Open Middle®
Directions: Use the digits 1 through 9, at most one time each, to fill in the boxes and make THREE true number sentences:
Hint
How many different angles can be plugged into the sine function to produce 0, 1/2, and 1?
Answer
Many potential solutions, such as:
sin (9pi / 3) = 0
sin (5pi / 6) = 1/2
sin (1pi / 2) = 1
sin (9pi / 3) = 0
sin (5pi / 6) = 1/2
sin (1pi / 2) = 1
Source: Zack Miller
I think there are many good reasons to teach radians besides preparing kids for Calculus… but even if there weren’t, I might teach kids radians just to do this activity with them. What a perfect blend of simplicity and challenge.