Unit 01 · Family Guide

The Language of Mathematical Truth

Support reasoning without taking over the reasoning.

Ask, don't tell

  • What does the symbol or quantity mean?
  • Which definition or property supports that step?
  • What units belong in the answer?
  • How could you verify it independently?
  • What assumption or limitation matters?

Misconceptions to watch

  • “Move it across” instead of equivalent operations.
  • Every radical is irrational.
  • Multiplication always precedes division.
  • Conversion factors can use unequal quantities.
  • More decimal places automatically mean more accuracy.

Evidence to preserve

One corrected lesson check, one written mathematical defense, selected practice evidence, the project, mastery result, and representative reflection.