Check This Space for a new POTW at the beginning of every week.

**POTW Writeup Instructions:**

We are going to set up a single Google Doc for all POTW (same as we did for Badges). Title this Google Doc LAST NAME, FIRST NAME P-A POTW 2018/19 and share it with Mr. Bezaire via email.

Every POTW will be turned in using the same format, with 6 parts. The 6 parts are described below:

*A) Understand the Problem*: Show me that you understand what the problem is asking. This may involve re-writing the problem in your own words, explaining what the question is asking, describing the various parts of the question, or something else. You must, however, show that you understand the question.

*B) Devise a Plan or Strategy*: Come up with a plan to solve the problem. Some possible strategies include: Guess and check, looking for a pattern, making a table, drawing a picture, sketching a graph, doing a simpler problem, using a formula, writing an equation, using inductive/deductive reasoning, examining similar problems, making a diagram, working backwards, some combination of those strategies, or something else entirely. In this section, you should explain which strategy (strategies) you are using, and why they are appropriate for the problem. **If you would like help about when certain strategies are more helpful than others, click here to see a guidelines sheet. **

*C) Solve the Problem*: Using whatever strategy you chose in B), solve the problem.

*D) Answer the Question*: Just because you correctly solve something doesn’t necessarily mean that you answer a given question! Make sure you answer the question from the problem.

*E) Check your Work:* More than just “plugging back in”, you should explain why your answer seems reasonable for the given problem and why you are confident in your answer.

*F) Reflection*: Briefly write about the problem solving process. Did you make any false steps? Was it harder/easier than you initially thought? Were there any other strategies you feel could have worked better now that you have solved the problem? In this section, you should also explain any help that you received on the problem.

Each POTW has three “levels”, arranged by increasing difficulty level. Higher levels do not increase your grade, but rather give you the opportunity for growth and challenge.

### POTW #15 Assigned 05/06/19 Due 05/13/19 (day after for Blue period)

### POTW #14 Assigned 04/01/19 Due 04/15/19 (day after for Blue period)

### POTW #13 Assigned 03/24/19 Due 04/01/19 (day after for Blue period)

Level 1:

*Vocab help: Factorial numbers click here, Triangle numbers click here*

Level 2 (Solve Level 1 and also complete this one):

*Vocab help: Factorial numbers click here, Triangle numbers click here*

Level 3 (Solve Levels 1 and 2 and also complete this one):

Create a problem/pattern similar to the ones above. Make sure that your string of six descriptors has only one unique solution (For example “Even Odd Even Odd Even Odd” won’t work..). Use the Number Gossip website to help you discover some cool number properties that you can use to help you describe your pattern.

### POTW #12 Assigned 03/04/19 Due 03/11/19 (day after for Blue period)

### POTW #11 Assigned 02/11/19 Due 02/19/19 (the day after for Green Period)

### POTW #10 Assigned 01/14/19 Due 01/28/19 (Two weeks due to the short MLK week)

#### POTW #9 Assigned 12/03/18 Due 12/10/18

#### POTW #8 Assigned 11/19/18 Due 12/03/18 (12/04/18 for Blue Period…this is a two-week POTW due to the Thanksgiving holiday)

#### POTW #7 Assigned 11/12/18 Due 11/19/18 (one day later for Blue Period)

#### POTW #6 Assigned 10/8/18 Due 10/22/18 (one day later for Blue period, this is a two-week POTW)

#### POTW #5 Assigned 09/24/18 Due 10/01/18 (one day later for Blue period)

#### POTW #4 Assigned 09/17/18 Due 09/24/18 (one day later for Blue period)

#### POTW #3 Assigned 09/04/18 Due Monday September 17 (Tuesday 18th for Blue period)

A rectangular block measuring 8 units by 10 units by 6 units is made up of cubes measuring one unit on a side. The base of the block is 10 units by 8 units. The outside of the block (not including the base) is painted red.

#### POTW #2 Assigned 08/27/18 Due First class the following week (varies b/c of Labor Day)

A train that is one-mile long travels at 30 mph. Its front end enters a tunnel one mile long at 4:00 PM.

#### POTW #1 (We will do this in class, step-by-step, so you have a complete example)

Raul needs to be at the bus stop by 7:30 AM to catch a ride to school. It takes him 15 minutes to get dressed, 20 minutes to eat breakfast, 10 minutes to walk his dog, and 5 minutes to walk to the bus stop.

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