About This Lesson
Learning Objective
Students will use a primary source, a historic ship chart used in steamship travel to solve mathematical problems, finding the midpoint in ocean crossings.
Education Standards
Common Core: HSG-GPE.B.6: Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Additional State Education Standards
Texas – TEKS
111.41.c.2
(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to:
(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;
(B) derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines; and
(C) determine an equation of a line parallel or perpendicular to a given line that passes through a given point.
