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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) 26 ideas Clear filters
Reading a Wind Turbine Like a Sine Graph
Reading a Wind Turbine Like a Sine Graph

Track the height of a single turbine blade tip as it spins, …

Modelling Trigonometric Functions +3
One Graph, Two Stories: the Power of Log Scales
One Graph, Two Stories: the Power of Log …

Plot a pandemic, a YouTube channel or world population and you get …

Data Analysis Exponential Models +3
The Red Bull Lorry Jump
The Red Bull Lorry Jump

A mountain biker jumps his bike through a closing gap between two …

Active Noise Cancelling
Active Noise Cancelling

How active noise-cancelling headphones work, and why they can't cancel everything.

Trigonomtery
Fidget Spinner Spin Time
Fidget Spinner Spin Time

Why fidget spinners slow down and eventually stop spinning

Data Collection Rotational Motion +3
Red Bull Rampage and Extreme Sports Ramps
Red Bull Rampage and Extreme Sports Ramps

The mathematics behind skateboard, BMX, and mountain bike ramps

Optimization Projectile Motion +3
Swiss Shooting Range Over a Wall and a Highway?
Swiss Shooting Range Over a Wall and a …

A unique Swiss shooting range where shooters fire over a protective wall

Optimization Trigonometry +3
Attaching a water hose sprinkler to a speaker
Attaching a water hose sprinkler to a speaker

A vibrating speaker with a water hose taped to it turns a …

Physics Cymatics +2
Day Length and the Equation of Time
Day Length and the Equation of Time

Daylight length follows a sine curve almost perfectly — almost. This explores …

Climate Science Astronomy +2
Daylight Hours
Daylight Hours

There are many ways to explore trigonometry in this classic problem

Climate Science Astronomy +2
A Ferris Wheel
A Ferris Wheel

It's a classic example but you can put your own twist on …

Circular Motion Trigonometric Functions +2
The Waterfall Swing
The Waterfall Swing

The waterfall shuts off just before the rider swings through it — …

Projectile Motion Physics +2
Sinusoidal Functions and Temperature
Sinusoidal Functions and Temperature

Look beyond the seasonal differences.

Data Analysis Climate Science +2
Bezier Curves and Design/Typography
Bezier Curves and Design/Typography

The letters on this screen are built from a handful of curves …

Computer Graphics Parametric Equations +2
Why Does the Piston Pause at the Top?
Why Does the Piston Pause at the Top?

As a wheel rotates at constant speed, a connected piston moves back …

Forces Applied Engineering +2
CO2 Seasonal Variation
CO2 Seasonal Variation

Explore the seasonal variation in the context of climate change

Climate Science Climate Modeling +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
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
The Dice Extinction Experiment
The Dice Extinction Experiment

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

Decay Calculus +2
Time to Fall
Time to Fall

Drop an object from various heights and plot height versus time to …

Physics Kinematics +2