in mathematics, we use a grid to locate points
TRANSCRIPT
![Page 1: In mathematics, we use a grid to locate points](https://reader036.vdocuments.site/reader036/viewer/2022062321/56649f2b5503460f94c45222/html5/thumbnails/1.jpg)
Using the Coordinate Plane
In mathematics, we use a grid to locate
points.
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Cartesian plane
The coordinate plane is formed by the perpendicular intersection of two number
lines called axes.
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Cartesian plane
Horizontal axis is
called thex-axis
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Cartesian plane
Verticalaxis is
called they-axis
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Cartesian plane
The intersectionof the two
axes is called the
origin
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Cartesian plane
The intersectio
n of the two
number lines forms
four quadrants.
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Cartesian plane
Divides intoFour
Quadrants
I
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Cartesian plane
Divides intoFour
Quadrants
III
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Cartesian plane
Divides intoFour
Quadrants
III
III
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Cartesian plane
Divides intoFour
Quadrants
III
III IV
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Cartesian plane
Divides intoFour
Quadrantsand…
III
III IV
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Cartesian plane
Math AlertThe quadrants
do not include the
axes
III
III IV
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Cartesian plane
Math AlertA point on the
x or y axis is not in a quadrant
III
III IV
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Cartesian plane
Each point in the
coordinate plane is
associated with an
ordered pair, (x,y)
(x,y)
(x,y)
(x,y)
(x,y)
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The x and y of the ordered
pair,(x,y), are called
its coordinates
Cartesian plane
(x,y)
(x,y)
(x,y)
(x,y)
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Math AlertThere is an
infinite amount of
points in the Cartesian
plane
Cartesian plane
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Take note of these graphing basics
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Always start at (0,0)---everypoint
“originates” at the origin
Cartesian plane
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In plotting (x,y)
---remember the directions of
both the x and yaxis
Cartesian planey
x
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Cartesian plane
(x,---)x-axis goes left and right
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Cartesian plane
(---,y)y-axis goes up and down
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Now, let’s look at graphing…
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Now, let’s look at graphing…
(2,1)
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Cartesian plane
Start at (0,0)
( , ---) Move right
2
(2,1)+
(2,1)
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Cartesian plane
(---, ) (---, 1) Move up 1
(2,1)
+
(2,1)
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Now, let’s look at graphing…
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Now, let’s look at graphing…
(4, 2)
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Cartesian plane
Start at (0,0)
( , ---) Move right
4
+
(4, 2)
(4, 2)
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Cartesian plane
(---, ) (---, -2) Move down
2
(4, 2)
-
(4, 2)
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Now, let’s look at graphing…
![Page 31: In mathematics, we use a grid to locate points](https://reader036.vdocuments.site/reader036/viewer/2022062321/56649f2b5503460f94c45222/html5/thumbnails/31.jpg)
Now, let’s look at graphing…
( 3,5)
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Cartesian plane
Start at (0,0)
( , ---) Move left
3
( 3,5)-
( 3,5)
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Cartesian plane
(---, ) (---, 5) Move up 5
+
( 3,5)( 3,5)
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Now, let’s look at graphing…
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Now, let’s look at graphing…
(0, 4)
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Cartesian plane
Start at (0,0)
(none,---) No move
right or left
(0, 4)
(0,4)
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Cartesian plane
(0, ) (---, 4) Move up
4
+ (0, 4)(0,4)
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Now, let’s look at graphing…
![Page 39: In mathematics, we use a grid to locate points](https://reader036.vdocuments.site/reader036/viewer/2022062321/56649f2b5503460f94c45222/html5/thumbnails/39.jpg)
Now, let’s look at graphing…
( 5,0)
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Cartesian plane
Start at (0,0)
( ,---) Move left
5
( 5,0)
( 5,0)
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Cartesian plane
( ---, 0) No move
upor down
( 5,0)
( 5,0)
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Now, let’s look at a little graphing practice…
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Cartesian plane
Approximatethe
coordinatesof the point---Or what is the‘(x,y)’of thepoint?
Directions:
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
(2, 4)
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
( 4, 2)
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
(0,3)
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
(3, 3)
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
( 1,6)
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
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Cartesian plane
Approximatethe coordinatesof the point
Directions:
( 5,0)
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Cartesian plane
Find the coordinates of the point two
unitsto the left of
they-axis and five
units above the
x-axis
Directions:
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Cartesian plane
Find the coordinates of the point two
unitsto the left of
they-axis and five
units above the
x-axis
Directions:
( 2,5)
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Cartesian plane
Find the coordinates of
the point on the x-axis and three
units to the left of the y-axis
Directions:
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Cartesian plane
Find the coordinates of a point on the
x-axis and three units
to the left of the
y-axis
Directions:
( 3,0)