Interactive
CK-12 Foundation

Trigonometric Form of Complex Numbers

For Students 11th - Higher Ed Standards
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
Lesson Plan
EngageNY

Does Every Complex Number Have a Square Root?

For Teachers 11th - 12th Standards
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
Interactive
CK-12 Foundation

DeMoivre's Theorem and nth Roots: The nth Roots of Unity

For Students 11th - Higher Ed
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
Lesson Plan
EngageNY

Curves in the Complex Plane

For Teachers 11th - 12th Standards
Go around and around on the complex plane. The sixth lesson plan in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore...
Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 1

For Teachers 11th - 12th Standards
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...
Lesson Plan
1
1
Huntington Library

Religion & Spirituality - Exploring the California Missions

For Teachers 4th Standards
The California missions were built with the hope of converting the local Native Americans to Catholicism, but exactly how different were their beliefs to begin with? Through analysis of a series of primary source documents,...