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4th yr.- Ruby
And
Ernesto Rondon Highschool
Presents
Cartesian Plane
(A lecture presentation in Math 4 )
Prepared by: Joe Olivare
IVYr.- Ruby
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What is Cartesian Plane ?
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Cartesian Plane :
- or Cartesian Coordinate System specifies each point uniquely in a plane by a pair of numerical coordinates which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length.
- It’s main function is to plot or graph ordered pairs (x,y).
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Rene Descartes -inventor of cartesian coordinate system.
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Different Parts & Functions of Cartesian Plane
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X-
axis
Y-axis
Origin
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
(+,+)
(-,+)
(-,-) (+,-)
(0,0)
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The 2 Cartesian Coordinates :
- The X-coordinate /X-axis/abcissa is
the horizontal line in the graph.
- The
Y-coordinate/Y-axis/ordinate is the vertical line in the graph.
- The coordinates are written as an ordered pair (x, y) and they are perpendicular to each other.
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Other terms for : X
X-coordinate
abcissa
Y
Y-coordinate
ordinate
domainRange
Independent variable
Dependent variable
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Origin :
- the origin is the point of intersection of (x,y) with the coordinates (0,0).
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Quadrants : -The axes of a two- dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.
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Different Regions :
- Quadrant I is positive to positive(+,+).
- Quadrant II is negative to positive(-,+).
- Quadrant III is negative to negative(-,-).
- Quadrant IV is positive to negative(+,-).
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Plotting Points
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Here’s an example :Suppose you were told to locate using a map "(3, 5)" (pronounced as "the point three five" or just “three two") on the place. Where would you look? To understand the meaning of "(3, 5)", you have to know the following rule: The x-coordinate (the number for the x-axis) always comes first. The first number (the first coordinate) is always on the horizontal axis.
Ready
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Here’s how:
So, for the point (3, 5), you would start at the "origin", the spot where the axes cross:then count over to “three" on
the x-axis:
then count up to “five", moving parallel to the y-axis:and then draw in the dot:
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Exerc
ises
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Now, you learned to plot and graph, let see how good are you now in this activity…
PROCEED
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1. (4, -5) 2. (-3, -1)
Plot the following :
Reveal the answer
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:
(4, -5)
(-3,-1)
Answers :
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Great job!! Now you’ve survived this activity…
So, What are the things that you learned about Cartesian planes ?..
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Hope you enjoyed !!..
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Prepared by: Joe olivare