Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Concord Consortium
Orthogonal Circles
Here's some very interesting circles for your very interested pupils. A performance task requires scholars to sketch a pair of orthogonal circles so the centers are the endpoints of one side of a triangle. They draw an additional circle...
Teach Engineering
What's Wrong with the Coordinates at the North Pole?
Here is an activity that merges technology with life skills as individuals use Google Earth to explore the differences between coordinate systems and map projections. The self-guided worksheet is the fourth segment in a nine-part unit....
Curated OER
Omega and Eigenfunction
In this chemistry learning exercise, students calculate the eigenfunction of the operator. They use the operator matrices. There are 4 questions.
Curated OER
Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable. Students find the derivative of an equation...
Curated OER
The Haar Wavelet Filter Bank
In this Haar Wavelet worksheet, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second and...
Curated OER
Worksheet 21
In this math instructional activity, learners draw two vectors u and v based at the same point. The vectors are considered neither parallel nor orthogonal.
Curated OER
Worksheet 23 Spring 1996
In this math worksheet, students fill in the missing boxes while investigating the concept of vectors. They determine if two vectors are orthogonal or parallel.
Curated OER
MT-A314 Introduction to Linear Algebra: Worksheet 4.4
For this linear algebra worksheet, students prove that a given matrix is orthogonal. In addition, they list the entries for the second column of a matrix and make comparisons. Students complete three problems.
Wolfram Research
Wolfram Math World: Orthogonal Vectors
This MathWorld page gives a very brief definition of orthogonal vectors (vectors whose dot product is equal to zero.)
Wolfram Research
Wolfram Math World: Orthogonal Curves
This Math World tutorial features a definition of orthogonal curves.
Wolfram Research
Wolfram Math World: Perpendicular Lines
This site explains what perpendicular means geometricly in mathematics, gives reference to orthoginality, and explains notation for perpendicular segments or lines.