Find point partitioning segment
Start lessonBegins with Directed segments section formula · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
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.
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HSG.GPE.B.6: Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
What you'll learn
- 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
Review first:
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Directed segments section formula
✓ Start here2
Similarity proof partition problems
Practice
Try it on your own
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