4.1 Cartesian coordinates

Front

What is the Cartesian coordinate system?

Back

The Cartesian coordinate system is a two-dimensional system that uses a pair of numerical coordinates to determine the position of a point in a plane, defined by an x-axis (horizontal) and a y-axis (vertical).

Tags

CCSS.5.G.A.1

Front

What does the ordered pair (x, y) represent in Cartesian coordinates?

Back

In Cartesian coordinates, the ordered pair (x, y) represents the position of a point, where 'x' is the horizontal distance from the origin and 'y' is the vertical distance from the origin.

Tags

CCSS.5.G.A.1

Front

How do you determine the coordinates of a point that is 5 units to the right and 3 units up from the origin?

Back

To determine the coordinates, start at the origin (0,0) and move 5 units to the right along the x-axis and 3 units up along the y-axis, resulting in the coordinates (5, 3).

Tags

CCSS.5.G.A.2

Front

What are the coordinates of a point located at (-2, -4)?

Back

The coordinates (-2, -4) indicate a point that is 2 units to the left of the origin and 4 units down from the origin.

Tags

CCSS.6.NS.C.6B

Front

What is the significance of the order of coordinates in an ordered pair?

Back

The order of coordinates is significant because it indicates the position in the Cartesian plane; the first value (x) represents the horizontal position, while the second value (y) represents the vertical position.

Tags

CCSS.5.G.A.1

Front

How do you find the coordinates of a point given its location in the Cartesian plane?

Back

To find the coordinates of a point, identify its horizontal distance from the y-axis (x-value) and its vertical distance from the x-axis (y-value).

Tags

CCSS.5.G.A.1

Front

What are the coordinates for the location of the fly at (7, 5)?

Back

The coordinates (7, 5) indicate that the fly is located 7 units to the right of the origin and 5 units up from the origin.

Tags

CCSS.5.G.A.2

Front

What does it mean if a point has negative coordinates, such as (-2, -4)?

Back

Negative coordinates indicate that the point is located in the third quadrant of the Cartesian plane, where both the x-value and y-value are negative.

Tags

CCSS.6.NS.C.6B

Front

What is the origin in the Cartesian coordinate system?

Back

The origin is the point (0, 0) in the Cartesian coordinate system, where the x-axis and y-axis intersect.

Tags

CCSS.5.G.A.1

Front

How can you represent a point in the Cartesian plane using a graph?

Back

To represent a point in the Cartesian plane, plot the point by moving along the x-axis to the x-value and then moving vertically to the y-value.

Tags

CCSS.5.G.A.2