Real Number System Activities
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.
Activity Solutions
Activity and worksheet solutions are available on a password-protected solution page. I do not openly post the answer keys because one of my goals as a resource creator is to craft learning experiences for students that are non-google-able. I want teachers to be able to use these activities and resources in their classrooms without the solutions being found easily on the Internet.
Please email me at sarah@mathequalslove.net for the password to the answer key database featuring all of my printable puzzles and math worksheets. I frequently have students emailing me for the answer key, so please specify in your email what school you teach at and what subjects you teach. If you do not provide these details, I will not be able to send you the password.
