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Exploration Ideas

All Algebra (11) Functions & Equations (26) Geometry & Trigonometry (71) Statistics & Probability (41) Calculus (20) Mathematical Modeling (5) Applied Mathematics (1) Graph Theory (9) 184 ideas
Predicting the Next Letter: Markov Chains and Autocomplete
Predicting the Next Letter: Markov Chains and Autocomplete

Your phone's keyboard predicts your next word from the last one or …

Probability Markov Chains +2
The Dice Man
The Dice Man

Make real decisions by dice roll for a month and use expected …

Probability Statistics +2
The Hot Hand: Do Basketball Players Get Streaky?
The Hot Hand: Do Basketball Players Get Streaky?

Commentators talk about a player 'being hot' after a run of makes, …

Probability Data Analysis +2
Maths of Dobble
Maths of Dobble

Every pair of cards in Dobble shares exactly one matching symbol. Work …

Combinatorics Game Mathematics +2
The Coupon Collector Problem
The Coupon Collector Problem

A long-established problem and a modern phenomenon.

Probability Combinatorics +1
The World Is Warming Up. And It’s Happening Faster.
The World Is Warming Up. And It’s Happening …

Human-caused global warming has been increasing faster and faster since the 1970s. …

Data Analysis Climate Science +2
Expanding a Football Stadium: The Geometry of More Seats
Expanding a Football Stadium: The Geometry of More …

Arsenal have discussed a major expansion of the Emirates Stadium that could …

Optimization Geometry +2
A Shadow Compass
A Shadow Compass

How to create a shadow compass in the Northern Hemisphere.

Trigonometry Navigation +2
Ordnance Survey
Ordnance Survey

The height of every point on a British map is measured relative …

Trigonometry Geometry +2
Where Have All the Young Home Buyers Gone? Check the Stock Market
Where Have All the Young Home Buyers Gone? …

The rent vs. buy debate has taken on new meaning for Gen …

Statistics Correlation +2
Taxicab Problem
Taxicab Problem

In taxicab geometry, distance is measured along a grid rather than as …

Distance Metrics Geometric Proofs +2
Climate Change
Climate Change

Climate change: Sudden heat increase in seas around UK and Ireland

Statistics Data Analysis +2
Antarctic sea-ice at 'mind-blowing' low alarms experts
Antarctic sea-ice at 'mind-blowing' low alarms experts

The sea-ice surrounding Antarctica is well below any previous recorded winter level, …

Statistics Data Analysis +2
CO2 Seasonal Variation
CO2 Seasonal Variation

Explore the seasonal variation in the context of climate change

Climate Science Climate Modeling +2
Average Sea Temperature
Average Sea Temperature

Med Sea heatwave might feel nice for holiday swimming but there's a …

Statistics Data Analysis +2
The Walkie-Talkie Skyscraper
The Walkie-Talkie Skyscraper

20 Fenchurch Street's curved facade focused sunlight and reportedly damaged a parked …

Geometry Architecture +2
Tennis Training Wall
Tennis Training Wall

A tennis practice wall is angled so the ball rebounds back towards …

Geometry Angles +2
Construction Cranes
Construction Cranes

A tower crane balances its load using a counterweight on the opposite …

Trigonometry Forces +2
How Long is a Piece of String?
How Long is a Piece of String?

Unroll a helix of wound string into a flat triangle and calculate …

Optimization Geometry +2
Nets and Wire Frames
Nets and Wire Frames

3D wireframe structures — geodesic domes, lampshades, sculptural frames — are built …

3D Geometry Engineering +2
Volumes of Revolution
Volumes of Revolution

A classic: What will be your take on this? - Explore the …

3D Geometry Calculus +2
Wavy Roads
Wavy Roads

Switchback roads use more distance to buy a gentler climb — the …

Geometry Civil Engineering +2
Crinkle Walls
Crinkle Walls

Why make walls thicker when you can make them curvy?

Optimization Geometry +2
Optimising the Volume of Tubes
Optimising the Volume of Tubes

A fixed amount of card can be rolled into an open tube …

Optimization Calculus +2