New Math: Division & Multiplication Problems

July 25, 2017

By Jack Roberts
MHSAA Executive Director 

This is the second part in a series on MHSAA tournament classification, past and present, that will be published over the next two weeks. This series originally ran in this spring's edition of MHSAA benchmarks.

High school tournament classifications went viral before there was social media and most of us knew what “viral” meant.

Much as a virus infects computers today or has created epidemics of disease around the world for centuries, high school tournament classification – once introduced – tends to spread uncontrollably. Once started, it tends to keep expanding and rarely contracts.

While we are still some distance from providing every team a trophy as a result of expanding high school tournament classification across the country, there is criticism nevertheless that we are headed in that direction – a philosophy which is supposed to exist only in local youth sports for our youngest children.

Michigan could be blamed for all this. Michigan is generally accepted as the first state to provide different classifications for season-ending tournaments for different sized schools. It started a century ago. Today, every state has various classifications for its tournaments in most if not all sports. And it is a bit ironic that Michigan – creator of the classification chaos – more than most other states has kept the number of tournament classes or divisions under control.

Yes, there is evidence that tournament classifications have expanded over the years in Michigan, especially with the relatively recent introduction of tournaments in football and the late 1990s’ move from classes to divisions in most MHSAA tournaments. But the MHSAA Representative Council has held true to its word when it expanded the playoffs for football from four classes to eight divisions: this is needed because of unique factors of football, factors that exist in no other sport; and all other sports should be capped at a maximum of four classes or divisions.

Kentucky is the preeminent defender of single-class basketball. All of its 276 high schools compete for the single state championship for each gender. In Indiana, there are still open wounds from its move in 1998 from one to four classes for its 400 schools in basketball.

Multi-class tournaments have tended to increase the number of non-public school champions, which some states are trying to lower through enrollment “multipliers,” and also tend to increase the number of repeat champions, which some states are trying to affect with “success factors” which lift smaller schools into classifications for larger schools if they take home too many trophies.

While there is considerable evidence that state tournaments do as much bad as good for educational athletics, state associations persist in providing postseason tournaments because, on balance, the experiences are supposed to be good for student-athletes. And once we reach that conclusion it is just a small leap to believe that if the tournaments are good for a few, they must be better for more – which leads to creating more and more tournament classifications. One becomes two classes, then three, then four and so forth.

While the argument is that more classifications or divisions provides more students with opportunities to compete and win, it is undeniable that the experience changes as the number of tournament classifications expands. It is not possible for state associations to provide the same level of support when tournament classifications expand to multiple venues playing simultaneously. For example, there is less audio and video broadcast potential at each venue, and less media coverage to each venue. Focus is diluted and fans diminished at each championship.

No one can argue reasonably that today's two-day MHSAA Football Finals of eight championship games has the same pizazz as the one-day, four-games event conducted prior to 1990.

In some states the number of divisions has grown so much that it is difficult to see much difference between the many season-ending state championship games and a regular-season event in the same sport.

It is a balancing act. And Michigan has been studying that balance longer than any other state, and charting a steadier course than most.

Addition by Division

The shift to Divisions for MHSAA Tournament play in numerous sports has added up to a greater number of champions for teams and individuals across the state. Following are the sports currently employing a divisional format, and the procedures for determining enrollment and classification. 

In 23 statewide or Lower Peninsula tournaments, schools which sponsor the sport are currently divided into nearly equal divisions. They are:

