- Review the concept of a perfect square.
IV.AlternativeAssessment
- Observe students as they work.
- Check in periodically throughout the lesson to be sure that students understand the material.
- Review any information that is not clear.
Converse of the Pythagorean Theorem
I.SectionObjectives
- Understand the converse of the Pythagorean Theorem.
- Identify acute triangles from side measures.
- Identify obtuse triangles from side measures.
- Classify triangles in a number of different ways.
II.MultipleIntelligences
- Begin by teaching all of the information in this lesson.
- You will need to prepare this activity by creating triangles of different sizes to put around the room. Be sure
that there are some acute, obtuse and right triangles. - Then, let students know that they are going to go on a triangle hunt. They are going to search around the room
and locate different triangles. - Each student needs to find a triangle and test it out to figure out if the triangle is an acute, obtuse or right
triangle. - They need to be prepared to justify their answer.
- The students should repeat this process with three different triangles.
- When finished, have the students gather in small groups to share their findings.
- Intelligences- linguistic, logical- mathematical, visual- spatial, bodily- kinesthetic, interpersonal, intraper-
sonal.
III.SpecialNeeds/Modifications
- Define the Converse of the Pythagorean Theorem.
- Review that a converse statement switches the if and the then part of a conditional statement.
- Write out the formula for finding out whether a triangle is right triangle, an acute triangle or an obtuse triangle.
IV.AlternativeAssessment
- Listen in on the group discussions.
- Be sure to ask questions and probe into student thinking.
- Also check each student’s work on the triangles.
- This will help you to assess the accuracy of the student work.
- You may want to collect the work for a classwork grade.
Using Similar Right Triangles
I.SectionObjectives
Chapter 4. Geometry TE - Differentiated Instruction