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Live Lesson · Year 10 IGCSE Higher
CRACK THE
ALGORITHM
A Mathematics Project  ·  StreamWave  ·  Two 80-minute lessons
Work in pairs or small teams Real maths. Real stakes. 🎵 Data Science Division
The Scenario
You've just
been hired.
StreamWave is a music streaming startup going head-to-head with Spotify.

Your team are the junior data scientists.

Your job: build and optimise the mathematics behind the entire platform — the recommendation engine, the revenue model, and the traffic system.
280M+
Users · Monthly Active
£1.2B
Revenue · Annual Target
100M
Tracks · In Catalogue
Mr. Goddard's Maths · Crack the Algorithm · Year 10 IGCSE
How This Works
👥
Work in pairs or small teams
Discuss your reasoning — the maths is hard, two heads are better than one.
Collaborative
🎯
Real-world context throughout
Every answer should connect back to StreamWave. What does it mean for the business?
Applied Maths
📋
5 tasks across 2 lessons
Each task gets harder. Show all working — your CEO wants to see the maths.
Progressive
🎤
3-minute pitch at the end
End of Lesson 2: each team presents their key findings to the class.
Presentation
Mr. Goddard's Maths · Crack the Algorithm · Year 10 IGCSE
Lesson 1 — Building the Models
Three tasks · Work through in order · Show all working
01
Recommendation Score
Composite & inverse functions
22 min
02
Maximising Revenue
Completing the square (a > 1)
28 min
03
Peak Traffic
Differentiation & 2nd derivative
18 min
Mr. Goddard's Maths · Crack the Algorithm · Year 10 IGCSE
🎤 The Pitch
3 MINUTES PER TEAM · NO SLIDES NEEDED · JUST YOUR MATHS AND YOUR VOICE
📈
Revenue & Listeners What is the peak revenue and optimal listener count?
⏰
Peak Traffic When does StreamWave hit peak traffic? What should the team do about it?
👥
User Mix How many Premium vs Free users should the platform target?
💡
Key Finding One surprising or interesting finding from your analysis.
Mr. Goddard's Maths · Crack the Algorithm · Year 10 IGCSE
StreamWave is counting on you
Good luck,
Data Scientists.
Mr. Goddard's Maths  ·  Year 10 IGCSE Higher
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