Pre-Alg · Unit 2

Irrational Numbers

√2 and the failure of ratios

Curriculum standard — Verify stage of the Thinking Ladder

0/3 checks

Proposed answer: your proposed solution

A common error on this type of problem — diagnose the misconception.

Three pathways, one topic

Study irrational numbers at three depths

Grade/course-level problems with full understanding.

Parameters, multiple representations, proof, and modeling.

Non-routine problems and competition applications.