  • Baseball - 4 Divisions
  • Boys Bowling - 4 Divisions            
  • Girls Bowling - 4 Divisions
  • Girls Competitive Cheer - 4 Divisions
  • LP Boys Cross Country - 4 Divisions
  • LP Girls Cross Country - 4 Divisions
  • LP Boys Golf - 4 Divisions
  • LP Girls Golf - 4 Divisions
  • Ice Hockey - 3 Divisions
  • Boys Lacrosse - 2 Divisions
  • Girls Lacrosse - 2 Divisions
  • Boys Skiing - 2 Divisions
  • Girls Skiing - 2 Divisions
  • LP Boys Soccer - 4 Divisions LP
  • Girls Soccer - 4 Divisions
  • Girls Softball - 4 Divisions
  • LP Boys Swimming & Diving - 3 Divisions
  • LP Girls Swimming & Diving - 3 Divisions
  • LP Boys Tennis - 4 Divisions
  • LP Girls Tennis - 4 Divisions
  • LP Boys Track & Field - 4 Divisions
  • LP Girls Track & Field - 4 Divisions
  • Wrestling - 4 Divisions

Lists of schools for each division of these 23 tournaments are posted on MHSAA.com approximately April 1. Listings of schools in Upper Peninsula tournaments for their sports are also posted on MHSAA.com. The lists are based on school memberships and sports sponsorships in effect or anticipated for the following school year, as known to the MHSAA office as of a date in early March.

In football, the 256 schools which qualify for MHSAA 11-player playoffs are placed in eight equal divisions annually on Selection Sunday. Beginning in 2017, the 8-player divisions will be determined in a like manner on Selection Sunday as well, with 32 qualifying schools placed in two divisions.

Schools have the option to play in any higher division in one or more sports for a minimum of two years.

The deadlines for "opt-ups" are as follows:

  • Applications for fall sports must be submitted by April 15
  • Applications for winter sports must be submitted by Aug. 15
  • Applications for spring sports must be submitted by Oct. 15

Subsequent to the date of these postings for these tournaments, no school will have its division raised or lowered by schools opening or closing, schools adding or dropping sports, schools exercising the option to play in a higher division, or approval or dissolution of cooperative programs.

When the same sport is conducted for boys and girls in the same season (e.g., track & field and cross country), the gender that has the most sponsoring schools controls the division breaks for both genders.

MHSAA Announces 2023 Football Playoff Brackets, 11-Player Finals Schedule

By Geoff Kimmerly
MHSAA.com senior editor

October 22, 2023

Here are the pairings for the 2023 MHSAA Football Playoffs, which begin Oct. 27-28 with District Semifinals in the 11-Player Playoffs and Regional Semifinals in the 8-Player Playoffs, and also an announcement of the schedule for the 11-Player Finals on Nov. 25-26 at Ford Field.

Teams were divided into divisions before the start of play this fall. The top 32 teams in each division in 11-player and top 16 per division in 8-player, based on playoff-point average, were selected to the field. For 11-player, qualifiers were then divided into four regions with eight teams apiece, and for 8-player qualifiers were divided into four regions with four teams in each.

Pairings for the first three weeks of the tournament are based on regular-season playoff point averages, with the highest-ranked team hosting, regardless of the distance between the two schools. For 11-Player District Semifinal and 8-Player Regional Semifinal play, the top-seeded team in each bracket will host the fourth-seeded team, and the second-seeded team will host the third-seeded team. 

District Finals for 11-player and Regional Finals for 8-player will follow during the weekend of Nov. 3-4, and the weekend of Nov. 10-11 will have Regional Finals in the 11-Player Playoffs and Semifinals in the 8-Player Playoffs. The 8-Player Semifinals will pair the winners of Region 1 vs. Region 2 and the winners of Region 3 vs. Region 4, at the sites of the highest-ranked team.

Semifinal games in the 11-Player Playoffs will take place Nov. 17-18, pairing the winners of Region 1 vs. Region 2 and the winners of Region 3 vs. Region 4. The MHSAA will assign 11-Player Semifinals at neutral sites.

All playoff tickets except for Finals (both 11 and 8-player) will be sold online only via GoFan at gofan.co/ to provide for a cashless and contactless purchasing process.

For 11-Player, tickets to District Semifinals and District Finals cost $7, tickets to Regional Finals are $9, and tickets to Semifinals cost $10. For 8-player, tickets for Regional Semifinals are $7, tickets for Regional Finals are $9, and tickets for Semifinals cost $10.

