Roots of Real Numbers
In this roots of real numbers instructional activity, 11th graders solve and complete 12 different problems. First, they find the square root of a variable. Then, students simplify each root of a given real number.
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Complex Numbers in Polar Form; DeMoivre’s Theorem
The iconic links between trig functions and complex numbers are introduced in a lesson on the basic properties of complex numbers in polar form. Quickly progressing through the polarization of complex coordinates, a bulk of the worksheet...
10th - 12th Math CCSS: Adaptable
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...
11th - 12th Math CCSS: Designed
Imaginary Numbers Are Real (Part 3: Cardan's Problem)
Were complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...
5 mins 9th - 12th Math CCSS: Adaptable