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Transformation Trainer

  • Education
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Designed by a National Board Certified Mathematics Instructor for use in his own classroom, Transformation Trainer promotes understanding of Geometric transformations by allowing the user to view the transformation and the coordinate relationships quickly. Project images from your I-pad onto your Smartboard, Prometheum board, 3M or LCD projector using your Apple TV or VGA adaptor. Provide individual instruction and small group intervention directly on your I-pad. In addition to math teachers, this app is perfect for intervention specialists, tutors, parents and enrichment instructors.
*Use the touch interface to draw figure or enter coordinates one at a time in the table.
*Drag the image to watch how a translation affects the Algebraic Rule
*Reflect across the x-axis or y-axis
*Dilate the image using a scale factor of ¼, 1/3, ½, 1, 2, 3, 4, -1/4, -1/3, -1/2, -1, -2, -3, or -4.
*Rotate the image about the origin or any of the figures vertices. Rotations around the origin display the degree of the rotation with algebraic rules appearing at multiples of 90 degrees.
*Pinch zoom in or out to display points from -25 to 25 on both axes.
*Hide the data table during instruction or to quiz students.
*Print tables and figures using AirPort capable printers.
*Email figures as PDF files for insertion into worksheets, quizzes, and tests. No more drawing figures by hand! Transformation Trainer makes this process faster and more legible than other methods.
Transformation Trainer addresses the following Common Core Grade Level Standards:
6.G.3. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
8.G.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
8.G.3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
G-CO.2. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
G-CO.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
G-CO.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
G-SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor:
G-SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
G-SRT.3. Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.