# Unit 2

# Problem Solving Process

# Problem Solving Process

Problem Solving Process

## Journal Entry

Journal Entry

### How many breaks would it take to break a candy bar into 12 equal pieces?

How many breaks would it take to break a candy bar into 12 equal pieces?

## Candy bar activity

Candy bar activity

### o Your task is to determine how many "breaks" it will take to break the candy bar into 12 equal pieces. One break of one piece of the candy bar will result in that one piece being divided into two pieces.

o Your task is to determine how many "breaks" it will take to break the candy bar into 12 equal pieces. One break of one piece of the candy bar will result in that one piece being divided into two pieces.

### o Working together with their partner or group, have the students discuss and then write their plan for solving the problem. They may revise their guess at this point.

o Working together with their partner or group, have the students discuss and then write their plan for solving the problem. They may revise their guess at this point.

### o Once this is completed, your team should implement the plan by opening the candy, breaking the candy, and counting the number of breaks it takes to get 12 equal pieces.

o Once this is completed, your team should implement the plan by opening the candy, breaking the candy, and counting the number of breaks it takes to get 12 equal pieces.

# Handshake and Fence post Activity #2

Handshake and Fence post Activity #2

## For each problem, complete the following information.

For each problem, complete the following information.

## Understanding the problem:

Understanding the problem:

### What data or information is known?

What data or information is known?

### What is unknown?

What is unknown?

### What are the conditions?

What are the conditions?

## Plan the solution: Show your plan for solving this problem.

Plan the solution: Show your plan for solving this problem.

## Carry out the plan: Using your plan, show your work and your solution.

Carry out the plan: Using your plan, show your work and your solution.

## Review and discuss your solution: Reflect on your solution.

Review and discuss your solution: Reflect on your solution.

# Complete problems #1 and #2 individually.

Complete problems #1 and #2 individually.

### 1. Handshake Problem #1: Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake? If there are N (where N > 0) people in the room, how many hands will you shake?

1. Handshake Problem #1: Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake? If there are N (where N > 0) people in the room, how many hands will you shake?

### 2. Fence Post Problem: You need to build one side of a fence that is 12 yards long. This fence will be built with fence posts and rails that connect one fence post to another. If each fence post is 1 yard away from the next fence post, how many fence posts will be needed for this side of the fence? How many fence posts will be needed for a side of a fence that is N (where N > 0) yards long?

2. Fence Post Problem: You need to build one side of a fence that is 12 yards long. This fence will be built with fence posts and rails that connect one fence post to another. If each fence post is 1 yard away from the next fence post, how many fence posts will be needed for this side of the fence? How many fence posts will be needed for a side of a fence that is N (where N > 0) yards long?

### Read and begin planning your solution for problems #3 and #4. These problems will be completed in class tomorrow with your group. Each group will present their solutions to the class.

Read and begin planning your solution for problems #3 and #4. These problems will be completed in class tomorrow with your group. Each group will present their solutions to the class.

### 3. Handshake Problem #2: Assume there are 10 people in a room, including you. Each person in the room must shake hands one time, and only time, with all the other people in the room. How many handshakes will occur? If there are 20 people in the room, how many handshakes will occur? If there are N (where N > 0) people in the room, how many handshakes will occur?

3. Handshake Problem #2: Assume there are 10 people in a room, including you. Each person in the room must shake hands one time, and only time, with all the other people in the room. How many handshakes will occur? If there are 20 people in the room, how many handshakes will occur? If there are N (where N > 0) people in the room, how many handshakes will occur?

### 4. Journal Entry Reflections: Why are problems like these important to learn how to solve? How could this type of solution be of benefit to a carpenter, a chef a teacher?

4. Journal Entry Reflections: Why are problems like these important to learn how to solve? How could this type of solution be of benefit to a carpenter, a chef a teacher?