Your task: Propose two feasible planting plans on a 10-square sketch. Compare output and unused water, then name a non-yield consideration that could reverse your recommendation.
Read counts with their units. A percentage divides a part by its named whole and multiplies by 100. A model assumption is not an observed fact.
Yield
Output per unit of cultivated land, over a specified period.
Assumption
A condition accepted for a model or argument; it needs justification before applying the result elsewhere.
01 · TRY
Does the highest yield determine the best crop?
Propose two feasible planting plans on a 10-square sketch. Compare output and unused water, then name a non-yield consideration that could reverse your recommendation.
Propose two feasible planting plans on a 10-square sketch. Compare output and unused water, then name a non-yield consideration that could reverse your recommendation. Use the supplied records and show one intermediate step.
Make a provisional claim
Loading saved evidence…
Inspect evidence and test an explanation
The investigation controls appear when your local evidence is ready.
04 · UNDERSTAND
Connect evidence and mechanism
Compare land-use choices and their constraints
Start with the question
Does the highest yield determine the best crop?
Inspect the teaching record
A fictional cooperative has 10 hectares and 30 water units. Grain uses 2 water units per hectare and yields 4 food units; vegetables use 5 and yield 8. All land and water quantities refer to one season.
This is fictional teaching evidence. It is not an observation about an actual community or economy.
Explain the mechanism
Agricultural patterns reflect physical conditions, infrastructure, institutions and markets. Yield measures output per land area, not total welfare. Resource constraints can make a seemingly productive plan infeasible. Models clarify tradeoffs but their missing costs must remain visible.
Follow the worked example
Planting all vegetables uses 50 water units, beyond 30. Six hectares of grain and four vegetables use 12 + 20 = 32, still too much. Eight grain and two vegetables use 16 + 10 = 26 and yield 32 + 16 = 48.
Challenge the first explanation
Vegetables require refrigeration and a dependable road. The supplied yield table excludes transport losses, labor, land tenure, biodiversity and household food preferences.
Make and revise your evidence
Propose two feasible planting plans on a 10-square sketch. Compare output and unused water, then name a non-yield consideration that could reverse your recommendation.
Revise your answer to “Does the highest yield determine the best crop?” using both source IDs. Separate the checked calculation from a judgment, and identify evidence that could reverse your judgment.
Name the idea
Yield: Output per unit of cultivated land, over a specified period.
Assumption: A condition accepted for a model or argument; it needs justification before applying the result elsewhere.
Extend the investigation
Independently extend the investigation “Compare land-use choices and their constraints” with a documented real dataset or scholarly source. Preserve definitions, recreate one calculation or evidence table, compare a rival explanation and report why the teaching example cannot establish the real-world conclusion.
Many farms, much land: which distribution?
Use all 13 farm-acreage bands in USDA's 2022 Census of Agriculture, national Table 9, including its matched 2017 columns. This is public aggregate economic/geographic evidence. It is not a farming experiment or advice about crop production.
Predict: Does a small share of farm operations imply a small share of land? Does a higher mean farm size establish that the typical farm grew? Name the denominator and evidence needed for each claim.
Writing is temporary; copy the report before leaving. Existing saved lesson work is unchanged.
Classification always uses total farm acreage, even when comparing harvested cropland. “Farm” follows USDA's activity/sales definition, including places that normally would meet its $1,000 agricultural-sales threshold; it is not simply a land parcel or household. Acreage does not classify family ownership, sales, profitability or market power.
Compare two denominators on the same scale
Selected bands contain 83,308 of 1,900,487 farms (4.38351%) and 536,874,535 of 880,100,848 acres (61.00148%) in the selected acreage measure. Each farm counts once in the first ratio; each acre counts once in the second. These are separate distributions, not parts to add together.
Fixed 0–100% scale. Same selected farm-size bands, two denominators.
Changed measure: a farm's total land is not all harvested cropland. Keep the acreage-size classification fixed and change the denominator before explaining how the result changes. Do not infer crop yield from an area share.
Locate the median instead of inventing it
For all 2022 farms, land/farms = 880,100,848/1,900,487 = 463.09227 acres per farm. The cumulative farm count crosses the middle within the 70–99-acre band. We can locate the median's band, not its exact acreage, from this grouped table. No midpoint or acreage is assigned to the open-ended 5,000+ band.
The other year, 2017, has 2,042,220 farms and 900,217,576 acres: mean 440.80343 acres, median band 70–99. Two cross-sections describe distributions at two times. They do not follow the same operations, identify mergers, or establish why farms entered, exited or changed size.
Inspect the complete selected source table
All-farms block only; subgroup blocks for harvested/irrigated farms are not added again. Counts and acres sum to the displayed national totals. Focus and use arrow keys on narrow screens.
2022 USDA Table 9: acreage bands, all farm operations
Farm size (acres)
Farms
Land (acres)
Harvested (acres)
Selected?
1–9
234,592
1,084,341
315,692
No
10–49
566,912
14,193,479
3,933,175
No
50–69
130,096
7,553,962
2,130,516
No
70–99
153,239
12,601,546
3,751,949
No
100–139
138,398
16,045,194
4,820,591
No
140–179
108,796
17,126,924
5,392,005
No
180–219
69,602
13,747,397
4,644,673
No
220–259
52,177
12,415,492
4,513,729
No
260–499
166,600
59,494,534
24,194,241
No
500–999
120,456
83,738,842
40,556,527
No
1,000–1,999
76,311
105,224,602
55,506,795
No
2,000–4,999
56,274
169,142,168
87,326,107
Yes
5,000 or more
27,034
367,732,367
64,241,737
Yes
Transfer: compare 2017 and 2022 at the same threshold and measure. Write one defensible distribution claim, one claim the grouped data cannot establish, and the additional regional/ownership/longitudinal evidence needed to evaluate it. National patterns do not describe every farming region or organization.
Compare with the reasoning guide
Large-acreage operations can be a small fraction of farms and a large fraction of operated land. A count-weighted view and an area-weighted view answer different questions. Changing from all farm land to harvested cropland changes the area distribution without changing how farms are grouped.
The mean rises between the two years while the median remains in the 70–99-acre band. That does not establish an unchanged median value or growth of each existing farm. Size alone does not identify corporate ownership, efficiency, monopoly power or environmental effects. A supported explanation preserves the definition, year, group boundary and denominator and treats mechanism claims as requiring additional evidence.
Sources, definitions and captured vintage
USDA NASS Table 9, printed page 14 supplies the 13 complete size bands and both years. Exact PDF downloaded October 28, 2026: totals are 1,900,487 farms in 2022 and 2,042,220 in 2017. These captured-report values are retained; older release headlines or separate annual surveys are not substituted. 2022 Census FAQ explains the farm definition.
All land in farms and harvested cropland are distinct source columns. The table does not identify ownership shares, track individual operations or supply causal estimates. Classification thresholds and coverage matter; no sampling interval or significance test is invented. Public-domain federal factual cells are attributed; no source illustration is copied. Extraction and total checks are reproducible locally, with no runtime network dependency.
Copy the farm-distribution report
Guidance exposure remains through reset in this mount and clears on reload; writing is ungraded and does not establish independent mastery.
Worked example
Planting all vegetables uses 50 water units, beyond 30. Six hectares of grain and four vegetables use 12 + 20 = 32, still too much. Eight grain and two vegetables use 16 + 10 = 26 and yield 32 + 16 = 48.
