PPT-Coordinate Rules for Rotations

4 3 2 1 0 In addition to 3 I am able to go above and beyond by applying what I know about coordinate rules for performing transformations and could teach someone else Use coordinates to write directions for drawing figures specify the coordinates of the original and new image under a transformation and specify the coordinate rules for those transformations. But if you are doing a problem with either spherical symmetry going out the same distance in the x y and z directions is the same or cylindrical symmetry this means symmetry about one axis using different coordinate systems may make the problem easi Learning goals. LG:. Perform a combination of . rotations . on a single 2-D shape, with and without technology, and draw and describe the . image. Kid Friendly:. . Rotate shapes around a certain point. Coordinate Systems. Representing 3D points in Cylindrical Coordinates. . . r. Start from polar . representations in the plane. Representing 3D points in Cylindrical Coordinates. . . r. Cylindrical coordinates just adds a . Geodesy. - the shape of the earth and definition of earth datums. Map Projection. - the transformation of a curved earth to a flat map. Coordinate systems. - (x,y,z) coordinate systems for map data. Euler Theorem + Quaternions . Representing a Point 3D. A three-dimensional point. . A. is a reference coordinate system here. Rotation along the . Z axis. In general:. Using Rotation Matrices. Reflections on the Coordinate Plane. The undisturbed surface of a pond acts like a mirror and can provide the subject for beautiful photographs. Reflections on the Coordinate Plane. We call the waterline a “line of symmetry” because if the photo were folded at the waterline, the two halves would form a mirror image of each other. Datums. and Map . Projections. D’Arcangelis. 11/9/09. Every map user and maker should have a basic understanding of projections, no matter how much computers seem to have automated the process.. Hmmm…. COORDINATE SYSTEMS. . RECTANGULAR or Cartesian. . CYLINDRICAL. SPHERICAL. Choice is based on symmetry of problem. Examples:. Sheets - RECTANGULAR. Wires/Cables - CYLINDRICAL. Spheres - SPHERICAL. Vocabulary. Coordinate . Coordinate Plane. Ordered Pairs. Origin. Plot. Quadrants. X-axis. Y-axis. x. y. –2. –2. 2. 2. –4. –4. 4. 4. –1. –3. –5. A . coordinate plane. . is a plane containing a horizontal number line, the . 3 weeks. Unit Planning Team:. Stacy Dustman (ET), Pam Keith (ET), Kendra . Bookout. (ES),. Paige Brown (NS), Traci Rhoades (RG). 5. th. Grade Unit 5. Essential Questions. How can I use the coordinate plane to solve real-world and mathematical problems?. Geodesy. - the shape of the earth and definition of earth datums. Map Projection. - the transformation of a curved earth to a flat map. Coordinate systems. - (x,y,z) coordinate systems for map data. A Coordinate Grid . Project. Timeline. Day 1: . Introduction to Maps . Start Classroom Map. Day 2: . Finish Classroom Map . Share Maps . Discuss difficulties of Mapping an Entire School. Get in Teams and Brainstorm. Radial coordinate r(t). Time. Radial coordinate r(t). Time. Time. 1/r. 2. (t) ~ . d. f. /. dt. (t. ). r(t) is not quite sinusoidal. . d. f. /. dt. (t. ) is not sinusoidal. 19]. , . Lecture . 4: Transformations . 2. Ravi Ramamoorthi. http:/. /viscomp.ucsd.edu/classes/cse167/. wi19. To Do. Start . doing HW 1. Time is short, but needs only little code [. Due . Jan 23]. Ask questions or clear misunderstandings by next lecture.