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 0 thinking) The students' natural response was to name the particular shape they were holding rather than to focus on properties. Also, they relate the shapes to others they know, thinking of a trapezoid as half a hexagon. • (Level 1 thinking) The activity forces students to feel a shape, turning it around in their hands, and learn that it is the same shape no matter what its position or orientation. They are trying to focus on properties and how they can determine the class of shape from those properties.

 Problem B2 Answers will vary. Some examples of level 1 thinking required by the activity include the identification of non-standard kinds of polygons (concave, asymmetric, etc.). Also, level 1 thinking requires knowing if you've already counted one of the shapes, even if you find it a different way or list the vertices in a different order.

Problem B3