Preview Warm Up California Standards 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 > < > >

Preparation for AF1.0 Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results. California Standards

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

The two number lines are called the axes. 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 horizontal axis is called the x-axis. 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 vertical axis is called the y-axis. 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 two axes divide the coordinate plane into four quadrants. 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 point where the axes intersect is called the origin. 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.

An ordered pair gives the location of a point on a 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).

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

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

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

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

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

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

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. A 6. B 7. C 8. D IV III I II (–2, 3) (1, 2) (0, –2) (–2, –3)