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Museion Original · Algebra

developing · Ages 12–15 · early secondary

Algebra as Balance

Understand why equation moves work before memorizing how.

Start the path 3 lessons · about 50 minutes
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Three connected investigations

  1. 01Equality as an InvariantRead equality as a relationship between two values and decide which moves keep that relationship true.Open
  2. 02Inverse Operations and IsolationUndo one operation on both sides, distinguish coefficients from constants, and isolate an unknown with justification.Open
  3. 03Two-Step Equations and TransferPlan reversible moves, compare valid paths, verify solutions by substitution, and model a new situation.Open

What this path asks you to reason about

  • Distinguish an expression from an equation and read equality relationally.
  • Choose equality-preserving inverse operations and explain each move.
  • Plan and verify a two-step solution in a nearby context.