3.0 Intro to Functions

Learning Target

Student will be able to…

●Graph ordered pairs on the coordinate plane.

●Identify the coordinates of points.

●Identify the quadrants or axis of points.

Plotting Ordered Pairs in the Cartesian Coordinate System

●In the Cartesian coordinate system, the horizontal axis is called
____________, and the vertical axis is called the _____________.
These axes divide the plane into four sections, called
__________________.

●Label the quadrants in the figure on on the right.

●Every point on the plane has a horizontal component, or x-coordinate,
and a vertical component, or y-coordinate. Together, we write them
as an ______________ of the form (x,y).

●The point at which the two axes cross is called the _________. Its
coordinates are ___________.

Little History

●When you graph points on a coordinate plane
(also called a Cartesian coordinate system), you
are using the work of René Descartes
(1596-1650) was a French mathematician,
scientist and philosopher. His work provided the
first systematic link between the Geometry and
Algebra.

Example 1

Plot the points: (-2, -4), (5, –1), and (2, 0) in the plane.

1.

Start at the origin (0,0)

2.

The first number is the x-coordinate.
a. Go left if it’s Negative.

b.Go right if it’s Positive.

3.

The second number is the y-coordinate.
a.Go down if it’s Negative

b.Go up if it’s Positive.

Example 2

State the coordinates of each point.

A: ___________

B: ___________

C: ___________

D: ___________

Example 3

State the quadrant or axis that each point lies in.

a)

(-4, 1)

b) (-2,-4)

c) (3,1)

d) (8,-1)

e) (0, 5)

f) (-2, 0)

Example 4

a)

Player 1 kicked the ball to player 3. If each
unit measured 2 yards, what would have
been the distance traveled by the ball?

b)

How many players are there at a distance
of four units from player 5.

c)

You are at (3,3). You are allowed to pass
the ball either horizontally or vertically. To
which player can you pass the ball?

Exit ticket

Plot each points, then draw a polygon

A(-6,3), B(-2,3), C(-2,-5), D(-6,-5)