# Homework assignments

Homework usually consists of five problems, two of these problems will be randomly graded for a total of 10 MP. Remaining problems will be discussed in class.

## Understanding the problem

Eligibility for credit will be based on one of the following criteria:

• (FULL) Correctly understands the problem.
• (HALF) Problem is misunderstood in a significant way, but is not trivialized.
• (ZERO) Completely misunderstands the problem and/or trivializes the problem.

## Scoring

Each graded problem will be scored based on an ordered quintuple (1,1,1,1,1) based on the following:

1. Identification of problem-solving strategy used matches the evidence.
2. Evidence is appropriate for solving the problem.
3. Written explanation is clear and organized.
(step-by-step format works well, nothing is confusing)
4. Written explanation includes all key aspects of the solution.
(nothing is missing)
5. Final answer is consistent and correct

## Problem solving strategies

The table below highlights desired evidence for each problem solving strategy.

Strategy Evidence Written explanations
Diagram Diagram with key and/or key features explained. Explain how the diagram solves the problem.
Systematic list Systematic list with clear headings and/or key.

Explain system for creating list.

Explain how the list helps to solve the given problem.

Eliminate possibilities List possibilities. Optionally use systematic list. Explain why each possibility is eliminated. Steps work well here.
Matrix logic

Matrix convention: X's for not possible, O's for match.

Subscripts useful to denote clues.

Explain adjunct list or other notes.

Explain at least 3 key steps for constructing the matrix.

Look for pattern Identify pattern in words or formula.

Explain how to use pattern to solve problem.

Guess & check

Lucky guessing not allowed, so minimum of 3 guesses is required.

Typically organize guessing in a table.

Explain how the incorrect guesses lead to a correct guess.
Subproblems

Explicitly state each subproblem (or question).