We will pick up with rotations. Students will rotate figures (90, 180 and 270 degrees) about the origin (in a coordinate graph) to study the properties of rotations so they can recognize when a figure has been rotated. They will analyze the relationship between the coordinates of the original figure (pre-image) and the image to develop an understanding of the how rotations effect a figure.
*Advanced Content: Students in advanced math will also rotate figures at degrees other than 90, 180, and 270 and about points other than the origin.
Thereafter, we will explore reflections. Students will reflect figures across the x-axis and y-axis (in a coordinate grid) as well as other horizontal and vertical lines to examine the properties of reflections. They will also investigate reflected images to identify how a reflection effects a figure.
*Advanced Content: Students in advanced math will reflect figures across diagonal lines as well.
This unit utilizes the following pre-requisite skills:
- integer operations
- graphing in the coordinate plane
- multiplying with fractions
Some students may require practice in some or all of the aforementioned pre-requisite skills to increase their success in this unit.
Students need to be familiar with the following key terms for this unit:
- translation
- rotation
- reflection
- x-axis
- y-axis
- horizontal
- vertical
- clockwise
- counterclockwise
- image
- pre-image
- point of rotation
- point of reflection