Real Number System Activities

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.

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

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.

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.

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.

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.