Type of Class: All levels of high school Geometry

Related VA SOL: G.11

Time Frame: 90-minute block period

Objectives:

·        Students will construct a line segment congruent to a given line segment.

·        Students will construct the bisector of a line segment.

·        Students will construct a perpendicular line to a given line through a point not on the line.

·        Students will construct a perpendicular line to a given line through a point on the line.

·        Students will construct the bisector of a given angle.

·        Students will construct an angle congruent to a given angle.

Materials:

·        Worksheet #1 : Formal Constructions

·        Compass

·        Ruler

Procedures:

On worksheet #1:

A.     Line segment: constructing a line segment congruent to a given line segment.

B.     Bisector of a line segment: constructing a bisector of a line segment. This procedure is also used to construct a perpendicular bisector.

C.     Perpendicular lines: constructing a perpendicular line to a given line from a point on the line and constructing a perpendicular line to a given line from a point not on a line.

D.     Angles: constructing an angle congruent to a given angle and constructing an angle bisector.

Assessment:
Students need to practice constructing, not drawing these geometric objects. On a test or a quiz, you should include problems similar to the ones on the worksheet. While students are doing the worksheet, it is imperative for you to make yourself available to student questions.

Suggestions/Comments (if applicable):
Some students may have difficulties with this assignment, especially if they have never used a compass. If necessary, please go over the usage of compasses. This lesson may take another block. Let students help each other.