9/26/2015.  What do the steps in the problem solving process mean? 1. Understanding the problem. a. What data or information is known? b. What is unknown?

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Presentation transcript:

9/26/2015

 What do the steps in the problem solving process mean? 1. Understanding the problem. a. What data or information is known? b. What is unknown? c. What are the conditions? 2. Plan the solution. a. Show your plan for solving this problem. 3. Carry out the plan. a. Using your plan, show your work and solution. 4. Review and discuss your solution a. Reflect on your solution

 Agenda:  Do Now  Handshake Activity – Individual work  Handshake Activity 2 Partner work  Poster work + Creativity  Gallery walk  Exit Ticket  Content Objectives Students will be able to:  Name and explain the steps in the Problem solving process.  Apply different strategies to make and carry out a plan.  Determine if the solution is successful.

 Using the problem-solving process, work by yourself and solve the following problem.  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?  Using the problem-solving process, work by yourself and solve the following problem.  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? Strategies that can help Draw a diagram/picture Systematic list Find a pattern Guess and check. Create a table Strategies that can help Draw a diagram/picture Systematic list Find a pattern Guess and check. Create a table Time for activity : 10 min

1. Understanding the problem. a. Known: There are 20 people in the room. Must shake hands with everyone. b. Unknown? How many hands will you shake? c. Conditions? How many times can you shake hands? Can you use left/right hands? How do conditions change the final answer? 2. Plan the solution. a. What was your plan? 3. Carry out the plan. a. Did you carry out your plan? What did you need? 4. Review and discuss your solution a. Was there a better solution? Observations?

 Using the problem-solving process, work by yourself and then with a partner to solve.  Assume there are 10 people in a room, including you. Each person in the room must shake hands only 1 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 you occur?  Using the problem-solving process, work by yourself and then with a partner to solve.  Assume there are 10 people in a room, including you. Each person in the room must shake hands only 1 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 you occur? Strategies that can help Draw a diagram/picture Systematic list Find a pattern Guess and check. Create a table Strategies that can help Draw a diagram/picture Systematic list Find a pattern Guess and check. Create a table Time for activity : 10 min

1. Understanding the problem. a. Known: There are 10 people in the room. Must shake hands only 1 time with each person. b. Unknown? Total number of handshakes will occur? c. Conditions? Can shake hands only 1 time with each person. Handshakes must be added up. 2. Plan the solution. a. What was your plan? What is the most efficient way 3. Carry out the plan. a. Did you carry out your plan? What did you need? Would a simple table help? 4. Review and discuss your solution a. Was there a better solution? Observations?

On a poster, please complete the steps including the problem solving steps that you used to solve your 2 nd problem. Attach to wall. +bonus for creativity 1. Understanding the problem. a. What data or information is known? b. What is unknown? c. What are the conditions? 2. Plan the solution. a. Show your plan for solving this problem. 3. Carry out the plan. a. Using your plan, show your work and solution. 4. Review and discuss your solution

Person# of handshakes with people left in line. A9 B8 C7 D6 E5 F4 G3 H2 I1 j0 Total = 45

Why is it important to use the problem solving process to frame and solve problems? a. How can this type of solution be of benefit to an engineer? b. How can this type of solution be of benefit to a Carpenter? c. How can this type of solution be of benefit to a Teacher? d. How can this type of solution be of benefit to a chef? e. How can this type of solution be of benefit to a computer programmer?