Lesson 2.2 Constructions for Parallel and Perpendicular Lines
Digital Lesson format is compatible with Google slides®
Paper and Pencil Constructions Lab to accompany digital lesson
Materials: Compass; straightedge; worksheet; device with internet
Students learn how to do different types of constructions with a compass and straightedge:
-Parallel line through a point not on the line
-Perpendicular line through a point not on the line
This lesson lets students explore making constructions with lines in a discovery fashion. The lesson starts with students reviewing prerequisite skills. Next, students review the slope of a line from algebra. Students investigate parallel, perpendicular and intersecting lines by analyzing their slopes. Students are led to draw parallel lines on the coordinate plane by sketching in the rise and run for both lines. The rise and run form triangles with the lines. Congruent triangles are discovered, which leads students to the fact that if parallel lines are cut by a transversal, then the corresponding angles have equal measure. So, instead of just telling students to copy an angle to create parallel lines, they build up to the idea through a series of exercises.
Worksheets may be printed out, or you may have students draw their own lines and points.
The lesson ends with a self assessment where students correctly order the steps to two of the constructions and complete fill in the blank questions about parallel lines and perpendicular lines.
Note: Lesson format is compatible with Google slides®
Answer keys included
Pages: 66 slides + 4 pages instructions+ 4 printables with their 4answer keys
Duration: 120 minutes