Common Core Math - HS Geometry
Lesson Plan
Find point partitioning segment
Goals / Objectives
Explain what a directed line segment is and how direction determines the order of the endpoints in partition problems
Derive and apply the section formula to find the point that divides a directed line segment in a given ratio m:n
Recognize the midpoint formula as the special case of the section formula when the ratio is 1:1
Solve problems that require finding a point a given fraction of the way from one endpoint to another
Connect the partition formula to proportional reasoning and similarity, explaining why the formula works
Standards
HSG.GPE.B.6
HSG.GPE.B.6: Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Academic Vocabulary
Not in our source material
Materials
Remediation
Enrichment
Accommodations
Not in our source material