- Identify and use the Parallel Lines Property.
II.MultipleIntelligences
- The best way to differentiate this lesson is to do so as part of a discussion. You want the students to make
connections between the parallel lines, the transversal, and proving that the lines are parallel. - Demonstrate that it is possible to draw two lines and a transversal and have the lines not be parallel. This is
where things being true or not true comes into the lesson. - The students are going to work with you as you work on the board/overhead. Begin by drawing two parallel
lines and a transversal on the board. - Request that the students mirror this work at their seats. They will need paper, rules, pencils and protractors.
- Then go through measuring each pair of angles.
- Once this is finished, go though each postulate and theorem and demonstrate proving that the lines are parallel
using the postulates and theorems. - Remind students that they are “proving” the accuracy of the statement.
- Completing this lesson this way engages the following intelligences- linguistic, logical- mathematical, visual-
spatial, interpersonal, intrapersonal
III.SpecialNeeds/Modifications
- Review that what a conditional statement is and how to write the converse of a conditional statement.
- Practice writing converse statements from conditional statements by using real life examples.
- Be sure that the students understand this concept before moving on to the material in the lesson.
- Review the Transitive Property.
- Write all new terms on the board. Request that the students copy these notes in their notebooks.
IV.AlternativeAssessment
- The best way to assess student understanding is through observation.
- Ask probing questions, allow plenty of think time, and listen carefully to student responses during the work
of the lesson.
Slopes of Lines
I.SectionObjectives
- Identify and compute slope in the coordinate plane.
- Use the relationship between slopes of parallel lines.
- Use the relationship between slopes of perpendicular lines.
- Plot a line on a coordinate plane using different methods.
II.MultipleIntelligences
- For this lesson, be sure that students have grid paper, rulers and colored pencils.
- Complete each of the exercises in the text as a whole class.
- This will assist the students in practicing the constructions of lines and finding the slope of a line as you work
with them. - It might even make sense to have a list of the ordered pairs in each example prepared ahead of time and not use
the text at first. This way, you can go through each example with the students constructing lines and figuring
slopes on their own without the answers presented in the text.
Chapter 4. Geometry TE - Differentiated Instruction