1. NamePOWDue Date Date submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 Mr. Mangham’s Cars & Trucks is having a big sale. Luke and Graham are setting up the lot. Mr. Mangham gives them a diagram of the lot and these directions: “Put the 4-door car in front of the van. Put the jeep between the truck and the van. Put the sports car to the left of the 2 door and 4-door cars.” How did Luke and Graham set up the lot?

2. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 Yesterday at 8:00am Kelsey fed all of the fish in her fish tanks. She has five different fish, and each one is on a different feeding schedule. She feeds the glass fish every 2 days, the black molly every 3 days, and the catfish every 5 days. She feeds the eel every 2.5 days and the angel fish every 1.5 days. On which days in the next 30 will Kelsey feed at least 4 fish? Acc - 1

3. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 Bryan loved to count. One day Mr. Mangham dumped some cubes on Bryan’s desk. As might be expected, Bryan began to count the cubes. He reported the following to Mr. Mangham: “When I count the cubes by two, I have one left over; when I count the cubes by three, I have one left over; when I count the cubes by four, I have one left over and when I count by seven, I have none left over. There are less than 200 cubes.” From this information, can Mr. Mangham determine how many cubes Bryan has? If so, determine this number. If not, explain why. Acc – 2A

4. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 Valerie came upon an ancient castle. The castle has 20 huge doors, each guarded by a fierce dragon and numbered 1 to 20. The wizard who owns the castle has a strict rule about use of the doors. You may enter through any door except number 1. You are only permitted to leave through a door whose number is a factor or a multiple of the number of the entry door. You may not exit through the door you entered. If you leave through the wrong door, you will be forced to stay in Mr. Mangham’s class next year (what could be worse?). How many different entry/exit routes are possible in this ancient castle? Acc – 2B

5. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 Farmer Ann was chosen to go into town and spend the entire amount of $100 of a tax return on exactly 100 farm animals – some cattle, some sheep, and some horses. She discovered that sheep cost $0.50 each, cattle cost $1.00 each, and horses cost $10.00 each. This purchase, to buy exactly 100 animals for $100 and have some of each kind of animal, proved more difficult that she had thought it would be. Your job is to find a solution to Farmer Ann’s dilemma. Acc - 4

6. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 Kaitie moves five pictures around on the table and then steps back to look at the arrangement. She is arranging the photographs for a page in the school yearbook. The five pictures that she is working with are all the same size square. If each photo has to share at least one side with another photo, what are all the different ways she could place the pictures on the page? (Rotations are considered the same shape. A reflection which produces a different shape is considered a new shape.) Acc – 5A

7. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 Kasi is selling ads for sports section of the local newspaper. The Texas Rangers, Dallas Cowboys, Dallas Stars, and Dallas Mavericks (and others) all want to buy ads, but Kasi only has one page left to fill. The sizes of her ads are one-half, one-fourth, one-eighth, and one- sixteenth of a page. Before Kasi sells the ads she has to figure out all of the different combinations of her ads that would fill one page. How many different combinations are there? Acc – 5B

8. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 At 7:00 one summer morning, Harry and Hermione hopped into their speedy motorboat and left Hogwarts Dock. They arrived at Dumbledore Wharf 35 minutes later. During the busy summer months, a car ferry departs from Dumbledore Wharf every 5 minutes. Tourists crowd onto the ferry for the 55 minute ride to Hogwarts Dock. If Harry and Hermione followed the route that the car ferries take, how many car ferries did they see on their trip? Acc - 7

9. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 The State Championship in ice skating is next month. As coach, you must decide which of your 3 skaters to send to the meet. In the last 5 local competitions, here are the girls’ scores on a scale of 1 to 10. Which skater will you send? Analyze at least 3 different mathematical ways you could pick your winner before making a final decision. Acc – 8A SEPTOCTNOVDECJAN Meg9.69.8 9.7 Beth9.210.09.510.09.6 Jill9.49.59.79.89.9

10. NamePOWDue DateDate submitted Total points / 30 Please attach all scratch work to your final copy. All work should be on another sheet of paper. Always write in COMPLETE sentences! “Algebra” may not be used as a strategy. ALL submitted work must be in your writing or typed on a computer. You must be able to explain all work on your POW. Remember, the main idea behind these problems is to be able to explain the process involved in problem solving, not only to get a “correct answer.” PROBLEM SOLVING STRATEGIES Make an organized listMake a picture or diagramUse or look for a pattern Use or make a tableBrainstormGuess and check Work backwardsMake it simplerAct out or use objects 1. STATEMENT: In your OWN WORDS restate the problem providing enough details to solve the problem. 0 1 2 3 4 5 2. PROCEDURE: a. Solve the problem, then EXPLAIN step by step how you found the solution. Provide DETAILS!!! 0 1 2 3 4 5 6 7 8 b. Show ALL your work, steps, drawings or tables. Label and organize all work on your final copy. 0 1 2 3 4 5 6 c. Name the main strategy that you used to solve this POW. Why? 0 1 2 d. Name one strategy that would not work to solve this POW. Why? 0 1 2 3. CONCLUSION: a. What is your answer? 0 1 2 3 4 b. Could there be other CORRECT answers to this same problem? 0 1 c. What 6 th grade (or higher) math related concept did this POW teach you or reinforce that can be used for future problems? 0 1 2 You are a travel agent and must make a recommendation of what city the Griswold family should visit. The family prefers: temperatures in the 70’s, sunny days, low humidity, and low hotel and food costs. Analyze different ways in which you could rank the cities from most desirable to least desirable. Then choose the one way that you feel is the best solution. Acc – 8B Hrs. of sunshine Afternoon Temp % Humidity % Chance of a dry day Cost ($) per day Athens7:26846878123 Hong Kong6:28857258169 Paris5:37705481200 London6:13676568145 Tokyo5:32766561212