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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.

Muskegon celebrates during its win over Muskegon Mona Shores on Oct. 22.

2022 MHSAA Football Playoff Pairings Announced

By Geoff Kimmerly
MHSAA.com senior editor

October 23, 2022

Here are the pairings for the 2022 MHSAA Football Playoffs, which begin Oct. 28-29 with District Semifinals in the 11-Player Playoffs and Regional Semifinals in the 8-Player Playoffs. 

For 11- and 8-player, 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. 4-5, and the weekend of Nov. 11-12 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. 18-19, 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 https://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. 19 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.

2022 Printable Playoff Brackets

Division 1 | Division 2 | Division 3 | Division 4 | Division 5 
Division 6 | Division 7 | Division 8 | 8P Division 1 | 8 P Division 2

Go here for game times and results throughout the tournament: 2022 Football Playoffs Home

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

11-Player Pairings

DIVISION 1

REGION 1
DISTRICT 1
East Kentwood (5-4) 58.097 at Rockford (9-0) 85.222
Grandville (7-2) 73.444 at Caledonia (8-1) 78.111
DISTRICT 2
Grand Ledge (7-2) 62.278 at Brighton (8-1) 79.333
Hartland (6-3) 62.667 at Holt (6-3) 64.833

REGION 2
DISTRICT 1
Grand Blanc (4-5) 52.333 at Davison (8-1) 79.528
Lapeer (7-2) 73.111 at Clarkston (7-2) 76.778
DISTRICT 2
Lake Orion (4-5) 51.556 at Rochester Adams (8-1) 75.653
Rochester (5-4) 52.778 at Rochester Hills Stoney Creek (5-4) 56.111

REGION 3
DISTRICT 1
Brownstown Woodhaven (6-3) 55.917 at Belleville (9-0) 85.000
Ann Arbor Huron (5-4) 58.889 at Saline (7-2) 68.778
DISTRICT 2
Novi (5-4) 62.000 at Northville (7-2) 69.444
Detroit Catholic Central (6-2) 63.611 at Dearborn (7-2) 67.556

REGION 4
DISTRICT 1
Detroit Cass Tech (6-3) 54.389 at West Bloomfield (8-1) 80.778
Troy (7-2) 62.556 at Southfield Arts & Technology (7-2) 71.014
DISTRICT 2
Utica Eisenhower (6-3) 66.667 at Macomb Dakota (9-0) 78.875
Clinton Township Chippewa Valley (7-2) 74.056 at Romeo (7-2) 74.222

DIVISION 2

REGION 1
DISTRICT 1
Muskegon Reeths-Puffer (6-3) 56.056 at Grand Rapids Forest Hills Central (9-0) 73.000
Traverse City Central (5-4) 60.222 at Muskegon Mona Shores (7-2) 65.667
DISTRICT 2
Portage Northern (6-3) 56.056 at Byron Center (7-2) 65.556
East Lansing (6-3) 57.944 at Battle Creek Central (7-2) 63.611

REGION 2
DISTRICT 1
Swartz Creek (7-2) 57.556 at Midland (8-1) 69.333
Saginaw Heritage (7-2) 60.333 at Waterford Mott (7-2) 64.556
DISTRICT 2
Milford (5-4) 53.778 at Dexter (9-0) 81.444
South Lyon (6-3) 57.944 at South Lyon East (7-2) 64.333

REGION 3
DISTRICT 1
Dearborn Heights Crestwood (6-3) 50.889 at Livonia Franklin (8-1) 76.889
Farmington (6-3) 56.667 at Temperance Bedford (7-2) 65.444
DISTRICT 2
Ferndale (5-4) 49.556 at Birmingham Seaholm (7-2) 69.222
Warren Mott (5-4) 51.556 at Birmingham Groves (6-3) 55.222

