Treasure Map - Coordinate Distance

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a grid or map, usually represented as (x, y).

Tags

CCSS.5.G.A.1

Front

What does the term 'quadrant' refer to in a coordinate system?

Back

A quadrant is one of the four sections of a coordinate plane, divided by the x-axis and y-axis.

Tags

CCSS.5.G.A.1

Front

What is the distance formula in a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is calculated using the formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

How do you determine the distance between two points in the same quadrant?

Back

To find the distance between two points in the same quadrant, use the distance formula and ensure both points have positive or negative values that match the quadrant.

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of the origin in a coordinate system?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect, serving as the reference point for all other coordinates.

Tags

CCSS.5.G.A.1

Front

How do you identify the coordinates of a point located 8 miles north of the origin?

Back

The coordinates would be (0, 8) since moving north affects only the y-coordinate.

Tags

CCSS.5.G.A.1

Front

What is the distance between the points (0, 5) and (0, 8)?

Back

The distance is 3 miles, calculated as |8 - 5|.

Tags

CCSS.6.NS.C.8

Front

How do you find the distance between two points in different quadrants?

Back

Use the distance formula, taking into account the signs of the coordinates based on their respective quadrants.

Tags

CCSS.HSG.GPE.B.7

Front

What does it mean if two points are equidistant from a third point?

Back

It means that both points are the same distance away from the third point.

Front

How can you determine who is closer to a specific point on a coordinate plane?

Back

Calculate the distance from each point to the specific point using the distance formula and compare the results.

Tags

CCSS.HSG.GPE.B.7