- Apply the Angle Bisector Theorem to identify the point of concurrency of the perpendicular bisectors of the
sides (the incenter). - Use the Angle Bisector Theorem to solve problems involving the incenter of triangles.
II.MultipleIntelligences
- Write the intention of this lesson on the board/overhead.
- The intention is to inscribe circles in triangles.
- Go through the material in the lesson.
- After teaching the material in the lesson, give the students an opportunity to work with large triangles and
inscribe circles in these triangles. - This can be a lot of fun.
- Encourage students to use colored pencils and to make their diagram as colorful as they wish.
- Also use large chart paper.
- Allow students the option of working in a small group or by themselves.
- Then ask them to draw a diagram that shows the Concurrency of Angle Bisector Theorem.
- Be sure that they label each part of the diagram.
III.SpecialNeeds/Modifications
- Review how to bisect and angle.
- Review that the bisector of an angle is the ray that divides the angle into two congruent angles.
- Remind students that with the Concurrency of Angle Bisectors Theorem, that we are going to show the point
of intersection. - Write these steps on the board.
- Draw in angle bisectors.
- Draw in perpendicular bisectors of each line segment.
- Show the point of intersection
- Use a compass to inscribe the circle inside the triangle.
IV.AlternativeAssessment
- Allow time for the students to present their work to the class or in small groups.
- Walk around and listen to the students discuss and explain their work.
- Use this as a way to assess student understanding.
Medians in Triangles
I.SectionObjectives
- Construct the medians of a triangle.
- Apply the Concurrency of Medians Theorem to identify the point of concurrency of the medians of the triangle
(the centroid). - Use the Concurrency of Medians Theorem to solve problems involving the centroid of triangles.
II.MultipleIntelligences
- Go through the initial material in this lesson first.
- Review the median of a triangle and how to find it.
Chapter 4. Geometry TE - Differentiated Instruction