Practice Problems

How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...

Compare geometric solids based on their properties. Your emergent geometers use spaghetti and marshmallows to build models so they can examine the number of faces, edges, and vertices on polyhedra of their own creation. Resource includes...

Sal uses the elimination method to simplify a system of three variables. Next, he employs the substitution method to check his solution. This resource would nicely complement any lesson on this topic.

Slice up solids. A portion of a geometry playlist introduces two conventional ways to visualize 3-D figures in 2-D. The resource defines cross-sections and nets and provides examples of both.

It's about to get 3-D! The video shows your class how to expand the midpoint formula to find the midpoint of a three-dimensional segment. The example shown calculates the midpoint using the x-, y-, and z-coordinates.

Learn the mathematics behind modeling in three dimensions to maximize or minimize one aspect of the situation.

Learn how to use two-dimensional nets to identify their corresponding three-dimensional figure. The instructor uses diagrams to illustrate the two-dimensional nets and talks about the characteristics of each one to identify its...

In a three-dimensional space, a plane can be defined by three points it contains, as long as those points are not on the same line. Learn more about it in this video.

In order to better understand why your world is three dimensional, consider zero, one and two dimensions.

Cross-sections are one way that two-dimensional objects are connected to three-dimensional objects.