Points in Three Dimensions
In this plotting points worksheet, high schoolers plot 18 points in the 3-D plane. Students plot points on a graph given a point.
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Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
11th - 12th Math CCSS: Designed
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry students. This comprehensive Common Core lesson starts with writing and graphing linear equations to define a bounded region...
9th - 11th Math CCSS: Designed
New Review Three-dimensional Linear Transformations | Essence of Linear Algebra, Footnote
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...
5 mins 11th - Higher Ed Math CCSS: Adaptable
New Review Linear Combinations, Span, and Basis Vectors | Essence of Linear Algebra, Chapter 2
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...
10 mins 11th - Higher Ed Math CCSS: Adaptable