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Solve a Table or Graph Step by Step from Clues

When a table or graph has several blanks linked by clues (a total, a ratio, a difference), solve the entries you can pin down first, then use them to unlock the rest in sequence. Learners fill missing data from conditions, complete graphs from clues, and chain knowns to unknowns. It is constraint-propagation applied to data displays.

grade 2–4 Measurement & dataFractionsOperations Eliminate PossibilitiesIdentify Subproblems

Builds on: Read and Scale a Data Graph

Progression (5)

g3 1. Solve graph values step by step from clues Measurement & dataOperations · foundational
g3 2. Solve missing data from ratio or sum clues Measurement & dataFractions · core
g3 3. Fill the table by solving knowns first Measurement & dataOperations · core
g4 4. Use total and clues to fill missing bars Measurement & dataOperations · core
g5 5. Fill a table and complete a line graph from clues Measurement & data · advanced

Bridges to competition (14)

Reasoning problems that extend this idea toward competition:

Find weights from mobile balance Logic → Small-Domain Constrained Search
Find the counterfeit coin by weighing Logic → Branching State Enumeration
Order objects by weight from comparisons Logic → Small-Domain Constrained Search
Build a table to enumerate cases Logic → Small-Domain Constrained Search
Logic grid deduction table Logic → Small-Domain Constrained Search
Fill a table from conditions Logic → Small-Domain Constrained Search
Combine mixed data to complete a graph Logic → Small-Domain Constrained Search
Find cells from a window-sum rule Pattern & rule → Lattice / Grid Pattern from Small Cases
Complete a magic square Logic → Small-Domain Constrained Search
Find the value each shape stands for Logic → Small-Domain Constrained Search
Solve a table from given clues Logic → Small-Domain Constrained Search
Logic grid deduction table Logic → Small-Domain Constrained Search
Draw a table to solve Logic → Small-Domain Constrained Search
Complete the multiplication table Pattern & rule → Small-Domain Constrained Search

Leads to competition types: Branching State EnumerationLattice / Grid Pattern from Small CasesSmall-Domain Constrained Search