G-GPE.2.6

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

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Formative Assessments
Formative Assessments
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Students are asked to find the coordinates of the centroid when given the ratio of a directed segment.
Centroid Coordinates
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Students are asked to find the coordinates of a point which partitions a segment in a given ratio.
Partitioning a Segment
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Virtual/Hands-on Manipulatives
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Assessment Questions
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Videos of Expert Instruction
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Kyle Dunn, a Tallahassee-based luthier and owner of Stringfest, discusses how math is related to music.
Amping Up Violin Tuning with Math
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Hook/Performance Tasks
Hook/Performance Tasks
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The purpose of this task is to use similar triangles in order to study the coordinates of points which divide a line segment in a given ratio.
Finding Triangle Coordinates
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The goal of this task is to apply dilations to a triangle in the coordinate plane. Students will need to find the coordinates of a point which cuts a given segment into one third (part a) and into two thirds (part b).
Scaling a Triangle in the Coordinate Plane
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