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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
Sundials
Sundials

How is the sun used to tell the time? - Explore the …

Trigonometry Solar Geometry +2
Optimising Fences
Optimising Fences

Another classic problem you could consider for your own garden.

Optimization Calculus +2
Tethered Goats
Tethered Goats

A goat is tethered by a rope to the wall of a …

Optimization Geometry +2
Cube Watermelons
Cube Watermelons

Expensive but not optimised? - Explore the mathematical principles and create your …

Optimization Geometry +2
Volume of Wood Cut
Volume of Wood Cut

Determine cost functions - Explore the mathematical principles and create your own …

Geometry Forestry +2
Cutting Logs
Cutting Logs

How much wood is here? - Explore the mathematical principles and create …

Geometry Forestry +2
Modelling a Truss Bridge
Modelling a Truss Bridge

A steel truss bridge carries its load through triangular frames of straight …

Bridge Engineering Catenary +2
Modelling a Bridge
Modelling a Bridge

What is the length of the cable from which bridge is suspended?

Bridge Engineering Cable Geometry +2
Catenary Curves
Catenary Curves

A hanging rope is not a parabola but how different is it?

Differential Equations Catenary Curves +2
The Logistic Curve
The Logistic Curve

New car sales that are electric look flat for years, then rocket …

Calculus Growth +2
Beer science: This popular glass keeps your brew coldest, says physics
Beer science: This popular glass keeps your brew …

Take a look at the attached news article - where's the maths?

Optimization Physics +2
Cooling Cup of Coffee
Cooling Cup of Coffee

What is the mathematics of a cooling cup of coffee?

Exponential Decay Heat Transfer +2
Deal or no Deal
Deal or no Deal

Deal or No Deal is one of the most commonly chosen exploration …

Probability Decision Making +2
The Dice Extinction Experiment
The Dice Extinction Experiment

Roll a hundred dice, remove every six, and watch a population go …

Decay Calculus +2
Compound versus Simple Interest
Compound versus Simple Interest

Explore how compound interest grows compared with simple interest, and where the …

Financial Mathematics Compound Interest +2
Drip-Feed or Lump Sum? Investing Bit by Bit
Drip-Feed or Lump Sum? Investing Bit by Bit

Compare investing a lump sum today with investing the same total spread …

Financial Mathematics Compound Interest +2
Investments
Investments

A look at market growth over the past 100 or so years.

Financial Mathematics Compound Interest +2
Quadratics and Sequences
Quadratics and Sequences

Modelling a bouncing ball.

Sequences Quadratic Functions +2
How Robust Is a Transport Network?
How Robust Is a Transport Network?

Real transport networks build in backup lines and alternate routes on purpose, …

Graph Theory Discrete Mathematics +2
World Cup Host Cities
World Cup Host Cities

FIFA's president crisscrossed North America by private jet during the World Cup …

Optimization Graph Theory +2
Networks
Networks

Graph theory lets you turn a real network into vertices and edges, …

Graph Theory Discrete Mathematics +2
Length of a Roll of Paper
Length of a Roll of Paper

How could you calculate the the length of a roll of paper?

Geometry Sequences +2
Resolving Forces: A Cyclist on a Hill
Resolving Forces: A Cyclist on a Hill

A cyclist climbing a hill pushes down at an angle to the …

Vectors Forces +2
Cable-Stayed Bridge
Cable-Stayed Bridge

In a cable-stayed bridge, straight cables run directly from the towers to …

Geometry Forces +2