When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...

In this chapter, we look beyond the whole numbers at other numbers that are included in school mathematics in grades pre-K to 8, particularly in the upper grades. We first look at the rational numbers ...

In certain math and physics topics, I encountered a lack of sufficient exercises for students to thoroughly master the material. This document contains enough exercises that can be used in a variety ...

Mathematics students often encounter confusion when distinguishing between rational and irrational numbers. However, mastering this fundamental concept becomes straightforward once you understand the ...

I’ve included three different sizes of the same puzzle. The smaller size is only three pages and it is great if you are going to print of individual copies for students to practice with in class or at ...

A rational number can be written exactly in the form \(\frac{a}{b}\), where 𝑎 and 𝑏 are integers, while an irrational number cannot.