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Illustration of Functions

Functions

In mathematics, a function is a rule that relates a set of inputs to a set of possible outputs…

Reads at Pre-K Listens at Pre-K–1

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28 worksheets · answer keys · full story · quiz · Ages 3-5 · CEFR A1

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The story

The Amazing Rule Machine

Hello there. I am like a magic machine or a special rule that makes things happen. Think about a big, shiny gumball machine. You put a little coin in, and what pops out. A yummy, colorful gumball. Every single time. That’s me. I am the special rule that says, ‘When a coin goes in, a gumball comes out.’ I am always the same. When you pet a soft, fluffy kitten, it makes a happy purring sound. When you press the big red button on your favorite toy, it sings a song. I am the rule that makes sure when you do one thing, the same other thing always happens.

People have known about me for a very, very long time, even before there were big buildings or noisy cars. Long ago, in a warm, sunny place called Babylon, around 2000 BCE, some very smart people noticed me. They loved looking at numbers and stars. They saw that some numbers were like best friends. When they saw one number, another number would always pop up right next to it, like a special pattern. They saw me working my magic with their numbers. They decided I needed a name. They called me a Function. It’s a fun word, isn’t it. Function. I am the special rule that connects one thing to another thing, every single time.

Now that you know my name, you can see me everywhere you look. I am in the kitchen when you help bake delicious cookies. You put in the flour, the sugar, and the eggs, and I am the rule that helps turn them into warm, sweet cookies. I am in your fun games, too. When you play a game, the rule is you take turns. That's me. I am a Function. I help make the big world make sense. I help you build tall towers with your blocks and play your favorite games. I am your special rule, always here to help you create amazing things.

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About

In mathematics, a function is a rule that relates a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Implicit Use in Babylonian Astronomy 499 BCE
Term 'Function' Coined by Leibniz 1673 CE
Formalization by Euler 1748 CE
Modern Definition by Dirichlet 1837 CE

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What did the people in Babylon call the special rule?

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Functions
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