Lesson: Performing Rotations
Prerequisite Knowledge:
Students must have prior knowledge the coordinate plane. They must have knowledge regarding right
angles.
Learning
Objectives: Students will be able to identify a rotation. Students will be able to visualize a rotation
about the coordinate plane. Students will be able to perform regular polygon
rotations of 90, 180 and 270 degrees on a coordinate plane.
Key
Ideas: Rotations of (x,y) about the origin
Rotation
of 90 (-y,x)
Rotation
of 180(-x,-y)
Rotation
of 270 (y, -x)
Motivational
Problem: Have each student take two
pieces of patty paper. On both of the
pieces, have the students draw an x and y axis in dark marker. On one piece of patty paper, have students draw a
regular polygon in the first quadrant. In their notebooks ask them to sketch the polygon as they rotate the
figure 90°, 180° and 270°.
This
can be modeled by teacher using a transparency on the overhead.
Important
Questions: What is a center of rotation? Explain why rotating 90 degrees clockwise is the same thing as rotating
270 counter clockwise.