4.5 Relationships Within Triangles
Midsegments of a Triangle
I.SectionObjectives
- Identify the midsegment of a triangle.
- Apply the Midsegment Theorem to solve problems involving side lengths and midsegments of triangles.
- Use the Midsegment Theorem to solve problems involving variable side lengths and midsegments of triangles.
II.MultipleIntelligences
- The best way to differentiate this lesson is to be sure to draw out each of the diagrams in this text on the
board/overhead. - Begin by reviewing the Parallel Postulate.
- Review with a few examples.
- Introduce students to the Midsegment Theorem through a diagram first.
- Draw the diagram on the board. Ask students to brainstorm some of the conclusions that they can draw about
the diagram. - List these conclusions on the board.
- Then take the conclusions that have been generated and use them to write the Midsegment Theorem.
- Include the two statements that are proven in the lesson.
- Parallel to the third side
- Half as long as the third side
- Show students how to prove these two statements.
- Use the examples in the text to do this, but be sure that the students are following through on the examples.
- Intelligences- linguistic, logical- mathematical, visual- spatial, interpersonal
III.SpecialNeeds/Modifications
- Review symbols for parallel and congruent.
- The notes on how numbers 1 and 2 are proven are written out in paragraph form. Rewrite these notes in step
form so that the students can follow it easier. This will assist students who have any problem with visually
tracking information. - Review solving multi- step equations.
- Show students how to take the diagram and write an equation from the information.
- Then review solving the equation.
- Show how to apply solving to equation to Example 2 on page 268.
IV.AlternativeAssessment
- In this lesson, alternative assessment is done through observation.
Chapter 4. Geometry TE - Differentiated Instruction