The 8-Player Finals will take place Nov. 18 at Northern Michigan University’s Superior Dome in Marquette, and the 11-Player Finals will be played Nov. 25-26 at Ford Field in Detroit. An all-day ticket for 8-Player Finals costs $10 and includes admission to both games, and an all-day ticket for the 11-Player Finals costs $20 and includes admission to that day’s four games.

The MHSAA also has announced its schedule for the 11-Player Finals weekend, which will be played on Saturday and Sunday this season to accommodate the Michigan State/Penn State football game on Friday, Nov. 24, at Ford Field. The Finals schedule will be as follows:

Saturday, Nov. 25
10 a.m. - Division 8
1 p.m. - Division 4
4:30 p.m. - Division 6
7:30 p.m. - Division 2

Sunday, Nov. 26
9:30 a.m. - Division 7
12:30 p.m. - Division 3
4 p.m. - Division 5
7 p.m. - Division 1

Pairings for both the 11 and 8-Player brackets are as follows: 

11-Player Pairings

DIVISION 1

REGION 1
DISTRICT 1
Holland West Ottawa (4-5) 54.667 at Rockford (9-0) 85.667
Hudsonville (5-4) 58.111 at Grandville (7-2) 74.111
DISTRICT 2
Lapeer (5-4) 57.444 at Davison (9-0) 82.444
Grand Ledge (6-3) 57.458 at Grand Blanc (5-4) 58.222

REGION 2
DISTRICT 1
Brighton (5-4) 58.667 at Northville (8-1) 78.667
Detroit Catholic Central (7-2) 60.444 at Novi (7-2) 70.667
DISTRICT 2
Ann Arbor Huron (5-4) 54.222 at Belleville (9-0) 84.000
Ann Arbor Pioneer (6-3) 58.000 at Saline (8-1) 78.333

REGION 3
DISTRICT 1
Oxford (4-5) 55.500 at Lake Orion (9-0) 85.778
Romeo (4-5) 59.333 at Clarkston (4-5) 62.111
DISTRICT 2
Utica (4-5) 53.556 at Utica Eisenhower (8-1) 78.000
Rochester Adams (6-3) 62.778 at West Bloomfield (7-2) 77.556

REGION 4
DISTRICT 1
Sterling Heights Stevenson (4-5) 58.000 at Clinton Township Chippewa Valley (7-2) 77.022
St. Clair Shores Lakeview (7-2) 62.889 at Macomb Dakota (7-2) 70.778
DISTRICT 2
Dearborn Fordson (5-4) 58.333 at Southfield Arts & Technology (8-1) 74.667
Detroit Cass Tech (6-3) 58.681 at Westland John Glenn (7-2) 70.556

DIVISION 2

REGION 1
DISTRICT 1
Traverse City Central (4-5) 49.778 at Saginaw Heritage (7-2) 66.667
Midland (5-4) 50.667 at Midland Dow (5-4) 51.444
DISTRICT 2
Grand Rapids Forest Hills Northern (6-3) 54.889 at Muskegon (7-2) 69.000
Muskegon Reeths-Puffer (7-2) 60.889 at Muskegon Mona Shores (6-3) 61.444

REGION 2
DISTRICT 1
Byron Center (8-1) 67.111 at Portage Central (8-1) 73.833
Portage Northern (8-1) 68.944 at Caledonia (7-2) 70.111
DISTRICT 2
Lansing Everett (5-4) 48.097 at East Lansing (7-2) 67.528
Milford (6-3) 59.111 at White Lake Lakeland (6-3) 60.889

REGION 3
DISTRICT 1
Birmingham Groves (6-3) 62.667 at Birmingham Seaholm (8-1) 72.861
Livonia Franklin (6-3) 63.000 at Waterford Mott (7-2) 65.556
DISTRICT 2
Livonia Churchill (4-5) 48.556 at Gibraltar Carlson (8-1) 73.333
Dexter (6-3) 64.778 at Allen Park (8-1) 71.556

