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Hey there! Ready to become a logic detective? Today, we will learn how to use a grid to solve puzzles step-by-step.
A logic grid is a helpful tool that lets us organize clues and rule out options. We use a problem-solving model to analyze the given information, make a plan, find the solution, and check our work.
We start by analyzing our clues and marking what is true with a checkmark and what is false with an 'X'. When you place a checkmark, you can fill the rest of that row and column with 'X's because each item only matches one thing.
Finally, we evaluate our completed grid to ensure the solution is reasonable. We check our final matches back against the original clues to make sure everything fits perfectly without any contradictions.
Two friends, Leo and Maya, own different pets: a fish and a bird. Leo is allergic to feathers. Use a problem-solving model to determine who owns which pet.
- Analyze the given information: We have two people (Leo, Maya) and two pets (fish, bird). We know Leo is allergic to feathers, which means he cannot own the bird.
- Formulate a plan: Create a 2x2 grid with Leo and Maya as columns, and bird and fish as rows.
- Determine the solution: Put an 'X' in the box where Leo and bird meet. Since Leo does not own the bird, he must own the fish (put a checkmark). Since Leo owns the fish, Maya cannot own the fish (put an 'X'). This leaves Maya with the bird (put a checkmark).
- Justify the solution: Leo owns the fish, and Maya owns the bird.
- Evaluate the process: Check the solution against the clue. Leo has the fish, which has no feathers. This matches his allergy perfectly. The solution is reasonable!
