![]() The vertex of the parabola y = ax² + bx + c traces another curve when b is allowed to vary (and a and c remain constant). Make a sketch that graphs a parabola in standard form y = ax² + bx + c, where a, b, and c are controlled by sliders. ![]() Try using the Iterate command to quickly generate higher-level versions of the fractal. Continue this process as many times as you'd like. Take the new figure and rotate it 90° around one of its endpoints. Now rotate the entire figure 90° around one of the endpoints. This fractal is constructed as follows: start with two congruent segments at 90° to each other. If you've read the book Jurassic Park, you're familiar with the Dragon Fractal: it appears at the beginning of each chapter at higher and higher iterations. Animate the vertex of the inscribed angle to demonstrate that every inscribed angle that intercepts this arc has the same measure. Measure the angle and the arc it intercepts. Sliders should control the parameters for the original function, and as they are dragged all three graphs should change accordingly.Ĭonstruct a circle and an inscribed angle. Now, using Movement buttons (or, for more control and sophistication, a slider controlling a dilation from one state to the other), set things up so that one figure "morphs" into the other.Ĭreate a sketch that shows the graph of a general cubic function and the graphs of its first and second derivatives. The figures can be letters, geometric figures, or even caricaturized faces. Animate the point shown bi-directionally along the bottom segment for a really cool effect.Ĭreate two or more figures using segments, arcs, circles, or whatever. Construct this logo in Sketchpad so that the ratio of a side of a square to the side of the next smallest square remains constant. The logo for the Interactive Mathematics Program textbook series is shown at right (with a point added). (A net for a tetrahedron is shown at right.) Then print out your nets and build the solids! Construct nets for each of the five Platonic Solids, complete with folding tabs. Project 4Ī two-dimensional template for folding a three-dimensional solid is called a net. Alternately, you can access all these 16 projects in this single Sketchpad document. 16 Example ProjectsĬlick links in the project sections below to download example "solution sketches" to sample projects chosen from 101 Project Ideas for The Geometer's Sketchpad. These sketches are designed for both Macintosh and Windows compatibility. The projects are for users with varying degrees of Sketchpad experience and cover a wide range of subject areas (art/animation, triangles, real-world modeling, calculus, transformations and tessellations, trigonometry, fractals, and many more). 101 Project Ideas for The Geometer's Sketchpad is a booklet from McGraw-Hill Education that's full of exciting project ideas for use in the classroom or at home.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |