Problem of the Week (March 12, 2018)

The Knights of the Bar Models

Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.

SHOW ALL YOUR WORK

Winter is almost over, spring break starts soon. So let’s leave winter behind with some challenging word problems. And for those that want more great problems, check out Noetic Learning

Level 1: Sir Rope-a-lot: Sir Rope-a-lot has a 36 foot long rope. He wants to cut it into 2 pieces but they do not have to be the same length. However, no piece of rope can be less than 4 feet long. Make a chart or table to show Sir Rope-a-lot all the different ways he could cut the rope into 2 pieces (example: he can cut the rope into a 4 foot piece and a 32 foot piece because 4 + 32 = 36).

Level 2: Sir Rope-s’more: Sir Rope-a-lot’s friend is named Sir Rope-s’more. He has a rope that is 28 feet long. He wants to cut the rope into 2 pieces, but he wants the longer piece to be 4 feet longer than the shorter piece. Draw a bar model or make a chart to figure out the answer to both questions below.

How long is the longer piece of rope?

How long is the shorter piece of rope?

Level 3: Sir No-rope: Sir No-rope doesn’t have any rope, but he does have 3 friends named Rina, Maria, and Addie. He is trying to figure out the age of each friend. He knows their total age is 54 years. He knows that Rina is 3 times older than Maria. He also knows that Addie is twice as old as Maria. Draw a bar model that compares the 3 people and use it to answer the question. How old is Maria?

Bonus: How old is Rina? How old is Addie?

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Please read: Ms. Simonson is thinking about some Breck students participating in a math contest this spring or fall. It will be just for fun. If you are interested, please put your full name and class on this line: _________________________________________________________