- Explain that the students are going to need to use theorems and proofs to “PROVE” each statement.
- The judges will be deciding if the students have successfully proved their statement.
- Students should work in groups of three for this assignment.
- The judges are also going to need to complete the work for all of the statements that way they know whether
or not students have successfully proven their statement. - Use Figure02.08.01- provide each group with a copy of the diagram.
- Here are some possible statements:
- AD∼=BC
- Given that^61 ∼=^6 2, which other angles are congruent?
- m^6 5 andm^66 = 90 ◦
- You can create as many different statements as you would like.
- Allow time for the students to work and then they present their case to the judges.
- The judges accept it or decline it. If accepted, students can work on another statement. If declined, the students
need to go back and try again.
III.MeetingObjectives
- Students will state theorems about special pairs of angles.
- Students will understand how to prove theorems about special pairs of angles.
- Students will apply the theorems in problem solving.
IV.NotesonAssessment
- Sit on the panel with the judges.
- Listen to the statements and offer feedback.
- The students can be given extra credit for the number of statements that they are able to prove.
- Students could also be given a classwork grade for this assignment.
5.2. Reasoning and Proof