The Connection Between Algebra and Geometry. Unit Topics Introduction to Coordinate Geometry Coordinate Systems.

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Presentation transcript:

The Connection Between Algebra and Geometry

Unit Topics Introduction to Coordinate Geometry Coordinate Systems

Unit Preview Kick-off Activity KWL Notebook Knowledge Terms to Know Properties of Geometric Figures

Terms to Know Angle Angles of Arc Circle Great Circle Horizontal Line Line Segment Perpendicular Plane Point Ray Rectangle Sphere Square Vertical

The Coordinate Plane

Seating Chart ABCDAisleEF 1 RayChristine 2 BrianPegLiz 3 NancyShawnChuck 4 Prof.PeterKristenLaura What is the location of your seat? ABCDAisleEF 1 RayBrianChristineLiz 2 ShawnPeg 3 NancyKristenLauraChuck 4 Prof. Find Your New Seat

Terms to Know Axes Coordinate Plane Coordinates Graph a Point Grid Number Lines Ordered Pair Origin Quadrants x-axis x-coordinate y-axis y-coordinate

x-axis y-axis Origin Axes Coordinate Plane Quadrant 1 Quadrant 4Quadrant 3 Quadrant 2 (4, 5)________________ __-____________ Quadrants A

x-axis y-axis Representing Geometric Figures Line Segments Angles Geometric Shapes (circles, rectangles, squares, …) Rays

x-axis y-axis Coordinate Plane Quadrant 1 Quadrant 4Quadrant 3 Quadrant 2 Graph a Point (x, y) (-3, 4) (-2, -3) (1, -2) (5, 5) (0, 0) (-1, 5) A B C D E F

Coordinate Plane and Graphing Review Graph the Point Name the Quadrant (-4, 2) (-1, -5) (5, -2) D E F A B C

Life Connection

You are stranded in the middle of the ocean. You have a raft but no food or water. The sun is high and hot. What would make it possible for someone to find you and rescue you? 5 lines

Terms to Know Coordinate System Equator Geographic Coordinate System Latitude Longitude Prime Meridian Rectangular Coordinate System René Descartes

Geographic Coordinate System

References Latitude and longitude image from ridians ridians