sizing up the wall of fame

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MATH Sizing up the Wall of Fame Hall Visit Activity: Inside the VERIZON Great Hall are three series of glass panels holding glass plates with portraits and biographies of each and every Honoured Member of the Hockey Hall of Fame.... H ALL ACTIVITY A=LXW 1. With these dimensions calculate the area of each glass plate. ______________________________ ______________________________ ______________________________ ______________________________ 2. Locate the portraits of the 2008 Inductees and calculate the total area of the glass plates. ___________________ Math 1

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Page 1: Sizing up the Wall of Fame

MATH Sizing up the Wall of Fame Hall Visit Activity: Inside the VERIZON Great Hall are three series of glass panels holding glass plates with portraits and biographies of each and every Honoured Member of the Hockey Hall of Fame....

H ALL ACTIVITY A=LXW 1. With these dimensions calculate the area of each glass plate. ______________________________ ______________________________ ______________________________ ______________________________

2. Locate the portraits of the 2008 Inductees and calculate the total area of the glass plates. ___________________

Math 1

Page 2: Sizing up the Wall of Fame

Perimeter: Distance Around an Object Note: There are two sides to each wall and the Wall of Fame consists of one large structure and two smaller units. 2. A solid glass panel section supports each glass plate. Calculate the

length and width of one glass panel: assuming the plates fit snugly together.______________________________________________________ ______________________________________________________________ ______________________________________________________________

3. The solid glass panel section is framed by a 10 cm. diameter metal bar

about its perimeter. Calculate the length of metal bar required to fully support all of the glass panels. (Disregard the cross bars and curved end bars) _______________________________________________________________ _______________________________________________________________

4. If the cost of the metal bar is $15.00 per metre, what is the total cost

of the bar required? ____________________________________________ 5. As the game continues to be played, there could be new Honoured

Members inducted into the Hockey Hall of Fame. a) Calculate the total area of all the combined solid glass panels that

can accommodate Honoured Members._________________________ _____________________________________________________________

b) Calculate the area of the space currently occupied by the glass portraits up to and including the 2008 inducted members.

_____________________________________________________________ c) How much area is unoccupied?

_____________________________________________________________ d) If the current average is five new inductees per year, how many

years can the existing glass panels be used? Remember all three units. _______________________________________________________ _____________________________________________________________ _____________________________________________________________

e) If all the glass panels were filled with an Honoured Member glass plate, and each plate costs $450.00, what is the total cost of all the glass plates used? _______________________________________

Math 2

Page 3: Sizing up the Wall of Fame

GEOMETRY Hall Visit Activity: Geometry plays a crucial role in the game of hockey, but few people notice. There are face-off circles, square box formations used by hockey players to defend against power plays and even shots on goal taken from tough angles. Geometry plays a big role in the architecture of the Hockey Hall of Fame, but again, few people notice. In the VERIZON Great Hall, list the places you can find:

triangle circle square rectangle

Circles _____________________________________________________

____________________________________________________________

Triangles____________________________________________________

____________________________________________________________

Squares _____________________________________________________

____________________________________________________________

Rectangles __________________________________________________

____________________________________________________________

CLASSROOM ACTIVITY Using as many geometric figures as you can, design your own school team hockey logo or a new trophy.

Math 3

Page 4: Sizing up the Wall of Fame

Math Statistics and Graphs Hall Visit Activity: Two of hockey’s greatest right wingers are the ‘Rocket’ (Maurice Richard), number nine for the Montreal Canadiens and ‘Mr. Hockey’ (Gordie Howe), number nine for the Detroit Red Wings (Gordie Howe). Go to the computer terminals in the VERIZON Great Hall and compile their playing statistics for regular season and playoffs. Record each player’s total goals, assists, points, penalty minutes and games played. Then, record the number of Hart Trophies (MVP) and the number of Stanley Cup championships won by each player. Maurice Richard

G A P PIM GP Regular season

Playoffs

Totals

Hart Trophy wins ______

Stanley Cup wins ____

Gordie Howe

G A P PIM GP Regular season

Playoffs

Totals

Hart Trophy wins _____

Stanley Cup wins ____

G A P PIM GP Based on the above statistics, name two strengths exhibited by each player that would make both each a valuable team members. ____________________________________________________________ ____________________________________________________________

