Scoring Guide for the Mango Problem

Scores will be based upon the following:

POINTS

CORRECT ANSWER

4

• Answer is correct: 18 mangoes

0

• Answer is not correct (other than 18 mangoes)

 

POINTS

PROBLEM UNDERSTANDING
Understand the patterns, concepts, and approach

4

• Shows correct understanding of the concept of fractional parts.
• Shows understanding that each member of the royal household took a fraction of the remaining mangoes as opposed to the original number of mangoes.
• Recognized a pattern in the number of mangoes taken. Each person (dog) took the same number of mangoes.

3

• Understands the concept of fractional parts.
• Understands that fraction is a part of the remaining mangoes.
• Fails to mention that every person took the same number of mangoes.

2

• Understood the concept of fractional parts.
• Fails to show that each person took a fraction of the remaining mangoes, as opposed to a fraction of the orginal number of mangoes.

1

• The task is misunderstood
• Concept of fractional parts is applied incorrectly

0

• No attempt at response

 

POINTS

STRATEGY
Choose and apply a valid strategy

4

• Choice of a valid strategy: visual representation, guess and check, or working backwards
• Applied the strategy correctly and completely
• Provided rationale for choice of strategy over other strategies.

3

• Choice of a valid strategy: visual representation, guess and check, or working backwards
• Applied the strategy correctly and completely

2

• Strategy was partially or incorrectly completed.

1

• Strategy did not apply to this problem.

0

• No attempted strategy

 

POINTS

COMMUNICATION
Explain the reasoning at each step, using pictures, symbols, and labels

4

• Described strategy and solution clearly and completely, step-by-step
• Correct presentation of solution, including appropriate labels, terminology, and symbols

3

• Generally described strategy and solution clearly, step-by-step
• Followed directions for presenting solution, including appropriate labels, terminology, and symbols, but not as clearly as a 4, above.

2

• Strategy was described, but steps may be missing
• Labels may be missing or directions may not have completely followed

1

• Strategy was not explained according to directions or reasoning is confusing.

0

• No attempt to explain

 

POINTS

REASONABLE RESULT
Review the work and show why the result is reasonable

4

• Review used a diffferent approach to support the result
• Review demonstrated correctness of work (show work)
• Explained why the result makes sense

3

• The problem was reworked using the solution to check its accuracy.

2

• The check for reasonableness was not complete

1

• The check for reasonableness was not valid.

0

• No attempt was made to demonstrate the reasonableness of the result