HIGHLINE
SCHOOL DISTRICT MATH OLYMPIAD March 25, 2000
1
Circle Problem Scoring Guide
CORRECT
ANSWER:
Points 
Look for the following: 
4 
The correct answer is given: · 190 lines 
0 
· Answer is not correct. 
PROBLEM
UNDERSTANDING
What did you
notice about patterns? How did that help you approach the problem
Points 
Look for the following: 

4 
Noticed two of the following patterns · The number of lines is D * (D1) / 2 where D is the number of dots · If you draw 19 lines from point A, then 18 new lines can be drawn from point B, 17 from C, etc to form the sum 19 + 18 + 17 + ... + 1 =190 · The following sequence is recognized:


3 
· Noticed one of the patterns mentioned above 

2 
· Expressed an understanding of the problem but did not mention a pattern 

1 
· The task is misunderstood 

0 
· No attempt at response. 
STRATEGY
Students were
asked: What strategy did you use? Why
did you choose it?
Points 
Look for the following: 
4 
· A valid strategy is used: (make a table, draw lines and count, develop a sequence, or write an equation 
3 
· A valid strategy is used, but may have breakdown in logic. 
2 
· Strategy was described, but steps may be missing · Labels may be missing or directions may not have completely been followed 
1 
· Strategy was not explained according to directions, or the reasoning is confused (but there was one) 
0 
· No attempted strategy, just answers 
COMMUNICATION
Students were
told: Explain your reasoning using sentences, pictures. or tables
Points 
Look for the following: 
4 
· Described strategy and solution clearly and completely, stepbystep, with all steps included · Appropriate labels, terminology, and symbols are used 
3 
· Described strategy and solution, but steps may be missing from the explanation. The evaluator is required to infer that intermediate steps were performed correctly · Appropriate labels, terminology, and symbols are used 
2 
· Strategy was described, but steps may be missing or out of order 
1 
· Strategy was not explained according to directions, or reasoning is confusing 
0 
· No attempt to explain 
REASONABLE
RESULT
Student was
asked: How do you know your answer was reasonable? Did you work the problem a different way?
Points 
Look for the following: 
4 
· Review used a different approach to support the result · Review demonstrated correctness of work (showed work) · Explained why the result makes sense 
3 
· The result was checked using the same approach as initially 
2 
· A statement is make about checking the result without supporting information 
1 
· A check was done but it was not valid 
0 
· No attempt was made to demonstrate the reasonableness of the result 