Bounds

Ohio's funding formula is written in floors and ceilings: a district is funded for at least one EMIS employee, its capacity percentage is capped, its guarantee cannot fall below zero. There are 38 such bounds in the model, and for any given district most of them do nothing at all. This is the census of which ones actually decide an amount, and for how many of the state's 609 districts.

38 bounds, and who is on each Contents

One bound decides the amount for 554 of Ohio's 609 districts, and one of the 38 decides it for none. Ranked by districts decided, most first. Each row is a floor, ceiling or clamp in the funding formula, marked at the number of districts for which the bound — not the quantity it bounds — decides the amount. Rows out of fewer than all 609 say so. The scale is logarithmic because the two ends of this census are 554 districts and 1, and on a linear axis the 6 smallest would each be under 1% of its length.

Logarithmic scale, from 554 districts down to 1, with the bound at none drawn at its floor.EMIS support heldat oneClawbackthreshold: 20,not 10%Transport shareat the 50% floorSpecial edtransport at 50%floorFiscal supportheld at twoGiftedcoordinatorunits, floorTransport onmiles, not ridersOtheradministratorsheld at twoCapacity aid endsat median wealthThe guaranteeitselfBuilding supportheld at one eachCounselors heldat oneWellness staffheld at fiveNo density aid at28+ riders/sq miNo efficiencyadjustment below1.09-12 giftedspecialists,floorNo wealth-tieraid under index0.8Special teachersheld at sixFormulatransitionsupplementMinimum stateshare of basecostCurrentenrollment overaverageK-8 giftedspecialists,floorSize-banded pay,over 4,000 pupilsCapacity aidphased in to 600Efficiencyadjustment at 15%capSize-banded pay,under 500 pupilsLocal capacityrate capped at2.5%Transportation'sown guaranteeClawback largerthan theguaranteeCurrent incomeunder averageCurrent valuationunder averageNo capacity aidunder 200 pupilsFiscal supportcapped at 35Giftedcoordinatorunits, ceilingBuilding supportcapped at 3 eachPoverty countcapped atenrollmentGuarantee baseheld at zeroLeadershipsupport held atonecannot bindof 604of 563of 604of 604of 604of 604of 43None110100Districts the bounddecides (log scale)None110100
Logarithmic scale, from 554 districts down to 1, with the bound at none drawn at its floor.EMIS support held at oneClawback threshold: 20,not 10%Transport share at the50% floorSpecial ed transport at50% floorFiscal support held attwoGifted coordinator units,floorTransport on miles, notridersOther administrators heldat twoCapacity aid ends atmedian wealthThe guarantee itselfBuilding support held atone eachCounselors held at oneWellness staff held atfiveNo density aid at 28+riders/sq miNo efficiency adjustmentbelow 1.09-12 gifted specialists,floorNo wealth-tier aid underindex 0.8Special teachers held atsixFormula transitionsupplementMinimum state share ofbase costCurrent enrollment overaverageK-8 gifted specialists,floorSize-banded pay, over4,000 pupilsCapacity aid phased in to600Efficiency adjustment at15% capSize-banded pay, under500 pupilsLocal capacity ratecapped at 2.5%Transportation's ownguaranteeClawback larger than theguaranteeCurrent income underaverageCurrent valuation underaverageNo capacity aid under 200pupilsFiscal support capped at35Gifted coordinator units,ceilingBuilding support cappedat 3 eachPoverty count capped atenrollmentGuarantee base held atzeroLeadership support heldat onecannot bindof 604of 563of 604of 604of 604of 604of 43None110100Districts the bound decides(log scale)None110100
