Input Output Tables Song | 4th Grade | Finding the Rule of A Function

We’re in a hot air balloon going up to fly;
a table shows our time and height in the sky. At one minute, We’re three meters off the
ground; at two minutes, We’re six meter’s up, staring
down. At three meters, We’re up nine meters high. What’s the “rule” that shows our place in
the sky? If we multiply any input (the time) by three,
we’ll get the output (the height); so that’s the “rule,” you see. In goes four, out comes twelve;
in goes five, out comes fifteen.. swell! In goes six, out comes eighteen. The “rule” is “times three,” and the view
is pristine. What’s happening between the in and the
out? We can always find out without any doubt. Make an educated guess, and test it out,
’til you find out what the “rule” is all about. I had a function machine, the best one ever
seen. I put in a nine, and out came a three;
I put in fifteen, and out came five. Then, twenty-seven went in, and out came nine. There’s only one thing I want to know at
this junction. What on earth is my machine’s function? If you divide any input by three,
You’ll get the output; so that’s the “rule,” you see. In goes six, out comes two, for sure;
in goes twelve, and you know out will come four. This input output table has a “rule.” It’s “divide by three.” Man, that’s pretty cool. What’s happening between the in and the
out? We can always find out without any doubt. Make an educated guess, and test it out,
’til you find out what the “rule” is all about. When there are two sets of values, and they
share a mathematical relationship, there’s a function
there. And we can use our mind – a mathematical tool
– to find and describe the relationship, called
a “rule.” What’s happening between the in and the
out? We can always find out without any doubt. Make an educated guess, and test it out,
’til you find out what the “rule” is all about. What’s happening between the in and the
out? We can always find out without any doubt. Make an educated guess, and test it out,
’til you find out what the “rule” is all about.