At the start of the lesson, I ask my students if they have ever heard of weebles wobble... and they typically finish say "but the don't fall down".
Using the cube nets that are attached, I have the students put the term/terms (natural numbers, whole numbers, integers, and rational numbers) on 2 sides of the cubes. Students then define the types of numbers on two different sides of the cube. The remaining sides of the cubes are examples of the types of numbers. My students typically color the cubes, cut them out, and tape them together.
Using the pyramid net that is attached, I have the students put the term irrational numbers on two of the sides. Students then define irrational numbers on the bottom of the pyramid. The remaining sides of the pyramid are left for examples of irrational numbers.
The goal of the lesson is for the students to discover (on their own) that whole numbers, natural numbers, and integers fit inside the rational numbers cube. I also want the students to discover that irrational numbers are much different than rational numbers (which is why I used a different shape).