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While looking for inspiration, I found a lot of creative illustrations of the real number system. But, I was looking for something a little different. I wanted my students to add the information.

And, for my older students, I wanted them to even discover some of the information themselves before we added it to the graphic organizer as a class.

So, I created my own real number system graphic organizer that would meet all my needs.

For my Algebra 2 students, I plan to give my students strips of numbers. Each strip will correspond to one of the subsets of the real numbers. It will not be labeled however. I want them to take these numbers and try to figure out how they nest on to the graphic organizer.

I’m hoping that they will discover for themselves that every natural number is a whole number, every whole number is an integer, etc.

I ran across this in a pile of math resources I was given. Something to think about:

I am using interactive notebooks with my Algebra 1 and Algebra 2 students. So, I plan to have students glue the real number system graphic organizer in their INBs.

I want the students to outline the boxes with colored pencils to emphasize the fact that everything inside the red box is an integer, even the whole numbers and natural numbers.

So far, I just have definitions (Frayer Model) and a few examples. Obviously, my final draft and sample notebook will be neater. And, the rational numbers and irrational numbers are only a different color because I already had some printed on colored paper.

In real life, they would either be all white or all different colors. Trying to overcome my perfectionism here…

In 2013, I used the same graphic organizer for the real number system, but we filled it out slightly differently. It felt good to be able to reuse something from last year instead of creating something entirely new from scratch!

I ended up creating another version of the real number system graphic organizer.

## Free Download of Real Number System Graphic Organizer

Real Number System Graphic Organizer (PDF) (6357 downloads)

Real Number System Graphic Organizer 2.0 (PDF) (4444 downloads)

Real Number System Graphic Organizer 2.0 (Editable Publisher File ZIP) (2508 downloads)

## Free Download of Frayer Models (6 to a Page)

You might also be interested in a graphic organizer I created for the subsets of the real numbers.

## More Activities for Teaching the Real Number System

- Real Number System Card Activity
- Always Sometimes Never Dice Activity for Real Number System
- Rational and Irrational Numbers Exploration Activity
- Real Number System Nesting Boxes
- Real Number Line Project
- Subsets of the Real Numbers Graphic Organizer
- Properties of Real Numbers Foldable
- Properties of Real Numbers Graphic Organizer
- Real Number System Graphic Organizer

Unknown

Wednesday 2nd of August 2017

You are inspiring. I

Sarah Carter (@mathequalslove)

Sunday 10th of September 2017

Thanks!

Unknown

Tuesday 6th of September 2016

I absolutely love you! Thank you so much for sharing all your great resources.

Sarah Carter (@mathequalslove)

Tuesday 6th of September 2016

You're very welcome, Kelly!

Unknown

Monday 10th of August 2015

I so love this thank you!!!

Sarah Carter (@mathequalslove)

Wednesday 9th of September 2015

You're welcome!

Anonymous

Wednesday 21st of January 2015

Great visuals. I teach 6th and have had some trouble using the Frayer models. The kids always have a really hard time with the Facts & Characteristics box. (And honestly, I do too...should I be admitting that?) Anyway, I wondered if you would share a pic of the inside of any of these models. Thanks! s.woodruff@snet.net

Anonymous

Tuesday 19th of August 2014

So would I... :)