Using 3-D Models for Code Validation with FoilSim

Nothing like sitting on the porch enjoying a big slice of watermelon, unless it's square and then how do we cut it? This lesson starts with the cube and the shape possibilities when we make cuts in different locations. The activity can...

How  does the shape of the surface of water in a container change as water leaks out? After tackling this question, learners take part in a similar activity with more complex figures.

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 other...

Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...

Slice and dice like a master mathematician. Scholars determine and draw three possible cross-sections of a cube. Given a solid shape removed from a three-dimensional figure, they describe two viable original figures.

Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the connections...

Tired of printing in 2-D?. An informative video explains the basics of printing in three dimensions. It goes on to point out some of the fun and practical applications the new technology offers. 

What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...

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.

Let's move into the third dimension! Learners explore the vocabulary and notation related to three-dimensional figures. The video covers examples of pyramids, but the vocabulary is universal to all 3-D objects.