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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.

Livonia Churchill/Novi football

2021 MHSAA Football Playoff Pairings Announced

By Geoff Kimmerly
MHSAA.com senior editor

October 24, 2021

Here are the pairings for the 2021 MHSAA Football Playoffs, which begin Oct. 29-30 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. 5-6, and the weekend of Nov. 12-13 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. 19-20, 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 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 $7.30, tickets to Regional Finals are $9.40, and tickets to Semifinals cost $10.45. For 8-player, tickets for Regional Semifinals are $7.30, tickets for Regional Finals are $9.40, and tickets for Semifinals cost $10.45. Prices for all of those rounds include a convenience fee.

The 8-Player Finals will take place Nov. 20 at Northern Michigan University’s Superior Dome in Marquette, and the 11-Player Finals will be played Nov. 26-27 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.

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

11-Player Pairings

DIVISION 1

REGION 1
DISTRICT 1
Grand Ledge (6-3) 57.222 at Rockford (9-0) 84.222
Traverse City West (6-3) 58.333 at Grandville (6-3) 64.111
DISTRICT 2
Holt (7-2) 68.444 at Grand Blanc (9-0) 81.111
Howell (7-2) 69.333 at Hartland (7-2) 70.778

REGION 2
DISTRICT 1
Lapeer (7-2) 64.556 at Rochester Adams (9-0) 79.389
Oxford (5-4) 66.000 at Clarkston (8-1) 73.000
DISTRICT 2
Novi (5-4) 54.667 at West Bloomfield (8-1) 76.889
Detroit Catholic Central (7-2) 75.333 at Bloomfield Hills (9-0) 76.444

REGION 3
DISTRICT 1
Utica (5-4) 55.000 at Romeo (8-1) 82.333
New Baltimore Anchor Bay (7-2) 65.556 at Macomb Dakota (6-3) 66.333
DISTRICT 2
Fraser (6-3) 53.667 at Sterling Heights Stevenson (7-2) 74.222
Clinton Township Chippewa Valley (6-3) 68.778 at Troy (8-1) 71.667

REGION 4
DISTRICT 1
Canton (6-3) 65.333 at Saline (9-0) 82.333
Ann Arbor Huron (8-1) 74.222 at Belleville (8-1) 77.444
DISTRICT 2
Detroit Cass Tech (6-3) 54.931 at Dearborn Fordson (7-2) 73.556
Dearborn (6-3) 65.444 at Brownstown Woodhaven (8-1) 70.417

DIVISION 2

REGION 1
DISTRICT 1
Saginaw Heritage (4-5) 50.222 at Traverse City Central (8-1) 71.222
Bay City Western (7-2) 56.556 at Midland Dow (6-3) 63.778
DISTRICT 2
Byron Center (7-2) 62.333 at Caledonia (8-1) 76.444
Muskegon Mona Shores (7-2) 62.639 at Grand Rapids Forest Hills Central (8-1) 69.556

REGION 2
DISTRICT 1
Jackson (5-4) 48.889 at Portage Central (7-2) 64.556
Dexter (5-4) 58.000 at Battle Creek Lakeview (6-3) 58.236
DISTRICT 2
Swartz Creek (5-4) 47.556 at South Lyon (9-0) 78.014
East Lansing (6-3) 65.000 at Milford (7-2) 65.444

REGION 3
DISTRICT 1
Waterford Mott (5-4) 54.222 at Berkley (7-2) 66.333
Walled Lake Western (6-3) 58.333 at White Lake Lakeland (6-3) 62.889
DISTRICT 2
Dearborn Heights Crestwood (6-3) 48.778 at Livonia Churchill (7-2) 69.444
Livonia Franklin (4-5) 53.333 at Temperance Bedford (7-2) 67.444

REGION 4
DISTRICT 1
Roseville (5-4) 50.583 at Harrison Township L'Anse Creuse (7-2) 64.333
Port Huron (6-3) 59.778 at Port Huron Northern (7-2) 63.028
DISTRICT 2
Detroit U-D Jesuit (4-5) 49.667 at Warren De La Salle Collegiate (8-0) 80.833
St. Clair Shores Lakeview (5-4) 51.667 at Grosse Pointe South (5-4) 55.944

DIVISION 3

REGION 1
DISTRICT 1
Ionia (5-4) 41.556 at DeWitt (8-1) 76.667
Marquette (7-2) 57.222 at Mount Pleasant (9-0) 70.444
DISTRICT 2
Lowell (4-5) 48.778 at Muskegon (8-1) 69.194
Coopersville (6-3) 49.222 at Cedar Springs (7-2) 58.556

REGION 2
DISTRICT 1
Zeeland East (5-4) 50.014 at Stevensville Lakeshore (6-3) 57.778
St. Joseph (5-4) 51.778 at Zeeland West (6-2) 57.264
DISTRICT 2
Richland Gull Lake (5-4) 42.222 at Battle Creek Harper Creek (6-3) 52.222
Mattawan (4-5) 45.270 at Parma Western (6-3) 48.000

REGION 3
DISTRICT 1
South Lyon East (3-6) 42.556 at Mason (7-2) 56.111
Pinckney (6-3) 52.556 at Haslett (7-2) 54.333
DISTRICT 2
Auburn Hills Avondale (4-5) 46.889 at Bloomfield Hills Brother Rice (6-3) 62.208
Orchard Lake St. Mary's (5-4) 51.417 at Flint Kearsley (6-3) 52.556

REGION 4
DISTRICT 1
Warren Fitzgerald (8-1) 53.222 at Detroit Martin Luther King (8-1) 76.722
River Rouge (6-2) 56.319 at Harper Woods (7-2) 61.597
DISTRICT 2
Trenton (5-4) 54.667 at Gibraltar Carlson (8-1) 72.111
Riverview (9-0) 62.889 at Allen Park (7-2) 64.667

DIVISION 4

REGION 1
DISTRICT 1
Fruitport (4-5) 43.667 at Cadillac (7-2) 57.111
Whitehall (7-2) 46.222 at Sparta (7-2) 49.792
DISTRICT 2
Ada Forest Hills Eastern (5-4) 45.778 at Hudsonville Unity Christian (9-0) 67.444
Spring Lake (6-3) 50.889 at Grand Rapids Christian (6-3) 59.111

REGION 2
DISTRICT 1
Charlotte (6-3) 47.333 at Hastings (8-1) 59.000
Grand Rapids South Christian (6-3) 51.000 at Plainwell (6-3) 51.667
DISTRICT 2
Paw Paw (5-4) 45.556 at Edwardsburg (9-0) 64.889
Three Rivers (5-4) 46.111 at Vicksburg (8-1) 61.667

REGION 3
DISTRICT 1
Ortonville Brandon (6-3) 48.472 at Lake Fenton (8-1) 61.556
Goodrich (7-2) 56.889 at Freeland (8-1) 57.889
DISTRICT 2
North Branch (7-2) 48.000 at St. Clair (7-2) 57.361
Pontiac Notre Dame Prep (7-2) 50.347 at Croswell-Lexington (8-1) 53.444

REGION 4
DISTRICT 1
Detroit Country Day (5-3) 46.889 at Redford Union (8-1) 59.444
Madison Heights Lamphere (7-2) 50.778 at Livonia Clarenceville (8-1) 55.556
DISTRICT 2
Romulus Summit Academy North (7-2) 45.222 at Chelsea (9-0) 70.556
New Boston Huron (5-4) 47.889 at Milan (7-2) 50.889

DIVISION 5

REGION 1
DISTRICT 1
Clare (6-3) 42.444 at Gladwin (9-0) 50.222
Kingsford (6-3) 46.778 at Kingsley (8-1) 48.667
DISTRICT 2
Carrollton (5-4) 35.889 at Frankenmuth (9-0) 62.111
Saginaw Swan Valley (5-4) 42.667 at Essexville Garber (5-4) 44.222

REGION 2
DISTRICT 1
Grant (4-5) 35.944 at Howard City Tri County (8-1) 48.111
Big Rapids (5-4) 39.778 at Muskegon Oakridge (7-2) 47.476
DISTRICT 2
Belding (5-4) 43.389 at Grand Rapids Catholic Central (9-0) 70.333
Comstock Park (9-0) 58.903 at Grand Rapids West Catholic (8-1) 62.667

REGION 3
DISTRICT 1
Parchment (6-3) 35.875 at Berrien Springs (9-0) 51.667
South Haven (6-3) 40.111 at Kalamazoo Hackett Catholic Prep (6-3) 43.458
DISTRICT 2
Hopkins (5-4) 43.569 at Portland (7-2) 58.444
Olivet (7-2) 45.667 at Williamston (6-3) 55.222

REGION 4
DISTRICT 1
Richmond (4-5) 36.333 at Armada (6-3) 46.778
Corunna (5-4) 42.111 at Flint Powers Catholic (3-6) 43.111
DISTRICT 2
St. Clair Shores South Lake (5-4) 37.778 at Marine City (9-0) 62.889
Dundee (5-4) 39.889 at Macomb Lutheran North (6-3) 40.903

DIVISION 6

REGION 1
DISTRICT 1
Gladstone (4-5) 36.778 at Negaunee (7-2) 41.014
Calumet (7-2) 37.667 at Menominee (5-4) 39.583
DISTRICT 2
Maple City Glen Lake (4-5) 31.681 at Standish-Sterling (7-2) 44.111
Boyne City (8-1) 42.097 at Grayling (7-2) 42.375

REGION 2
DISTRICT 1
Manistee (5-4) 36.907 at Reed City (8-1) 55.444
Central Montcalm (5-4) 38.222 at Montague (6-3) 43.143
DISTRICT 2
Durand (6-3) 36.333 at Lansing Catholic (8-1) 59.556
Ovid-Elsie (6-3) 37.333 at Millington (9-0) 46.333

REGION 3
DISTRICT 1
Watervliet (5-4) 34.778 at Constantine (9-0) 51.653
Michigan Center (8-1) 38.444 at Jonesville (9-0) 42.778
DISTRICT 2
Erie Mason (5-4) 31.302 at Ida (7-2) 45.000
Clinton (7-2) 39.347 at Dearborn Heights Robichaud (5-4) 39.444

REGION 4
DISTRICT 1
Clinton Township Clintondale (5-4) 40.403 at Warren Michigan Collegiate (7-2) 49.944
Almont (5-4) 42.444 at Clawson (7-2) 44.000
DISTRICT 2
Detroit Pershing (5-4) 34.778 at Detroit Southeastern (6-3) 44.736
Detroit Edison (6-3) 36.125 at Ecorse (6-3) 39.736

DIVISION 7

REGION 1
DISTRICT 1
East Jordan (7-2) 29.940 at Ishpeming Westwood (8-1) 43.569
Mancelona (5-3) 30.694 at Charlevoix (7-1) 39.264
DISTRICT 2
Harrison (6-3) 32.667 at Traverse City St. Francis (9-0) 56.111
McBain (6-3) 34.042 at Evart (7-2) 36.264

REGION 2
DISTRICT 1
Ithaca (6-3) 38.333 at Pewamo-Westphalia (9-0) 49.444
New Lothrop (6-3) 40.000 at Montrose (7-2) 40.000
DISTRICT 2
Elkton-Pigeon-Bay Port Laker (7-2) 34.889 at Reese (8-1) 38.333
Bad Axe (7-2) 36.556 at Hemlock (5-4) 36.556

REGION 3
DISTRICT 1
Delton Kellogg (5-3) 34.014 at Muskegon Catholic Central (8-1) 48.222
North Muskegon (4-5) 34.032 at Ravenna (6-3) 39.587
DISTRICT 2
Homer (5-4) 31.000 at Lawton (9-0) 44.125
Niles Brandywine (4-5) 32.333 at Union City (5-4) 32.556

