CK-12 Foundation
Plots of Polar Coordinates: Submarine Sonar
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar coordinates...
Laboratory for Atmospheric and Space Physics
Polar Vortex Interactive
An interactive lesson places pupils as scientists who must learn why the ozone layer is being destroyed by analyzing the data from multiple satellites. The first analysis shows how UV is related to the ozone cycle. The second...
C-SPAN
Political Polarization
Dive into the political breach with pupils and explore the reasons for political polarization. Using clips from C-SPAN that include discussions from reporters and scholars, class members consider what is causing the political fault lines...
CK-12 Foundation
Rectangular to Polar Form for Equations: Polar Coordinates
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
CK-12 Foundation
Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii to...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
Physics Classroom
Polarization
Are your young physicists static-savvy? Test their skills using an engaging interactive from the Static Electricity series! Learners evaluate scenarios to determine how charges move between conductors and insulators, then identify...
Science Geek
Intermolecular Forces of Attraction
Chemists love London (dispersion forces)! Presentation begins with an explanation of intermolecular forces including hydrogen bonding, dipole-dipole attraction, and London dispersion forces. It also covers polarity and the relative...
CK-12 Foundation
Trigonometric Form of Complex Numbers
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...
Curated OER
Pre-Calculus Review Sheet
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.
EngageNY
Exploiting the Connection to Trigonometry 1
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 number. Groups...
Science Matters
Blubber Gloves: It’s All About Insulation
Instill the concept of adaptation with the help of Blubber Gloves—ziplock bags, shortening, and duct tape. Scholars discuss how animals and plants keep warm in polar regions, record their predictions, and try on their Blubber Gloves to...
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
Middle Tennessee State University
John Brown: Hero or Villain?
"Love it or leave it." "You're either for us or against us." Rhetoric and it's polarizing effects are the focus of a instructional activity that uses John Brown's attack on Harper's Ferry as an exemplar. Groups examine primary source...
Thomson Brooks-Core
Complex Numbers
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers and a...
EngageNY
Does Every Complex Number Have a Square Root?
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...
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....
Consortium for Ocean Science Exploration and Engagement (COSEE)
Plankton to Penguins: Antarctic Food Web
A well-written lesson plan, second in a series of four, gets high schoolers exploring how the Antarctic food web is impacted by climate change and the associated melting of polar ice sheets. It begins with a PowerPoint presentation about...
Global Oneness Project
Witnessing Icebergs
Camille Seaman's photoessay, "Witnessing Icebergs" documents just a tip of the problem of climate change through images of icebergs in both the Arctic and Antarctic polar regions. After viewing the haunting images, viewers respond to a...
Super Teacher Worksheets
Mammal Scavenger Hunt Activity
Did you know that a polar bear's skin is actually black? Or that the lightest mammal weighs less than a paperclip? Young scientists learn these and other amazing facts about mammals as they explore the animal kingdom with this fun...
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Pearson
The Chemical Context of Life
An educational presentation includes atoms, molecules, the four major elements, as well as neutrons and protons. Additionally, slides focus on atomic number, mass number, atomic weight, polar and nonpolar covalent bonding, ionic bonds,...
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
NOAA
Deep-Sea Benthos
Much like a distant planet, the underwater world of deep-sea benthos is strange and largely unknown. How do creatures survive and thrive in such extreme pressure and temperature conditions? Young oceanographers join the crew of Operation...
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