1 / 15

4-1

4-1. The Coordinate Plane. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 4-1. The Coordinate Plane. 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. Course 2. Warm Up Graph each integer and its opposite on a number line.

jbay
Download Presentation

4-1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 4-1 The Coordinate Plane Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 4-1 The Coordinate Plane 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 Course 2 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. 4-1 The Coordinate Plane Course 2 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. 4-1 The Coordinate Plane Course 2 Learn to plot and identify ordered pairs on a coordinate plane.

  5. 4-1 The Coordinate Plane Course 2 Insert Lesson Title Here Vocabulary coordinate plane x-axis y-axis origin quadrant ordered pair

  6. 4-1 The Coordinate Plane y-axis x-axis y Origin x Course 2 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. 4-1 The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course 2 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. 4-1 The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course 2 Insert Lesson Title Here 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. X-X 4-1 Insert Lesson Title Here The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course X Course 2 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. X-X 4-1 Insert Lesson Title Here The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course X Course 2 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. 4-1 The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course 2 Insert Lesson Title Here 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. 4-1 The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course 2 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. 4-1 The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course 2 Insert Lesson Title Here 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. 4-1 The Coordinate Plane 5 y 4 3 2 1 0 x 2 –1 –4 –2 1 –3 3 5 4 –5 –1 –2 –3 –4 –5 Course 2 Insert Lesson Title Here 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)

  15. 4-1 The Coordinate Plane Course 2 Insert Lesson Title Here 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.

More Related