- Explain that theorems need to be proven.
IV.AlternativeAssessment
- Use an observation checklist to observe students as they work.
- Notice who is having difficulty and who isn’t. Be sure to make a note of those students so that they can be
offered assistance or a peer tutor. - When possible, use peers to help explain concepts. The student teaching and the student learning both benefit
greatly.
Proofs about Angle Pairs
I.SectionObjectives
- State theorems about special pairs of angles.
- Understand proofs of the theorems about special pairs of angles.
- Apply the theorems in problem solving.
II.MultipleIntelligences
- Use the following activity to assist students in understanding theorems about special pairs of angles.
- Teach the content in the lesson. Be sure that the students have a good understanding of the concepts in the
lesson. Then divide students into groups. - Each group must make a diagram that illustrates each of the following theorems. They need to write a two
column proof to show how the diagram illustrates the theorem. - When all have finished, allow students time to share their work with the class.
- If time does not allow for students to work on all four of the theorems, assign each group a different theorem
to work with. - Students can complete their work using colored pencils, rulers and large chart paper.
- Intelligences- linguistic, logical- mathematical, bodily- kinesthetic, visual- spatial, interpersonal, intraper-
sonal.
III.SpecialNeeds/Modifications
- Review the basic definitions of right angles, supplementary angles, complementary angles, and vertical angles.
- Draw an example of each on the board/overhead.
- Explain to students how to move from the basic definition of each angle relationship to the theorem.
- Write each of the theorems on the board/overhead and request that students copy this information in their
notebooks.
IV.AlternativeAssessment
- Examine the work that the students completed on their chart paper. Notice which groups were more accurate
than others. - Pay attention to which groups expressed their reasoning well verbally.
- Notice which groups expresses their reasoning well in the diagram.
- If a letter grade is needed, assign the same assignment for homework and then grade student work the following
day. This will give you an excellent understanding of which students have a good grasp of the concepts and
who still needs more practice.
4.2. Reasoning and Proof