In an attempt to address the eight Math Practices in the graphic at left, I will expose the class to One Problem to Solve (OPTS), one of which is displayed below. Students will discover and create their own problems, while being guided by the teacher.
As a class, we will decide on a central question to work on.
Make three smart guesses to answer the central question:
a guess too low, a guess too high, and a guess in the middle.
Place your guesses on the number line.
WHILE WE'RE ON THE TOPIC
What would have helped you achieve a more accurate estimate?
How might you avoid such a mistake in the future?
Explain your work to someone else? Did s/he do the work differently?
Can you explain the process using the other person's methods?