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

3. Splash Screen

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

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

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

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

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

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

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

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

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

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

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

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

16. P Example 6-1a Identify the ordered pair that names the point P. Then identify its quadrant. 1/4 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,

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

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

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

20. S Example 6-2a Identify the ordered pair that names the point S. Then identify its quadrant. Answer: S(–3, –2) Quadrant 3 2/4 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,

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

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

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

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

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

26. Example 6-3b Graph point C at (2, –4). Answer: 3/4 C(2, -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 4/4 Since all numbers are positive we will only use quadrant 1 Label horizontal axis Label vertical axis 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 Plot first ordered pair (0, 0) Label plot (0, 0)

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 4/4 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 Plot the next ordered pair (1, 2) Label plot (0, 0) (1, 2) Plot the next ordered pair (2, 4) Label plot (2, 4)

29. 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 4/4 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 Plot the next ordered pair (3, 6) Label plot (0, 0) (1, 2) Plot the next ordered pair (4, 8) Label plot (2, 4) (3, 6) (4, 8) Draw a line through the points Answer:

30. 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 4/4 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 0 (0, 0) (1, 4) (2, 8) (3, 12) (4, 16) Answer: Notice: Numbers go to 16 so must label by 2’s

31. End of Lesson 6 Assignment Lesson 8:6 Geometry: The Coordinate Plane 15 - 32 All

32. 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. Answer: (x, y) y (total points) 4x x (shots made) (0, 0) 4(0) 0 0 (1, 4) 4(1) 1 4 4(2) 2 8 (2, 8) 4(3) 3 12 (3, 12) 4(4) 4 16 (4, 16) 4/4

33. 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. x (correct answers) 2x2x y (total points) (x, y) 02(0)0(0, 0) 12(1)2(1, 2) 22(2)4(2, 4) 32(3)6(3, 6) 42(4)8(4, 8) 5/5

34. Example 6-5a x (correct answers) 2x2x y (total points) (x, y) 02(0)0(0, 0) 12(1)2(1, 2) 22(2)4(2, 4) 32(3)6(3, 6) 42(4)8(4, 8) (0, 0) (1, 2) (2, 4) (3, 6) (4, 8) Then describe the graph. appears to make a straight line 5/5

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

36. 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. x (shots made) 4x4x y (points) (x, y) 04(0)0(0, 0) 14(1)4(1, 4) 24(2)8(2, 8) 34(3)12(3, 12) 44(4)16(4, 16) * 5/5

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