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Locate Points on a Coordinate Plane
Lesson 9.1 Part 1 Locate Points on a Coordinate Plane
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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.
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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
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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
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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
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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
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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
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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 _____.
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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
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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 _________.
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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
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The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates a point in the coordinate plane.
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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.
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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
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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.
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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.
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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
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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 __________________________.
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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
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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
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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.
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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
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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.
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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
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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?
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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?
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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
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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.
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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
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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.
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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
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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
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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
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The Coordinate Plane End of Lesson
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