Blog
Latest Articles
157 articles tagged "Stage 5"
Drawing the Line: How Linear Relationships Power the World
Linear relationships are more than y = mx + b on the blackboard—they help us predict phone battery life, scale recipes, and even set ride-share fares. Dive into the history and real-world magic of these straight lines.
Read article →
When John Snow Used Dots to Beat Cholera: The Birth of Data Analysis
Discover how a simple dot map by 19th-century physician John Snow became a data analysis milestone. We’ll explore its surprising history, everyday applications, and tips to sharpen your analytical skills.
How Indices Power pH Tests, Compound Interest and More
Indices aren’t just about x² and x³: they’re the secret behind pH scales, earthquake magnitudes and growing your savings.
Ratios and Rates: From Ancient Tablets to Your Kitchen
Discover how ratios and rates evolved from ancient Babylonian tablets to everyday situations like cooking and driving. This post explores their surprising history, real-world applications, and a common misconception that trips students up.
Why Maps Lie: The Geometry of Area on Our World
Explore how measuring area on a curved Earth led to distorted maps, the math behind equal-area projections, and why getting area right matters in everything from land surveys to climate science.
How Eratosthenes Used Angle Relationships to Measure the Earth
Discover how simple angle rules helped Eratosthenes estimate Earth's size, where you'll spot these angle relationships in solar panels, architecture and surveying—and clear up common mix-ups along the way.
The Myth of Linear Weight Loss: Lessons in Linear Relationships
We love straight-line graphs, but thinking weight loss (or many other processes) is perfectly linear can trip us up. Explore how linear relationships work—and when they don’t.
The Power of Exponents: How Indices Shape Compound Interest
Learn how exponents — or indices — revolutionised calculations from Napier’s early work to your bank’s compound interest, and see how they guide growth models and decay processes in everyday life.
When V minus E plus F equals 2: The Hidden Rule of Polyhedra
Discover the surprising rule V - E + F = 2 that binds every convex polyhedron. From ancient bridges to modern 3D printing, this geometric gem pops up in the most unexpected places.
Why Coin Tosses Don’t Know Their Past: Busting the Gambler’s Fallacy
Think the deck gets “due” for a win? That’s the gambler’s fallacy—believing random events have memory. Let’s see where it came from and how to dodge this trap in real life.
Flipping Rates: How Inverse Ratios Trick You Daily
Discover how switching between rates—like mpg and L/100 km—can totally change what those numbers are telling you, and why understanding ratios matters more than you think.