Graph points on the coordinate plane to solve real-world and mathematical problems. UW.GAP.5.M.G.02 Represent real world and mathematical problems by graphing.

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Presentation transcript:

Graph points on the coordinate plane to solve real-world and mathematical problems. UW.GAP.5.M.G.02 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Objective: I can graph points on a coordinate plane using real-world situations. SET So think what is an integer? How do you order integers? Share with your table group

Coordinate Grid A coordinate grid has two perpendicular lines, or axes, labeled like number lines. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin.

Ordered Pairs The numbers on a coordinate grid are used to locate points. Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x- coordinate, and a number on the y-axis called a y- coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0). Note that there is no space after the comma.

Graphing coordinate pairs The location of (2,5) is shown on the coordinate grid below. The x-coordinate is 2. The y-coordinate is 5. To locate (2,5), move 2 units to the right on the x-axis and 5 units up on the y-axis.

Increasing/Decreasing/Constant Intervals Increasing- going up Decreasing – going down. Constant – Stays the same Intervals- number counting by on graph.

Graphing Coordinate pairs The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) refer to two different points!

Practice (3, 5)

Practice (4, 2)

Practice (1,6)

Practice (0,4)