Scoring Guide for the Farmer Problem
The total score will be the sum of the 5 scores below. (maximum score = 20)
POINTS 
CORRECT ANSWER  See chart following this section 
4 
• 2 or more correct answers are given (see answer table below) 
3 
• 1 correct answer is given (see answer table below) 
0 
• No correct answer is given (not in the table below) 
POINTS 
PROBLEM UNDERSTANDING 
4 

3 

2 

0 
• No attempt at response, or misunderstood problem. 
POINTS 
STRATEGY 
4 
• Choice of a valid strategy: visual representation, make a table, guess and check, or analyze using fractions 
2 
• A good strategy was chosen, but was partially or incorrectly completed. For example, they made a table but the table had errors. 
1 
• Strategy did not apply to this problem. 
0 
• No attempted strategy 
POINTS 
COMMUNICATION 
4 
• Described strategy and solution clearly and completely, stepbystep 
2 
• Strategy was described, but steps may be missing 
1 
• Strategy was not explained according to directions or reasoning is confusing. 
0 
• No attempt to explain 
POINTS 
REASONABLE RESULT 
4 
• Review used a different approach to support the result 
3 
• The problem was reworked using the same approach to check its accuracy. 
2 
• The check for reasonableness was not complete, or they said something like "we checked our result." 
0 
• No attempt was made to demonstrate the reasonableness of the result 
ANALYZE USING FRACTIONS  The team that uses this approach abstracts the problem into fractions of an acre, and then solves the problem by using fraction arithmetic. 
MAKE A TABLE  Made a table with labelled columns showing vegetable, number of sacks, total area for this vegetable, and totals at the bottom. 
MAKE A PICTURE  Made a picture breaking the acre up into 12ths (the common fraction of 1/3,1/4,and 1/6). 
GUESSANDCHECK  Randomly guessed at numbers of sacks of various vegetables and stumbled upon a valid result. This is a valid but timeconsuming strategy for this problem. 
Coverage=> (1/3) (1/4) (1/5) (1/6) (1/12) acre acre acre acre acre Sol. #Sacks #Sacks #Sacks #Sacks #Sacks No. Corn Potatoes Squash Beans Carrots 1 0 1 0 1 7 2 0 1 0 2 5 3 0 1 0 3 3 4 0 1 0 4 1 5 0 2 0 1 4 6 0 2 0 2 2 7 0 3 0 1 1 8 1 0 0 1 6 9 1 0 0 2 4 10 1 0 0 3 2 11 1 1 0 0 5 12 1 1 0 1 3 13 1 1 0 2 1 14 1 2 0 0 2 15 1 2 0 1 0 16 2 0 0 1 2 17 2 1 0 0 1 