Parallel Lines and Transversals
I.SectionObjectives
- Identify angles formed by two parallel lines and a non- perpendicular transversal.
- Identify and use the Corresponding Angles Postulate.
- Identify and use the Alternate Interior Angles Theorem.
- Identify and use the Alternate Exterior Angles Theorem.
- Identify and use the Consecutive Interior Angles Theorem.
II.MultipleIntelligences
- This activity engages several of the intelligences, but also will demonstrate student understanding of the
postulates and theorems in this lesson. - Divide the students into a group of four.
- Assign each of the four students a different topic- Corresponding Angles Postulate, Alternate Interior Angles
Theorem, Alternate Exterior Angles Theorem, Consecutive Interior Angles Theorem. - Let the students know that their assignment is to prepare a lesson and teach the other students in the group
about their topic. They can use their notes, a diagram, real life examples, a poem, a song, whatever they would
like to make the topic clear. The other students in the groups will let the “teacher” know what he/she did well
and also offer suggestions to improve the presentation. - Intelligences- linguistic, logical- mathematical, musical, bodily- kinesthetic, visual- spatial, interpersonal,
intrapersonal
III.SpecialNeeds/Modifications
- Review the angles formed by a transversal
- Write all new postulates and theorems on the board/overhead. Request that the students copy this information
down in their notebooks. - Be sure to place students in a group where they will be well supported by their peers. Some groups are more
encouraging than others.
IV.AlternativeAssessment
- Create a rubric that covers the points that you want each student presentation to have.
- Share this rubric with the students.
- Observe students as they present their material.
- Include group feedback as part of the rubric.
- This could be used to calculate a quiz/classwork grade if necessary.
Proving Lines Parallel
I.SectionObjectives
- Identify and use the Converse of the Corresponding Angles Postulate.
- Identify and use the Converse of Alternate Interior Angles Theorem.
- Identify and use the Converse of Alternate Exterior Angles Theorem.
- Identify and use the Converse of Consecutive Interior Angles Theorem.
4.3. Parallel and Perpendicular Lines