The Mandelbrot Set
Learners are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
9th - 12th Math 3 Views 0 Downloads
Similar Right Triangles and Trig Ratios
Is it possible to be the same yet different? Absolutely! The activity asks learners to explore the relationships between side ratios of triangles they have drawn. Because individuals all draw a triangle with the same angle measures, they...
9th - 11th Math CCSS: Designed
Similarity through Transformations
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
9th - 12th Math CCSS: Designed
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
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
9th - 10th Math CCSS: Designed
Fractals and the Art of Roughness
Roughness is everywhere, contributing to the incredible complexity of the world around us. This complexity, however, is not without it's own unique sense of order. Join world-renown mathematician Benoit Mandelbrot as he looks at numerous...
17 mins 9th - Higher Ed Math CCSS: Adaptable