REGION 4
DISTRICT 1
Warren Cousino (6-3) 50.000 at Warren De La Salle Collegiate (7-2) 69.333
Detroit U-D Jesuit (6-2) 58.078 at Warren Mott (6-3) 58.111
DISTRICT 2
Harrison Township L'Anse Creuse (4-5) 52.889 at Grosse Pointe South (8-1) 77.222
Roseville (6-3) 60.444 at Port Huron Northern (7-2) 61.000

DIVISION 3

REGION 1
DISTRICT 1
Bay City Western (5-4) 47.222 at Gaylord (9-0) 66.569
Petoskey (5-4) 47.389 at Marquette (5-3) 49.667
DISTRICT 2
Grand Rapids Northview (4-5) 46.444 at Mount Pleasant (8-1) 73.333
Lowell (6-3) 56.222 at Grand Rapids Forest Hills Central (8-1) 71.889

REGION 2
DISTRICT 1
Coopersville (7-2) 55.778 at East Grand Rapids (7-2) 63.667
Zeeland East (6-3) 57.111 at Zeeland West (6-3) 57.333
DISTRICT 2
Battle Creek Harper Creek (6-3) 51.000 at Parma Western (8-1) 62.986
Stevensville Lakeshore (5-4) 54.833 at St. Joseph (6-3) 58.722

REGION 3
DISTRICT 1
Linden (4-5) 49.000 at Mason (9-0) 72.750
Fenton (6-3) 60.889 at DeWitt (6-2) 62.181
DISTRICT 2
Redford Thurston (6-3) 46.556 at Walled Lake Western (8-1) 74.333
Holly (6-3) 52.444 at Auburn Hills Avondale (8-1) 68.667

REGION 4
DISTRICT 1
Detroit Martin Luther King (4-5) 45.667 at Port Huron (7-2) 61.667
Warren Fitzgerald (4-5) 46.222 at Grosse Pointe North (6-3) 51.000
DISTRICT 2
River Rouge (5-4) 50.333 at Southgate Anderson (7-2) 65.389
Trenton (5-4) 56.778 at Riverview (8-1) 57.667

DIVISION 4

REGION 1
DISTRICT 1
Allendale (6-3) 48.333 at Whitehall (9-0) 62.778
Big Rapids (8-1) 49.444 at Spring Lake (7-2) 55.556
DISTRICT 2
Ionia (5-4) 42.889 at Ada Forest Hills Eastern (7-2) 55.778
Wayland (6-3) 48.444 at Grand Rapids South Christian (6-3) 50.889

REGION 2
DISTRICT 1
Vicksburg (4-5) 42.444 at Niles (8-1) 60.556
Edwardsburg (5-4) 47.444 at Paw Paw (8-1) 60.278
DISTRICT 2
Charlotte (6-3) 44.222 at Hastings (7-2) 60.167
Lansing Sexton (8-1) 56.444 at Portland (9-0) 59.500

REGION 3
DISTRICT 1
Tecumseh (5-4) 46.639 at Chelsea (8-1) 64.444
Adrian (6-3) 51.667 at Haslett (6-3) 55.236
DISTRICT 2
Ortonville Brandon (5-4) 47.444 at Goodrich (8-1) 64.222
Lake Fenton (6-3) 49.778 at Freeland (8-1) 55.333

REGION 4
DISTRICT 1
Croswell-Lexington (7-2) 51.000 at Harper Woods (6-3) 64.889
Madison Heights Lamphere (7-2) 51.889 at Marysville (7-2) 55.000
DISTRICT 2
Detroit East English (5-4) 43.667 at Carleton Airport (8-1) 62.333
Dearborn Divine Child (5-4) 48.250 at Redford Union (7-2) 59.667

DIVISION 5

REGION 1
DISTRICT 1
Gladwin (7-2) 45.833 at Ogemaw Heights (8-1) 51.500
Howard City Tri County (7-2) 46.333 at Kingsford (8-1) 49.792
DISTRICT 2
Essexville Garber (5-4) 35.889 at Frankenmuth (8-1) 57.222
Birch Run (5-4) 38.889 at Saginaw Swan Valley (5-4) 42.222

