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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) 20 ideas Clear filters
Why Won't My Phone Charge the Last 20%?
Why Won't My Phone Charge the Last 20%?

Charging races to 80% and then crawls. Collect your own phone's charging …

Data Collection Modelling +3
One Student Comes to School With Flu
One Student Comes to School With Flu

How many people catch it, and when is the worst week? Split …

Data Collection Modelling +3
How Fast Can You Fall?
How Fast Can You Fall?

A skydiver doesn't speed up forever — the air pushes back harder …

Modelling Physics +3
How Much Stone?
How Much Stone?

How would you model this? - Explore the mathematical principles and create …

Applied Calculus Bridge Engineering +2
How Much Carbon Is Stored in a Tree?
How Much Carbon Is Stored in a Tree?

A growing tree locks carbon into its wood. Model the trunk as …

3D Geometry Measurement +2
How Much Steel?
How Much Steel?

What if you varied the angle? - Explore the mathematical principles and …

Applied Calculus Bridge Engineering +2
Distance Covered by Athletes
Distance Covered by Athletes

What are the mathematics of tracking athletes? - Explore the mathematical principles …

Data Analysis Sports Mathematics +2
Profit and Loss Optimisation
Profit and Loss Optimisation

Develop cost functions and explore the profits.

Optimization Business Mathematics +2
The Lifeguard Problem
The Lifeguard Problem

A classic problem with many personal takes - Explore the mathematical principles …

Optimization Physics +2
Explore More Interesting Area Calculations
Explore More Interesting Area Calculations

How would you approach this? - Explore the mathematical principles and create …

Geometry Area Calculation +2
Minimum-Cost Packaging
Minimum-Cost Packaging

A box needs a fixed volume, but the material for the lid …

Optimization Calculus +2
Optimisation
Optimisation

A soda can or a classic problem from 2014 Exams - Explore …

Optimization Calculus +2
Brachistochrone and Tautochrone curves
Brachistochrone and Tautochrone curves

Which ramp shape gets a skier to the bottom fastest? Use a …

Optimization Physics +2
Length of a Curve
Length of a Curve

Any curve, research the rule and show you understand it.

Geometry Arc Length +2
Volumes of Revolution
Volumes of Revolution

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

3D Geometry Calculus +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
Optimising Fences
Optimising Fences

Another classic problem you could consider for your own garden.

Optimization Calculus +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 Bridge
Modelling a Bridge

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

Bridge Engineering Cable Geometry +2