ResourceMAP - Angle Measure - Teacher Edition

ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters.

Angle Measure

Look around you for a few seconds. It’s difficult to do so without seeing angles.
They’re everywhere. Lots of people measure angles in their work. In many cases,
they do not have to measure every angle. It is often possible to find other angle
measures when just one is known.

I. Purpose
• To solve real-world problems about angles formed by parallel lines and a
transversal
• To apply angle relationships in polygons and circles to real-world problems

II. Mathematical Focus
• Angles formed by parallel lines and a transversal
• Angles of triangles and other polygons
• Inscribed angles and central angles

III. Tip Sheets
Two Tip Sheets accompany this module.
• Parallels and Polygons: This Tip Sheet can be used to review angles
formed by parallel lines and a transversal as well as angles of triangles and
other polygons, if your students need to review either.
• Angles in Circles: This Tip Sheet can be used to review central and
inscribed angles if your students need such a review. Note that the second
page of this Tip Sheet is a discussion of angles formed by two chords that
intersect in a circle’s interior.