REGION 4
DISTRICT 1
Warren Cousino (6-3) 50.889 at Roseville (7-2) 69.111
Grosse Pointe South (6-3) 66.333 at Warren De La Salle Collegiate (8-1) 68.528
DISTRICT 2
St Clair Shores Lakeview (6-3) 54.667 at Port Huron Northern (8-1) 61.778
Harrison Township L'Anse Creuse (5-4) 58.222 at Port Huron (7-2) 58.889

DIVISION 3

REGION 1
DISTRICT 1
Gaylord (6-3) 45.778 at Mount Pleasant (8-1) 70.444
Cadillac (5-4) 51.111 at DeWitt (6-3) 56.194
DISTRICT 2
Holly (4-5) 46.778 at Fenton (7-2) 60.889
Haslett (6-3) 49.778 at Linden (5-4) 57.889

REGION 2
DISTRICT 1
Sparta (6-3) 45.222 at Muskegon (7-2) 67.667
Cedar Springs (5-4) 48.944 at Coopersville (6-3) 53.111
DISTRICT 2
East Grand Rapids (4-5) 50.000 at St Joseph (8-1) 69.722
Lowell (6-3) 54.556 at Zeeland West (8-1) 67.333

REGION 3
DISTRICT 1
Sturgis (5-4) 43.222 at Mason (9-0) 64.889
Parma Western (6-3) 48.667 at Jackson (5-4) 53.222
DISTRICT 2
New Boston Huron (6-3) 51.222 at Gibraltar Carlson (8-1) 70.222
Southgate Anderson (5-4) 53.000 at Trenton (8-1) 69.222

REGION 4
DISTRICT 1
Detroit Renaissance (4-5) 43.833 at Walled Lake Western (8-1) 75.444
Bloomfield Hills Brother Rice (3-5) 47.542 at Auburn Hills Avondale (6-3) 52.333
DISTRICT 2
Allen Park (5-4) 52.167 at Grosse Pointe North (8-1) 61.000
River Rouge (5-3) 52.278 at Detroit Martin Luther King (5-3) 54.639

DIVISION 4

REGION 1
DISTRICT 1
Big Rapids (7-2) 43.667 at Whitehall (9-0) 63.667
Ludington (7-2) 48.222 at Fruitport (7-2) 53.000
DISTRICT 2
Grand Rapids Christian (3-6) 43.111 at Grand Rapids South Christian (9-0) 65.778
Ada Forest Hills Eastern (6-3) 49.556 at Hudsonville Unity Christian (5-4) 50.333

REGION 2
DISTRICT 1
Paw Paw (4-5) 40.889 at Edwardsburg (8-1) 62.556
Niles (5-4) 43.333 at Three Rivers (5-4) 46.667
DISTRICT 2
Vicksburg (5-4) 47.222 at Hastings (8-1) 59.222
Chelsea (5-4) 54.778 at Charlotte (8-1) 56.000

REGION 3
DISTRICT 1
Ortonville Brandon (6-3) 49.556 at Goodrich (8-1) 61.556
Freeland (7-2) 49.778 at North Branch (8-1) 56.111
DISTRICT 2
Marysville (5-4) 43.000 at Madison Heights Lamphere (7-2) 51.889
Orchard Lake St. Mary's (3-5) 44.083 at Croswell-Lexington (7-2) 51.556

REGION 4
DISTRICT 1
Adrian (5-4) 43.222 at Riverview (9-0) 65.333
Carleton Airport (7-2) 48.111 at Tecumseh (9-0) 63.444
DISTRICT 2
Livonia Clarenceville (5-4) 43.889 at Redford Union (9-0) 60.889
Garden City (6-3) 46.889 at Dearborn Divine Child (7-2) 52.778

DIVISION 5

REGION 1
DISTRICT 1
Ogemaw Heights (7-2) 42.444 at Gladwin (9-0) 52.167
Kingsley (7-2) 48.444 at Kingsford (6-3) 48.778
DISTRICT 2
Shepherd (6-3) 39.000 at Muskegon Oakridge (8-1) 58.000
Howard City Tri County (7-2) 42.667 at Belding (8-1) 56.667

