graphing on a coordinate plane mr. caraba. objectives i will learn to: 1. find coordinates and...

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GRAPHING ON A COORDINATE PLANE Mr. Caraba

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Page 1: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

GRAPHING ON A COORDINATE PLANEMr. Caraba

Page 2: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Objectives

I will learn to:

1. Find coordinates and Quadrants of points on the Coordinate Plane

2. Graph points on a coordinate plane.

3. Find horizontal and vertical distances on the coordinate plane.

Page 3: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Vocabulary

Coordinate Plane is formed by two number lines, the x-axis and the y-axis.

Page 4: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Vocabulary

The two axis intersect at right angles and divide the plane into 4 quadrants.

Page 5: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Vocabulary

The intersection of the two axis is called ORIGIN. The coordinates of origin is (0,0)

The location of a point (coordinates) on the coordinate plane is given as an ordered pair.

In an ordered pair (x, y) the first number always represents the x value while the second number represents the y value.

Page 6: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Graphing Points on the Coordinate PlaneGraph each point.

A. T(–4, 4)

Start at the origin.Move 4 units left and 4 units up.

B. U(0, –5)

Start at the origin.Move 5 units down.

•T(–4, 4)

•U(0, –5)

C. V (–2, –3)

Start at the origin.Move 2 units left and 3 units down.

•V(–2, −3)

Page 7: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Finding Horizontal and Vertical Distances

Whenever the segments are horizontal or vertical, the length can be obtained by counting.

When we need to find the length (distance) of a segment such as AB, we simply COUNT the distance from point A to point B.(AB = ___)

We can use this same counting approach for CD .(CD = ___)

7

3

Page 8: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Finding Horizontal and Vertical Distances

You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.

Distance between Point A (-4, 2) and Point B (3, 2) can be also found by subtracting the x coordinates.

-4 – 3 = -7 Absolute value of -7 is 7 therefore the distance is 7

Page 9: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Finding Horizontal and Vertical Distances

You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.

Distance between Point C (-4, -1) and Point D (-4, -4) can be also found by subtracting the x coordinates.

-1 – (-4) = 3 Distance between points

C and D is 3

Page 10: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Finding Horizontal and Vertical Distances

You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.

Warning: The distance between point E and F (diagonal segment) CANNOT be found using the same principle.

Page 11: GRAPHING ON A COORDINATE PLANE Mr. Caraba. Objectives I will learn to: 1. Find coordinates and Quadrants of points on the Coordinate Plane 2. Graph points

Identifying the Quadrant of an ordered pair.

𝐴(−3 ,4)

Identify in which quadrant each point is located.

𝐵(−3 ,−2)𝐶 (2,−5)𝐷(−1 ,1)

𝐷(0 ,8)

II

IIIIV

IIBetween I and

IIOn y-axis