- Write all of the theorems on the board/overhead as they are taught. Request that the students copy these notes
down in their notebooks. - Review the different types of triangles: acute, obtuse, equilateral, right.
- Review the parts of a triangle- sides and hypotenuse
- Review Pythagorean Theorem
- Show students how to connect the Pythagorean Theorem to the HL Congruence Theorem.
IV.AlternateAssessment
- Observe students as they work through the lesson with the uncooked spaghetti.
- Allow time for student thinking and feedback.
sing Congruent Triangles
I.SectionObjectives
- Apply various triangles congruence postulates and theorems.
- Know the ways in which you can prove parts of a triangle congruent.
- Find distances using congruent triangles.
- Use construction techniques to create congruent triangles.
II.MultipleIntelligences
- Divide the students into seven groups. Each group is assigned one of the theorems from the review.
- Then each group must create a diagram to show how each illustrates or does not illustrate congruence.
- Allow time for the students to work.
- When they have finished, allow time for each group to present their work to the class.
- When completing constructions, be sure that students have both a compass and a straightedge.
- Review the steps in the text on drawing a perpendicular bisector of the segment.
- Expand Example 4- Have the students practice drawing segments and practice drawing perpendicular bisectors
of each segment. - Students could work in pairs on this lesson.
- Intelligences- linguistic, logical- mathematical, visual- spatial, interpersonal
III.SpecialNeeds/Modifications
- Complete the Congruence Theorem Review. Create a chart with all of this information and be sure that
students copy it into their notebooks. - Write out the notes for proving parts congruent.
- Be sure students understand that they need to use the distance formula, and the reflexive property of congru-
ence, but that using a protractor does not necessarily mean that the triangles are congruent but similar.
IV.AlternativeAssessment
- Create a rubric to grade students on their group presentations.
- Share the rubric with them prior to assigning the group work.
- Then use the rubric to give students a quiz or class work grade.
4.4. Congruent Triangles