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Plotting Points on a Coordinate Plane - Lesson and Quizzes

In this lesson, students will learn how to plot and identify ordered pairs on a coordinate plane. They will also practice identifying quadrants and plotting points through quizzes.

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Plotting Points on a Coordinate Plane - Lesson and Quizzes

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. 1 2 3 4 5 6 7 8 –8–7–6 –5–4 –3 –2 –1 0 –8–7–6 –5–4 –3 –2 –1 0 1 2 3 4 5 6 7 8 Warm Up Graph each integer and its opposite on a number line. 1. 4 2. –7 3. –2 Graph the integers on a number line. 4. 7, –2, 0, 3, –5

  3. Problem of the Day What number am I? I am less than 50. When divided by 5 my remainder is 4. The sum of my digits is 11. 29

  4. Learn to plot and identify ordered pairs on a coordinate plane.

  5. Vocabulary coordinate plane x-axis y-axis origin quadrant ordered pair

  6. y y-axis x-axis x Origin A coordinate plane is a plane containing a horizontal number line, the x-axis, and a vertical number line, the y-axis. The intersection of these axes is called the origin. 5 4 3 Quadrant I Quadrant II 2 1 0 2 –5 –1 –4 –2 1 –3 3 5 4 –1 –2 Quadrant IV Quadrant III –3 –4 –5 The axes divide the coordinate-plane into four regions called quadrants, which are numbered I, II, III, and IV.

  7. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Additional Example 1: Identifying Quadrants on a Coordinate Plane Identify the quadrant that contains each point. A. S W S lies in quadrant IV. T B. T T lies in quadrant I. C. W S W lies on the y-axis between Quadrants I and II

  8. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Check It Out: Example 1 Identify the quadrant that contains each point. A. N N N lies in quadrant II. B. X Y X lies in quadrant III. C. Y Y lies on the origin. X

  9. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Points on a coordinate plane are identified by ordered pairs. An ordered pair consists of two numbers in a certain order. The origin is the point (0,0). 2 units up 3 units right Ordered pair (3, 2)‏ x-coordinate y-coordinate Units up or down from 0 Units right or left from 0

  10. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Additional Example 2: Plotting Points on a Coordinate Plane Plot each point on a coordinate plane. A. D (3, 3)‏ D Start at the origin. Move 3 units right and 3 units up. B. E (–2, –3)‏ E Start at the origin. Move 2 units left and 3 units down. F C. F (3, –5)‏ Start at the origin. Move 3 units right and 5 units down.

  11. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Check It Out: Example 2 Plot each point on a coordinate plane. A. D (4, 4)‏ D E Start at the origin. Move 4 units right and 4 units up. B. E (–2, 3)‏ F Start at the origin. Move 2 units left and 3 units up. C. F (–1, –2)‏ Start at the origin. Move 1 unit left and 2 units down.

  12. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Additional Example 3: Identifying Points on a Coordinate Plane Give the coordinates of each point. X A. X (–2, 5)‏ Start at the origin. Point X is 2 units left and 5 units up. Y B. Y (–1, 0)‏ Start at the origin. Point Y is one unit left on the x-axis. Z C. Z (3, –3)‏ Start at the origin. Point Z is 3 units right and 3 units down.

  13. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Check It Out: Example 3 Give the coordinates of each point. A. L (–4, 3)‏ N L Start at the origin. Point L is 4 units left and 3 units up. B. M (–2, –2)‏ M Start at the origin. Point M is 2 units left and 2 units down. C. N (3, 4)‏ Start at the origin. Point N is 3 units right and 4 units up.

  14. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  15. y 5 4 3 2 1 x 0 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Lesson Quiz: Part I Give the coordinates of each point and identify the quadrant that contains each point A 1.A (–2, 4); II C 2.B (3, –2); IV 3.C (2, 3); I Plot each point on a coordinate plane. E B 4.D (2, –3)‏ D 5.E (–4, –2)‏

  16. Lesson Quiz: Part II 6. To plot (7, –2) a student started at (0, 0) and moved 7 units left and 2 units down. What did the student do wrong? He should have moved 7 units right.

  17. Lesson Quiz for Student Response Systems 1. Identify the correct coordinates and the quadrant of point A. A. (–3, 4); I B. (–3, 4); II C. (3, 4); I D. (3, 4); II

  18. Lesson Quiz for Student Response Systems 2. Identify the correct coordinates and the quadrant of point C. A. (2, –2); IV B. (2, –2); III C. (–2, 2); IV D. (–2, 2); III

  19. Lesson Quiz for Student Response Systems 3. Which of the following represents the point C(4, 1) plotted on a coordinate plane? A. B.

  20. Lesson Quiz for Student Response Systems 4. Which of the following represents the point A(–2, –3) plotted on a coordinate plane? A. B.

  21. Lesson Quiz for Student Response Systems 5. To plot (8, –3) a student started at (0, 0) and moved 8 units left and 3 units down. What did the student do wrong? A. He should have moved 3 units up, not down. B. He should have moved 8 units right, not left. C. He should have moved 8 units up, not left. D. He should have moved 3 units left, not down.

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