Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

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

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

Sunshine State Standards MA.7.G.4.3 Identify and plot ordered pairs in all four quadrants of the coordinate plane.

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

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

Additional Example 1: Identifying Quadrants on a Coordinate Plane Identify the quadrant that contains each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 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

X lies in Quadrant III. Check It Out: Example 1 Identify the quadrant that contains each point. x y –2 2 –4 4 A. X N X lies in Quadrant III. B. N Y N lies in Quadrant I. p C. P P lies in Quadrant IV. x

x y –2 2 –4 4 –1 –3 –5 5 3 1 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 right or left from 0 Units up or down from 0

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

Plot each point on the coordinate plane. Check It Out: Example 2 Plot each point on the coordinate plane. x y –2 2 –4 4 A. E (–2, 3)‏ E H B. F (4, –2)‏ C. G (–1, –5)‏ F G

Additional Example 3: Identifying Points on a Coordinate Plane Give the coordinates of each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. X (–2, 5)‏ X 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.

Give the coordinates of each point. Check It Out: Example 3 Give the coordinates of each point. x y –2 2 –4 4 A. J (–4, 0)‏ L K B. K (1, 2)‏ J M C. L (–3, 4)‏ D. M (5, –3)‏

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

Lesson Quiz: Part I Give the coordinates of each point and identify the quadrant that contains each point x y –2 2 –4 4 –1 –3 –5 5 3 1 1. A (–2, 4); II A 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)‏

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.

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

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

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

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

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.