Inductive and Deductive Reasoning – Spatial Puzzles and Games
· I can solve problems involving inductive and/or deductive reasoning.
· I can use reasoning strategies to solve and explain the solutions to puzzles and games
o Guess and check
o Analyze a pattern
o Make a systematic list
o Create a drawing or model
o Eliminate possibilities
o Solve simpler problems
o Work backward
· I can create my own puzzles and games and describe the strategies needed to solve or win them.
Block Puzzles
1. Hoodamath - DuBlox
- Game link
- Hoodamath worksheet
- Other –
- The Hoodamath worksheet suggests that players work backwards. What are your thoughts about the effectiveness of this strategy? What other strategies might be effective?
- Create a DuBlox scenario that would be solvable in 7 moves.
- Create a Dublox scenario that would be impossible to solve.
2. Hoodamath – Briker 2
- Game link
- Other –
- I want to advance my brick 1 space to the right. What is the minimum number of moves and tiles needed.
3. Hoodamath – Bloxorz
- Game link
- Hoodamath worksheet
- Other –
- Create a Bloxorz scenario that would be solvable in 12 moves.
- Create a Bloxorz scenario that would be impossible to solve.
- If you were teaching a younger child how to play, what strategies would you show them?
River Crossing Puzzles
1. Goat Crossing
- Game Link
- Hoodamath worksheet
- Other –
- Write the “crossings” in order on a piece of paper. How many moves did it take? How can you be sure that this is the most efficient method?
- Design your own “river crossing” scenario that includes 5 people or items to cross. What is the minimum number of moves required?
- Design your own “river crossing” scenario that can be solved in 12 moves. What is the least number or people or items needed?
2. River crossing puzzle – Smartkit
- Game Link
- Other –
- Without reading the instructions, experiment with the game to see which combinations of people/animals can and cannot be left together. Develop a list of rules.
Other Puzzles and Games:
1. Fragments
- Game link
- Other –
- As you complete each level, make a list of the “lessons” or new strategies that you learn each time.
2. Set Daily Puzzle
- Game link
- Other –
- When first trying the game, do not take the tutorial. Experiment with sets to determine the rules of the game.
- How many cards would be in the complete deck? Explain how you determined your answer.
- Develop your own set of SET cards. What are your rules? Play your game with a classmate to see if they can determine your rules and find sets.
Deductive Reasoning Scenarios – Crime Scenes
1. Clue Scenario – Who Killed Mr. Brooks?
- PDF link
- Other –
- This deductive reasoning activity used tables to organise information. Did you find the tables necessary? What other strategies did you use to help sort and organize information?
2. Clue Scenario – The Deadly Picnic
- PDF link
- Other –
- How important is deductive reasoning to real-life crime scene investigators? Justify your answers with researched data.