graphing on a coordinate plane mr. caraba. objectives i will learn to: 1. find coordinates and...
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GRAPHING ON A COORDINATE PLANEMr. Caraba
Objectives
I will learn to:
1. Find coordinates and Quadrants of points on the Coordinate Plane
2. Graph points on a coordinate plane.
3. Find horizontal and vertical distances on the coordinate plane.
Vocabulary
Coordinate Plane is formed by two number lines, the x-axis and the y-axis.
Vocabulary
The two axis intersect at right angles and divide the plane into 4 quadrants.
Vocabulary
The intersection of the two axis is called ORIGIN. The coordinates of origin is (0,0)
The location of a point (coordinates) on the coordinate plane is given as an ordered pair.
In an ordered pair (x, y) the first number always represents the x value while the second number represents the y value.
Graphing Points on the Coordinate PlaneGraph each point.
A. T(–4, 4)
Start at the origin.Move 4 units left and 4 units up.
B. U(0, –5)
Start at the origin.Move 5 units down.
•T(–4, 4)
•U(0, –5)
C. V (–2, –3)
Start at the origin.Move 2 units left and 3 units down.
•V(–2, −3)
Finding Horizontal and Vertical Distances
Whenever the segments are horizontal or vertical, the length can be obtained by counting.
When we need to find the length (distance) of a segment such as AB, we simply COUNT the distance from point A to point B.(AB = ___)
We can use this same counting approach for CD .(CD = ___)
7
3
Finding Horizontal and Vertical Distances
You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.
Distance between Point A (-4, 2) and Point B (3, 2) can be also found by subtracting the x coordinates.
-4 – 3 = -7 Absolute value of -7 is 7 therefore the distance is 7
Finding Horizontal and Vertical Distances
You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.
Distance between Point C (-4, -1) and Point D (-4, -4) can be also found by subtracting the x coordinates.
-1 – (-4) = 3 Distance between points
C and D is 3
Finding Horizontal and Vertical Distances
You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.
Warning: The distance between point E and F (diagonal segment) CANNOT be found using the same principle.
Identifying the Quadrant of an ordered pair.
𝐴(−3 ,4)
Identify in which quadrant each point is located.
𝐵(−3 ,−2)𝐶 (2,−5)𝐷(−1 ,1)
𝐷(0 ,8)
II
IIIIV
IIBetween I and
IIOn y-axis