Magnitude Of Number: Where Does 1 Billion Go?

Explore magnitude of number by trying to determine where 1 billion should go on a number line from 0 to 1 trillion based on a Mark Chubb Tweet.

 

Developing an understanding of magnitude is so important for students to build number sense, yet many students can find this to be a challenge. 

One of the biggest problems with magnitude is our inability to relate large quantities to other quantities and visualize them spatially on a number line.

What do I mean by large quantities? Well, that depends on the learner.

For a student in Kindergarten, large quantities might mean numbers greater than 19. 

For a student in middle school, that might mean numbers larger than 10,000. 

What numbers do you struggle to visually relate and compare to one another? In this Math Is Visual Prompt, we’re going to borrow an idea that Mark Chubb shared on Twitter a while back:


In this Math Is Visual Prompt, students are challenged to determine where 1 billion goes on a number line from 0 to 1,000,000,000,000 with some animations building off of what Graham Fletcher had done in one of his talks recently. 

It’s harder than it looks!

As always, the visuals provided as a consolidation are useful AFTER students are given the opportunity to work with these ideas concretely and visually after consolidating in the classroom through student work.

Let’s get started…

 

Sparking Curiosity

In the first portion of the animation video, you give students some time to think about where 1 billion should go on the number line from zero to 1 trillion:

 

Where does 1 billion go on the number line?.007 spark

 

Then, I suggest following Graham Fletcher’s lead and getting kids to stand up (or maybe use a “thumbs up”) and then they can sit down (or “thumbs down”) to represent the point at which they believe the dot is at the 1 billion mark of the number line.

 

Where does 1 billion go on the number line? - DOT MOVING GIF

 

Have students convince their neighbours. 

Do you agree with your neighbour? Why or why not? 

 

The Reveal

Many students (and adults) are surprised when they realize that the dot is almost touching the hashmark where zero is on the far left of the number line!

 

Where does 1 billion go on the number line?.016 act 3 dot

 

That is because 1 billion is 1 one-thousandth of 1 trillion!

 

Where does 1 billion go on the number line?.018 act 3 zoomed in

 

Pretty neat!

The best part of this idea is trying to think about what is the “zero to 1 trillion” number line for YOUR students or children at home? 

Is it 0 to 20 for a pre-schooler/kindergartener? 

Is it 0 to 10,000 for a middle schooler?

Where about does their understanding of magnitude break down? Let’s work on where they are at and push them a little further each day.

Did you use this in your classroom or at home? How’d it go? Post in the comments!

Math IS Visual. Let’s teach it that way.

kylepearce3

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