MMW Midterms

Inductive Reasoning

General conclusion from specific examples examined.

Pattern Recognition

Identifying trends to form general conclusions.

Conjecture

Opinion based on incomplete information.

Deductive Reasoning

Conclusion from general principles to specific cases.

Syllogism

Logical reasoning from two linked premises.

Logic Puzzles

Problems solved using deductive reasoning visually.

Elimination

Finding correct answers by working backwards.

Polya's Strategy

Four steps: Understand, Plan, Execute, Review.

Understand the Problem

Clear comprehension of the problem at hand.

Devise a Plan

Creating strategies to solve the problem.

Carry Out the Plan

Implementing the devised strategy effectively.

Review the Solution

Evaluating the solution against the problem facts.

Sequence

Ordered list of numbers, e.g., 5, 14, 27.

nth-Term Formula

Formula to find any term in a sequence.

Difference Table

Displays differences between successive sequence terms.

KenKen

Arithmetic puzzle improving calculation and logic skills.

Cages in KenKen

Areas with target numbers and operations in puzzles.

Freebie in KenKen

Single square cage with no operation.

Period of Pendulum

Time for one swing, depends on length.

Transitive Property

If A=B and B=C, then A=C.

General to Specific

Deductive reasoning flow from broad to narrow.

Bottom-Up Reasoning

Inductive reasoning starts with specific instances.

Mathematical Operations

Functions like +, -, ×, ÷ used in puzzles.