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Unit 2 of 18
Rational & Irrational Numbers
Completeness of the real line.
Every topic follows the curriculum standard
Learn→See→Try→Explain→Verify→Challenge→Transfer→Master
Topics in this unit
4 topics. Each card opens a full topic workspace and supports all eight learning actions.
Rational Numbers
Ratio structure everywhere
Irrational Numbers
√2 and the failure of ratios
Proof of Irrationality
Why √2 cannot be a fraction
Three-pathway connections
Study this unit at three depths — current-grade mastery, advanced thinking, and competition mathematics.