Learning Goals
Students will be able to identify irrational numbers such as pi and square roots in real-world images, models, and measurements and explain why they are not rational numbers.
Students will be able to locate and approximate irrational numbers such as pi and square roots on a number line using rational approximations.
Students will be able to analyze and justify how irrational numbers behave when added to or multiplied by rational numbers using examples from their investigations.
Students will be able to document an investigation of where pi or square roots appear in the world around them by selecting evidence, recording observations, and revising explanations after feedback.
Products
Irrational Numbers Investigation Notebook
Each student compiles a research-style notebook showing one focused question, investigation notes, number line work, evidence from images or measurements, and a final explanation of where an irrational number appears. The notebook must include revisions from teacher feedback and a brief reflection on what the evidence supports.
Irrational Numbers Gallery Walk Investigation Poster
Teams create a formal poster for the gallery walk that synthesizes each member’s evidence into one shared claim about how irrational numbers appear in the world. The poster includes labeled visuals, a method note, approximations, conclusions, limitations, and at least one question that emerged from conflicting or surprising findings.
No rubric has been generated yet.