Set Theory and Logic Unit Plan
Introduction to Set Theory and Logic
General Outcome: Develop critical thinking skills related to uncertainty.
SO1. Analyze puzzles and games that involve numerical and logical reasoning, using problem-solving strategies. [CN, ME, PS, R]
puzzles such as chess, Sudoku, Nim, logic puzzles, magic squares, Kakuro and cribbage.)
1.1 Determine, explain and verify a strategy to solve a puzzle or to win a game; e.g.,
1.1 Determine, explain and verify a strategy to solve a puzzle or to win a game; e.g.,
- guess and check
- look for a pattern
- make a systematic list draw or model
- eliminate possibilities
- simplify the original problem
- work backward
- develop alternative approaches.
1.2 Identify and correct errors in a solution to a puzzle or in a strategy for winning a game.
1.3 Create a variation on a puzzle or a game, and describe a strategy for solving the puzzle or winning the game.
1.3 Create a variation on a puzzle or a game, and describe a strategy for solving the puzzle or winning the game.
SO2. Solve problems that involve the application of set theory. [CN, PS, R, V]
2.1 Provide examples of the empty set, disjoint sets, subsets and universal sets in context, and explain the reasoning.
2.2 Organize information such as collected data and number properties, using graphic organizers, and explain the reasoning.
2.3 Explain what a specified region in a Venn diagram represents, using connecting words (and, or, not) or set notation.
2.4 Determine the elements in the complement, the intersection or the union of two sets.
2.5 Explain how set theory is used in applications such as Internet searches, database queries, data analysis, games and puzzles.
2.6 Identify and correct errors in a solution to a problem that involves sets.
2.7 Solve a contextual problem that involves sets, and record the solution, using set notation.
2.2 Organize information such as collected data and number properties, using graphic organizers, and explain the reasoning.
2.3 Explain what a specified region in a Venn diagram represents, using connecting words (and, or, not) or set notation.
2.4 Determine the elements in the complement, the intersection or the union of two sets.
2.5 Explain how set theory is used in applications such as Internet searches, database queries, data analysis, games and puzzles.
2.6 Identify and correct errors in a solution to a problem that involves sets.
2.7 Solve a contextual problem that involves sets, and record the solution, using set notation.
Mathematical Processes
- Connections [CN] Students are expected to make connections among mathematical ideas, other concepts in mathematics, everyday experiences and other disciplines
- Problem Solving [PS] Students are expected to develop and apply new mathematical knowledge through problem solving
- Reasoning [R] Students are expected to develop mathematical reasoning
- Visualization [V] Students are expected to develop visualization skills to assist in processing information, making connections and solving problems.
- Mental Estimation [ME] Students are expected to demonstrate fluency with mental mathematics and estimation.