Logarithmic scale, from 554 districts down to 1, with the bound at none drawn at its floor.EMIS support held at oneClawback threshold: 20, not 10%Transport share at the 50% floorSpecial ed transport at 50% floorFiscal support held at twoGifted coordinator units, floorTransport on miles, not ridersOther administrators held at twoCapacity aid ends at median wealthThe guarantee itselfBuilding support held at one eachCounselors held at oneWellness staff held at fiveNo density aid at 28+ riders/sq miNo efficiency adjustment below 1.09-12 gifted specialists, floorNo wealth-tier aid under index 0.8Special teachers held at sixFormula transition supplementMinimum state share of base costCurrent enrollment over averageK-8 gifted specialists, floorSize-banded pay, over 4,000 pupilsCapacity aid phased in to 600Efficiency adjustment at 15% capSize-banded pay, under 500 pupilsLocal capacity rate capped at 2.5%Transportation's own guaranteeClawback larger than the guaranteeCurrent income under averageCurrent valuation under averageNo capacity aid under 200 pupilsFiscal support capped at 35Gifted coordinator units, ceilingBuilding support capped at 3 eachPoverty count capped at enrollmentGuarantee base held at zeroLeadership support held at onecannot bindof 604of 563of 604of 604of 604of 604of 43None110100500Districts the bound decides (log scale)None110100500
The values
  • EMIS support held at one: 554 of 609 — R.C. 3317.011(F)(5)(b)
  • Clawback threshold: 20, not 10%: 499 of 609 — R.C. 3317.019(C)(1)
  • Transport share at the 50% floor: 434 of 604 — R.C. 3317.0212(E)(1)(c)(ii)
  • Special ed transport at 50% floor: 411 of 563 — R.C. 3317.0212(E)(1)(c), as applied to ALI 200502
  • Fiscal support held at two: 372 of 609 — R.C. 3317.011(F)(4)(b)(i)
  • Gifted coordinator units, floor: 370 of 609 — R.C. 3317.051(A)(1)(a)
  • Transport on miles, not riders: 350 of 604 — R.C. 3317.0212(E)(1)(c)
  • Other administrators held at two: 328 of 609 — R.C. 3317.011(F)(3)(c)
  • Capacity aid ends at median wealth: 304 of 609 — R.C. 3317.0217(B)(4)(a)(i)
  • The guarantee itself: 294 of 609 — R.C. 3317.019(A)(1)
  • Building support held at one each: 291 of 609 — R.C. 3317.011(G)(2)(c)(i)
  • Counselors held at one: 278 of 609 — R.C. 3317.011(E)(1)(b)
  • Wellness staff held at five: 276 of 609 — R.C. 3317.011(E)(3)(b)
  • No density aid at 28+ riders/sq mi: 212 of 604 — R.C. 3317.0212(H)(1)
  • No efficiency adjustment below 1.0: 198 of 604 — R.C. 3317.0212(F)(3)(c)
  • 9-12 gifted specialists, floor: 187 of 609 — R.C. 3317.051(A)(1)(c)
  • No wealth-tier aid under index 0.8: 171 of 609 — R.C. 3317.0217(C)(4)(a)
  • Special teachers held at six: 166 of 609 — R.C. 3317.011(D)(2)(b)-(c)
  • Formula transition supplement: 144 of 609 — H.B. 110 Section 265.225, extended by H.B. 96
  • Minimum state share of base cost: 138 of 609 — R.C. 3317.017(C)
  • Current enrollment over average: 105 of 609 — R.C. 3317.02(C)
  • K-8 gifted specialists, floor: 101 of 609 — R.C. 3317.051(A)(1)(b)
  • Size-banded pay, over 4,000 pupils: 78 of 609 — R.C. 3317.011(A)(10)
  • Capacity aid phased in to 600: 68 of 609 — R.C. 3317.0217(B)(4)(b)(ii)-(iii)
  • Efficiency adjustment at 15% cap: 61 of 604 — R.C. 3317.0212(F)(3)(a)
  • Size-banded pay, under 500 pupils: 46 of 609 — R.C. 3317.011(A)(10)
  • Local capacity rate capped at 2.5%: 40 of 609 — Fixed by construction: the ceiling is stated against a rank — R.C. 3317.017(A)(4)(d)(i)
  • Transportation's own guarantee: 38 of 609 — R.C. 3317.019(A)(2)
  • Clawback larger than the guarantee: 22 of 43 — R.C. 3317.019(C)(2)
  • Current income under average: 12 of 609 — R.C. 3317.017(A)(2)(a)
  • Current valuation under average: 7 of 609 — R.C. 3317.017(A)(1)(a)
  • No capacity aid under 200 pupils: 5 of 609 — R.C. 3317.0217(B)(4)(a)(ii)
  • Fiscal support capped at 35: 3 of 609 — R.C. 3317.011(F)(4)(b)(ii)
  • Gifted coordinator units, ceiling: 3 of 609 — R.C. 3317.051(A)(1)(a)
  • Building support capped at 3 each: 2 of 609 — R.C. 3317.011(G)(2)(c)(ii)
  • Poverty count capped at enrollment: 1 of 609 — the department's DPIA sheet; R.C. 3317.022(A)(4) states no cap
  • Guarantee base held at zero: 1 of 609 — R.C. 3317.019(A)(1)
  • Leadership support held at one: 0 of 609 — R.C. 3317.011(F)(6)(c)

