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Math · Polar form & the complex plane

Complex Compass

Claim squares by plotting complex numbers, converting polar coordinates, writing complex numbers in polar form, multiplying and dividing in polar form and using De Moivre’s Theorem. Get 4 in a row to win.

Precalculus4-in-a-row1–6 players or teamsNo student loginsWorks offline

Try it free with your class: the demo runs right in your browser for 5 questions or 5 minutes, whichever comes first. No sign-up needed.

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Screenshot of Complex Compass in the middle of a game

What students practice

Plotting a + bi in the complex plane, modulus, distance and midpoint between complex numbers, converting polar points to rectangular coordinates with exact values, finding θ, equivalent polar coordinates with negative r, writing r(cos θ + i sin θ) in a + bi form and back, the argument of a complex number, conjugates as reflections, multiplying by i as a 90° rotation, multiplying and dividing in polar form, modulus and argument of powers, De Moivre's Theorem

Standards

OAS PC.T.1.5 · PC.T.4.1–2

Common Core: HSN-CN.B.4–6

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How it works

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