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Curated OER
Integrating Gandhian Principles of Communal Unity in Mathematics
Fourth through sixth graders incorporate Gandhian principles into Math curriculum. They explore Gandhi's teachings on communal unity and economic equality. This has quite a bit of information about Gandhi and his observations and...
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
CK-12 Foundation
DeMoivre's Theorem and nth Roots: The nth Roots of Unity
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...
Curated OER
Embossed Rose Window Designs
Students, after researching the history and foundation of Renaissance rose windows, access ArtEmboss to create an original window design. They employ a basic metalworking technique utilizing a soft metal. The design created incorporates...
Curated OER
PreCalculus Worksheet 8.4
In this precalculus instructional activity, students write numbers in their trigonometric form and compute the numbers to a given power. Students explore the parametric function and trace the roots of unity. After completing eight...
Curated OER
Solid Geometry
Eighth graders review solid geometry and measurement with a partner. They identify shapes and how they are measured then complete a word processing exercise on a computer. They exchange papers for grading.
John Lentine
Butterflies and Bugs
Symmetry, line, shape, art, and math are all connected through a fun hands-on craft. Included are instructions to a classic activity, where learners create butterflies to show symmetry in nature and then discuss symmetry in math. It is...
Illustrative Mathematics
Tilt of Earth's Axis and the Four Seasons
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit...
EngageNY
TASC Transition Curriculum: Workshop 15
What do a cheetah, Audi commercial, and air have in common? They're all topics of an engaging inquiry-based, hands-on workshop for educators about background knowledge, reading strategies, the CER model, and argumentative writing. The...
Curated OER
Writing A Mission Statement: Part Two
Student's identify one's values. They go over definition and function of mission statements. Middle schoolers are explained the first steps in identifying one's values. They discuss the etymology of the word "values." Students pair up...
Curated OER
Complex Analysis: Polynomial Equations
In this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.
Curated OER
Complex Analysis: Polynomial Equations
In this polynomial equation learning exercise, students explore real fractional powers of complex numbers. This three-page learning exercise contains examples, explanations and approximately seven problems.
Curated OER
Linear Systems: Orthogonal Matrices
In this orthogonal matrices instructional activity, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page instructional activity...
Curated OER
Mandalas : polygons
Fourth graders create mandalas. In this mandala lesson, 4th graders look at these polygons in nature and man-made forms. They create their own by using tangrams.
Curated OER
A Unified China
Middle schoolers examine the major changes Qin accomplished as emperor. They look at his steps to unify China, create a money standard, measurement standards, and a system of bureaucracy.
Jim Loy
Jim Loy: Roots of Unity
Contains relevant information regarding to roots of unity and a few examples, including diagrams. Information is helpful and concise.
Northern Illinois University
Northern Illinois University: Roots Unique Factorization
This site from the Northern Illinois University contains relevant information about complex nth roots of unity. Includes important formulas.
Cut the Knot
Cut the Knot!: Napoleon's Theorem
Site that describes in detail Napoleon's theorem. To understand this site be sure you understand what the centroid of an object is. The site describes polygons in terms of the roots of unity of a function. The page gives an interactive...
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers
Contains general information regarding complex numbers and roots of unity.
Texas Instruments
Texas Instruments: Powers and Roots of Complex Numbers
Complex numbers can be represented graphically using parametric equations. The roots of complex numbers, including the roots of unity, can be represented graphically using De Moivre's theorem and parametric equations.
Virtual Nerd
Virtual Nerd: How Do You Determine the Best Customary Units to Measure a Weight?
Want to weigh an object, but not sure the best customary unity to use? This tutorial can help! It shows you how to determine the best customary unit to use for measuring the weight of a given object
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