Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.
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Transcript of Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.
![Page 1: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/1.jpg)
Plotting Points on a Cartesian Plane
Presenters:
Mr. Gayle
Mrs. McDonald
Mr. Allen
April 3, 2013
![Page 2: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/2.jpg)
OBJECTIVES1. Locate a given ordered pair on a grid.
2. Plot a given ordered pair on a grid.
3. Explain how a knowledge of coordinate geometry is applicable to real-life.
![Page 3: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/3.jpg)
REVISION1. Name the two axes found on a Cartesian
plane.
2. On a grid, which axis runs… (a) vertically ? (b) horizontally?
3. How many quadrants are there on a grid?
The X axis and the Y axis
4 quadrants
The X axisThe Y axis
![Page 4: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/4.jpg)
4. In which quadrant would an ordered pair of two negative values be plotted?
5. In which quadrant are the X values negative and the Y values positive?
6. What is the name given to the point where the axes intersect?
Quadrant 3
Quadrant 2
The origin
![Page 5: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/5.jpg)
5 steps to the left.
2 steps
up
Help Captain Jack find his treasure. Here is the clue:
![Page 6: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/6.jpg)
![Page 7: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/7.jpg)
• From the origin, (0, 0), positive integers indicate movements to the right and up along the x and y axes respectively.
LOCATING A POINT
![Page 8: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/8.jpg)
• From the origin, (0,0), negative integers indicate movements to the left and down along the x and y axes respectively.
LOCATING A POINT
![Page 9: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/9.jpg)
• The points that will be located are known as an ordered pair (coordinates) and comes in the form of
(x , y) or (x value , y value)
The ordered pair will always meet at a point. This is the intersection of the x and y coordinates.
LOCATING A POINT
![Page 10: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/10.jpg)
LOCATE THE POINTS, LOCATE THE POINTS, K, T & WK, T & W
![Page 11: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/11.jpg)
• The points that will be plotted are known as an ordered pairs (coordinates) and comes in the form of
(x , y) or (x value , y value)
• The ordered pair will always meet at a point. This is the intersection of the x and y coordinates.
Let’s Now Plot Some Points Together
PLOTTING A POINTPLOTTING A POINT
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A ( 2, 3 )
(X, Y)
B ( 5, 7 )
A
B
C ( -4, 6)D (-9, 1 )
E (-3, -6)F (-7, -8)
G ( 4, -7)
H ( 9, -4)
C
D
E
F
G
H
![Page 13: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/13.jpg)
• Access the internet.• Go to web address:
http://www.wisc-online.com/Objects/ViewObject.aspx?ID=abm201
• Select the most suitable response in each of the given questions.
GROUP ACTIVITYGROUP ACTIVITY
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• Complete the given worksheet.
• Plot the given coordinates
(-10,1), (8,1), (6,-4), (-5,-4) end of sequence.
(-5,2), (-1,2), (-1,7) end of sequence.
(1, 2), (6,2), (1, 10) end of sequence.
Identify the shapes and name the object formed.
CULMINATING ACTIVITYCULMINATING ACTIVITY
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Remember these guidelines when you locate and plot coordinates on the Cartesian plane.
• The points that will be located or plotted are known as an ordered pairs (coordinates) and comes in the form of
(x , y) or (x value , y value)
The ordered pair will always meet at a point. This is the intersection of the x and y coordinates.
RECAPITULATIONRECAPITULATION
![Page 16: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/16.jpg)
• Always begin locating or plotting your ordered pairs from the origin (0,0).
• Each first value in an ordered pair represents the x coordinate, and each second value represents the y coordinate.
RECAPITULATIONRECAPITULATION
![Page 17: Plotting Points on a Cartesian Plane Presenters: Mr. Gayle Mrs. McDonald Mr. Allen April 3, 2013.](https://reader036.fdocuments.in/reader036/viewer/2022081514/5697bf8e1a28abf838c8cc64/html5/thumbnails/17.jpg)
• Conduct a research on how coordinate geometry is applicable to real life.
HOME WORKHOME WORK