The two ends of the chart, and the 5 family totals below, are pinned in the site's figure register and quoted by the corpus node for the plan itself — which is where a claim about the whole plan is answered for, this page having no node of its own to bind it to.

What counts as a bound, and what "operative" means Contents

A bound here is a place where the statute takes a maximum or a minimum — a floor, a ceiling, or a clamp to a range — rather than computing straight through. R.C. 3317.011(F)(5)(b) funds "one EMIS support employee, or the district's enrolled ADM divided by one thousand, whichever is greater": that whichever is greater is one bound.

A bound is operative for a district when it is the side that wins. For a district with 400 pupils the EMIS floor is operative, because one employee is more than 0.4; for a district with 4,000 it is not, and the bound is present in the arithmetic and decides nothing. The count beside each bound is how many districts it decides something for, and it is not a measure of how much money moves — a bound can be operative for five hundred districts and be worth a few thousand dollars in each.

This is the FY2027 model as this site runs it, over 609 districts. It counts the side a provision produces, so a district exactly on a bound is counted as being on it.

Where the bounds are Contents

The five parts of the formula do not carry equal numbers of edges. Base cost holds 13 of the 38 on its own — the staffing ratios of R.C. 3317.011 are written as a minimum apiece, so each element of the base cost brings its own floor — while Local capacity has 4.

FamilyBoundsShare
Base cost 13 34%
Categoricals 9 24%
Transportation 7 18%
Guarantee 5 13%
Local capacity 4 11%
Every family 38 100%

The bound that cannot bind Contents

Leadership support held at one (R.C. 3317.011(F)(6)(c)) is operative for no district in the state, and cannot be. It is a floor beneath a quantity that is never smaller than it — so it is written into the statute, it is modeled here, and it decides nothing. The chart above draws it at the floor of the scale rather than dropping it: a bound with no force is a finding.

The bounds that never have Contents

None. Every bound that can bind does bind, somewhere in the state, for at least one district. The thinnest margins are Poverty count capped at enrollment and Guarantee base held at zero, each of which is the operative term for exactly one district — which is the whole of the difference between a provision that does nothing and a provision that does something.

The census Contents

Every bound the model applies, the provision it comes from, and the number of districts it is the operative term for. The last column is not always 609: a bound inside the transportation formula can only be operative for a district that formula runs for, and the same is true of the clawback. Reading a count against the wrong denominator is the mistake this column exists to prevent.

