Essential and guiding questions:
Whole Group Questions:
PART A:
- Who can explain how you know that gear B will turn fewer times than gear A? Does it matter how many times gear A turns – will gear B always turn fewer times? Why?
PART B:
- Many of you created a table to record the turn values. Why was this an effective way to keep track of the turns?
- What are some of the patterns that you noticed?
- How did this table help you establish a relationship between the number of turns?
- What is the relationship between gear turns?
- Did anyone find another way to keep track of the gear turns?
- Was it more useful than a table?
PART C:
- Who can explain how you determined the number of times gear A would turn if gear B turned once? Who used the table? How did that help?
- Who set up an equation? How did you determine what equation to use? Who used a ratio and scaled through division or multiplication? How are these methods related to each other?
PART D:
- Who initially thought you would add 4 teeth to both gears? Why?
- What made you change your mind? If 4 teeth are added to gear A and 6 teeth are added to gear B, how does that connect to the relationship you saw in part B?
