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Input-Output Tables | 5th Grade Video
What's My Rule, you ask? This song will show you how you can use input/output tables and number expressions to create number patterns following a given rule. The NUMBEROCK crew are given a series of numbers as they make predictions about which numbers will come next if the pattern continues as for each table the find the answer to, "What's my Rule?".
Input-Output Song Lyrics:
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.
We're in a hot air balloon going up to fly;
a table shows our time and height in the sky.
We start at three meters off the ground;
at one minute, we're six meters up, staring down.
At two minutes, we’re up nine meters high.
What’s the “rule" that shows our place in the sky?
If you multiply any input by three,
and then add three, you get the output, you see.
In goes three, out comes twelve;
in goes four, out comes fifteen.. swell!
In goes five, out comes eighteen.
The rule’s "times three, add three," - and the view is pristine.
I have a function machine, the best you’ve ever seen.
I put in a twelve, and out came a three;
I put in eighteen, and out came five.
Then thirty 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,
and then subtract one, you’ll get the output, you see.
In goes nine, a two will come out for sure;
In goes fifteen, and you know out will come a four.
This input output table has a “rule."
It’s "divide by three, subtract one," - and that’s pretty cool.
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.”
This song targets TEKS and Common Core learning standards from 4th Grade. Look into the relevant standards here, or dig deeper into Function mathmatics here.
If you are interested in getting ideas on how to plan a robust standards-aligned Input Output Tables (two steps) lesson, we recommend checking out Instructure's recommendations for common core standards 4.OA.5. These pages help break down standard language, lay out the grade-appropriate level of rigor for each concept, and offer a variety of suggestions for activities (lesson seeds) that help students achieve their learning targets.
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