Coordinate Plane

Front

What is the definition of an ordered pair in the context of the coordinate plane?

Back

An ordered pair is a pair of numbers used to represent a point on the coordinate plane, typically written in the form (x, y), where x is the horizontal coordinate and y is the vertical coordinate.

Tags

CCSS.5.G.A.1

Front

What are the four quadrants of the 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 determine the quadrant of a point given its coordinates?

Back

To determine the quadrant, analyze the signs of the x and y coordinates: 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 significance of the x-axis and y-axis in the coordinate plane?

Back

The x-axis is the horizontal line that represents the set of all x-coordinates, while the y-axis is the vertical line that represents the set of all y-coordinates. Together, they divide the plane into four quadrants.

Tags

CCSS.5.G.A.1

Front

What is the coordinate of the origin in the coordinate plane?

Back

The coordinate of the origin is (0, 0), where the x-axis and y-axis intersect.

Tags

CCSS.5.G.A.1

Front

How can you identify the coordinates of a point on a graph?

Back

To identify the coordinates of a point, locate the point on the graph, then determine its horizontal position (x-coordinate) and vertical position (y-coordinate) relative to the axes.

Tags

CCSS.5.G.A.1

Front

What does it mean for a point to be on the x-axis?

Back

A point is on the x-axis if its y-coordinate is 0, meaning it lies horizontally along the x-axis.

Tags

CCSS.5.G.A.1

Front

What does it mean for a point to be on the y-axis?

Back

A point is on the y-axis if its x-coordinate is 0, meaning it lies vertically along the y-axis.

Tags

CCSS.5.G.A.1

Front

How do you plot a point given its coordinates?

Back

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

Tags

CCSS.5.G.A.2

Front

What is the relationship between the coordinates of a point and its location in the quadrants?

Back

The signs of the coordinates determine the quadrant: positive x and y place the point in Quadrant I, negative x and positive y in Quadrant II, negative x and y in Quadrant III, and positive x and negative y in Quadrant IV.

Tags

CCSS.6.NS.C.6B