The discovery of gold in transversal contributed to the start of

The goal of this unit is for students to understand the angles and the properties related

to parallel lines. Students will learn multiple methods for verifying that lines are parallel.

They will also understand the relationship of parallel lines to transversal lines.

It is important for students to see that mathematical concepts serve as useful means to

solving problems that affect our everyday lives. Parallel lines are important to

understand not only for a mathematics course, but also in everyday life such as in the

design of airports, railways, bridges, buildings and many more geometric components of

the real world.

In this five-lesson thematic unit, students will engage with the concept of parallel lines

cut by a transversal line as they design plans for various elements of a fictitious city.

Lessons 1 – 4 can be seen as “building block” lessons through which students acquire

and practice the skills needed to create the culminating city project. Lesson 5 is a

showcase lesson where students present their projects to the class and recap all that

they have learned throughout this thematic unit. Students will complete the city project

in groups of three or four. We believe that together, they can negotiate meaning and

deepen understanding as they work together to apply geometric concepts to each task.

Students will be given several criteria, which must be met in the design of their city, and

they will be asked to discuss how geometric methods can assist them in creating optimal

design for various elements of the city. For example, students will apply the angle

theorems to prove lines parallel, practice geometric proofs, constructions and discover

the connections to other topics. At the end of this project, students will be asked to

articulate their learning in written and oral summaries of their work to be presented to

their classmates in the final class lesson.

Explanation:

the images of war are haunting

attacks by the seljuk. a devastating blow to the entire byzantine world was dealt by christian crusaders from the west. the venetians were eager to destroy byzantine power and offered the crusaders money, ships, and part of the spoils of war.

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