Pre-Alg · Unit 2

Proof of Irrationality

Why √2 cannot be a fraction

Curriculum standard — Explain stage of the Thinking Ladder

Learn See Try Explain Verify Challenge Transfer Master

Explain your reasoning

True understanding shows in explanation. Write why each step is valid — not just what you did, but why it is justified. This is the EXPLAIN stage: communicating mathematics precisely.

Three pathways, one topic

Study proof of irrationality at three depths

A · School Mastery

Grade/course-level problems with full understanding.

Explore B · Advanced Mathematics

Parameters, multiple representations, proof, and modeling.

Explore C · Competition Mathematics

Non-routine problems and competition applications.

Explore

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