Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital

Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Constructions Parallel and Perpendicular Lines - Investigative Lesson Digital
Subject
Grade Levels
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PDF

(2 MB|78 pages)
Standards
Also included in:
  1. Geometry Constructions Bundle 5 Digital Lesson format is compatible with Google slides® Paper and Pencil Constructions Lab to accompany digital lesson Lesson 2.1 Lab*: Compass & Straightedge Constructions: Perpendicular Bisector, Angle Bisector, Equilateral Triangle Lesson 2.2 Lab*: Construct P
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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 lines

-Parallel line through a point not on the line

-Perpendicular lines

-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.

Practice worksheets

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

CCSS.MATH.CONTENT.HSG.CO.D.12

Log in to see state-specific standards (only available in the US).
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Total Pages
78 pages
Answer Key
Included
Teaching Duration
2 hours
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