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 Eric hates to remove anything from the web.  These lesson fragments are from courses taught by our core developer team and are gradually being incorporated within more formal module structures.  Visit the resources page for reference cards and to learn about calculators and emulators. Introduction to programming, lines, and parameters This thread teaches students how to use the calculators to write short iterative programs that draw lines.  Topics include: calculator modes, editing, checking, and debugging programs, use of the pt-on() function to draw points, the construction of iterative programs that draw lines, the use of variables to serve as parameters that control algorithm behaviors, and an accessible introduction to the intuitions underlying the algebra of straight lines.  This thread includes the first lesson of iMPaCT-STEM, which is a prerequisite to all other threads.  Curves, quadratics, and cubics.   This thread introduces curves as a variant of lines in which the inclination is not constant but instead varies - first linearly, and then quadratically.  In this context, the curves are generated by summing their inclination (step size) - which is essentially the slope of tangent lines.  In order to provide intuitions related to the algebraic and graphical properties of quadratic and cubic functions, programs plot both the generated curves and their inclination.   Exercises focus student attention towards the relationship between the inclination graph's zero-crossings and the generated graph's turning points such as maxima and minima.  The effect of biasing the inclination upon the generated graph's size and zero-crossings is also examined.  Finally, a graphical construction using manipulatives is used to provide students with intuitions relating the graphs examined in this thread to quadratic and cubic equations. This thread depends upon Introduction to programming, lines, and parameters Intro to Trigonometry and Resonance This lesson introduces students to trigonometry through simulation a weight suspended by a spring's harmonic motion.  Intro to vector graphics and transformation matriceslogs and exponents © 2011 Eric Freudenthal and collaborators.  All rights reserved.