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11-3

11-3. The Coordinate Plane. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Warm Up Use the number line to compare each pair of integers. Write < or >. 1. 7 –7 2. –8 –3 3. 0 –4 4. –2 –5. >. <. >. >. Problem of the Day

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11-3

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  1. 11-3 The Coordinate Plane Course 1 Warm Up Problem of the Day Lesson Presentation

  2. Warm Up Use the number line to compare each pair of integers. Write < or >. 1.7 –7 2. –8 –3 3. 0 –4 4. –2 –5 > < > >

  3. Problem of the Day While delivering pizza, Christian drove 4 miles south, 6 miles west, 2 miles north, 8 miles east, and then 2 miles north. How far is Christian from where he started? 2 miles

  4. Learn to locate and graph points on the coordinate plane.

  5. Vocabulary coordinate plane axes x-axis y-axis quadrants origin coordinates x-coordinate y-coordinate

  6. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. • The two number lines are called the axes.

  7. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. • The horizontal axis is called the x-axis.

  8. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. • The vertical axis is called the y-axis.

  9. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. • The two axes divide the coordinate plane into four quadrants.

  10. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. • The point where the axes intersect is called the origin.

  11. Additional Example 1: Identifying Quadrants Name the quadrant where each point is located. A. X B. Y C. S Quadrant IV Quadrant III Quadrant II

  12. Check it Out: Example 1 Name the quadrant where each point is located. A. V B. Z C. T Quadrant I y-axis no quadrant Quadrant IV Helpful Hint Points on the axes are not in any quadrant.

  13. An ordered pair gives the location of a point on a coordinate plane. The first number tells how far to move right (positive) or left (negative) from the origin. The second number tells how far to move up (positive) or down (negative). The numbers in an ordered pair are called coordinates. The first number is called the x-coordinate. The second number is called the y-coordinate. The ordered pair for the origin is (0,0).

  14. Additional Example 2A: Locating Points on a Coordinate Plane Give the coordinates of each point. X From the origin, X is 4 units right and 1 unit down. (4, –1)

  15. Additional Example 2B: Locating Points on a Coordinate Plane Give the coordinates of each point. Y From the origin, Y is 2 units left, and 3 units down. (–2, –3)

  16. Additional Example 2C: Locating Points on a Coordinate Plane Give the coordinates of each point. S From the origin, S is 3 units left, and 3 units up. (–3, 3)

  17. Check It Out: Example 2A Give the coordinates of each point. V From the origin, V is 4 units right and 2 units up. (4, 2)

  18. Check It Out: Example 2B Give the coordinates of each point. Z From the origin, Z is 0 units right, and 4 units up. (0, 4)

  19. Check It Out: Example 2C Give the coordinates of each point. T From the origin, T is 1 unit right, and 3 units down. (1, –3)

  20. y x Additional Example 3: Graphing Points on a Coordinate Plane Graph each point on a coordinate plane. A. V(4, 2) B. W(–3, 1) 4 From the origin, move 4 units right, and 2 units up. V 2 W –4 –2 0 2 4 –2 From the origin, move 3 units left, and 1 unit up. –4

  21. y x Additional Example 3: Graphing Points on a Coordinate Plane Graph each point on a coordinate plane. C. Z(0, 4) D. T(1, –3) 4 From the origin, move 4 units down. 2 –4 –2 0 2 4 –2 From the origin, move 1 unit right, and 3 units down. T –4 Z

  22. y x Check It Out: Example 3 Graph each point on a coordinate plane. A. L(3, 4) B. M(–3, –3) L From the origin, move 3 units right, and 4 units up. 4 2 –4 –2 0 2 4 From the origin, move 3 units left, and 3 units down. –2 M –4

  23. y x Check it Out: Example 3C Graph each point on a coordinate plane. C. P(1, –2) D. G(–4, –2) From the origin, move 1 unit right and 2 units down. 4 2 –4 –2 0 2 4 From the origin, move 4 units left, and 2 units down. –2 G P –4

  24. Lesson Quiz Name the quadrant where each ordered pair is located. 1. (3, –5) 2. (–4, –2) 3. (6, 2) 4. (–7, 9) Give the coordinates of each point. 5.A6.B 7. C 8. D III IV I II (1, 2) (–2, 3) (0, –2) (–2, –3)

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