Quotes of the Day: "A mathematician is a blind man in a dark room looking for a black cat which isn't there." -- Charles Darwin (quoted by Jaime Escalante in the film, STAND and DELIVER) Objectives: The student will plot points in the polar coordinate system. 1. Plotting Points Ask: How do you plot a point? In the Cartesian Coordinate System, you plot an x-coordinate, then a y-coordinate. Points are written as ordered pairs (x, y). But there are other coordinate systems: In the Polar Coordinate System, you plot an angle and a radius. Points are written as (r, theta).
In Polar Coordinates, r is a directed distance. theta is the angle from the positive x-axis and measured in a counter-clockwise direction. 2. Examples of plotting points in the Polar Coordinate System:
Give some names for points B and D. For each point, give 4 different names in the form: (+, +), (+, -), (-, +), and (-, -). 3. Play Tic–Tac-Toe or "Connect Four" with Polar Coordinates. Split the class into two teams. The object of the game is to get four in a row –- along a radius, along a circle, or "diagonally." Take turns having students give coordinates. Here is the Game Board:
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