BoundProvisionDistrictsOut of
Base cost — 13 bounds
EMIS support held at one R.C. 3317.011(F)(5)(b) 554 609
Fiscal support held at two R.C. 3317.011(F)(4)(b)(i) 372 609
Other administrators held at two R.C. 3317.011(F)(3)(c) 328 609
Building support held at one each R.C. 3317.011(G)(2)(c)(i) 291 609
Counselors held at one R.C. 3317.011(E)(1)(b) 278 609
Wellness staff held at five R.C. 3317.011(E)(3)(b) 276 609
Special teachers held at six R.C. 3317.011(D)(2)(b)-(c) 166 609
Current enrollment over average R.C. 3317.02(C) 105 609
Size-banded pay, over 4,000 pupils R.C. 3317.011(A)(10) 78 609
Size-banded pay, under 500 pupils R.C. 3317.011(A)(10) 46 609
Fiscal support capped at 35 R.C. 3317.011(F)(4)(b)(ii) 3 609
Building support capped at 3 each R.C. 3317.011(G)(2)(c)(ii) 2 609
Leadership support held at one — cannot bind R.C. 3317.011(F)(6)(c) 0 609
Categoricals — 9 bounds
Gifted coordinator units, floor R.C. 3317.051(A)(1)(a) 370 609
Capacity aid ends at median wealth R.C. 3317.0217(B)(4)(a)(i) 304 609
9-12 gifted specialists, floor R.C. 3317.051(A)(1)(c) 187 609
No wealth-tier aid under index 0.8 R.C. 3317.0217(C)(4)(a) 171 609
K-8 gifted specialists, floor R.C. 3317.051(A)(1)(b) 101 609
Capacity aid phased in to 600 R.C. 3317.0217(B)(4)(b)(ii)-(iii) 68 609
No capacity aid under 200 pupils R.C. 3317.0217(B)(4)(a)(ii) 5 609
Gifted coordinator units, ceiling R.C. 3317.051(A)(1)(a) 3 609
Poverty count capped at enrollment the department's DPIA sheet; R.C. 3317.022(A)(4) states no cap 1 609
Transportation — 7 bounds
Transport share at the 50% floor R.C. 3317.0212(E)(1)(c)(ii) 434 604
Special ed transport at 50% floor R.C. 3317.0212(E)(1)(c), as applied to ALI 200502 411 563
Transport on miles, not riders R.C. 3317.0212(E)(1)(c) 350 604
No density aid at 28+ riders/sq mi R.C. 3317.0212(H)(1) 212 604
No efficiency adjustment below 1.0 R.C. 3317.0212(F)(3)(c) 198 604
Efficiency adjustment at 15% cap R.C. 3317.0212(F)(3)(a) 61 604
Transportation's own guarantee R.C. 3317.019(A)(2) 38 609
Guarantee — 5 bounds
Clawback threshold: 20, not 10% R.C. 3317.019(C)(1) 499 609
The guarantee itself R.C. 3317.019(A)(1) 294 609
Formula transition supplement H.B. 110 Section 265.225, extended by H.B. 96 144 609
Clawback larger than the guarantee R.C. 3317.019(C)(2) 22 43
Guarantee base held at zero R.C. 3317.019(A)(1) 1 609
Local capacity — 4 bounds
Minimum state share of base cost R.C. 3317.017(C) 138 609
Local capacity rate capped at 2.5% R.C. 3317.017(A)(4)(d)(i) 40 609
Current income under average R.C. 3317.017(A)(2)(a) 12 609
Current valuation under average R.C. 3317.017(A)(1)(a) 7 609

What this census does not count Contents

Steps and brackets are not bounds. A schedule that pays one rate below a threshold and another above it is a piecewise function, not a maximum, and a district is always in exactly one of its pieces. The capacity tiers of targeted assistance are the largest example: they are in the formula, they change what a district is paid, and no row above names them.

Prorations are not bounds either. Where an appropriation is insufficient the statute scales every payment by a common factor; that is a multiplier applied to everyone, not a term that wins for some districts and loses for others.

And a count of districts is not a count of dollars. The ranking above says how often a bound is the deciding term, not what turns on it. The one place where those two come apart most sharply is the guarantee, which is operative for roughly half the state and carries about an eighth of the money — see who a change reachesfor who it holds still, and what a change does for what moving a lever costs.