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). It is used to locate points using ordered pairs (x, y).

Tags

CCSS.5.G.A.1

Front

What are the coordinates of a point?

Back

Coordinates of a point are a pair of numbers (x, y) that define its position on the coordinate plane, where 'x' represents the horizontal position and 'y' represents the vertical position.

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 coordinates (0, 0).

Tags

CCSS.5.G.A.1

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

How do you identify the quadrant of a point?

Back

To identify the quadrant of a point (x, y), check the signs of x and y: if both are positive, it's in Quadrant I; if x is negative and y is positive, it's in Quadrant II; if both are negative, it's in Quadrant III; if x is positive and y is negative, it's in Quadrant IV.

Tags

CCSS.6.NS.C.6B

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

The distance formula is: Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent the coordinates of a point on the coordinate plane, written in the form (x, y).

Tags

CCSS.5.G.A.1

Front

What does the x-axis represent?

Back

The x-axis represents the horizontal line in the coordinate plane, where the y-coordinate is zero.

Tags

CCSS.5.G.A.1

Front

What does the y-axis represent?

Back

The y-axis represents the vertical line in the coordinate plane, where the x-coordinate is zero.

Tags

CCSS.5.G.A.1

Front

How do you plot a point on the coordinate plane?

Back

To plot a point (x, y), start at the origin (0, 0), move x units along the x-axis, and then move y units up (if y is positive) or down (if y is negative).

Tags

CCSS.5.G.A.2