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

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Presentation on theme: "The Connection Between Algebra and Geometry. Unit Topics Introduction to Coordinate Geometry Coordinate Systems."— Presentation transcript:

1 The Connection Between Algebra and Geometry

2 Unit Topics Introduction to Coordinate Geometry Coordinate Systems

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

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

5 The Coordinate Plane

6 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

7 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

8 x-axis y-axis 1 2 3 4 5 -2 -3 -4 -5 12345-2-3-4-5 Origin Axes Coordinate Plane Quadrant 1 Quadrant 4Quadrant 3 Quadrant 2 (4, 5)________________ __-____________ Quadrants A

9 x-axis y-axis 1 2 3 4 5 -2 -3 -4 -5 12345-2-3-4-5 Representing Geometric Figures Line Segments Angles Geometric Shapes (circles, rectangles, squares, …) Rays

10 x-axis y-axis 1 2 3 4 5 -2 -3 -4 -5 12345-2-3-4-5 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

11 1 2 3 4 5 -2 -3 -4 -5 12345-2-3-4-5 Coordinate Plane and Graphing Review Graph the Point Name the Quadrant (-4, 2) (-1, -5) (5, -2) D E F A B C

12 Life Connection

13 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

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

15 Geographic Coordinate System

16 References Latitude and longitude image from http://berjaenglish.wikispaces.com/Parallels+and+Me ridians http://berjaenglish.wikispaces.com/Parallels+and+Me ridians


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