HIGHLINE SCHOOL DISTRICT                                                          MATH OLYMPIAD  March 25, 2000

 2

Cell Phone Problem Scoring Guide

CORRECT ANSWER:

 Points Look for the following: 4 One or both of the following statements ·         If Sally makes 84 or more calls per month she should choose the corporate plan.  ·         If Sally makes 83 or fewer calls per month she should choose the individual plan 0 ·         Answer is not correct.

PROBLEM UNDERSTANDING

What did you notice about patterns?

 Points Look for the following: 4 ·         Notices that for few calls individual plan is better than corporate ·         Noticed that Sally saves 30 cents on each corporate call but pays \$25 extra per month.  Recognizes that it is necessary to know  how many 30 cent calls could be made for \$25 to determine the cross-over point from individual to corporate. 3 ·         Notices that for few calls individual plan is better than corporate ·         Notices that for many calls corporate plan is better ·         Recognizes that the change for each additional call is constant 2 ·         Notices that for few calls individual plan is better than corporate ·         Notices that for many calls corporate plan is better ·         Did not extend the pattern any further 1 ·         The task is misunderstood 0 ·         No attempt at response.

STRATEGY

Students were asked: What strategy did you use?

 Points Look for the following: 4 ·         A valid strategy is used:  use a rule, guess and check, make a table, write equations, draw a graph 3 ·         A valid strategy is used, but may have breakdown in logic. 2 ·         Strategy was applied , 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, step-by-step, 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