The Coordinate Plane Warm Up Problem of the

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

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

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

The Coordinate Plane Learn to locate and graph points on the coordinate plane.

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

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.

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.

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.

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.

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.

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

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

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).

The Coordinate Plane Additional Example 2 A: 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)

The Coordinate Plane Additional Example 2 B: 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)

The Coordinate Plane Additional Example 2 C: 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)

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

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

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

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

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

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

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

The Coordinate Plane Lesson Quizzes Standard Lesson Quiz for Student Response Systems

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

The Coordinate Plane Lesson Quiz for Student Response Systems 1. Identify the quadrant where the ordered pair (5, – 8) is located. A. I B. II C. III D. IV

The Coordinate Plane Lesson Quiz for Student Response Systems 2. Identify the quadrant where the ordered pair (– 3, 7) is located. A. I B. II C. III D. IV

The Coordinate Plane Lesson Quiz for Student Response Systems 3. Identify the quadrant where the ordered pair (– 7, – 4 ) is located. A. I B. II C. III D. IV

The Coordinate Plane Lesson Quiz for Student Response Systems 4. Identify the coordinates of point X. A. (4, 4) B. (– 4, 4) C. (4, – 4) D. (– 4, 0)