Worksheet: Polya's Four-Step Problem Solving Instructions: Use Polya's four steps to solve each problem. Write down your thoughts and solutions for each step. Polya's Four Steps Recap: 1. Understand the Problem - Identify what is being asked and gather information. 2. Devise a Plan - Determine a strategy or approach to solve the problem. 3. Carry Out the Plan - Implement your solution strategy. 4. Look Back - Review and verify your solution. Problem 1: The Bookstore Puzzle A bookstore sells notebooks for P100 each and pens for P50 each. A student spends exactly P500 buying a combination of notebooks and pens. How many of each did they buy? Problem 2: The Speeding Car A car travels from City A to City B, a distance of 120 kilometers, at a constant speed of 60 km/h. On the way back, it travels at 40 km/h. What is the car's average speed for the entire trip? Problem 3: Sharing the Prize Money Three friends win a prize of P15,000. They decide to split it in the ratio 3:2:1. How much money will each friend receive? Reflection: What challenges did you face using the four-step method? How did Polya's method help you approach each problem systematically? SORING EXPERIENCE of
Worksheet: Polya's Four-Step Problem Solving Instructions: Use Polya's four steps to solve each problem. Write down your thoughts and solutions for each step. Polya's Four Steps Recap: 1. Understand the Problem - Identify what is being asked and gather information. 2. Devise a Plan - Determine a strategy or approach to solve the problem. 3. Carry Out the Plan - Implement your solution strategy. 4. Look Back - Review and verify your solution. Problem 1: The Bookstore Puzzle A bookstore sells notebooks for P100 each and pens for P50 each. A student spends exactly P500 buying a combination of notebooks and pens. How many of each did they buy? Problem 2: The Speeding Car A car travels from City A to City B, a distance of 120 kilometers, at a constant speed of 60 km/h. On the way back, it travels at 40 km/h. What is the car's average speed for the entire trip? Problem 3: Sharing the Prize Money Three friends win a prize of P15,000. They decide to split it in the ratio 3:2:1. How much money will each friend receive? Reflection: What challenges did you face using the four-step method? How did Polya's method help you approach each problem systematically? SORING EXPERIENCE of
Economics Today and Tomorrow, Student Edition
1st Edition
ISBN:9780078747663
Author:McGraw-Hill
Publisher:McGraw-Hill
Chapter3: Your Role As A Consumer
Section: Chapter Questions
Problem 21AA
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Transcribed Image Text:Worksheet: Polya's Four-Step Problem Solving
Instructions: Use Polya's four steps to solve each problem. Write down your thoughts and
solutions for each step.
Polya's Four Steps Recap:
1. Understand the Problem - Identify what is being asked and gather information.
2. Devise a Plan - Determine a strategy or approach to solve the problem.
3. Carry Out the Plan - Implement your solution strategy.
4. Look Back - Review and verify your solution.
Problem 1: The Bookstore Puzzle
A bookstore sells notebooks for P100 each and pens for P50 each. A student spends
exactly P500 buying a combination of notebooks and pens. How many of each did they
buy?
Problem 2: The Speeding Car
A car travels from City A to City B, a distance of 120 kilometers, at a constant speed of 60
km/h. On the way back, it travels at 40 km/h. What is the car's average speed for the entire
trip?
Problem 3: Sharing the Prize Money
Three friends win a prize of P15,000. They decide to split it in the ratio 3:2:1. How much
money will each friend receive?
Reflection: What challenges did you face using the four-step method? How did Polya's
method help you approach each problem systematically?
SORING EXPERIENCE
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