Triangle Cross Sum: Fill the Sides So Every Edge Shares One Total

Triangle Cross Sum game cover illustration

Generate fresh triangle numbers and locked clues, then use the remaining pool to meet all three side targets.

Read the Locked Corners First — They Already Fix Each Edge's Gap

Generate fresh triangle numbers and locked clues, then use the remaining pool to meet all three side targets. Hints find a completion consistent with current entries; New set changes data and clues.

Grades 4–6: When a Locked Corner Turns an Unknown Into Plain Subtraction

This puzzle sits between the multi-digit fluency of Grade 4 and the equation reasoning of Grade 6. Adding and subtracting whole numbers and recovering a missing addend (4.NBT.B.4, 4.OA.A.3) is the everyday skill, but the locked corners raise the stakes: once a target total and the fixed values are set, an open edge is not a slot to explore — it is a single number you subtract your way to. That is exactly the move behind 6.EE.B.7, where a constrained unknown has one value that makes the equation true. Reasoning from locked slots back to each forced edge is a concrete bridge from arithmetic facts to early algebraic thinking.

Three Skills Practiced in Triangle Cross Sum

  • target sums on three connected sides
  • finding missing addends from known totals
  • eliminating positions with shared-node constraints

Teacher and Parent Note

Have the student write how much each side still needs before moving a value. For every placement, ask them to explain why it works for both sides touching that position.