The booklet is designed for students to use after they have an understanding of rational numbers. If there are rational numbers, or numbers that can be written as a ratio, then there must be numbers that cannot be written as a ratio (irrational numbers). I find that students can deduce whether numbers are rational or irrational by asking themselves, “can this number be written as a ratio?” However, once students begin thinking about roots, decimals, fractions (etc) all at once they tend to become overwhelmed. These graphic organizers help students organize their thinking and categorize their learning. They serve as a great reference tool for studying as well as spiral reviewing later in the school year. I typically culminate my real numbers unit with this foldable after we’ve reviewed integers, whole numbers, fractions, and decimals and learned about square roots, cube roots, exponents, and scientific notation. While we’ve already visited the Venn Diagram illustration on the cover of this foldable, it is a great visual for students to see how we’ve expanded upon our learning of rational numbers. Check out my rational numbers foldable to see where we’ve already utilized this! I use this when teaching 8.NS.1.
*This is also part of a Classifying Rational and Irrational Numbers Interactive Notebook Bundle*