Homework assignments

Homework usually consists of five problems, two of these problems will be randomly graded for a total of 8 MP. Remaining problems will be discussed in class.

Please check the class schedule for problem assignments.

Understanding the problem

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

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

Scoring

Each graded problem will be scored based on an ordered quadruple (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 complete.
(step-by-step format works well)
4. 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 was developed and/or 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, possibly with a 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).

Analyze units Identify goal, which may focus on units Clear labels with canceling. Other details to understand solution, like assumptions (e.g., 365.25 days per year).
Easier related problem Explicitly state the easier problem, including how it is easier or assumptions made. After solving easier problem, explain what information was gained for actual problem.
Physical representations Document what manipulatives were used. Explain solution to problem (visual representations may help).
Work backwards Shows steps (either forward or backward) Actions given for steps. Final answer clearly indicated.
Venn diagrams Provide Venn diagram. Explain at least two key steps for creating the Venn diagram or using the diagram. Use of ∪ or ∩ are allowed.
Algebra

Define variables.

Formulas.

Explain formulas and keep algebraic work clear and organized.
Finite differences Create finite differences tables. Show how to solve the formula's coefficients and how to get the answer.
Organize more ways Give organization (tree diagram or 2D array) with key.

Explain how organization constructed.

Explain how organization was used to find answer.

Change focus Discuss how problem is interpreted with different focus.
(e.g., POV, complementary/opposite problem, different representation)
Explain how to solve problem with new focus.