Transcript Coordinate Planes

Coordinate Planes
Locating, Plotting & Reading
Points on a Grid
What is a Coordinate Plane?
A plane formed by the
intersection of a horizontal
number line called the xaxis and a vertical
number line called the yaxis.
Plano formado por la
intersección de una recta
numérica horizontal
llamada eje x (x-axis) y
una recta numérica
vertical llamada eje y (yaxis).
51
42
33
24
15
-5 -4 -3 -2 -1 -1
-2
-3
-4
-5
0
1 2
3 4
5
Purpose of the Coordinate Plane
Location! Location! Location!
We use coordinate planes
to find exact locations!
Real World Application One
Real World Application Two
Real World Application Three
Parts of a Coordinate Plane
X-Axis
Y-Axis
Origin
Quadrant
How to Use a Coordinate Plane
A Coordinate Pair is needed!
(x, y)
A coordinate pair tells the exact
location on the coordinate plane.
The x position on the X-axis goes in the x place.
The y position on the Y-axis goes in the y place.
*Mathematicians plot on the x-axis first.
The signs of a number tell which way to go on
the number line/axis, like a GPS gives directions!
means turn Left or turn Down on the number line/axis.
means turn Right or Up on the number line/axis.
Signs of Numbers - GPS
If given two numbers to plot at the same time…
The First number (x) is left or right
The Second number (y) is up or down
means turn left or turn down on the number line/axis.
means turn right or up on the number line/axis.
Signs of Numbers - GPS
Read Points
(Figure out the Coordinate Pair)
1) Start at the origin.
2) Count the lines left or
right toward the point. The
number of lines you count
goes into the x place of the
coordinate pair.
(x, y) becomes (2, y)
3) Now count the lines up
or down toward the point.
However many lines you
count goes into the y
place of the coordinate
pair.
(2, y) becomes (2, 3)
Find Points
In which quadrant
is A? is B? is C? is D?
Which point is (4, -5)?
1) Start at the origin.
2) Look at the first number and
count that many lines from the
origin left or right. (Right if it’s a
positive number; Left if it’s a
negative number)
3) Look at the second number
and count that many lines from
where you were up or down.
(Up if it’s a positive number;
Down if it’s a negative number)
It’s Point C!
Plot Points
Plot (-2, 3)
Start at the origin.
-2 is in the x place, so
find -2 on the x-axis.
(count the lines on the x-axis from
zero)
3 is in the y place, so
find 3 on the y-axis.
(count the lines on the y-axis from
zero)
Practice!
1.
2.
3.
4.
5.
6.
Read: At what point is
the Church located?
Read: At what point is
the Forest located?
Find: What is located at
(-5, -2)?
Find: What is located at
(4, -4)?
Plot: (2, -2)
Plot: (-4, 3)
Class Hand Outs
The following was given in class for student notes.
How to Use a Coordinate Plane
A __________ _____ is needed!
(__, __)
A coordinate pair tells the exact
________ on the coordinate plane.
The x position on the ______ goes in the x place.
The y position on the ______ goes in the y place.
*Mathematicians plot on the x-axis first.
If given a coordinate pair to plot, read or find…
The _____ number (x) is _____________.
The ____number (y) is ____________.
means turn ____ or turn ____ on the number line/axis.
means turn ____ or turn ____ on the number line/axis.
Signs of Numbers - GPS
1) Always start at the _________!
2) Follow the GPS of the X coordinate
using the lines!
-2 means to turn _____ on the ___ axis.
3) Follow the GPS of the Y coordinate
using the lines!
3 means to turn _____ on the ___ axis.
4) Place, Read or Find your point!
Now You Try!
(6, -3)
1) Always start at the _________!
2) Follow the GPS of the X coordinate
using the lines!
6 means to turn _____ on the ___ axis.
3) Follow the GPS of the Y coordinate
using the lines!
-3 means to turn _____ on the ___ axis.
4) Place, Read or Find your point!