The Four-Day Week File
A school board asks for a one-page synthesis from two documents in its packet.
Source A (district report): "In our 1,100-student rural district, moving to a four-day week cut transportation and substitute-teaching costs by $1.2 million over three years. State test scores were statistically flat. In a spring survey, 71 percent of parents favored keeping the schedule; the most common complaint was childcare on the off day."
Source B (independent review of 14 districts): "Elementary reading showed small but consistent gains, roughly 0.08 standard deviations; high school math showed declines of similar size. The authors estimate families paid an average of $3,400 per year in added childcare-a cost that never appears in district budgets."
1. A board member says, 'Both sources show the four-day week saves money.' Evaluate that claim.
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It depends entirely on whose budget you are counting, and the sources split on exactly that point.
- Source A measures district expenditures: transportation and substitute costs fell. On that ledger, savings are real.
- Source B measures family costs: roughly $3,400 per year in added childcare. That money is not saved; it is transferred.
So the claim is true only under an unstated assumption-that a district budget is the correct boundary for counting costs. State that boundary explicitly and the claim becomes defensible. Leave it implicit and the synthesis is misleading, because it reports a saving while omitting the offsetting expense the second source supplies.
A good synthesis sentence names the boundary: 'The schedule reduces district spending while shifting several thousand dollars a year onto families.'
2. What conclusion do the two sources jointly support about achievement?
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The narrowest joint conclusion is that effects are small and vary by grade level. Neither source reports a large change; Source A describes scores as statistically flat, and Source B reports effects around 0.08 standard deviations in both directions-elementary reading up slightly, high school math down slightly.
Note what is not jointly supported: that the four-day week 'improves achievement' (Source A shows no movement, Source B shows movement in one direction for one group and the opposite for another) or that it 'harms achievement' (elementary reading gained).
The two sources also describe different populations-one rural district versus fourteen districts-so the joint conclusion has to stay at the level of pattern, not magnitude. Saying 'results are mixed and modest, with possible grade-level differences' is the honest synthesis; anything stronger borrows precision from neither document.
3. What weakness in Source A should a careful reader flag before citing it?
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Source A has no comparison group. 'Scores were statistically flat' describes a district over three years, but scores in most districts drift as standards, tests, and cohorts change. Without a comparison to similar districts that kept five days, flat scores cannot be attributed to the schedule at all-they could reflect a statewide trend, a new curriculum, or a change in who took the test.
Source B, by contrast, reviews multiple districts, which at least allows for pattern-spotting, though it still may not be a controlled design.
Secondary cautions in Source A: the 71 percent parent approval comes from a self-selected survey, and the cost savings are reported by the district that made the change-an interested party.
The transferable habit: ask compared to what before accepting any before-and-after number.