1999 Rubric for Session I Problem

 POINTS CORRECT ANSWER 4 Presented at least two solutions from the table below and recommended the solution with the lower cost. 2 Presented one solution from the table below. 0 Could not find any of the solutions from the table below.

Here are all possible combinations that produce a 4000 calorie diet:

 Number of Coconuts Number of Bananas Number of Eggs Calories from Fat Calories from Protein Calories from carbohydrates Cost per day 4 0 0 1200 800 2000 \$8.00 3 3 7 1070 1160 1770 \$7.15 3 4 6 1060 1080 1860 \$7.20 3 5 5 1050 1000 1950 \$7.25 3 6 4 1040 920 2040 \$7.30 3 7 3 1030 840 2130 \$7.35 2 10 10 900 1200 1900 Cheapest: \$6.50 2 11 9 890 1120 1990 \$6.55 2 12 8 880 1040 2080 \$6.60 2 13 7 870 960 2170 \$6.65 2 14 6 860 880 2260 \$6.70 2 15 5 850 800 2350 \$6.75

 POINTS PROBLEM UNDERSTANDING Understand the problem -- patterns, concepts, and approach 4 Recognizes that coconuts MUST be part of the diet in order to get sufficient carbohydrates Recognizes that coconuts are the most expensive, so the cheapest solution will include a minimum number of coconuts. 3 Recognizes that coconuts MUST be part of the diet in order to get sufficient carbohydrates 2 Developed a solution, but one of the requirements below was not met From 800 to 1200 calories from fat From 800 to 1200 calories from protein From 1600 to 2400 calories from carbohydrates. 1 Developed a solution, but more than one of the requirements (above) was not met 0 No attempt at response or clearly demonstrated a lack of understanding of the problem.

 POINTS STRATEGY Choose and apply a valid strategy 4 Chose a valid strategy: used a diagram, formula, or table, or guessed and checked. Applied the strategy correctly and completely to all parts of the problem. 3 Chose a valid strategy: used a diagram, formula, or table, or guessed and checked. Applied the strategy correctly but some breakdown in logic. 2 Strategy was only partly fit for the task. Strategy was partially or incorrectly completed. 1 Strategy did not apply to the task. 0 No attempted strategy.

 POINTS COMMUNICATION Explain all requested components of the final solution, using pictures, symbols, labels, and correct vocabulary 4 Described strategy and solution clearly, step-by-step, with all steps included. Clearly presented the solution, including appropriate labels, terminology, and symbols. Grammatical construction is basically correct. 3 Described strategy and solution clearly, but may have skipped steps, requiring the reader to make inferences. •• Clearly presented the solution, including appropriate labels, terminology, and symbols. May include awkward grammar. 2 Strategy/Solution was described, but steps may be missing and inferences cannot be made. Labels may be missing or directions may not have completely followed. 1 Strategy/Solution was not explained according to directions. 0 No evidence of explanation.

 POINTS CHECK FOR REASONABLENESS Demonstrate reasoning for method and final solution 4 For grade 6, team showed that fat, protein and carbohydrate calories fell within the required percentages. For grade 5, team showed that fat, protein, and carbohydrate calories fell within the required limits. 2 A claim was made that the answer was reasonable, but no supporting evidence was supplied. 0 No attempt was made to demonstrate the reasonableness of the result.