POLYA'S PROBLEM-SOLVING STRATEGY (PART 1)

Summary

This tutorial introduces George Pólya's problem-solving strategy, focusing on a mathematical problem involving an airline with flights from Manila to Davao via Cebu. The strategy involves understanding the problem, devising a plan, and carrying out the plan. The tutorial demonstrates how to set up equations based on the given data and solve for the number of passengers who disembarked in Cebu. The process includes defining variables, creating equations, and substituting values to find the solution, which is then checked for accuracy.

Takeaways

• 📚 The tutorial focuses on George Pólya's problem-solving strategy.
• 🔍 Step one in Pólya's strategy is to understand the problem thoroughly.
• 📈 Step two involves devising a plan, which includes writing equations and guessing possible answers.
• 🛫 The example problem involves calculating passenger numbers for an airline with flights from Manila to Davao via Cebu.
• 💼 The airline charges different fares for different legs of the journey: Manila to Cebu and Manila to Davao.
• 🎟️ A total of 180 passengers board the plane in Manila, and the total collected fare is 494,000 pesos.
• 🧮 The tutorial demonstrates setting up algebraic equations based on the given information to find the unknowns.
• 🔢 The solution process involves substituting values into equations and solving for the unknown variables.
• 💡 The tutorial suggests using a scientific calculator to find the value of x, which represents the number of passengers who got off in Cebu.
• 🔄 The final step is to review the answers to check for errors and ensure the solution is valid.

Q & A

What is the main topic of the tutorial?

The main topic of the tutorial is George Polya's problem-solving strategy.

What is the first step in Polya's problem-solving strategy?

The first step in Polya's problem-solving strategy is to understand the problem.

What should you do after understanding the problem according to Polya?

After understanding the problem, you should devise a plan which includes writing an equation and guessing possible answers.

How many steps are there in Polya's problem-solving strategy as mentioned in the script?

There are three steps in Polya's problem-solving strategy as mentioned in the script.

What is the sample problem used in the tutorial to illustrate Polya's strategy?

The sample problem is about calculating the number of passengers who got off a plane in Cebu on a flight from Manila to Davao with a stopover in Cebu.

What are the fares mentioned in the sample problem for different routes?

The fare from Manila to Cebu is 1800 pesos, and from Manila to Davao is 3500 pesos.

How many passengers boarded the plane in Manila according to the sample problem?

180 passengers boarded the plane in Manila.

What is the total fare collected from the passengers in the sample problem?

The total fare collected is 494 thousand pesos.

What variable is used to represent the number of passengers who got off in Cebu in the sample problem?

The variable 'x' is used to represent the number of passengers who got off the plane in Cebu.

What is the equation used to solve for 'x' in the sample problem?

The equation used to solve for 'x' is 1800x + 3500(180 - x) = 494000.

How many passengers got off the plane in Cebu according to the solution of the sample problem?

80 passengers got off the plane in Cebu according to the solution.