Math 6 NOTES (5.3) The Coordinate System

1 Math 6 NOTES ( ) Name _____ The Coordinate System A Coordinate System , or Coordinate plane, is used to locate points in a 2-dimensional plane. The horizontal number line is the _____. The vertical number line is the _____. Their intersection is the _____. (Label) The Coordinate plane contains four quadrants (I, II, III, IV). Label the quadrants. Any point can be located within one of the four quadrants in the Coordinate plane using a specific ordered pair of numbers, called its _____. (x , y) The first number in an ordered pair is the x- Coordinate . The second number is the y- Coordinate .

2 Example: (3,2) 3 is the x- Coordinate , 2 is the y- Coordinate . A point is defined on the Coordinate plane by one, AND ONLY ONE, ordered pair. Practice ( ) Tell what point is located at each ordered pair. 1. (3 , -2) ____ 2. (2 , 3) ____ 3. (-5 , 5) ____ 4. (-7 , -8) ____ 5. (-4 , 4) ____ 6. (-5 , 0) ____ Write the ordered pair for each given point. 7. E _____ 8. M _____ 9. P _____ 10. G _____ 11. Q _____ 12. N _____ Plot the following points on the Coordinate grid. 13. S (-6,-3) 14. T (2,-4) 15. U (5,8) Identify the quadrant containing each point. 16. B 17.

3 J 18. I 19. D 20. E Lesson 3 3 Glencoe/McGraw-Hill139 Mathematics: Applications and Concepts, Course 2 Name the ordered pair for point P. Then identify the quadrant inwhich P lies. Start at the origin. Move 4 units left along the x-axis. Move 3 units up on the ordered pair for point Pis (24, 3).Pis in the upper left quadrant or quadrant and label the point M(0,24). Start at the origin. Move 0 units along the x-axis. Move 4 units down on the y-axis. Draw a dot and label it M(0,24).Name the ordered pair for each point graphed at the right. Then identify the quadrant in which each point and label each point on the Coordinate (21, 1) (0,23) (3, 2) (23,21) (1,22) (1, 3)yxO22232422232421431234yxO222324222324 21431234 SRQPyxO22232422232421431234(0, 24)MPNAME _____ DATE _____ PERIOD _____Study Guide and InterventionThe Coordinate PlaneThe Coordinate planeis used to locate points.

4 The horizontal number line is the x-axis. The verticalnumber line is the y-axis. Their intersection is the are located using ordered pairs. The first number in an ordered pair is the x- Coordinate ; thesecond number is the Coordinate plane is separated into four sections called quadrants. Glencoe/McGraw-Hill140 Mathematics: Applications and Concepts, Course 2 Name the ordered pair for each point graphed at the identify the quadrant in which each point and label each point on the Coordinate (21, 3) (2,24) (4, 0) (26, 2) (25, 0) (21, 5) (23,23) (5,23) (0,25)Name the ordered pair for each point on the city map at the 5 6 7312345222324252627 GroceryTheaterCity HallGas Station2223242526yxO2223242526214 5 63123456yxO22232425222324252145312345 FIABEDHCGJNAME _____ DATE _____ PERIOD _____Practice: SkillsThe Coordinate Plane Glencoe/McGraw-Hill141 Mathematics.

5 Applications and Concepts, Course 2 SCHOOLFor Exercises 1 4, use the Coordinate plane at the right. It shows a map of the rooms in a junior high 53 ArtEntranceLibraryScienceyxO12345 Computer LabSpecial ServicesEnglishHistoryCounselorAthletic : Word ProblemsThe Coordinate PlaneNAME _____ DATE _____ PERIOD is in the room located at (22, 1).What room is she in? Describe in wordshow to get from the origin to this s next class is 8 units to theright and 5 units down on the mapfrom where she is now. In what room isThalia s next class? Find the orderedpair that represents the location of is in the Art room, but his nextclass is in the History room.

6 GiveTyrone directions on how to get to theHistory the map, which classrooms arelocated in the third quadrant? Describethe coordinates of all points in the made a map ofhis neighborhood in such a way thateach intersection is a point on acoordinate plane. Right now, Delsinstands at point (24,23). Give theordered pair of where he will be ifmoves 5 units to the right and 7 unitsup on the to Exercise 5. Inwhich quadrant is Delsin when he isdone walking? Describe this 3 3 Glencoe/McGraw-Hill143 Mathematics: Applications and Concepts, Course 2 Latitude and LongitudeThis world map shows some of the latitude and longitude lines. Latitude ismeasured in degrees north and south of the is measured indegrees east and west of the prime meridian, a line passing throughGreenwich, England.

7 (Greenwich is a suburb of London.)The latitude is usually given first. For example, the location of 308S, 608W islower South a place near each location. Use an atlas or other referencesource to check your , , , , , , , , , , , , 608 EEquatorPrime Meridian60 N30 N30 S, 60 W30 N0 0 0 30 S30 S60 S60 S60 N30 E30 W60 E90 E120 E150 E180 E60 W90 W120 W150 WEnrichmentNAME _____ DATE _____ PERIOD _____Lesson 3 3