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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.

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5 minute check
5 Minute Check

Identify the ordered pair and the quadrant.

1. D

2. U

3. J

4. M

5. P

6. S


5 minute check1
5 Minute Check

Identify the ordered pair and the quadrant.

1. D


5 minute check2
5 Minute Check

Identify the ordered pair and the quadrant.

1. D

(3,-5), QIV


5 minute check3
5 Minute Check

Identify the ordered pair and the quadrant.

2. U


5 minute check4
5 Minute Check

Identify the ordered pair and the quadrant.

2. U

(1, 3), QI


5 minute check5
5 Minute Check

Identify the ordered pair and the quadrant.

3. J


5 minute check6
5 Minute Check

Identify the ordered pair and the quadrant.

3. J

(-4,-5), QIII


5 minute check7
5 Minute Check

Identify the ordered pair and the quadrant.

4. M


5 minute check8
5 Minute Check

Identify the ordered pair and the quadrant.

4. M

(5, 4), QI


5 minute check9
5 Minute Check

Identify the ordered pair and the quadrant.

5. P


5 minute check10
5 Minute Check

Identify the ordered pair and the quadrant.

5. P

(-5, 4), QII


5 minute check11
5 Minute Check

Identify the ordered pair and the quadrant.

6. S


5 minute check12
5 Minute Check

Identify the ordered pair and the quadrant.

6. S

(-2, 1), QII


Wednesday nov 13
Wednesday, Nov 13

Lesson 5.7

Graphing on the Coordinate Plane


Graphing on the coordinate plane
Graphing on the Coordinate Plane

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


Graphing on the coordinate plane1
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 plane2
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 plane3
Graphing on the Coordinate Plane

The center of the coordinate plane is called the origin.

y-axis

origin

x-axis


Graphing on the coordinate plane4
Graphing on the Coordinate Plane

The coordinate plane is divided into four quadrants.

Quadrant IIy-axis Quadrant I

origin

x-axis

Quadrant III Quadrant IV


Graphing on the coordinate plane5
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 plane6
Graphing on the Coordinate Plane

Name the ordered pair and quadrant.


Graphing on the coordinate plane7
Graphing on the Coordinate Plane

Name the ordered pair and quadrant.

(-3,5), QII

(-3, 5)


Graphing on the coordinate plane8
Graphing on the Coordinate Plane

Name the ordered pair and quadrant.


Graphing on the coordinate plane9
Graphing on the Coordinate Plane

Name the ordered pair and quadrant.

(-2.5,-3), QIII

(-2.5, -3)


Graphing on the coordinate plane10
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 plane11
Graphing on the Coordinate Plane

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

(2, 4)

(2, -4)


Graphing on the coordinate plane12
Graphing on the Coordinate Plane

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


Graphing on the coordinate plane13
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 plane14
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 plane15
Graphing on the Coordinate Plane

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


Graphing on the coordinate plane16
Graphing on the Coordinate Plane

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

(-1, 5)

(-1, -5)


Graphing on the coordinate plane17
Graphing on the Coordinate Plane

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


Graphing on the coordinate plane18
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 plane19
Graphing on the Coordinate Plane

Create a square with the given points. What are the other points?

(1, 4)

(-4, 4)


Graphing on the coordinate plane20
Graphing on the Coordinate Plane

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

(1, 4)

(-4, 4)


Graphing on the coordinate plane21
Graphing on the Coordinate Plane

Create a square with the given points. What are the other points? What is the perimeter

of the square?

(1, 4)

(-4, 4)


Graphing on the coordinate plane22
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

(1, 4)

(-4, 4)


Graphing on the coordinate plane23
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 plane24
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)

(-1, -4)

(-3.5, -4)


Graphing on the coordinate plane25
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 plane26
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 plane27
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 plane28
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∆

G

H

I

K

J


Graphing on the coordinate plane29
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

(-2,1)

(3,1)

(-2,-5)


Graphing on the coordinate plane30
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 plane31
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, 4)

(-2, 2)

(-2, -2)

(2, -2)


Graphing on the coordinate plane32
Graphing on the Coordinate Plane

How can the coordinate plane be used to represent geometric figures?


Graphing on the coordinate plane33
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


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