WASHINGTON STATE MATHEMATICS COUNCIL

1999 Rubric for Session I Problem

Grades 5 and 6

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.