Learn Polya’s problem-solving process and strategies, such as divide and conquer and pattern identification, to enhance your analytical skills, tackle puzzles, and solve real-world problems.

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Problem-solving skills are vital for personal growth, academic success, and professional achievement. They enable resilience, innovation, and effective decision-making. This course equips you with a lifelong skill set by teaching Polya’s problem-solving process and its applications in tackling real-world problems, games, and puzzles.

You will explore strategies, including top-down and bottom-up approaches, divide and conquer, stepwise refinement, pattern identification, and logical reasoning through puzzle-solving and computing logic.

By the end of the course, you’ll master analytical skills and critical thinking to apply Polya’s method and other strategies to complex challenges. This comprehensive approach establishes a strong foundation for systematically solving intricate problems.

Problem Solving

Reflect on the steps taken in the previous problem and consider how to employ the analogy method to a different problem.

# Task

A pizza company offers a 15-inch pizza for $6.99\. They introduced a new deal---they  are now offering two 10-inch pizzas for the same amount.

You have to place an order for your friends, and your budget is $7\. Which deal should you use to get the most pizza for your $7? 

If you’re unsure how to do this, click the “Show Hint” button.

Explore how to use problem-solving techniques and geometric reasoning to determine the better pizza deal within a budget. This lesson helps you apply analogy methods and critical thinking to everyday choices, enhancing your analytical skills and decision-making abilities.

Exercise