REGION 2
DISTRICT 1
Comstock Park (5-4) 37.889 at Grand Rapids West Catholic (9-0) 69.222
Muskegon Oakridge (6-3) 45.667 at Belding (8-1) 58.333
DISTRICT 2
Benton Harbor (4-5) 33.889 at Grand Rapids Catholic Central (8-1) 66.444
Berrien Springs (5-3) 41.611 at South Haven (6-3) 43.444

REGION 3
DISTRICT 1
Flint Hamady (8-0) 47.528 at Corunna (9-0) 67.778
Williamston (6-3) 55.556 at Pontiac Notre Dame Prep (8-0) 61.431
DISTRICT 2
Richmond (5-4) 38.444 at Marine City (8-1) 56.000
Armada (5-4) 43.778 at Macomb Lutheran North (7-2) 45.667

REGION 4
DISTRICT 1
Ann Arbor Father Gabriel Richard (7-2) 38.333 at Dearborn Heights Robichaud (6-3) 49.778
Detroit Denby (8-1) 41.984 at Detroit Southeastern (6-3) 48.500
DISTRICT 2
Milan (4-5) 38.556 at Flat Rock (6-3) 47.500
Romulus (5-4) 40.667 at Romulus Summit Academy North (7-2) 46.194

DIVISION 6

REGION 1
DISTRICT 1
Boyne City (5-4) 34.222 at Gladstone (7-2) 46.569
Grayling (6-3) 38.903 at Negaunee (7-2) 43.444
DISTRICT 2
Mason County Central (5-4) 32.111 at Kingsley (7-2) 50.944
Lake City (6-3) 32.222 at Manistee (7-2) 49.111

REGION 2
DISTRICT 1
Montague (4-5) 38.111 at Reed City (6-3) 46.444
Kent City (7-2) 39.000 at Hart (8-1) 40.000
DISTRICT 2
Midland Bullock Creek (6-3) 34.222 at Clare (7-2) 45.222
Central Montcalm (5-4) 35.778 at Chesaning (8-1) 42.000

REGION 3
DISTRICT 1
Olivet (3-6) 33.111 at Constantine (8-1) 50.889
Buchanan (6-3) 37.333 at Kalamazoo Hackett Catholic Prep (5-4) 39.833
DISTRICT 2
Lansing Catholic (3-6) 33.667 at Michigan Center (7-2) 38.111
Ida (5-4) 34.222 at Ovid-Elsie (5-4) 37.889

REGION 4
DISTRICT 1
Clinton Township Clintondale (4-5) 32.667 at Almont (8-1) 58.222
Clawson (7-2) 43.556 at Warren Michigan Collegiate (9-0) 54.181
DISTRICT 2
Detroit Pershing (5-4) 35.000 at Ecorse (7-1) 44.264
Detroit Old Redford (8-1) 38.333 at Detroit Edison (6-3) 44.250

DIVISION 7

REGION 1
DISTRICT 1
Benzie Central (5-4) 30.556 at Menominee (7-2) 43.556
Traverse City St. Francis (4-4) 34.139 at Charlevoix (8-1) 40.347
DISTRICT 2
Hemlock (3-6) 26.111 at Beaverton (6-3) 33.556
Houghton Lake (5-4) 26.667 at McBain (5-4) 29.000

REGION 2
DISTRICT 1
Union City (6-3) 32.667 at North Muskegon (9-0) 45.000
Schoolcraft (7-2) 37.222 at Lawton (8-1) 43.722
DISTRICT 2
Perry (5-4) 28.778 at Pewamo-Westphalia (8-1) 39.778
Laingsburg (4-5) 29.222 at Bath (6-3) 34.889

