EDUC 411

Lesson #1 (May 10, 2016)

  • Course Outline [docx]
  • Homework: You are backpacking through Europe. You have one month left until your flight home, but you have run out of money. However, you have a 50 link gold chain and you have found a hotel that is willing to accept one link per night for payment of room and board. However, the manager wants payment every day and he is willing to help you out by cutting links for you. The problem is that he wants one gold link payment for every link he cuts. What is the most number of links that you will have left when you fly home?

Lesson #2 (May 17, 2016)

  • Fractals [pdf]
  • Revised Course Outline [docx]
  • Producibles Rubric [docx]
  • Group Problem [docx]: Consider a string of 1’s and 0’s. Chunk this string into adjacent pairs starting at the left and then evaluate each pair. If a pair matches replace the pair with a 0, if it doesn’t match replace it with a 1. Repeat this procedure for the new string, etc. until there is only one bit left. Can you find a way to predict what the final bit will be based on the original string? For example:

1 1 0 1 0

0 1 1 1

1 0 0

1 0


Lesson #3 (May 24, 2016)

  • Homework: When I was young my parents used to make my sister and I do the dishes. At first we agreed to simply take turns, but after a while my sister felt that she was always getting the days with really dirty dishes to clean while I was getting easier days. To remedy this perceived inequity I came up with a game of chance that would help us decide whose turn it was to do the dishes each day. The game is a simple one. There are two red and one green block in a bag. My sister reaches into the bag and pulls out two blocks. If they are the same colour then I do the dishes. If, however, the blocks are a different colour then she does the dishes. How many blocks of each colour need to be in the bag to make the game fair?

Lesson #4 (May 31, 2016)

Lesson #5 (June 14, 2016)

  • There are four dice (see below). There are two players. Each player chooses one dice. The two dice are rolled until one player has won 7 rolls. If you are one of the players, which dice should you choose?

Red: 0, 1, 7, 8, 8, 9

Blue: 5, 5, 6, 6, 7, 7

Green: 1, 2, 3, 9, 10, 11

White: 3, 4, 4, 5, 11, 12

Lesson #6 (June 21, 2016)

  • If the population of China walked past you, in single file, the line would never end because of the rate of reproduction. Prove or disprove this.

Lesson #7 (June 28, 2016)

  • Is the candy machine your friend?

Lesson #8 (July 5, 2016)

  • No homework

Lesson #9 (July 12, 2016)

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