Problem of the Week (Jan. 22, 2018)
Captured in Time
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
Time capsules are a fun way for people to store away meaningful items from their lifetime so people far into the future can find them and study them. Museum experts found a time capsule under the corner of the Massachusetts State House. The time capsule was buried there in 1795.
Level 1: Old, old money: Inside the time capsule were 24 coins with different shapes than you are used to seeing, including hexagon shaped coins. If 5 of the coins were hexagon shaped, how many were not hexagon shaped? Bonus: Draw a hexagon.
Level 2: How long ago?: The capsule was buried in 1795. Now it is the year 2018. How many years ago was the time capsule buried? Bonus: If you buried a time capsule this year and dug it up in 37 years, what year would that be?
Level 3: Bar models are your friend: Pretend you make a time capsule at some point in your life and then open it 25 years later. Your age when you open it is 6 times the age you were when you made the capsule. How old are you when you open it?
(Hint: Bar models will make this problem very easy. If you want a bigger hint as to what kind of bar model will help, contact Ms. Simonson.)
Thank you to Bedtime Math for the inspiration.