GEOM.MATH.2.A

Determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one-and two-dimensional coordinate systems, including finding the midpoint.

Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
coordinatespointfractional distanceendline segmentone-dimensional coordinate systemtwo-dimensional coordinate systemmidpoint
Skills
  • determine (coordinates of a point at a fractional distance on a line segment in 1D or 2D) #dok2
  • find (midpoint on a line segment in one- and two-dimensional coordinate systems) #dok1
  • apply (fractional distances to locate points between endpoints) #dok2
  • use (coordinate systems to describe locations of points) #dok1
Learning Targets
  • I can find the midpoint of a line segment in one- and two-dimensional coordinate systems. #dok1
  • I can use coordinate systems to describe the location of a point. #dok1
  • I can determine the coordinates of a point that is a given fractional distance from one end of a line segment to the other in one-dimensional coordinate systems. #dok2
  • I can determine the coordinates of a point that is a given fractional distance from one end of a line segment to the other in two-dimensional coordinate systems. #dok2
  • I can apply the concept of fractional distances to locate points between endpoints on a line segment. #dok2
  • I can solve real-world and mathematical problems by finding locations of points at fractional distances and midpoints. #dok3
Big Ideas
  • The location of points on a line or line segment can be precisely described and calculated using coordinates, including points at fractional distances and midpoints.
  • Using coordinate systems and fractional distance concepts enables deep understanding and verification of geometric relationships.
Essential Questions
  • How can we find the coordinates of a point that is a certain fraction of the way between two endpoints on a line segment?
  • Why is finding the midpoint of a line segment useful in geometry and real-world contexts?
  • How does using the coordinate system help us verify relationships between points on a segment?
  • What strategies can be used to determine a point's location on a segment in one and two-dimensional spaces?
  • How do points located at fractional distances relate to division and proportion in geometry?