1. 5-1 The Coordinate Plane Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 5-1 The Coordinate Plane 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 1 2 3 4 5 6 7 8 –8–7–6 –5–4 –3 –2 –1 0 1 2 3 4 5 6 7 8 –8–7–6 –5–4 –3 –2 –1 0

3. 5-1 The Coordinate Plane 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. 5-1 The Coordinate Plane Learn to plot and identify ordered pairs on a coordinate plane.

5. 5-1 The Coordinate Plane Vocabulary coordinate plane x-axis y-axis origin quadrant ordered pair

6. 5-1 The Coordinate Plane x y –2 2 2 –4 4 4 –1 –3 –5 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. The axes divide the coordinate-plane into four regions called quadrants, which are numbered I, II, III, and IV. 5 3 1 1 3 5 0 –3 –5 –1 Quadrant I Quadrant IV Quadrant II Quadrant III Origin x-axis y-axis

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

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

9. 5-1 The Coordinate Plane 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). Ordered pair (3, 2) ‏ x-coordinatey-coordinate Units right or left from 0 Units up or down from 0 x y –2 2 2 –4 4 4 –1 –3 –5 5 3 1 1 3 5 0 –3 –5 –1 3 units right 2 units up

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

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

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

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

14. 5-1 The Coordinate Plane Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

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

16. 5-1 The Coordinate Plane 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. 5-1 The Coordinate Plane 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 Lesson Quiz for Student Response Systems

18. 5-1 The Coordinate Plane 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 Lesson Quiz for Student Response Systems

19. 5-1 The Coordinate Plane 3. Which of the following represents the point C(4, 1) plotted on a coordinate plane? A. B. Lesson Quiz for Student Response Systems

20. 5-1 The Coordinate Plane 4. Which of the following represents the point A(–2, –3) plotted on a coordinate plane? A. B. Lesson Quiz for Student Response Systems

21. 5-1 The Coordinate Plane 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. Lesson Quiz for Student Response Systems