Math 4

Page 5: Sizing up the Wall of Fame

Ray’s Rush Classroom Activity:

Ray is rushing end-to-end in an attempt to score. While he skates up ice, each change in direction is marked by a letter. In this particular rush, he skates a little further each time before he changes direction. With this information, what word is spelled as Ray reaches the net? _______________________

Math 5

Page 6: Sizing up the Wall of Fame

The Mathematically Ideal Hockey Player Classroom Activity: 1. Play aggressive hockey like

Ralph Ruffian (3966 penalty minutes)

a) How many days is

that? ____________

b) Seconds? ________

c) Hours? __________ 3. Shoot like Billy Boomer

(52.9 metres/sec.)

a) How far would his shot go in 5 seconds? ________________________

b) How long would it take for the puck to travel 25m? ________________________

2. Skate like Flash Fraser

(13.3 metres/sec.)

a) How many metres could he skate in 4 seconds? __________________

4. Score like Sniper Smith (2.230 points per game)

a) How many points would he get (rounded off) after 1,376 games? ___________________________

b) How long would it take to score 1000 points? _______________ ___________________________

Math 6

Page 7: Sizing up the Wall of Fame

Power Play Classroom Activity: Which type of triangle (equilateral, isosceles, scalene) would describe the puck’s path if it was passed from: A) Davis to Campbell to North? _________________________________

B) Davis to Taylor to North? ____________________________________

C) Davis to Taylor to Campbell? _________________________________

D) Campbell to Reid to North?__________________________________

Math 7

Page 8: Sizing up the Wall of Fame

Crossmath Puzzle Classroom Activity: Across 1. Bill Durnan’s shutout streak in

1948 (min.) 4. Marcel Dionne’s total points,

including playoffs 5. Total number of minutes played

by goaltender Clint Benedict during the 1921-22 season

8. Total playoff money in 1993 10. Number of Wilsons to play in the

NHL up to 1993 12. Number of Honoured Members in

the Hockey Hall of Fame as of January 1994

Down 2. Capacity at the arena in St.Louis 3. Total overtime minutes played in

Montreal’s eight 1993 playoff overtime games

6. Lanny McDonald’s final goal scoring total

7. Total minutes in penalty box by Dave Williams

9. Minutes played in the NHL by goalie Terry Sawchuk

11. Total number of players drafted in the NHL draft since 1969

Hints! o notice the decimal place.

o 2 down ends in Eric Lindros’ sweater number.

o 7 down ends in Mario Lemieux’s sweater number.

o 10 across ends in Honoured Member

Choice of numbers

309.21 1, 816.00

4,925 000.00

57, 154.00 500.00 296.00

17,188.00 25.00

5, 269.00 3, 966.00

93.66 1, 508.0

Math 8

Page 9: Sizing up the Wall of Fame

Jacques Lemaire’s sweater number.

Wayne Gretzky’s Math Challenge Classroom Activity: SEASON CLUB GP G A P 79-80 EDM 79 51 86 137 80-81 EDM 80 55 109 164 81-82 EDM 80 92 120 212 82-83 EDM 80 71 125 196 83-84 EDM 74 87 118 205 84-85 EDM 80 73 135 208 85-86 EDM 80 52 163 215 86-87 EDM 79 62 121 183 87-88 EDM 64 40 109 149 88-89 LA 78 54 114 168 89-90 LA 73 40 102 142 90-91 LA 78 41 122 163 91-92 LA 74 31 90 121 92-93 LA 45 16 49 65 93-94 LA 81 38 92 130 94-95 LA 48 11 37 48 95-96 LA 62 15 66 81 95-96 STL 18 8 13 21 96-97 NYR 82 25 72 97 97-98 NYR 82 23 67 90 98-99 NYR 70 9 53 62 NHL TOTALS 1487 894 1963 2857

1. Which seasons represented the highest G, A and P? ___________ 2. In which seasons did he have:

a) 60 or more goals? ________________________________________

b) 120 or more assists? ______________________________________

c) 180 or more points? ______________________________________

d) less than 50 goals? _______________________________________

e) less than 110 assists? ____________________________________

f) less than 150 points? _____________________________________ 3. Find the average per season:

