Coordinate Plane

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair of numbers (x, y).

Tags

CCSS.5.G.A.1

Front

What are the axes in a coordinate plane?

Back

The axes in a coordinate plane are the x-axis (horizontal) and the y-axis (vertical). They intersect at the origin (0, 0).

Tags

CCSS.5.G.A.1

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Tags

CCSS.5.G.A.1

Front

What does the first number in an ordered pair represent?

Back

The first number in an ordered pair represents the x-coordinate, which indicates the horizontal position of the point.

Tags

CCSS.5.G.A.1

Front

What does the second number in an ordered pair represent?

Back

The second number in an ordered pair represents the y-coordinate, which indicates the vertical position of the point.

Tags

CCSS.5.G.A.1

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the ordered pair (0, 0).

Tags

CCSS.5.G.A.1

Front

How do you plot a point on a coordinate plane?

Back

To plot a point, start at the origin (0, 0). Move horizontally to the x-coordinate and then vertically to the y-coordinate.

Tags

CCSS.5.G.A.2

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Tags

CCSS.6.NS.C.6B

Front

What is the distance between the points (2, 3) and (2, 5)?

Back

The distance is 2 units, as they have the same x-coordinate and differ in the y-coordinate.

Tags

CCSS.6.G.A.3

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

The distance is calculated using the distance formula: √((x2 - x1)² + (y2 - y1)²) = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7