Cartesian Coordinates and Graphing
Warm-up
Plot a few points in Quadrant I. Ask: Where is (2, 3)? Where is (5, 1)?
Explore
Students plot points in all four quadrants. Connect points to form shapes or pictures. Then, create a table of values for a linear relation and graph the line.
Formalize
Record the steps:
Plot (x, y): Start at origin. Move x units horizontally (right if +, left if −). Move y units vertically (up if +, down if −). Graph y = mx + b: Create table, plot points, connect with a line.
Identify key features: origin, quadrants, x- and y-intercepts, slope direction.
Practice
Students plot points, identify coordinates, and graph several linear relations. Exit ticket: one graphing task.
Exit ticket
Students plot points, identify coordinates, and graph several linear relations. Exit ticket: one graphing task.
From origin: (2,3) is 2 right, 3 up; (−1,2) is 1 left, 2 up; (0,−2) is 2 down on the y-axis.
Table: x=0, y=2 (point (0,2)); x=1, y=1 (point (1,1)); x=2, y=0 (point (2,0)). Connect to form a line.