Math 9

Page 10: Sizing up the Wall of Fame

MATH GUIDE MAP Floor plan of the Hockey Hall of Fame

A. Entrance Foyer Displays B. NHL Zone C. Dressing Room/Dynasties Zone D. Hartland Molson Theatre E. Panasonic Hometown Hockey F. NHLPA Be A Player Zone G. TSN/RDS Broadcast Zone H. Pepsi Game Time I. Esso Theatre J. World of Hockey K. Global Game Encounter L. VERIZON Great Hall & NHL Trophies M. Spirit of Hockey Retail Store

Math 10

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MATH

Sizing up the Wall of Fame (Math 1) 1. 1600 cm2 (40 x 40) 2. 5 inductees (1600 x 5) = 8000 cm2 for 2005 Inductees Perimeter: Distance Around an Object (Math 2 ) 1. Length = # of glass plates x size (6 plates x 40cm = 240cm)

Width = # of glass plates x size (3 plates x 40cm = 120cm) Each glass panel is 240cm in length and 120cm in width.

2. Perimeter of bar = length + width + length + width 240 + 120 + 240 + 120 = 720cm 28 glass panels x 720cm = 20,160cm Total amount of bar required: 20,160cm

3. Cost of bar = amount of bar required x cost of bar (per metre) 201.6m x $15.00 = $3,024.00

4a. Area of glass panel (length x width) 2.4m x 1.2m = 2.88m2

Total area (area of glass panel x # of glass panels) x 28 =80.64m2

4b. Area of glass plate (length x width) 0.4 x 0.4 = 0.16m2

Occupied area = (area of glass panel x number of filled glass panels) + (area of glass plate x number of remaining plates)

(2.88 x 19) + (0.16 x 37) = 54.74 + 3.36 = 60.64m2

4c. Unoccupied area = total area --- occupied area 80.64 --- 60.64 = 20.0m2

4d. Area of five glass plates = area of one plate x 5 0.16 x 5 = 0.8m2

Years = unoccupied area ÷ area of five glass plates 20.00 ÷ 0.8 = 25

4e. Total number of glass plates = number of all glass plates on a glass panel x number of glass panels 18 x 28 = 504 Cost of glass plates = total # of glass plates x cost per plate 504 x $450.00 = $226,800.00

Answers 8

Page 12: Sizing up the Wall of Fame

Math Statistics & Graphs (Math 4) Rocket Richard 544 421 965 1285 978 82 44 126 188 133 626 465 1091 1473 1111

Hart Trophies 1 Stanley Cups 8 Gordie Howe 801 1049 1850 1685 1767 68 92 160 220 157 869 1141 2010 1905 1924

Hart Trophies 6 Stanley Cups 4 Rocket Richard scored a lot of goals in very few games. He played well in the playoffs, and was a member of many Stanley Cup teams. Gordie Howe played for a long time, has scored a lot of goals, points, and assists. Ray’s Rush The word spelled is H O C K E Y

Answers 9

Page 13: Sizing up the Wall of Fame

Mathematically Ideal Hockey Player (Math 6) 1a. 2.75 1b. 237,960 1c. 66.1 2a. 53.2m 3a. 264.5m 3b. .473 seconds 4a. 3,068.48 4b 449 games Power Play (Math 7) a) isosceles triangle b) equilateral triangle Crossmath Puzzle (Math 8)

Wayne Gretzky’s Math Challenge (Math 9) 1. Goals 1981-82; assists; 1985-86; points 1985-86 2.a) 81-82, 82-83, 83-84, 84-85, 86-87 2.b) 81-82, 82-83, 84-85, 85-86, 86-87, 90-91 2.c) 81-82, 82-83, 83-84, 84-85, 85-86, 86-87 2.d) 87-88, 89-90, 90-91, 91-92, 92-93, 93-94 2.e) 79-80, 80-81, 87-88, 89-90, 91-92, 92-93, 93-94 2.f) 79-80, 87-88, 89-90, 91-92, 92-93, 93-94 3a. 75 3b. 53.5 3c. 110.3 3d. 163.87 Answers 10