A B C

Solutions for Session 10, Part B

See solutions for Problems: B1 | B2 | B3 | B4 | B5

Problem B1

Answers will vary. Some possible responses:

 • (Level 1 thinking) In placing shapes into the circles, Stephanie and Cara don't worry about the orientation. They think of the particular shapes as representing all of the same type of figure. Also, they see the right angle at the vertex of the kite, even though it is oriented in an unfamiliar way, and appearing in an unfamiliar figure. • (Level 2 thinking) Students in the class make guesses about the labels and refine their guesses based on additional information. If the pentagon goes in the right circle, the label can't be quadrilaterals.

 Problem B2 Answers will vary. The thinking often goes like this: "If it's going to make a solid shape, there must be at least three polygons meeting at a vertex. If it's going to make a solid shape, then there must be less than a total of 360° around a vertex. Regular hexagons and polygons with more than six sides all have 120° or more at each vertex, so these shapes cannot be used." And so on.

Problem B3