Cartesian Coordinate Plane - Mathematics 8
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This document explains the Cartesian coordinate plane. It describes how the plane is divided into four quadrants by the x and y axes which intersect at the origin. It provides examples of plotting points using ordered pairs with coordinates (x,y). The document also notes that Rene Descartes developed this system by combining algebra and geometry. It includes an activity for students to physically position themselves on the x and y axes to learn the coordinate system.
Cartesian Coordinate Plane - Mathematics 8
- 1. Cartesian Coordinate Plane PLOTTING POINTS MR. CARLO JUSTINO J. LUNA Malabanias Integrated School Angeles City
- 2. 2,4 5,1 -5 -5 5 5 2,2 1,7
- 3. If it continued to spread , it would go right through your neighbor . . . Imagine the top surface of your desk stretching in every direction. . . . and then through the classroom walls . . .
- 4. . . . and through the school and the hills and the mountains and out into space until it went on forever in every direction. Then you would have a plane.
- 5. In Algebra, we often use the coordinate plane. In mathematics, a plane is a flat surface that goes on forever in every direction.
- 6. Rene Descartes (1596 – 1650) Philosopher Mathematician joined Algebra and Geometry credited with Cartesian Plane
- 8. The Cartesian Plane is divided into four quadrants. III III IV
- 9. (5, 6) is an example of an ordered pair. (5, 6) x coordinate y coordinate (5, 6) 5 6
- 10. (x, y) in the door up the elevator It is like entering a hotel … (– 3, 4) (– 3, 4) left 3 up 4
- 11. A (– 4, 6) A (– 4, 6) B (2, – 3) B (2, – 3) C (– 6, – 4) C (– 6, – 4) D (7, 3) D (7, 3) These points all lie in different quadrants. What do you notice about their coordinates?
- 12. These points all lie on the axes, not in quadrants. What do you notice about their coordinates? F (0, 6) F (0, 6) E (5, 0) H (0, – 3) G (– 7, 0) G (– 7, 0)H (0, – 3) E (5, 0)
- 15. Description: This activity is a game which will enable you to learn the Rectangular Coordinate System. Directions: Form two lines. Some of you will form a horizontal line (𝑥-axis) and some for the vertical line (𝑦- axis). These lines should intersect at the middle. Others may stay at any quadrant separated by the lines. You may sit down and will only stand when the coordinates of the point, the axis or the quadrant you belong to is called.
- 16. Answer Activity 7 (Parts of the Building) on page 126.
- 17. “Moving in the right direction (even at a microscopic rate) is always faster than standing still.” Anonymous
- 18. “If we are facing in the right direction, all we have to do is keep on walking.” Zen Proverb
- 19. “Some beautiful paths can’t be discovered without getting lost.” Erol Ozan
- 20. What is the Rectangular Coordinate System composed of? Where do you see the origin? What are the signs of coordinates of the points in each quadrant ? Quadrant I Quadrant II Quadrant III Quadrant IV
- 21. Cartesian Coordinate Plane PLOTTING POINTS MR. CARLO JUSTINO J. LUNA Malabanias Integrated School Angeles City