Class Agenda #27

Defining Pi Project, Part 3: Developing Generalizations (10 minutes)

  • By now, you should have completed at least three constructions.
  • Sit with your partner, and take out Part 3.
  • It’s ok if you don’t know the “right” answers yet – put your best thinking on the page.
  • You have 10 minutes to complete Part 3.

Defining Pi Project, Part 4: The Big Chart (5 minutes)

  • Step 1: Take 5 minutes to transfer your values from Part 2 to the table in Part 4.
  • In 5 minutes, we will start another example.

Example: 360 Slices (15 minutes)

  • Can we fill out a row in our analysis chart for 360 slices without actually constructing a 360-gon?

Continuing on The Big Chart (10 minutes)

  • Try to fill in the missing values for our 360-gon.
  • Think about how you could fill in two more rows of this chart.
  • If you’re not done with Part 3, finish it now.  Does Part 4 help you with Part 3?
  • Answer the questions on the back of the page.

Using Excel as a Tool

  • How can we use our discussion from the 360-gon example to help us create algebraic expressions that a computer can use to perform the calculations for us?

Closing: Record Sheets

  • Write a sentence or two about what you did today.
  • What does it mean to be precise?
  • What questions do you currently have about this project?

Problem Set #10 is due tomorrow.

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