- analysis of conditional statements
- analysis of puzzles and games involving numerical and logical reasoning
- making and justifying decisions
- solving problems.
[C, CN, ME, PS, R]
| (a) |
Develop, generalize, verify, explain, and apply strategies to solve a puzzle or win a game such as:
|
| (b) |
Identify and correct errors in a solution to a puzzle or in a strategy to win a game. |
| (c) |
Create a variation on a puzzle or game and describe a strategy for solving the puzzle or winning the game. |
| (d) |
Analyze an "if-then" statement, make a conclusion, and explain the reasoning. |
| (e) |
Make and justify decisions related to "what-if?" questions, in contexts such as probability, finance, sports, games, or puzzles, with or without technology. |
| (f) |
Write the converse, inverse, and contrapositive of an "if-then" statement, determine if each new statement is true, and if it is false, provide a counterexample. |
| (g) |
Critique statements such as "If an 'if-then' statement is known to be true, then its converse, inverse, and contrapositive also will be true". |
| (h) |
Identify and describe situations relevant to one's self, family, and community in which a biconditional (if and only if) statement can be made. |
| (i) |
Solve situational questions, using a graphic organizer such as a truth table or Venn diagram, that involve logical arguments based upon biconditional, converse, inverse, or contrapositive statements. |
