5 Minute Check Identify the ordered pair and the quadrant. 1. D 2. U 3. J 4. M 5. P 6. S

5 Minute Check Identify the ordered pair and the quadrant. 1. D

5 Minute Check Identify the ordered pair and the quadrant. 1. D (3,-5), Q IV

5 Minute Check Identify the ordered pair and the quadrant. 2. U

5 Minute Check Identify the ordered pair and the quadrant. 2. U (1, 3), Q I

5 Minute Check Identify the ordered pair and the quadrant. 3. J

5 Minute Check Identify the ordered pair and the quadrant. 3. J (-4,-5), Q III

5 Minute Check Identify the ordered pair and the quadrant. 4. M

5 Minute Check Identify the ordered pair and the quadrant. 4. M (5, 4), Q I

5 Minute Check Identify the ordered pair and the quadrant. 5. P

5 Minute Check Identify the ordered pair and the quadrant. 5. P (-5, 4), Q II

5 Minute Check Identify the ordered pair and the quadrant. 6. S

5 Minute Check Identify the ordered pair and the quadrant. 6. S (-2, 1), Q II

Wednesday, Nov 13 Lesson 5.7 Graphing on the Coordinate Plane

Objective: To understand how to graph geometric shapes on the coordinate plane.

Graphing on the Coordinate Plane At the end of this lesson you should be able to answer the following question. How can the coordinate plane be used to represent geometric figures?

Graphing on the Coordinate Plane A coordinate plane is a grid with a vertical y- axis and horizontal x-axis. y-axis x-axis

Graphing on the Coordinate Plane The center of the coordinate plane is called the origin. y-axis origin x-axis

Graphing on the Coordinate Plane The coordinate plane is divided into four quadrants. Quadrant II y-axis Quadrant I origin x-axis Quadrant III Quadrant IV

Graphing on the Coordinate Plane You can use an ordered pair (x,y) to locate any point on the plane. The first number in an ordered pair is the x- coordinate. The second number in an ordered pair is the y-coordinate.

Graphing on the Coordinate Plane Name the ordered pair and quadrant.

Graphing on the Coordinate Plane Name the ordered pair and quadrant. (-3,5), Q II (-3, 5)

Graphing on the Coordinate Plane Name the ordered pair and quadrant.

Graphing on the Coordinate Plane Name the ordered pair and quadrant. (-2.5,-3), Q III (-2.5, -3)

Graphing on the Coordinate Plane Graph (2,-4) and it’s reflection across the x- axis. Remember – when graphing a reflection the coordinate of the axis of reflection stays the same.

Graphing on the Coordinate Plane Graph (2,-4) and it’s reflection across the x- axis. (2, -4) (2, 4)

Graphing on the Coordinate Plane Graph (-1.5, 3) and it’s reflection across the y- axis.

Graphing on the Coordinate Plane Graph (-1.5, 3) and it’s reflection across the y- axis. (-1.5, -3) (-1.5, 3)

Graphing on the Coordinate Plane Graph (-1.5, 3) and it’s reflection across the y- axis. (1.5, 3) (-1.5, 3)

Graphing on the Coordinate Plane Graph (-1, -5) and it’s reflection across the x- axis.

Graphing on the Coordinate Plane Graph (-1, -5) and it’s reflection across the x- axis. (-1, 5) (-1, -5)

Graphing on the Coordinate Plane Graph (2, 3.5) and it’s reflection across the y- axis.

Graphing on the Coordinate Plane Graph (2, 3.5) and it’s reflection across the y- axis. (-2, 3.5) (2, 3.5)

Graphing on the Coordinate Plane Create a square with the given points. What are the other points? (-4, 4) (1, 4)

Graphing on the Coordinate Plane Create a square with the given points. What are the other points? (-4, -1) and (1, -1) (-4, 4) (1, 4)

Graphing on the Coordinate Plane Create a square with the given points. What are the other points? What is the perimeter of the square? (-4, 4) (1, 4)

Graphing on the Coordinate Plane Create a square with the given points. What are the other points? What is the perimeter of the square? 5 units · 4 = 20 units (-4, 4) (1, 4)

Graphing on the Coordinate Plane Graph points at E(-1,-4) and F(-3.5,4). Reflect point F across the x-axis and connect all the points. What is the shape?

Graphing on the Coordinate Plane Graph points at E(-1,-4) and F(-3.5,4). Reflect point F across the x-axis and connect all the points. What is the shape? A triangle with vertices at (-3.5, 4), (-3.5, -4) and (-1,-4) (-3.5, 4) (-3.5, -4)

Graphing on the Coordinate Plane Draw the triangle A(3,1), B(-2,1) and C(-2,-5). What is the area of the triangle?

Graphing on the Coordinate Plane Draw the triangle A(3,1), B(-2,1) and C(-2,-5). What is the area of the triangle? A∆ = b · h ÷ 2

Graphing on the Coordinate Plane Draw the points G(-3,5), H(3,5), I(5,0), J (0,-4) and K(-5,0) and connect in alphabetical order. Connect K to G. What is the shape? A∆ A∆ = A∆ = A∆ = A∆

Graphing on the Coordinate Plane Draw the points G(-3,5), H(3,5), I(5,0), J (0,-4) and K(-5,0) and connect in alphabetical order. Connect K to G. What is the shape? A pentagon A∆ A∆ = A∆ = A∆ = A∆ HG I J K

Graphing on the Coordinate Plane Draw the triangle A(3,1), B(-2,1) and C(-2,-5). What is the area of the triangle? A∆ = b · h ÷ 2 A∆ A∆ = 5 · 6 ÷ 2 A∆ = A∆ = A∆ = A∆ = A∆ = 15 units² (3,1) (-2,1) (-2,-5)

Graphing on the Coordinate Plane Mr. Avery is using the coordinate plane to design a logo. He graphs points at (2,4) and (-2,2). He reflects (-2, 2) across the x-axis, then he reflects the new point across the y-axis. What shape is the logo?

Graphing on the Coordinate Plane Mr. Avery is using the coordinate plane to design a logo. He graphs points at (2,4) and (-2, 2). He reflects (-2, 2) across the x-axis, then he reflects the new point across the y-axis. What shape is the logo? The shape is a trapezoid. (-2, 2) (2, 4) (-2, -2) (2, -2)

Graphing on the Coordinate Plane How can the coordinate plane be used to represent geometric figures?

Graphing on the Coordinate Plane Agenda Notes Homework – Homework Practice 5-7 Due Thursday, Nov 14 Chapter 5 Test –Friday, Nov 15 After School Help Session Thursday, Nov 14 – 2:15 – 3PM