11-3 The Coordinate Plane Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

11-3 The Coordinate Plane Warm Up Use the number line to compare each pair of integers. Write –7 2. –8 – –4 4. –2 –5 > < > >

11-3 The Coordinate Plane 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

11-3 The Coordinate Plane Preview of MA.7.G.4.3 Identify and plot ordered pairs in all four quadrants of the coordinate plane. Sunshine State Standards

11-3 The Coordinate Plane Vocabulary coordinate plane axes x-axis y-axis quadrants origin coordinates x-coordinate y-coordinate

11-3 The Coordinate Plane 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.

11-3 The Coordinate Plane 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.

11-3 The Coordinate Plane 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.

11-3 The Coordinate Plane 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.

11-3 The Coordinate Plane 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.

11-3 The Coordinate Plane 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

11-3 The Coordinate Plane Check It Out: Example 1 Name the quadrant where each point is located. A. V B. Z C. T Quadrant I Quadrant I and II Quadrant IV

11-3 The Coordinate Plane 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).

11-3 The Coordinate Plane 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)

11-3 The Coordinate Plane Additional Example 2B: Locating Points on a Coordinate Plane Give the coordinates of each point. Y (–2, –3) From the origin, Y is 2 units left, and 3 units down.

11-3 The Coordinate Plane 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)

11-3 The Coordinate Plane 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)

11-3 The Coordinate Plane Check It Out: Example 2B Give the coordinates of each point. Z (0, 4) From the origin, Z is 0 units right, and 4 units up.

11-3 The Coordinate Plane 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)

11-3 The Coordinate Plane Additional Example 3: Graphing Points on a Coordinate Plane Graph each point on a coordinate plane. A. V(4, 2) B. W(–3, 1) x y –4 – –2–2 –4–4 From the origin, move 4 units right, and 2 units up. V W From the origin, move 3 units left, and 1 unit up.

11-3 The Coordinate Plane Additional Example 3: Graphing Points on a Coordinate Plane Graph each point on a coordinate plane. C. Z(0, –4) D. T(1, –3) From the origin, move 4 units down. x y –4 – –2–2 –4–4 Z T From the origin, move 1 unit right, and 3 units down.

11-3 The Coordinate Plane Check It Out: Example 3 Graph each point on a coordinate plane. A. L(3, 4) B. M(–3, –3) x y –4 – –2–2 –4–4 From the origin, move 3 units right, and 4 units up. L M From the origin, move 3 units left, and 3 units down.

11-3 The Coordinate Plane 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. x y –4 – –2–2 –4–4 P G From the origin, move 4 units left, and 2 units down.