Coordinate Grids & Patterns

Front

What is a coordinate grid?

Back

A coordinate grid is a two-dimensional plane formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs.

Front

What does an ordered pair represent?

Back

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

Front

What is the origin in a coordinate grid?

Back

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

Front

How do you plot the point (2, 3) on a coordinate grid?

Back

Start at the origin (0, 0), move 2 spaces to the right (x-axis), and then move 3 spaces up (y-axis).

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 on the grid.

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 on the grid.

Front

If a point is located at (5, 2), how far is it from the origin?

Back

The distance from the origin to the point (5, 2) can be calculated using the distance formula: √(5² + 2²) = √(25 + 4) = √29.

Front

What is the x-axis?

Back

The x-axis is the horizontal line on a coordinate grid where the y-coordinate is 0.

Front

What is the y-axis?

Back

The y-axis is the vertical line on a coordinate grid where the x-coordinate is 0.

Front

How do you identify the quadrant of a point (x, y)?

Back

The quadrant can be identified based on the signs of x and y: Quadrant I (x>0, y>0), Quadrant II (x<0, y>0), Quadrant III (x<0, y<0), Quadrant IV (x>0, y<0).