Blog
Latest Articles
42 articles tagged "Algebra"
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 →
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 Negatives Matter: Integer Math from Debts to Digital
Dive into the surprising story of integers—from ancient ledgers treating negatives as debts to your phone’s calculations—and avoid common sign mistakes.
From Spice Blends to Symphony: The Surprising Role of Ratios
Ratios are everywhere—from mixing the perfect spice rub to tuning a guitar string, they shape our world in subtle ways. Discover how these comparisons underpin cooking, music and more—and how to avoid common pitfalls.
The Exponential Truth: How Indices Shape Our Scales
Discover how the humble index (or exponent) powers everything from earthquake ratings to sound levels—and why you’re already using them every day.
Why Negative Exponents Are Like Financial Debt
Discover how negative indices (exponents) work like debts in maths and finance, why they weren’t invented to torment students, and where you’ll bump into them in everyday life.
When Linear Relationships Make –40 the Same in Celsius and Fahrenheit
Discover how a simple linear equation ties Celsius and Fahrenheit scales together—leading to the surprising fact that –40° is equal in both—and why straight-line maths turns up everywhere from pay cheques to map reading.
Ancient Math Meets Modern Tech: How Diophantine Equations Power Your Gadgets
From ancient Greek manuscripts to your smartphone, Diophantine equations underlie everything from scheduling puzzles to encryption algorithms, showing how integer solutions power modern tech.
Indices: How Powers Shape Sound, Growth & Money
Dive into the world of indices and discover how exponents power musical octaves, compound interest and bacterial growth.
How Completing the Square Connects Parabolas and Circles
Discover how the familiar algebra trick of completing the square does more than just tame quadratics—it unlocks the geometry of circles and shifts your whole perspective on graphs.