##
Using Cubes and Isometric Drawings

In this interactive geometry
investigation, students 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.

**Math
Content**

Students will:

- 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.
- Create three dimensional shapes using the isometric
drawing tool and represent these shapes as isometric drawings.
- Find the surface area and volume of various polyhedra
created in this unit.

If possible, each student should have access to
an individual computer.

6-8

Students explore using the isometric drawing tool and gain practice and experience in manipulating drawings.

6-8

Using three dimensional figures they have constructed, students determine when two isometric drawings can represent the same shape and explain their reasoning. Students will also determine what possible shapes might have the same isometric drawing and explain their reasoning.

6-8

Students explore drawing the front-right-top view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the front-right-top view.

6-8

Students explore drawing a mat plan when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the mat plan.

6-8

Using the isometric drawing tool, students build three-dimensional figures and find the surface area and volume of each figure.

6-8

Students examine some isometric drawings that seem to be impossible and
investigate one way Escher used to create these "impossible" figures.