Coordinate System
Coordinate System
| Coordinate Plane/System: |
combines two real number lines
perpendicular to each other and that intersect at 0 on
each line. |
| René Descartes: |
The great French
mathematician/philosopher who developed the coordinate
system. He lived from 1596-1650. |
| Axes: |
the x-axis and y-axis in a coordinate
system. |
| Origin: |
the point at which the x and y axes
intersect. |
| Quadrants: |
the four regions created by the
intersection of the axes. |
| Coordinates: |
an ordered pair that indicates a point of
location. |
Signs of Coordinates in the Plane
In Quadrant 1, the x-coordinate and y-coordinate are both
positive.
In Quadrant 2, the x-coordinate is always negative and the
y-coordinate is always positive.
In Quadrant 3, the x-coordinate and y-coordinate are both
negative.
In Quadrant 4, the x-coordinate is always positive and the
y-coordinate is always negative.
On the x-axis, the y-coordinate is always 0.
On the y-axis, the x-coordinate is always 0.
Quadrants:
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simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values) |
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finding LCM and GCF |
|
operations with complex numbers (simplifying, rationalizing complex denominators...) |
|
solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations) |
|
solving a system of two and three linear equations (including Cramer's rule) |
|
graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions) |
|
graphing general functions |
|
operations with functions (composition, inverse, range, domain...) |
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simplifying logarithms |
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arithmetic and other pre-algebra topics (ratios, proportions, measurements...) |
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