The teacher directs them to work alone or with a partner to figure out as many answers as they can. Walking around, she notices that some are constructing tables, others are using formulas, and still others are randomly writing down combinations as they occur to them. After a few minutes, Mrs. Fondant asks if they are ready to talk about what they have found. They seem to be, so she asks one girl for one of the combinations that she worked out. This student already assumes that justifying her answer is part of giving it.
Students initiate strategies.
The teacher expects students to take a large share in the pursuit of one another's suggestions. Several others add possible combinations. Let's make a table. Mrs. Fondant looks expectantly at the group. That makes 33 points.