TPACK

TPACK Framework Activity

• Content Knowledge

This activity centers around the first semester Geometry concept of angle pairs. Students will need to know the names of different angles, what they look like, how to find congruent angles, and how to apply their knowledge of angles to other areas of geometry including real-world application.

• KCAS

Congruence
Experiment with transformations in the plane

1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
2. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

• Pedagogy Knowledge

This will mainly be used to support our discussion and exploration of angles. It will provide the students with multiple resources to support their understanding throughout this section.

• Technology Knowledge

VoiceThread, Microsoft Office-Powerpoint and Word

• TPACK Solution