Integration: Geometry The Coordinate System

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Integration GeometryThe Coordinate System

• Objective Graph points in quadrants of the
  coordinate plane.

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5-Minute Check

• Graph each set on a number line.
• -2, 0, 2

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5-Minute Check

• Graph each set on a number line.
• -2, 0, 2
• -5, -3, 1

4
5-Minute Check

• Graph each set on a number line.
• -2, 0, 2
• -5, -3, 1
• Simplify
• 4 - -2

5
5-Minute Check

• Graph each set on a number line.
• -2, 0, 2
• -5, -3, 1
• Simplify
• 4 - -2 2

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5-Minute Check

• Graph each set on a number line.
• -2, 0, 2
• -5, -3, 1
• Simplify
• 4 - -2 2
• -3 -1

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5-Minute Check

• Graph each set on a number line.
• -2, 0, 2
• -5, -3, 1
• Simplify
• 4 - -2 2
• -3 -1 4

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5-Minute Check

• Graph each set on a number line.
• -2, 0, 2
• -5, -3, 1
• Simplify
• 4 - -2 2
• -3 -1 4
• Evaluate x - 3 if x -3

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5-Minute Check

• Graph each set on a number line.
• -2, 0, 2
• -5, -3, 1
• Simplify
• 4 - -2 2
• -3 -1 4
• Evaluate x - 3 if x -3
• 0

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Connection
Rene Descartes was a French philosopher,
mathematician, and scientist who lived from 1596
1650. The coordinate system is called the
Cartesian coordinate system because it was
invented by Descartes. Descartes also invented
exponential notation.
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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2) f. F(-5, -1)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2) f. F(-5, -1)
• g. G(1, -3)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2) f. F(-5, -1)
• g. G(1, -3) h. H(1, 4)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2) f. F(-5, -1)
• g. G(1, -3) h. H(1, 4)
• i. I(4, 3)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2) f. F(-5, -1)
• g. G(1, -3) h. H(1, 4)
• i. I(4, 3) j. J(4, 0)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2) f. F(-5, -1)
• g. G(1, -3) h. H(1, 4)
• i. I(4, 3) j. J(4, 0)
• k. K(1, -1)

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The Coordinate System
Example

• Graph each point on the coordinate plane.
• A(-4, -3) b. B(3, 2)
• c. C(0,) d. D(-5, 5)
• e. E(-4, 2) f. F(-5, -1)
• g. G(1, -3) h. H(1, 4)
• i. I(4, 3) j. J(4, 0)
• k. K(1, -1) l. L(5, -3)

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Cartography
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Assignment
14 38 Even, Starting on Page 75