# ESTIMATION GOLF TOURNAMENT

### COMPETITION

• Each school may register one THREE-student team per grade level.
• Register promptly! The tournament is limited to the first 20 teams per grade level. (If you are not among the first 20 teams, you will be notified promptly. A registration form for Estimation Golf is attached.)
• Preliminary round-20 teams per grade level compete: three problems per team.
• Final Round-Top three teams at each grade level compete in gym: three problems per team.
• All questions involve estimation  No calculators, paper, or pencil are allowed.
• A sample round, rules, and questions are included below.

### PRELIMINARY ROUND  MULTIPURPOSE ROOM OF STUDENT CENTER

• 11:15 AM  Sixth Grade Competition
• 11:45 AM  Seventh Grade Competition
• 12:15 PM  Eight Grade Competition

### AWARDS

The top three teams at each grade level will receive trophies for the Estimation Golf Tournament. These scores will not affect the individual or team scores for the regular competition.

### SAMPLE ROUND

Each team of three students ( designated A, B, and C) sits at a table with one judge ( Not their own teacher.)

The judge shows the first inequality problem to all three students; 520 < 17x + 59 < 530.

Student A ( with help from teammates) has 15 seconds to estimate a value for x so that 17x + 59 is between 520 and 530. For example Student A might suggest,  x = 20. Using a calculator, the judge caclulates 17(20) + 59 = 399 and shows the x value, 20, and the result, 399, to all three team members.

Student B has 15 seconds to estimate a second value for x, say 30. The judge shows the x value, 30, and the result, 569 (17(30)+59) to all three team members. The round continues until the result is between 520 and 530. For example, this round might proceed:

 x 20 30 25 27 27.2 Result 399 569 484 518 521.4

The teams score equals its number of guesses, in this case, 5.

### RULES

• Each team of three students (designated A, B, and C) sits with one judge ( Not their own teacher.) The judge has a watch, a folder with three problems, and a Recording Sheet. The judge shows one problem at a time.
• The students take turns (A,B,C,A,B,C,). Students may talk to each other, but within 15 seconds, the student whose turn it is must provide a value/guess for x. If that student does not offer an answer after 15 seconds, the team loses that turn  recorded as a blank.
• No calculators, paper, or pencils are allowed.
• Each guess must be given as a number in standard decimal format; for example,   -2, 1.6, and 5.865 are acceptable; but 2/3 , 3p, and 2 + 0.06 are not acceptable.
• After each guess for x, the judge uses a calculator to determine the result and shows the guess for x and the result to all three students. The process continues until a student provides a value for x such that the result is between the given bounds. The teams score is the number of guesses. If a team does not solve the problem in 12 guesses, the team will receive a score of 13 and proceeds to the next question. Therefore, the maximum(worst) score for each problem is 13.
• Each team will solve three inequality problems. The top three teams at each grade level in the Preliminary Round will proceed to the Final Round.
• If necessary, the tie-breakers are:        A: Best score on Problem #3

B: Best score on Problem # 2

C: Best first guess (closest to the midpoint) on Question #3

D: Best first guess (closest to the midpoint) on Question #2

E: Best first guess (closest to the midpoint) on Question #1

• The Final Round, in front of the audience in the gymnasium, will be identical in format to the Preliminary Round except that all three grade levels will compete simultaneously. Scores from the Preliminary Round are not carried over to the final round.

### PRACTICE PROBLEMS

All problems will involve the same type of double inequalities. Operations will be limited to addition, subtraction, division, whole number exponents, and radicals.

2200 < x3 < 2300

-28 < 30 + 6x < -25

# REGISTRATION

Submit this form with your regular registration  one form per school. No additional fees. Substitutions for students will be accepted at  Registration on the day of the contest. However, the same three students must participate in the Preliminary and the Final Rounds.

Note: During the Preliminary Round in the Multi-Purpose Room of the Student Center, one teacher must accompany each competing team and be available to work as a judge at another table during that time period. The same teacher may volunteer for two or three grade levels.

 GRADE 6 GRADE 7 SCHOOL: SCHOOL: SCHOOL PHONE NUMBER SCHOOL PHONE NUMBER STUDENTS: STUDENTS: A. A. B. B. C. C. TEACHER: TEACHER: GRADE 8 SCHOOL: SCHOOL PHONE NUMBER STUDENTS: A. B. C. TEACHER: