Lesson 4.1- The Coordinate Lesson 4.1- The Coordinate PlanePlane, pg. 192, pg. 192

Lesson 4.1- The Coordinate Lesson 4.1- The Coordinate PlanePlane, pg. 192, pg. 192

Goals: To locate points on the Goals: To locate points on the coordinate plane.coordinate plane.

To graph points on a coordinate To graph points on a coordinate plane.plane.

Vocabularyy

x

5

5

-5-5

Y-axis: the vertical number line

X-axis: the horizontalNumber line

Coordinate plane-the plane containingthe x-and y-axes

Origin: the axes Intersect at their zeropoints

Axes: points arelocated in referenceto two perpendicularnumber lines

• Ordered pair: points in the coordinate plane (x, y)

• X-coordinate: corresponds to the numbers on the x-axis.

• Y-coordinate: corresponds to the numbers on the y-axis.

QUADRANTS in the Coordinate Plane

y

x

5

5

-5

-5

I (+,+)

II (-,+)

III(-,-)

IV(+,-)

The x-axis and y-axis separatethe coordinate plane into four regions.

Ex. 1: Identify Quadrantsy

x

5

5

-5-5

a) (4, 0)

b) (2, -1)

c) (0, 3)

d) (-4, -2)

Ex. 2: Recognizing Ordered PairsName the coordinates of each point

in the graph.P v w

Q

T

a.Pb. Tc. Qd. We. V

Plotting Points (x,y)

1. Start at the origin.2. The first number tells you how much

to move left or right on the horizontal number line.

3. From there, the second number tells you how much to move up or down.

4. Draw a dot & label it.

Ex. 3: Plot each point on a coordinate plane a) (4, 0)

b) (2, -1)

c) (0, 3)

d) (-4, -2)

e) (3, 1)

f) (2, -5)