Park City Mathematics Institute
Geometrical Concepts from Constructions, Models, and Investigations
Build It as A Group
Ginny Burton and Kelley Butler
Group interaction is a highlight of this lesson.
- Student roles are clearly defined. Participation by all students is necessary to complete the activity.
- There are multiple entry points for students to succeed, as well as the expectation that multiple representations are given.
- Student and Teacher Task Cards are attached.
The Lesson is divided into three parts:
Task 1: Each student in a group builds a different shape and increases each of its dimensions by a scale factor of two.
- They use Cuisenaire Rods to form the shapes.
- They discover relationships about the surface area and volume of the original shape.
Task 2: Students with the same model are grouped together to become "experts" of their shape. Each group is devoted to one shape.
Task 3: Students return to original groups (Task 1 groups) to develop a poster to communicate their findings.
There is an optional Gallery Walk for groups to share their conclusions and representations.
- Students understand and communicate the relationships among scale factors in one-, two-, and three-dimensional geometry.
- Students will also demonstrate the ability to work effectively as a group.
- Students may use different construction methods to scale up the shapes.
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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.