The Math 2 students were offered an extra credit opportunity to design a map that includes several different kinds of lines and angle relationships they learned in the last two lessons of their unit: congruent or supplementary angles and parallel lines with a transversal.
The point of the project was for students to demonstrate their understanding of different angles as well as to understand when they are supplementary or congruent. They were asked to be creative when making their city as long as they placed their buildings in the following locations:
- 5 parallel streets
- 2 transversal streets
- 1 street intersecting another to form an obtuse angle
- 1 street intersecting another to form an acute angle
- 1 street that is a line segment
They also had to include:
- A gas station and restaurant (alternate exterior angles)
- Their house and a school (same side interior angle)
- A dry cleaners and a bank (vertical angles)
- A grocery store and a structure of their choice (corresponding angles)
- A library and a park (alternate interior angles)
- A movie theater and a mall (linear pair)
- A fire department and hospital (vertical angles)
- 2 other structures of their choice
The map they created included all of these guidelines, and then they explained the relationships between the buildings using the theorems and postulates in a write-up. By having so many guidelines, this project allowed students to really apply their knowledge of all the different sorts of angles and relationships.