aim: introduction to coord. geo. course: applied geo. do now: your ticket for the opera is d3. can...
TRANSCRIPT
Aim: Introduction to Coord. Geo. Course: Applied Geo.
Do Now: Your ticket for the Opera is D3. Can you locate your seat?
Aim: How does plotting points on
Coordinate Axes help us find our way.
D
C
B
A
1 2 3 4 5
Aim: Introduction to Coord. Geo. Course: Applied Geo.
Coordinate Geometry
1st measure
2nd measure
Music and Coordinate Geometry
4
4
Aim: Introduction to Coord. Geo. Course: Applied Geo.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Graph each number: -4, -7, 3,
Positive numbersNegative numbers
7
-7 7 Opposites
The Number Line
Aim: Introduction to Coord. Geo. Course: Applied Geo.
The Coordinate Plane
x abscissa
y ordinate
Origin (0, 0)
1 2 3 4 5 6 7 8 9-3-4 -1-2-5-6
1
2
3
4
5
6
7
8
9
-1
-2
-3
-4
-5
-6
-7
-8
-9
Quadrant I
(4, 5)
(7, 0)
(0, 4)(-4, 5)
(-6, 0)
x,yOrdered
Pair
(-5, -4)
(0, -3)
(6, -5)
Quadrant II
Quadrant IVQuadrant III
(x, y)(-x, y)
(-x, -y) (x, -y)
Aim: Introduction to Coord. Geo. 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
8
6
4
2
-2
-4
-5 5
Name the coordinate points
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
x
y
1 2 3 4 5 6 7 8 9-3-4 -1-2-5-6
1
2
3
4
5
6
7
8
9
-1
-2
-3
-4
-5
-6
-7
-8
-9
Plot the following ordered pairs: (3,3), (-4,3), (-4,-3), and (3,-3). Connect the four points. What shape is the resulting figure? Can you find the area?
(-4,-3) (3,-3)
(-4,3) (3,3)
Rectangle
A = (7)(6) = 42 units2.
7
6
A = lw
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
-2
-4
-6
-5 5
Aim: Introduction to Coord. Geo. 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
-2
-4
-6
-5 5