REGION 4
DISTRICT 1
Detroit Leadership Academy (5-4) 32.000 at Jackson Lumen Christi (8-1) 59.778
Lutheran Westland (8-1) 37.222 at Monroe St. Mary Catholic Central (8-1) 59.000
DISTRICT 2
Detroit Community (6-3) 35.958 at Detroit Central (9-0) 50.722
Detroit Loyola (4-4) 39.847 at Madison Heights Bishop Foley (8-1) 44.792

DIVISION 8

REGION 1
DISTRICT 1
Bark River-Harris (6-3) 27.014 at Beal City (8-1) 42.000
Frankfort (6-3) 31.778 at Iron Mountain (6-3) 36.792
DISTRICT 2
White Cloud (4-5) 24.486 at Carson City-Crystal (8-1) 39.222
Holton (5-4) 25.931 at Muskegon Heights Academy (5-4) 30.778

REGION 2
DISTRICT 1
Vassar (4-5) 24.778 at Breckenridge (7-2) 34.111
Fowler (6-3) 31.500 at Flint Beecher (4-5) 32.917
DISTRICT 2
Harbor Beach (6-3) 30.597 at Ubly (9-0) 40.708
Cass City (5-4) 31.333 at Marlette (6-3) 32.597

REGION 3
DISTRICT 1
Decatur (4-5) 26.444 at White Pigeon (8-1) 35.667
Saugatuck (5-4) 29.625 at Cassopolis (5-4) 29.681
DISTRICT 2
Reading (6-3) 32.778 at Hudson (9-0) 51.222
Centreville (7-2) 35.569 at Addison (8-1) 42.667

REGION 4
DISTRICT 1
Petersburg Summerfield (6-3) 29.190 at Ottawa Lake Whiteford (8-1) 46.111
Whitmore Lake (6-3) 30.444 at Sand Creek (6-3) 34.667
DISTRICT 2
Mount Clemens (5-4) 26.778 at Clarkston Everest Collegiate (7-2) 36.333
Rochester Hills Lutheran Northwest (5-4) 27.556 at Marine City Cardinal Mooney (7-2) 31.486

8-Player Pairings

DIVISION 1

REGION 1
Rudyard (7-2) 30.861 at Munising (7-2) 33.194
Newberry (7-2) 31.528 at Pickford (7-2) 31.861

REGION 2
Mesick (5-4) 29.079 at Suttons Bay (9-0) 39.250
Rogers City (8-1) 32.722 at Indian River Inland Lakes (9-0) 34.333

REGION 3
Tekonsha (7-2) 29.778 at Martin (9-0) 36.125
Lawrence (7-2) 30.569 at Mendon (7-2) 32.569

REGION 4
Vestaburg (6-3) 29.286 at Adrian Lenawee Christian (9-0) 41.375
Britton Deerfield (8-1) 33.431 at Deckerville (7-1) 33.458

DIVISION 2

REGION 1
Pellston (7-2) 30.444 at Powers North Central (9-0) 36.667
Crystal Falls Forest Park (7-2) 31.111 at Lake Linden-Hubbell (7-2) 31.111

REGION 2
Gaylord St. Mary (5-4) 25.972 at Marion (8-1) 36.079
Mio (6-3) 28.333 at Hillman (6-3) 29.000

REGION 3
Peck (6-3) 28.000 at Au Gres-Sims (9-0) 35.667
Mount Pleasant Sacred Heart (7-2) 32.028 at Kinde North Huron (9-0) 35.333

REGION 4
Climax-Scotts (6-3) 29.833 at Morrice (9-0) 36.875
Colon (8-1) 33.306 at Portland St. Patrick (9-0) 35.029

PHOTO Week 9 opponents Livonia Churchill and Novi both were selected to this season's playoff field. (Photo by Douglas Bargerstock.)