Math I Unit 3 Geometry © 2005 Learning Concepts
Mathematics I
Unit 3 - Geometry
Concept 3 - Triangle Points of Concurrency
Plan for the Concept, Topic, or Skill – Not for the Day
Session#2
Essential Question:
3. How can I find points of concurrency in triangles?
4. How can I use points of concurrency in triangles?
Activating Strategies: (Learners Mentally Active)
Warm-Up:
Please match the following prefixes to their correct meaning:
1. In a. center
2. Centr b. around
3. Circum c. in, into
4. Ortho d. straight, correct
Answers: 1 – C, 2 – A, 3 – B, 4 - D
Acceleration/Previewing: (Key Vocabulary)
Vocabulary: incenter, orthocenter, circumcenter, centroid
Notes for the teacher about this vocabulary: (keep this in mind throughout today’s lesson)
• Orthocenter can lie inside and outside of a triangle.
• Incenter always lies inside the triangle.
• Centroid always lies inside the triangle. Also note that this is the point of balance for the triangle.
• Circumcenter can lie inside the triangle, on the triangle, or outside the triangle.
• Anything that involves an altitude may lie outside of the triangle.
Teaching Strategies: (Collaborative Pairs; Distributed Guided Practice; Distributed
Summarizing; Graphic Organizers)
Amusement Park Task (Continued)
Reassemble the same groups from the previous lesson and ask them to pull out the handouts and
constructions from the previous day to refer to.
Distribute Amusement Park Handout page # 7.
Have students answer question #6 and then discuss it.
Have students fill in the blanks on the worksheet using the word bank. Remind them to think about
the Warm-Up and what the prefixes meant.
The teacher should summarize and clarify these definitions.
Have students answer questions #7, 8, and 9. Discuss their answers after students have had time to
complete the questions.
(You may have to assign #9 as homework if you run out of time)
4 Segments in a Triangle Graphic Organizer
Please pass this graphic organizer out to students. Think-Pair-Share this graphic organizer. Give
students five to six minutes to fill in their organizer and then four to five minutes to share with their
partner. If students did not draw examples of each point of concurrency in the appropriate area,