1 Mathematical Models with Applications: Two-Point Perspective Drawing Resource Type: Lessons Discipline: Mathematics Grades: Grades 9–12 Professional Commentary: Students use interactive geometry exploration software (GES) to create a two-point perspective drawing. Students explore geometric transformations of the model of a rectangular prism viewed from different perspectives.... Resource Type: Lessons Discipline: Mathematics Grades: Grades 8–12 Professional Commentary: Fix a center, turn, and you have a rotation. Many objects in nature--flowers, starfish, crystals, etc.--and many objects we use every day have rotational symmetry.... Resource Type: Lessons Discipline: Mathematics Grades: Grades 8–12 Professional Commentary: Many objects in nature--butterflies, flowers, crystals, etc.--and many objects we use every day have reflection symmetry. In this four-part investigation using JavaSketchpad applets, students learn the mathematical definitions and properties of reflections and reflection symmetry.... 4 Straight Lines in 3-Space Resource Type: Content Supports Discipline: Mathematics Grades: Grades 9–12 Professional Commentary: This applet features five 3-D diagrams, each of a line in coordinate space. Each diagram can be rotated to show the line in reference to all planes in an x-y-z system.... 5 Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Visualizing Transformations Resource Type: Content Supports Discipline: Mathematics Grades: Grades 6–10 Professional Commentary: Translations (slides), reflections (flips), and rotations (turns) are geometric transformations that change an object's position or orientation but not its size or shape. The applet in this first of four activities (all accessible from this site) allows students to manipulate a figure and observe its behavior under various transformations.... 6 Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Identifying Unknown Transformations Resource Type: Content Supports Discipline: Mathematics Grades: Grades 6–10 Professional Commentary: Translations (slides), reflections (flips), and rotations (turns) are geometric transformations that change an object's position or orientation but not its size or shape. The applet in this second of four activities (all accessible from this site) challenges students to identify the transformation that maps a given figure onto a given image.... 7 Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Reflections Resource Type: Content Supports Discipline: Mathematics Grades: Grades 6–10 Professional Commentary: Translations (slides), reflections (flips), and rotations (turns) are geometric transformations that change an object's position or orientation but not its size or shape. The applet in this third of four activities (all accessible from this site) allows students to manipulate a figure and observe its behavior under a composition of reflections across perpendicular, parallel, or intersecting... 8 Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Transformations Resource Type: Content Supports Discipline: Mathematics Grades: Grades 6–10 Professional Commentary: Translations (slides), reflections (flips), and rotations (turns) are geometric transformations that change an object's position or orientation but not its size or shape. The applet in this last of four activities (all accessible from this site) allows students to manipulate a figure and observe its behavior under various compositions of transformations.... Resource Type: Content Supports Discipline: Mathematics Grades: Grades 6–12 Professional Commentary: Use this interactive applet to create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes.... Resource Type: Content Supports Discipline: Mathematics Grades: Grades 8–12 Professional Commentary: This resource is not really a lesson, but it provides a step-by-step introduction to graphing polygons on Geometer's Sketchpad® and performing simple translations, rotations, and reflections. This site could be good preparation for a more substantive lesson on tranformations.... |