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Graphing Ordered Pairs on a Coordinate Plane

Learn how to graph and identify ordered pairs on a coordinate plane. Practice plotting points and connecting them to create lines.

jeffreywatts
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Graphing Ordered Pairs on a Coordinate Plane

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  1. Transparency 6 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 6-5c Objective Graph ordered pairs of numbers on a coordinate plane

  4. Example 6-5c Vocabulary Coordinate system A grid with two number lines that form right angles and intersect at their zero points (coordinate plane)

  5. Example 6-5c Vocabulary Coordinate Plane A grid with two number lines that form right angles and intersect at their zero points (coordinate system)

  6. Lesson 8-6 Example 6-2b Coordinate plane (system) y-axis Zero points (0, 0) x-axis

  7. Example 6-5c Vocabulary x-axis The horizontal number line x-axis

  8. Example 6-5c Vocabulary y-axis The vertical number line y-axis

  9. Example 6-5c Vocabulary Origin The point of intersection of the two number lines origin

  10. Example 6-5c Vocabulary Quadrants The number lines separate the coordinate plane into four sections II I IV III

  11. Example 6-5c Vocabulary Ordered pair Any point on the coordinate plane graphed using two numbers (x, y) (3, 2)

  12. Example 6-5c Vocabulary x-coordinate The first number in the ordered pair (3, 2)

  13. Example 6-5c Vocabulary y-coordinate The second number in the ordered pair (3, 2)

  14. Lesson 6 Contents Example 1Identify Ordered Pairs Example 2Identify Ordered Pairs Example 3Graph Ordered Pairs Example 4Graph Real-Life Data

  15. P Example 6-1a Identify the ordered pair that names the point P. Then identify its quadrant. Begin at the origin (0, 0) Count the number of blocks to the right Stop on the vertical line that the point is on Moved 2 spaces to the right which is the first number of the ordered pair P (2, 1/4

  16. P Example 6-1a Identify the ordered pair that names the point P. Then identify its quadrant. Begin on the x-axis where you stopped Count down to the point P Moved 4 spaces down (which refers to negative) The second number is -4 P (2, -4) 1/4

  17. P Example 6-1a Identify the ordered pair that names the point P. Then identify its quadrant. Q 2 Q 1 Identify the quadrant Label each Quadrant Point P is in Quadrant 4 Q 3 Q 4 Answer: P (2, -4), Quadrant 4 1/4

  18. Example 6-1b Identify the ordered pair that names the point A. Then identify its quadrant. Answer: A(–3, 1); quadrant 2 1/4

  19. S Example 6-2a Identify the ordered pair that names the point S. Then identify its quadrant. Begin at the origin (0, 0) Count the number of blocks to the left Stop on the vertical line that the point is on Moved 3 spaces to the left which is the first number of the ordered pair and is negative S(–3, 2/4 Answer: S(–3, –2) Quadrant 3

  20. S Example 6-2a Identify the ordered pair that names the point S. Then identify its quadrant. Begin on the x-axis where you stopped Count down to the point S Moved 2 spaces down (which refers to negative) The second number is -2 S(–3, -2) 2/4 Answer: S(–3, –2) Quadrant 3

  21. S Example 6-2a Identify the ordered pair that names the point S. Then identify its quadrant. Q 2 Q 1 Identify the quadrant Label each Quadrant Point S is in Quadrant 3 Q 3 Q 4 Answer: S(–3, -2) Quadrant 3 2/4

  22. Example 6-2b Identify the ordered pair that names the point B. Then identify its quadrant. Answer: B(3, 4); quadrant I 2/4

  23. Example 6-3a Graph point A at (–4, 3). Begin at the origin (0, 0) The first number (-4) is on the x-axis Since it is negative, move 4 squares to the left 3/4

  24. Example 6-3a Graph point A at (–4, 3). The second number (3) is positive so move up A(-4, 3) Label the point A(-4, 3) Answer: 3/4

  25. Example 6-3b Graph point C at (2, –4). Answer: C(2, -4) 3/4

  26. Example 6-4a Plot the ordered pairs: (0, 0); (1, 2); (2, 4); (3, 6); (4, 8) Then connect the points to make a line 10 Since all numbers are positive we will only use quadrant 1 9 8 7 Label horizontal axis 6 5 Label vertical axis 4 Plot first ordered pair (0, 0) 3 2 1 Label plot (0, 0) 1 2 3 4 5 6 7 8 9 10 0 4/4

  27. Example 6-4a Plot the ordered pairs: (0, 0); (1, 2); (2, 4); (3, 6); (4, 8) Then connect the points to make a line 10 Plot the next ordered pair (1, 2) 9 8 Label plot 7 6 Plot the next ordered pair (2, 4) 5 4 (2, 4) 3 Label plot (1, 2) 2 1 (0, 0) 1 2 3 4 5 6 7 8 9 10 0 4/4

  28. Example 6-4a Plot the ordered pairs: (0, 0); (1, 2); (2, 4); (3, 6); (4, 8) Then connect the points to make a line Answer: 10 Plot the next ordered pair (3, 6) 9 (4, 8) 8 Label plot 7 (3, 6) 6 Plot the next ordered pair (4, 8) 5 4 (2, 4) 3 Label plot (1, 2) 2 Draw a line through the points 1 (0, 0) 1 2 3 4 5 6 7 8 9 10 0 4/4

  29. Example 6-4a Plot the ordered pairs: (0, 0); (1, 4); (2, 8); (3, 12); (4, 16) Then connect the points to make a line Answer: 20 Notice: Numbers go to 16 so must label by 2’s 18 (4, 16) 16 14 (3, 12) 12 10 8 (2, 8) 6 (1, 4) 4 2 (0, 0) 2 4 6 8 10 12 14 16 18 20 0 4/4

  30. End of Lesson 6 Assignment

  31. x (shots made) 4x y (total points) (x, y) 4(0) 0 0 (0, 0) 4(1) 1 4 (1, 4) Answer: 4(2) 2 8 (2, 8) 4(3) 3 12 (3, 12) 4(4) 4 16 (4, 16) Example 6-4b CARNIVAL GAME When playing a carnival game involving throwing a ball through a hoop, 4 points are awarded for each ball that goes through the hoop. List the ordered pairs (shots made, points) for 0, 1, 2, 3, and 4 shots made. 4/4

  32. Example 6-5a TESTS Use the table below. Each question on a test is worth 2 points, with no partial credit given. Graph the ordered pairs (correct answers, total points). Then describe the graph. 5/5

  33. Example 6-5a (4, 8) Then describe the graph. (3, 6) (2, 4) appears to make a straight line (1, 2) (0, 0) 5/5

  34. Answer: The points appear to fall on a line. Example 6-5b 5/5

  35. Example 6-5c * CARNIVAL GAME Use the table below. When playing a carnival game involving throwing a ball through a hoop, 4 points are awarded for each ball that goes through the hoop. Graph the ordered pairs (shots made, points). Then describe the graph. 5/5

  36. Answer: (0,0) The points appear to fall on a line. Example 6-5c * 5/5

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