Table 3 Abstraction bridges
From: Case studies of a robot-based game to shape interests and hone proportional reasoning skills
When encountered | Name of problem | Problem |
|---|---|---|
Following day 1 | Robot movements | Your robot moves 10 m in 4 wheel rotations. |
How many wheel rotations does it take to move 30 m? | ||
Following day 2 | A new robot | You just purchased a new robot! The instructions say that for every 8 motor rotations programmed in the robot, it turns 5°. |
How much will your robot turn if it uses 56 motor rotations? | ||
Following day 3 | Going on a trip | You are traveling to visit a friend in another state. Your car has an 18 gal gas tank and costs $48.00 to fill up. You will use 54 gal of gasoline in your travels. |
How much will you need to spend on gasoline? | ||
Following day 4 | Paint mixing | When we arrived at the robot garage, we were informed that we could customize our robots with custom colors. A gallon of red, 2 gal of white, and a gallon of blue paint will give us one particular color that we want. |
If the job is going to take 24 gal of paint total, how many gallons of each color will we need? | ||
|  | Density of tire spikes | We have to travel across ice with our ice tires. Ice tires have little spikes that dig into the ice so the wheel doesn’t slide. Our ice tires are 6 m but Goodtire 3000 makes much smaller ice tires. Our ice tires have more spikes but are less dense. |
If each type moves 12 m, which one will create more spike marks on the path? |