# Problems Of The Week

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

### POTW #8 (Assigned 04/11/22, Due 04/18/22) (one day later for Blue Period)

Level 1:

Vocab help:  Factorial numbers listed here and Triangle numbers listed here.

Level 2 (finish Level 1 and this next one for Level 2):

Vocab help:  Factorial numbers listed here

Level 3:

Finish Level 1 and Level 2 above.  Then, create your own “Fill in these six boxes with consecutive integers” puzzle.  Use the Number Gossip website to come up with at least one category that wasn’t used in the first two puzzles above.

### POTW #6 (Assigned 01/31/22, Due 02/14/22 – Two weeks)

Alternate Level 3 for the above — if you can’t find the answer, or don’t have that much time to spend finding the answer, answer this instead:  How would you know when you found the largest number of nuggets that you can’t purchase?

### POTW #2 (Assigned 9/27/2021 Due 10/4 2021)

POTW #1 (Assigned 9/2/2021 Due 9/13/2021)

POTW #0:

(We will do this one together in class!)

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.