklew · About the teacher