Lesson Plan
Curated OER

Integrating Gandhian Principles of Communal Unity in Mathematics

For Teachers 4th - 6th
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...
Lesson Plan
EngageNY

Roots of Unity

For Teachers 11th - 12th Standards
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....
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
Curated OER

Embossed Rose Window Designs

For Teachers 5th - 12th
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...
Worksheet
Curated OER

PreCalculus Worksheet 8.4

For Students 11th - 12th
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...
Lesson Plan
Curated OER

Solid Geometry

For Teachers 8th
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.
Lesson Plan
John Lentine

Butterflies and Bugs

For Teachers 2nd
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...
Lesson Plan
2
2
Illustrative Mathematics

Tilt of Earth's Axis and the Four Seasons

For Teachers 9th - 11th Standards
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...
Lesson Plan
EngageNY

TASC Transition Curriculum: Workshop 15

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Writing A Mission Statement: Part Two

For Teachers 6th - 8th
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...
Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
In this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.
Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
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...
Lesson Plan
Curated OER

Mandalas : polygons

For Teachers 4th
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.
Lesson Plan
Curated OER

A Unified China

For Teachers 6th - 8th
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.
Graphic
Jim Loy

Jim Loy: Roots of Unity

For Students 9th - 10th
Contains relevant information regarding to roots of unity and a few examples, including diagrams. Information is helpful and concise.
Handout
Northern Illinois University

Northern Illinois University: Roots Unique Factorization

For Students 9th - 10th
This site from the Northern Illinois University contains relevant information about complex nth roots of unity. Includes important formulas.
Unit Plan
Cut the Knot

Cut the Knot!: Napoleon's Theorem

For Students 9th - 10th
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...
Handout
Clark University

Clark University: Dave's Short Trig Course: Complex Numbers

For Students 9th - 10th Standards
Contains general information regarding complex numbers and roots of unity.
Handout
Other

Cubic Roots of 1, Versus Fst and Flt

For Students 9th - 10th
Contains relevant information on cubic roots of unity.
Activity
Texas Instruments

Texas Instruments: Powers and Roots of Complex Numbers

For Teachers 9th - 10th Standards
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.
Website
Virtual Nerd

Virtual Nerd: How Do You Determine the Best Customary Units to Measure a Weight?

For Students 3rd - 5th Standards
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
Interactive
Mangahigh

Mangahigh: Number: Roots

For Students 9th - 10th Standards
Explore roots and evaluate them without a calculator.

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