Download Introduction to Coordinate Geometry

Aim: How does plotting points on
Coordinate Axes help us find our way.
Do Now: Your ticket for the Opera is D3.
Can you locate your seat?
D
C
B
A
1
2
Aim: Introduction to Coord. Geo.
3
4
5
Course: Applied Geo.
Coordinate Geometry
Music and
Coordinate
Geometry
4
4
1st
measure
Aim: Introduction to Coord. Geo.
2nd
measure
Course: Applied Geo.
The Number Line
-7 Opposites
7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Negative numbers Positive numbers
Graph each number:
Aim: Introduction to Coord. Geo.
-4, -7, 3, 7
Course: Applied Geo.
The Coordinate Plane
y ordinate
Quadrant II
(-x, y)
(-4, 5)
9
8
Quadrant I
(x, y)
7
6
5
4
(0, 4)
3
2
(-6, 0)
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
(-5, -4)
x,y
(4, 5)
Ordered
Pair
Origin
(0, 0)
1 2
3 4
5
6
7 8 9
(7, 0)
x
abscissa
(0, -3)
-4
-5
(6, -5)
-6
-7
Quadrant III
(-x, -y)
-8
-9
Aim: Introduction to Coord. Geo.
Quadrant IV
(x,
-y)
Course: Applied Geo.
Terminology
(x, y) – an ordered pair of real numbers names each and every point on the
coordinate plane.
(x, y)
x
listed first and
represents the
horizontal
distance for
the origin
y
listed second
and represents
the vertical
distance for
the origin
(3.1234, -5.305)
Aim: Introduction to Coord. Geo.
Course: Applied Geo.
Model Problem
Name the coordinate points
8
6
4
2
5
-5
-2
-4
Aim: Introduction to Coord. Geo.
Course: Applied Geo.
Model Problem
Name a coordinate point in
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Aim: Introduction to Coord. Geo.
Course: Applied Geo.
Model Problem
Plot the following ordered pairs:
y
(3,3), (-4,3), (-4,-3),
9
and (3,-3). Connect the four
points. What shape is
the resulting figure? Can87 you find the area?
6
5
4
(-4,3)
(3,3)
3
2
6
1
1 2
-6 -5 -4 -3 -2 -1
3 4
5
-1
-2
-3
(-4,-3)
7
-4
-5
6
7 8 9
x
(3,-3)
Rectangle
-6
-7
A = lw
-8
-9
A = (7)(6) = 42 units2.
Aim: Introduction to Coord. Geo.
Course: Applied Geo.
Model Problem
Find the perimeter and area of the polygon
formed by the coordinates (-6,-2), (7, -2),
(7, 5), and (-6, 5).
8
6
4
2
-5
5
-2
-4
Aim: Introduction to Coord. Geo.
-6
Course: Applied Geo.
Model Problem
Find the area of the polygon formed by the
coordinates A(-2, 5), B(2, -2), and (-5, -2).
8
6
4
2
-5
5
-2
-4
-6
Aim: Introduction to Coord. Geo.
Course: Applied Geo.