In this interactive geometry investigation students will explore polyhedra using different representations and perspectives for three dimensional block figures. In
addition, students will examine area and volume concepts for block figures within this context. This investigation addresses the following geometry standards from the NCTM Principles and Standards for School Mathematics:
- Analyze characteristics and properties of three dimensional geometric shapes and develop mathematical
arguments about geometric relationships
- Use visualization, spatial reasoning, and geometric modeling to solve problems
There are four parts to this i-Math Investigation shown below. Each part has multiple activities.
Math Content
This investigation addresses the following geometry standards from the NCTM Principles and Standards for School Mathematics:
- Analyze characteristics and properties of three dimensional geometric shapes and develop mathematical
arguments about geometric relationships
- Use visualization, spatial reasoning, and geometric modeling to solve problems
Individual Lessons
Lesson 1 - Another View In this interactive geometry investigation students will explore polyhedra using different representations and perspectives for three dimensional block figures. Lesson 2 - Do They Match? In this interactive geometry investigation students will explore polyhedra using different representations and perspectives for three dimensional block figures. Lesson 3 - When is a cube not a cube? In this interactive geometry investigation students will explore polyhedra using different representations and perspectives for three dimensional block figures. Lesson 4 - Some "Escher" Drawings In this interactive geometry investigation students will explore polyhedra using different representations and perspectives for three dimensional block figures.
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