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Overlap Reduces the Total

When pieces are joined with overlap, the combined length is the sum of the parts minus the overlapping portion — and with several strips the overlaps number one fewer than the strips. The idea runs from taped lengths to multiplied strips to fraction distances. It is the first taste of inclusion-exclusion.

grade 2–4 MDNFOA Draw a DiagramIdentify Subproblems

진행 단계 (4)

2-2 1. 겹치는 부분만큼 더 줄어든다. 2.MD.B.52.MD.A.4 · foundational
3-1 2. 겹치는 만큼 줄어든다. 2.MD.B.53.OA.D.8 · core
3-1 3. 겹치는 곳은 겹치는 종이의 수보다 1 작다. 3.MD.D.83.OA.D.8 · core
4-2 4. 겹치는 만큼 줄어든다. 4.NF.B.3 · advanced