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Chapter 1 1.1 The Cartesian Plane Ms. Robin You will learn: • To label the axes and origin of a Cartesian plane • Identify and plot points on a Cartesian plane Terms: 1. Cartesian Plane – The plane formed when a horizontal number line and a vertical number line cross. Also called a coordinate grid. 2. X – Axis: the horizontal number line on the coordinate grid. 3. Y-Axis: the vertical number line on the coordinate grid. 4. Origin: the point where the x-axis and the y-axis cross. 5. Quadrants: the four regions on the coordinate grid. 6. Ordered Pair: a pair of numbers used to locate a point on a coordinate grid. 7. Coordinates: the values in an ordered pair (x, y) Ex. (4,5) (3,2) (0,0) (7,2) The Cartesian Plane How To Read Coordinates • Read the x-coordinate first, then the y-coordinate (x, y) Ex. (1,5) “The ordered pair one, five.” (7, -3) “The ordered pair seven, negative three.” • The first number (x-value) tells us how far to the right or left we move. Ex. (4, y) Move 4 units to the right. (-6, y) Move 6 units left. • The second number (y-value) tells us how far to move up or down. Ex. (x, 3) Move 3 units up. (x, -7) Move 7 units down. How To Write Coordinates Follow the following steps: 1. Determine the x-coordinate 2. Determine the y-coordinate 3. Write in form (x, y) Example 1: Identify the Points on the Grid A ________ B ________ C ________ D ________ E ________ F ________ Example 2: Plot the Points on a Grid Plots the following ordered pairs on a grid: 4 3 A(1,4) 2 B(0,0) C(-3, -2) D(-2, 4) 1 -4 -3 -2 -1 1 -1 -2 E(0, 3) -3 F(-2, 0) -4 2 3 4 Key Ideas: • An ordered pair (x , y) is used to locate any point on a Cartesian plane. • All points located within the same quadrant have the same signs for their x-coordinate and ycoordinate. • Points on the x-axis have the value (x , 0). • Points on the y-axis have the value (0 , y). Homework: MathLinks Pages 9 – 11 #5, 7, 9, 11, 14, 16