REGION 2
DISTRICT 1
Kalamazoo Hackett Catholic Prep (5-4) 41.056 at Grand Rapids Catholic Central (8-1) 62.222
Hopkins (5-4) 41.556 at Berrien Springs (6-2) 44.639
DISTRICT 2
Olivet (7-2) 45.778 at Portland (8-1) 59.556
Williamston (7-2) 53.778 at Corunna (7-2) 57.889

REGION 3
DISTRICT 1
Birch Run (5-4) 38.667 at Frankenmuth (9-0) 60.889
Essexville Garber (6-3) 41.333 at Saginaw Swan Valley (6-3) 46.111
DISTRICT 2
Yale (5-4) 39.222 at Marine City (7-2) 56.333
Flint Hamady (8-1) 41.833 at Armada (7-2) 52.111

REGION 4
DISTRICT 1
Dundee (6-3) 41.111 at Flat Rock (6-3) 50.889
Grosse Ile (5-4) 42.111 at Romulus Summit Academy North (7-2) 48.000
DISTRICT 2
Detroit Southeastern (6-3) 38.500 at Detroit Country Day (5-3) 44.722
St. Clair Shores South Lake (6-3) 40.444 at Pontiac Notre Dame Prep (6-3) 42.667

DIVISION 6

REGION 1
DISTRICT 1
Houghton (6-3) 34.778 at Negaunee (9-0) 49.333
Calumet (6-3) 36.667 at Menominee (5-4) 39.764
DISTRICT 2
Elk Rapids (6-3) 34.222 at Gladstone (7-2) 54.222
Manistee (6-3) 40.556 at Boyne City (9-0) 44.889

REGION 2
DISTRICT 1
Montague (3-6) 35.444 at Reed City (8-1) 52.889
Kent City (7-2) 39.667 at Muskegon Catholic Central (7-2) 40.444
DISTRICT 2
Sanford Meridian (6-3) 34.333 at Millington (8-1) 45.389
Clare (5-4) 36.778 at Standish-Sterling (7-1) 44.153

REGION 3
DISTRICT 1
Watervliet (6-3) 40.125 at Grand Rapids West Catholic (8-1) 65.556
Buchanan (8-1) 46.083 at Constantine (8-1) 50.889
DISTRICT 2
Lansing Catholic (4-5) 36.333 at Durand (9-0) 52.778
Ovid-Elsie (7-2) 45.556 at Almont (6-3) 51.222

REGION 4
DISTRICT 1
Ida (4-5) 34.667 at Clinton (9-0) 50.667
Detroit Voyageur College Prep (7-2) 44.667 at Ecorse (8-1) 47.444
DISTRICT 2
Clawson (5-4) 33.556 at Madison Heights Bishop Foley (9-0) 49.667
Detroit Northwestern (6-3) 33.667 at Warren Michigan Collegiate (8-1) 47.889

DIVISION 7

REGION 1
DISTRICT 1
L'Anse (4-5) 26.889 at Traverse City St. Francis (9-0) 56.833
Benzie Central (3-6) 30.333 at Charlevoix (8-1) 38.778
DISTRICT 2
Lake City (5-4) 28.444 at Ithaca (8-1) 44.222
Ravenna (6-3) 36.667 at North Muskegon (8-1) 41.000

REGION 2
DISTRICT 1
Burton Bendle (4-5) 26.236 at New Lothrop (7-2) 42.000
Bath (6-3) 30.222 at Pewamo-Westphalia (5-4) 33.000
DISTRICT 2
Cass City (5-4) 31.000 at Montrose (6-3) 37.667
Bad Axe (6-3) 33.111 at Elkton-Pigeon-Bay Port Laker (8-1) 36.667