REGION 3
DISTRICT 1
Burton Bendle (4-5) 26.250 at Montrose (6-3) 37.111
Detroit Central (4-5) 31.667 at Grosse Pointe Woods University Liggett (7-2) 36.778
DISTRICT 2
Elkton-Pigeon-Bay Port Laker (5-4) 30.222 at Millington (9-0) 46.347
Sandusky (6-3) 30.667 at Cass City (7-2) 35.333

REGION 4
DISTRICT 1
Grass Lake (6-3) 31.778 at Jackson Lumen Christi (8-1) 61.222
Manchester (7-2) 37.889 at Napoleon (8-1) 43.222
DISTRICT 2
Blissfield (5-4) 34.222 at Clinton (8-1) 45.389
Detroit Loyola (4-5) 34.986 at Monroe St Mary Catholic Central (5-4) 44.653

DIVISION 8

REGION 1
DISTRICT 1
Maple City Glen Lake (5-4) 27.861 at Iron Mountain (9-0) 38.931
Ishpeming (6-3) 30.819 at East Jordan (8-1) 38.528
DISTRICT 2
Frankfort (7-2) 32.750 at Beal City (8-1) 39.111
Muskegon Catholic Central (5-4) 33.458 at Evart (7-2) 35.333

REGION 2
DISTRICT 1
Saginaw Michigan Lutheran Seminary (6-3) 33.556 at New Lothrop (8-1) 46.778
Fowler (8-1) 40.333 at Ithaca (9-0) 42.778
DISTRICT 2
Burton Bentley (7-2) 29.292 at Ubly (9-0) 44.444
Marlette (7-2) 34.000 at Harbor Beach (8-1) 41.111

REGION 3
DISTRICT 1
Saranac (5-4) 27.556 at Saugatuck (7-2) 37.556
Centreville (5-4) 27.556 at White Pigeon (9-0) 35.556
DISTRICT 2
Sand Creek (5-4) 30.444 at Ottawa Lake Whiteford (9-0) 44.778
Hudson (7-2) 38.556 at Addison (9-0) 41.333

REGION 4
DISTRICT 1
Rochester Hills Lutheran Northwest (5-4) 27.333 at Clarkston Everest Collegiate (7-2) 38.667
Arts & Technology Academy of Pontiac (6-3) 27.667 at Marine City Cardinal Mooney (5-4) 31.444
DISTRICT 2
Allen Park Cabrini (4-5) 28.778 at Sterling Heights Parkway Christian (7-2) 34.778
Mount Clemens (5-4) 29.222 at Riverview Gabriel Richard (5-4) 34.444

8-Player Pairings

DIVISION 1

REGION 1
Rudyard (6-3) 31.292 at Pickford (8-1) 36.222
Newberry (7-2) 31.444 at Norway (7-2) 33.778

REGION 2
Central Lake (7-2) 31.903 at St. Ignace (8-1) 38.347
Alcona (8-1) 34.222 at Indian River Inland Lakes (8-1) 34.972

REGION 3
Carson City-Crystal (8-1) 31.556 at Brown City (9-0) 39.167
Merrill (8-1) 32.556 at Kingston (7-2) 35.611

REGION 4
Marcellus (7-2) 31.111 at Martin (7-2) 33.111
Mendon (7-2) 31.111 at Gobles (7-2) 32.111

DIVISION 2

REGION 1
Powers North Central (7-2) 29.540 at Posen (8-0) 32.333
Crystal Falls Forest Park (7-2) 30.444 at Lake Linden-Hubbell (6-3) 31.333

REGION 2
Bay City All Saints (7-2) 30.319 at Marion (8-0) 34.458
Au Gres-Sims (7-2) 31.069 at Mount Pleasant Sacred Heart (8-1) 33.556

REGION 3
Fulton (6-3) 28.667 at Portland St. Patrick (8-1) 32.889
Morrice (7-2) 32.111 at Deckerville (7-2) 32.611

REGION 4
Camden-Frontier (6-3) 28.750 at Adrian Lenawee Christian (9-0) 38.333
Pittsford (7-2) 32.444 at Climax-Scotts (9-0) 37.000

(Photo by Douglas Bargerstock.)