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Activities

Problem

5 min.

##### Circle Trigonometry Practice
This activity gives links to some external resources (2 simulations and 1 video) that allow students to explore circle trigonometry. There are no prompts and nothing specific to turn in.

• Found in: Quantum Fundamentals course(s)

Problem

5 min.

##### Circle Trigonometry

On the following diagrams, mark both $\theta$ and $\sin\theta$ for $\theta_1=\frac{5\pi}{6}$ and $\theta_2=\frac{7\pi}{6}$. Write one to three sentences about how these two representations are related to each other. (For example, see: this PHET)

• Found in: Quantum Fundamentals course(s)

Problem

5 min.

##### Circle Trigonometry and Complex Numbers

Find the rectangular coordinates of the point where the angle $\frac{5\pi}{3}$ meets the unit circle. If this were a point in the complex plane, what would be the rectangular and exponential forms of the complex number? (See figure.)

• Found in: Quantum Fundamentals course(s)

Lecture

30 min.

##### Lorentz Transformation (Geometric)
In this lecture, students see a geometric derivation of the Lorentz Transformation on a spacetime diagram.

• Found in: Theoretical Mechanics course(s)

Kinesthetic

10 min.

##### Using Arms to Visualize Complex Numbers (MathBits)
Students move their left arm in a circle to trace out the complex plane (Argand diagram). They then explore the rectangular and exponential representations of complex numbers by using their left arm to show given complex numbers on the complex plane. Finally they enact multiplication of complex numbers in exponential form and complex conjugation.

• Found in: Quantum Fundamentals, AIMS Lie Groups, Lie Groups and Lie Algebras course(s) Found in: Arms Sequence for Complex Numbers and Quantum States sequence(s)