Build-the-Greatest-Sum
place value · addition · addition algorithm with place value
Addition Algorithm
Build-the-Greatest-Sum is a Grade 4 addition game that makes place-value decisions the heart of the challenge. Players draw digits one at a time and secretly choose where to place each one in an addition form. Once all positions are filled, they calculate the sum and compare results, so early choices about hundreds, tens, and ones can determine the outcome.
Use it in a small group when students need multi-digit addition practice paired with strategic number sense. Ask players to explain where they hoped high or low digits would appear and which placements had the greatest effect on the final sum. Create a free Find a Math Game account to generate teacher-ready lesson support for Build-the-Greatest-Sum. Free accounts include 3 lifetime lesson generations and no credit card.
- Grades:
- 4
- Players:
- 2 or more players
- Materials:
- cards, paper, pencil
- Classroom use:
- small group
Standards alignment
Official Rules
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Original Printable
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