Looking for a fun hands-on real number system activity to help students learn the difference between integers and irrational numbers?

## Activities for Visualizing the Real Numbers

### Real Number System Nesting Boxes

Build a set of DIY nesting boxes to help illustrate the real number system to students. When the integer box fits inside the rational number box, students will be able to visually see why every integer is a rational number but every rational number is not an integer.

### Real Number System Graphic Organizer

This graphic organizer attempts to capture the same illustration of the real number system as the nesting boxes with a 2D diagram.

## Real Number System Projects

### Real Number Line Project

Students must construct a number line with a specified number of natural numbers, integers that are not whole numbers,, irrational numbers, and rational numbers that are not integers.

## Activities for Classifying Real Numbers

### Real Number System Card Activity

I created this set of real number system cards several years ago to give my students much-needed practice determining which subsets of the real number system a number belongs to.

### Always Sometimes Never Dice Activity for Real Number System

I created this always sometimes never dice activity for classifying numbers according to the real number system. We completed this after sorting numbers using our Real Number System Nesting Boxes. I always hated Always, Sometimes, Never questions when I did them as a geometry student in high school. But, I decided to give it a try with my students.

### Subsets of the Real Numbers Graphic Organizer

Use this subsets of the real numbers graphic organizer to help students keep the definitions for natural numbers, whole numbers, integers, rational numbers, and irrational numbers organized.

## Rational vs Irrational Numbers

### Rational and Irrational Numbers Exploration Activity

This exploration activity will get students thinking about what happens when you perform various operations with rational and irrational numbers.

## More Activities for Teaching the Real Number System

- Real Number System Activities
- 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