Introduction to the Coordinate Plane

Introduction to the Coordinate Plane

by Kevvin Hankins

The Coordinate Plane

​Standard

​MGSE6.NS.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

​Learning Targets

• ​I can explain the distance between 2 coordinates in the context of a problem.

• I can graph points to solve problems.

​Vocabulary

​Coordinate Plane

​x-axis

​y-axis

​ordered pair

​quadrant

​Guiding Question/Essential Question

​How do you graph numbers on a coordinate plane?

​How do you find the distance between two points on a coordinate plane?

Properties of the Coordinate Plane

• A coordinate plane is formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.

• The two axes (plural for axis) intersect vertically at a point called the origin of the coordinate plane.

• The axes also divide the coordinate plane into four regions called quadrants.

• The location of a point is given as an ordered pair of numbers, (x₁, y₁).

G6 Coordinate Plane

The x-axis is a horizontal number line.

The y-axis is a vertical number line.

Together, they allow you to locate points in two-dimensions!!!!

Multiple Choice

Which axis runs horizontally?

• x
• y

Quadrants

• Together the x and y axes split the plane into 4 sections, called quadrants

Multiple Choice

In which quadrant is the following point?

(-3, 12)

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Ordered Pair

The point (-4, 3) tells us to

start at the origin

go left 4

go up 3

Multiple Choice

Ordered pair (0,0) is also known as the ___.

• y-axis
• x-axis
• origin

Multiple Choice

What letter is located at (5, 7)

• A

• B

• C

• D

Multiple Choice

The vertical number line in the coordinate plane is called what?

• y-axis

• origin

• quadrant

• x-axis

Multiple Choice

What is the ordered pair of point E?

• (2,5)

• (5,2)

• (-5,2)

• (5,-2)

Multiple Choice

What is the ordered pair for the letter A?

• (2, 4)

• (4, 2)

• (-2, 4)

• (2, -4)

Multiple Choice

Where is the ordered pair (-6,-9) found?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

What letter is located at (8, 5)?

• A

• B

• C

• D

Multiple Choice

The axes divide the coordinate plane into four sections called what?

• ordered pairs

• origins

• quadrants

• coordinate plane

Multiple Choice

Which quadrant contains the point (2, 5)?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV