Locate Points on a Coordinate Plane Lesson 9.1 Part 1 Locate Points on a Coordinate Plane

The Coordinate Plane What You'll Learn You will learn to name and graph ordered pairs on a coordinate plane. In coordinate geometry, grid paper is used to locate points. The plane of the grid is called the coordinate plane.

The Coordinate Plane What You'll Learn You will learn to name and graph ordered pairs on a coordinate plane. In coordinate geometry, grid paper is used to locate points. The plane of the grid is called the coordinate plane. y x 5 -4 -2 1 3 -5 -1 4 -3 2

The horizontal number line is called the ______. The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 O

The horizontal number line is called the ______. x-axis The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-axis O

The horizontal number line is called the ______. x-axis The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-axis The vertical number line is called the ______. O

The horizontal number line is called the ______. x-axis The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-axis The vertical number line is called the ______. y-axis O

The horizontal number line is called the ______. x-axis The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-axis The vertical number line is called the ______. y-axis O The point of intersection of the two axes is called the _____.

The horizontal number line is called the ______. x-axis The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-axis The vertical number line is called the ______. y-axis O The point of intersection of the two axes is called the _____. origin

The horizontal number line is called the ______. x-axis The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-axis The vertical number line is called the ______. y-axis The point of intersection of the two axes is called the _____. origin The two axes separate the plane into four regions called _________.

The horizontal number line is called the ______. x-axis The Coordinate Plane The horizontal number line is called the ______. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-axis Quadrant II (–, +) Quadrant I (+, +) The vertical number line is called the ______. y-axis The point of intersection of the two axes is called the _____. Quadrant III (–, –) Quadrant IV (+, –) origin The two axes separate the plane into four regions called _________. quadrants

The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane.

The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane.

The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. one point

The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. one point The point in the coordinate plane is called the graph of the ordered pair.

The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. one point The point in the coordinate plane is called the graph of the ordered pair. Locating a point on the coordinate plane is called _______ the ordered pair.

The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. one point The point in the coordinate plane is called the graph of the ordered pair. Locating a point on the coordinate plane is called _______ the ordered pair. graphing

Completeness Property for Points in the Plane The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. one point The point in the coordinate plane is called the graph of the ordered pair. Locating a point on the coordinate plane is called _______ the ordered pair. graphing Postulate 2 – 4 Completeness Property for Points in the Plane Each point in a coordinate plane corresponds to exactly one __________________________. Each ordered pair of real numbers corresponds to exactly one __________________________.

Completeness Property for Points in the Plane The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. one point The point in the coordinate plane is called the graph of the ordered pair. Locating a point on the coordinate plane is called _______ the ordered pair. graphing Postulate 2 – 4 Completeness Property for Points in the Plane Each point in a coordinate plane corresponds to exactly one __________________________. Each ordered pair of real numbers corresponds to exactly one __________________________. ordered pair of real numbers

Completeness Property for Points in the Plane The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. one point The point in the coordinate plane is called the graph of the ordered pair. Locating a point on the coordinate plane is called _______ the ordered pair. graphing Postulate 2 – 4 Completeness Property for Points in the Plane Each point in a coordinate plane corresponds to exactly one __________________________. Each ordered pair of real numbers corresponds to exactly one __________________________. ordered pair of real numbers point in the coordinate plane

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate It tells the number of units the point lies to the __________ of the origin.

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate It tells the number of units the point lies to the __________ of the origin. left or right

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate It tells the number of units the point lies to the __________ of the origin. left or right The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin.

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate (4, 3) It tells the number of units the point lies to the __________ of the origin. left or right The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin. above or below

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate (4, 3) It tells the number of units the point lies to the __________ of the origin. left or right The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin. above or below What is the coordinate of the origin?

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate (4, 3) It tells the number of units the point lies to the __________ of the origin. left or right (0, 0) The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin. above or below What is the coordinate of the origin?

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) y x 5 -4 -2 1 3 -5 -1 4 -3 2

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate It tells the number of units the point lies to the __________ of the origin.

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate It tells the number of units the point lies to the __________ of the origin. left or right

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate It tells the number of units the point lies to the __________ of the origin. left or right The second number, –3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin.

Graphing an ordered pair, (point): (x, y) The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. y x 5 -4 -2 1 3 -5 -1 4 -3 2 x-coordinate It tells the number of units the point lies to the __________ of the origin. left or right The second number, –3, is called the ___________. y-coordinate (2, –3) It tells the number of units the point lies _____________ the origin. above or below

Give the coordinates of the points A, B, C, & D The Coordinate Plane Give the coordinates of the points A, B, C, & D y x 5 -4 -2 1 3 -5 -1 4 -3 2 Point A(x, y) = B B A A Point B(x, y) = Point C(x, y) = Point D(x, y) = C C D D

Name the points A, B, C, & D Point A(x, y) = (3, 2) B B A A The Coordinate Plane Name the points A, B, C, & D y x 5 -4 -2 1 3 -5 -1 4 -3 2 Point A(x, y) = (3, 2) (–3, 2) B B (3, 2) A A Point B(x, y) = (–3, 2) Point C(x, y) = (–3, –2) Point D(x, y) = (3, –2) (–3, –2) C C D (3, –2) D

The Coordinate Plane End of Lesson