Skill· 10y–13y· 3 min

Algebra Explorers — Find the Mystery Number

Parent and child use balance puzzles and equation challenges to discover algebraic thinking — finding unknown values through logical deduction rather than memorised procedures. Parent observes algebraic reasoning, the variable concept, equation-solving strategies, and the transition from arithmetic thinking to algebraic thinking. This reveals whether the child understands equations as balance relationships or just as instructions to follow.

Free to do together whenever you like.

What you'll need

Pen and paper for working out equations. Optionally, a simple balance scale with objects of different weights makes the balance metaphor concrete. Small household objects of known or equal weight (coins, identical blocks) can serve as manipulatives. The activity progresses from concrete to abstract — start with physical or drawn balance puzzles, advance to symbolic equations.

How it works

The 3-step guide, with what to look for at each step, is for signed-in parents.

Visual example

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