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Author:Auston B. Cron
Description: GeoGebra applets by a teacher who has taught high school and early college students since 1970, and uses his dynamic geometry animations and interactive sketches in his classes to teach angle sums; perimeters and areas of rectangles and squares; reference angles and coterminal angles; vectors and functions of an angle determined by a slider; definitions of sine and cosine; unit circle functions; traces of sine, sin(x), sin(nx), sin(n/x), cosine, and tangent curves; radians; what happens when you "unwrap" a circle's circumference; function amplitude, shift, periodicity, vertical shift, and phase shifts; vector addition; graphing in polar coordinates; arithmetic operations with two functions; trigonometry transformations; inverse trigonometric functions and a comparison of them; a mnemonic wheel to trigger your memory about the trigonometric properties between sin, cos, tan, cot, sec, and csc; perfect squares and cubes; square and cube roots; function addition, subtraction, multiplication, division, and composition; finding the midpoint of a segment; matrix operations; basic function families; functions that stretch, shrink, and reflect; stretch/shrink piecewise functions; stretch/shrink parent functions; increasing and decreasing piecewise functions; learning inverse properties; completing the square; synthetic division; Decartes' Rule of Signs; the Intermediate Value Theorem; absolute value functions; polynomials; linear, quadratic, cubic, quartic, and quintic functions; non-polynomials; and graphing by quadrant. See, in particular, his triangle calculator, which accepts values for any three of a triangle's six angle measures and side lengths, and computes the remaining three measures or lengths. Cron also shares his projects, model lesson plans, reflections, responses to discussion prompts, and other material from the educational technology courses that he has taken, such as "Applications of Advanced Technologies in the PK-12 Classroom" and "Student Center Learning Using Technology."

Levels: High School (9-12), Early College
Languages: English
Resource Types: Computers, Lesson Plans and Activities, Definitions, Web Interactive/Java
Math Topics: Basic Algebra, Linear Algebra, Euclidean Plane Geometry, Pre-Calculus
Math Ed Topics: Materials-Reviews/Recommendations, Technology in Math Ed, Constructivism

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