Math FUNdamentals · ~60 min · Charlotte Edition

The Going Rate

The whole world is changing: some things in a heartbeat, some over millions of years. A rate is how we catch change in the act and turn it into a number. Let's read the rates of everything, from the stock market to the drifting Moon.

Reading the rates of the world…
Part 1 · The Big Idea

What is a rate?

A rate tells you how much one thing changes compared to another, almost always compared to time. Miles per hour. Dollars per share. Centimeters per year. The little word "per" is the heartbeat of every rate: it means "for each."

Here's the deep idea: almost nothing in the world holds perfectly still. The stock market, the price of milk, the level of the sea, the distance to the Moon, even your own height, they're all changing. Some change every second and are watched by millions of people. Some change so slowly that a whole human life isn't long enough to see it with the naked eye. A rate is the one tool that lets us measure change itself, no matter how fast or slow.

The pattern of every rate: amount ÷ time. How much changed, divided by how long it took. Master that one idea and you can read any rate on Earth, or off it.
Part 2 · The Recipe

Build a rate yourself

Pick an everyday situation, set the amount and the time, and watch the rate appear. The same recipe works for speed, money, water, and even a growing kid.

The Rate Builder Interactive
Rate = amount ÷ time. Change either slider and watch.
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Part 3 · The Big Board

The going rates of the world

Modern society measures and monitors an astonishing number of rates. Below are 30 of them, sorted into six domains, from financial markets to the weather over Charlotte to the slow grinding of the Earth itself. Tap a domain to filter. Every one of these numbers is a snapshot that will read differently tomorrow… or in a million years.

Real-world snapshots gathered in mid-2026 from public sources: AAA, the U.S. Bureau of Labor Statistics, the Federal Reserve (FRED), major exchanges, the National Weather Service, USGS, NASA/NOAA, and standard scientific references. Fast rates change by the second; slow rates change over geologic time. Treat all as "a moment in time," not permanent truths.

Part 4 · Fast & Slow

From a heartbeat to a continent

The rates around us span an almost unimaginable range: from a hummingbird's wings beating 50 times a second to a continent drifting the width of a fingernail in a year. Rates let us line them all up on one scale.

The Rate Spectrum Interactive
Slide from the slowest crawl in nature to the fastest rate in the universe.
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Part 5 · The Slow Lane

Rates too slow to see

Some of the most important rates in the world are invisible because they're so slow. You could stare at them your entire life and never catch them moving, yet over thousands or millions of years they reshape the whole planet, and even the sky.

The Moon is drifting away from Earth at about 3.8 centimeters per year, roughly the rate your fingernails grow. It's far too slow to notice, but scientists measure it precisely by bouncing lasers off mirrors that astronauts left on the Moon. Over a billion years, that tiny rate adds up to tens of thousands of kilometers. The same idea applies to the ground beneath your feet: continents drift a few centimeters a year, mountains rise and erode, shorelines retreat, and rocks slowly crumble through weathering. None of it is visible in a day, but all of it is happening right now, measured by patient scientists.

What's changingGoing rateHow we know
🌙 Moon drifting away~3.8 cm / yearLasers bounced off Moon mirrors measure the distance exactly.
🌎 Continents drifting~2–5 cm / yearGPS stations track plates creeping apart, about as fast as nails grow.
🌊 Sea level rising~3.4 mm / yearSatellites and tide gauges; the rate is slowly speeding up.
🌎 Shorelines receding~0.5–2 ft / yearMany beaches erode landward; varies hugely by coast.
⛰ Mountains eroding~0.1 mm / yearWhole ranges wear down over tens of millions of years.
🪨 Rock weathering~0.01–0.1 mm / yrRain, ice, and chemistry slowly crumble exposed stone.
🧒 A child growing~6 cm / yearSteady through childhood, then a fast spurt in the teen years.
💅 Fingernails growing~3.5 cm / yearAbout the same rate the Moon drifts away, a fun coincidence!
🌲 A redwood growing~30–90 cm / yrEven giant trees add height at a measurable yearly rate.
📅 Day length increasing~1.7 ms / centuryEarth's spin slowly slows; days were shorter for the dinosaurs.
The mind-bender: the Moon drifting away and your fingernails growing happen at almost exactly the same rate (~3.8 cm/year). One reshapes the night sky over eons; the other you trim every couple of weeks. Same number, wildly different stories.
Part 6 · Watch It Happen

The live change ticker

Some rates are steady enough that we can watch the totals pile up in real time. This ticker mixes the lightning-fast and the geologically slow, using real rates to estimate what's changing while you read this page.

The Live Ticker Counting up now
From dollars and water to the Moon creeping away, all based on real rates.
The magic of rates: because each has a steady "per second" speed, we can predict the total at any moment by multiplying rate × time. That's rates working as a crystal ball: for money and for the Moon.
Part 7 · Why We Watch

Monitored, and un-monitored

Modern society runs on monitored rates. Whole institutions exist just to measure how fast things change, and to act on it.

Think about how much of the world is watched. The stock market updates prices thousands of times a second, with traders and computers reacting instantly. The Consumer Price Index tracks how fast prices rise so the government can respond to inflation. The National Weather Service watches temperature, wind, and rain around the clock. The U.S. Geological Survey monitors the Catawba River west of Charlotte every few minutes, because over a million people drink that water and a fast rise could mean a flood. When a rate affects safety, money, or health, humans tend to measure it obsessively.

But countless rates change with nobody counting. The rate leaves fall in a Charlotte park. The rate a puddle evaporates after a storm. The rate a single anthill grows. These are just as real and just as measurable: we simply choose not to track them, because nothing important depends on the answer. Part of thinking like a scientist is asking: which rates around me matter enough to measure, and which are safe to ignore?

A scientist's habit: when you notice something changing, ask "how fast?" and "is anyone measuring this?" Those two questions are the start of nearly every discovery, and nearly every smart decision.
Part 8 · Rate Reader Challenge

Read the rates

Ten questions spanning the fast and the slow, the financial and the geological. Think "per"!

Rate Reader Quiz 10 questions
Correct: 0 / 0
Walk Away With This

Everything changes. Rates keep score.

From the stock market ticking by the second to the Moon drifting a fingernail's length each year, the universe never holds still. A rate, amount divided by time, is how we capture that motion as a number we can read, compare, and predict. Once you think in "per," you'll see rates everywhere: in your wallet, in the weather, in the rocks, and in the sky.