PPT-Coordinate Algebra 16.5

Geometric Stretching Shrinking and Dilations StretchingShrinking Horizontal Affects the xvalues 2x y is a horizontal stretch x y is a horizontal shrink   Vertical Affects the yvalues. Arithmetic Operations The real numbers have the following properties Commutative Law Associative Law Distributive law In particular putting in the Distributive Law we get and so EXAMPLE 1 a b c If we use the Distributive Law three times we get This Rectanle andParallelogam A = bhTriange A = bhCircle A = r2CircumferenceC = d 314 SurfaeArea Rectanguar Prism S = 2lw + 2wh + 2lhCylindr SA = 2r2 + 2rh VoumeRectanglar Prism/Cyliner 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. 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. 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. 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?. Finding the missing endpoint, given a midpoint and one endpoint.. Resource:. https://www.youtube.com/watch?v=umIdyBDlLuU. https://www.youtube.com/watch?v=fFnE8myjwRI. https://www.youtube.com/watch?v=5EtRHMU5N_c. 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. The Coordinate Plane. Students will be able to:. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.. Find and position integers on a coordinate plane. . RECTANGULAR or Cartesian. . CYLINDRICAL. SPHERICAL. Choice is based on symmetry of problem. Examples:. Sheets - RECTANGULAR. Wires/Cables - CYLINDRICAL. Spheres - SPHERICAL. To understand the Electromagnetics, we must know basic vector algebra and coordinate systems. So let us start the coordinate systems.. (3, – 2). III. Q. (0, 1). J. (1, 4) & . S. (1, 0). (– 3, – 2). Transformations on the Coordinate Plane. Transformations on the Coordinate Plane. Transformations are movements of geometric figures..