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Hi there! Today we will learn how to use a cool tool called a logic grid to solve brain puzzles.
A logic grid is a chart that helps you organize clues. We use it to match different things together, like finding out which pet belongs to which friend.
First, we must analyze our clues. If a clue says 'Ben does not have a cat,' we can put a red X in the grid where Ben and cat meet. This helps us rule out wrong answers.
Next, we look for matches. If we know 'Mia has a dog,' we put a green checkmark where Mia and dog meet. Because Mia has a dog, no one else can have the dog, and Mia cannot have any other pet!
Finally, we evaluate our plan to make sure it makes sense. If every person has exactly one pet, and every pet has one owner, then our logic puzzle is perfectly solved!
Sam and Pam are choosing balloons. One balloon is red and one is blue. Clue: Sam does not like red. Let us use our problem-solving model to find out who gets which balloon!
- Analyze: We have two people (Sam, Pam) and two colors (Red, Blue). The clue says Sam does not like red.
- Plan: We will make a grid. We will put an X for things that cannot be true, and a checkmark for things that must be true.
- Solve: Since Sam does not like red, we put an X under Red for Sam. This means Sam must have the Blue balloon! We put a checkmark there.
- Solve more: Since Sam has the Blue balloon, Pam cannot have it. We put an X for Pam and Blue. That leaves Red for Pam, so we put a checkmark there.
- Justify: Our grid now shows Sam has blue and Pam has red. This fits our clue perfectly because Sam does not have red.
- Evaluate: The solution is reasonable because both friends get exactly one balloon, and all clues are true.