REGION 3
DISTRICT 1
Niles Brandywine (4-5) 27.139 at Lawton (7-2) 40.236
Delton Kellogg (4-5) 31.944 at Schoolcraft (6-3) 36.192
DISTRICT 2
Homer (7-2) 35.000 at Jackson Lumen Christi (6-3) 51.333
Union City (7-2) 36.333 at Hudson (8-1) 48.111

REGION 4
DISTRICT 1
Erie Mason (6-3) 30.000 at Napoleon (9-0) 41.556
Grass Lake (5-4) 31.444 at Manchester (5-4) 31.778
DISTRICT 2
Southfield Bradford Academy (3-6) 26.889 at Detroit Central (9-0) 52.167
Grosse Pointe Woods University Liggett (7-2) 35.444 at Monroe St. Mary Catholic Central (4-5) 41.556

DIVISION 8

REGION 1
DISTRICT 1
Ishpeming (4-5) 28.889 at Iron Mountain (8-1) 45.556
Bark River-Harris (7-2) 32.556 at St. Ignace (7-2) 34.444
DISTRICT 2
East Jordan (5-4) 26.889 at Frankfort (8-1) 36.222
McBain (5-4) 27.222 at Evart (8-1) 35.889

REGION 2
DISTRICT 1
White Cloud (6-3) 28.000 at Beal City (9-0) 40.667
Carson City-Crystal (8-1) 30.667 at Fowler (8-1) 36.778
DISTRICT 2
Saginaw Nouvel (6-3) 34.056 at Ubly (9-0) 40.222
Harbor Beach (8-1) 37.222 at Saginaw Michigan Lutheran Seminary (8-1) 38.556

REGION 3
DISTRICT 1
Decatur (6-3) 30.331 at Reading (7-2) 35.556
White Pigeon (6-3) 32.109 at Centreville (6-3) 33.206
DISTRICT 2
Addison (5-4) 29.111 at Ottawa Lake Whiteford (9-0) 46.778
Melvindale Academy for Business & Tech (7-2) 31.000 at Riverview Gabriel Richard (6-3) 40.444

REGION 4
DISTRICT 1
Marlette (5-4) 27.333 at Marine City Cardinal Mooney (7-2) 39.667
Flint Beecher (4-4) 29.875 at Clarkston Everest Collegiate (6-3) 31.500
DISTRICT 2
Sterling Heights Parkway Christian (4-5) 26.889 at Detroit Leadership Academy (4-5) 31.333
Detroit Community (5-4) 27.722 at Mount Clemens (7-2) 31.056

8-Player Pairings

DIVISION 1

REGION 1
Norway (6-3) 30.583 at Munising (9-0) 37.833
Newberry (8-1) 33.681 at Rogers City (9-0) 37.333

REGION 2
Indian River Inland Lakes (6-3) 31.000 at Merrill (9-0) 37.000
Fulton (7-2) 31.444 at Breckenridge (7-2) 31.444

REGION 3
Tekonsha (7-2) 30.361 at Martin (7-2) 37.736
Gobles (7-2) 32.444 at Adrian Lenawee Christian (7-2) 33.444

REGION 4
Deckerville (6-3) 31.000 at Kingston (9-0) 35.667
Auburn Hills Oakland Christian (8-1) 33.556 at Brown City (8-1) 34.014

DIVISION 2

REGION 1
Stephenson (6-3) 28.000 at Powers North Central (9-0) 36.333
Lake Linden-Hubbell (6-3) 28.000 at Crystal Falls Forest Park (7-2) 30.778

REGION 2
Posen (7-2) 29.873 at Marion (9-0) 37.315
Central Lake (7-2) 29.944 at Gaylord St Mary (7-2) 30.486

REGION 3
Kinde North Huron (6-3) 26.000 at Au Gres-Sims (8-1) 34.556
Morrice (7-2) 31.444 at Peck (7-2) 31.778

REGION 4
Camden-Frontier (5-4) 26.889 at Colon (9-0) 39.333
Mendon (7-2) 31.778 at Climax-Scotts (8-1) 35.972