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.