Students will notice possible examples of pi and square roots in images from the world around them, share initial questions, and create a first sketch or model that launches their investigation into how irrational numbers appear in everyday patterns and measurements.

Students will refine an investigable question about where pi or square roots appear, build a simple method for gathering evidence, test that method with sketches, measurements, photos, and number lines, and revise their explanations after peer and teacher feedback.

Students will present their irrational number investigations through a classroom gallery walk, explain where pi or square roots appear in their chosen evidence, respond to peer and teacher feedback, and reflect on one new connection and one next step.