2. 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

3. Aim: Introduction to Coord. Geo. Course: Applied Geo. Coordinate Geometry 1 st measure 2 nd measure Music and Coordinate Geometry

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

5. Aim: Introduction to Coord. Geo. Course: Applied Geo. The Coordinate Plane x abscissa y ordinate Origin (0, 0) 123456789 -3-4-2-5-6 1 2 3 4 5 6 7 8 9 -2 -3 -4 -5 -6 -7 -8 -9 Quadrant I (4, 5) (7, 0) (0, 4) (-4, 5) (-6, 0) x,y Ordered Pair (-5, -4) (0, -3) (6, -5) Quadrant II Quadrant IV Quadrant III (x, y)(-x, y) (-x, -y) (x, -y)

6. 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)

7. Aim: Introduction to Coord. Geo. Course: Applied Geo. Model Problem Name the coordinate points

8. Aim: Introduction to Coord. Geo. Course: Applied Geo. Model Problem Name a coordinate point in Quadrant I Quadrant II Quadrant III Quadrant IV

9. Aim: Introduction to Coord. Geo. Course: Applied Geo. Model Problem x y 123456789 -3-4-2-5-6 1 2 3 4 5 6 7 8 9 -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 units 2. 7 6 A = lw

10. 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).

11. 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).