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Engage students in a city-building project where they construct parallel and perpendicular lines to create a unique city layout. Students will utilize compass, ruler, and color pencils to design streets and place buildings according to angle relationships.

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Review

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  1. Review • Name the transversal line(s). 2. <6 and <9 3. <4 and <11 4. <6 and <10 5. <13 and <14 6. <1 and <14 7. <2 and <5 8. True or False: <13 and <3 are Alternate Exterior Angles.

  2. Perpendicular Transversal Theorem • In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. Example: If line k is parallel to line l and line k is perpendicular to line t, then line l is perpendicular to line t.

  3. Constructions • Return whiteboards, markers and erasers. Pick up compass and ruler. Parallel Lines http://www.mathopenref.com/constparallel.html Perpendicular lines http://www.mathopenref.com/constperpextpoint.html

  4. Build a City Project Materials: Poster or blank paper (provided by Mrs. Johnson), compass, straightedge, color pencils Directions: Assume no two buildings can occupy the same space. Make your construction lines light so they do not dominate the picture. Make sure names are school appropriate!

  5. Today Draw a city with the following conditions: Be creative with the names of streets. This is YOUR town (ex: JohnsonVille would have streets named Dancers Ave, Music Street, etc) 1. Write the name of your town at the top of your poster. 2. Use a straight edge to draw and name a street across your paper. 3. Draw and name a street that intersects the previous street drawn. (do not make these perpendicular looking) 4. Construct and name two streets that are parallel to one of the streets you just drew. (doesn’t matter which one) 5. Construct and name one transversal street that are perpendicular to the parallel streets. 6. Come to Mrs. Johnson and have her sign your paper_________________ 7. Use a black or brown marker to outline the streets of your city and their names.

  6. Tomorrow Be creative with the buildings. Use color pencils to color the buildings. 8. Sketch a house and a school on a pair of Consecutive interior angles. 9. Sketch a bank and a post office on a pair of corresponding angles. a. Place a City Hall so that it is a linear pair with the post office. 10. Sketch a grocery store and an electronic store on a pair of alternate interior angles. a. Place a gas station so that it is a vertical angle with the grocery store. 11. Sketch a movie theater and a pet store on a pair of alternate exterior angles. 12. Sketch a park and a restaurant at either corresponding angles OR alternate exterior angles. 13. Sketch a car on each of your transversals (don’t forget your stop signs and to buckle up! ) 14. If your name is not obvious in the name of your town, write your name on your poster. Turn in your poster and this paper. Example

  7. Rubric City Planning Project Rubric City named appropriately _____ / 3 Street names are appropriate and labeled _____ / 3 Two parallel lines constructed properly _____ / 10 One perpendicular line constructed properly _____ / 10 House and school are Consecutive interior angles _____ / 3 Bank and post office are corresponding angles _____ / 3 City Hall and post office are a linear pair _____ / 3 Grocery and electronic store are alt. interior angles _____ / 3 Gas station and grocery store are vertical angles _____ / 3 Movie theater and pet store are alt. exterior angles _____ / 3 Park and restaurant are at corr. or alt ext. angles _____ / 3 A car is on each transversal _____ / 3 TOTAL POINTS ______________ / 50 pts.

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