Unit 2 transformations and congruence lesson 6 90 and 270 degree rotations

Answer 1

Lesson 6 in Unit 2 of transformations and congruence covers 90 and 270-degree rotations.

In this lesson, students will learn about rotations, a transformation that turns a figure around a fixed point called the center of rotation. Specifically, they will focus on rotations of 90 and 270 degrees.

The key concepts covered in this lesson are:

1. Rotations: Students will understand what rotations are and how they are performed. They will learn that a rotation of 90 degrees turns a figure one quarter turn clockwise or counterclockwise, while a rotation of 270 degrees turns a figure three quarter turns clockwise or counterclockwise.

2. Center of Rotation: Students will learn that the center of rotation is the point around which the figure rotates. They will understand how to determine the center of rotation by drawing lines connecting corresponding points before and after the rotation.

3. Properties of Rotations: Students will learn about the properties of rotations, including the fact that rotations preserve the size, shape, and orientation of the figure. They will see examples and practice identifying the properties of rotated figures.

4. Rotational Symmetry: Students will learn about rotational symmetry and how it relates to rotations. They will explore figures that have rotational symmetry and identify the degree of rotation that maps the figure onto itself.

During the lesson, students will engage in various activities and exercises to practice performing and understanding rotations of 90 and 270 degrees. They will also have opportunities to explore the concept of rotational symmetry and its connection to rotations.

At the end of the lesson, students should be able to perform 90 and 270-degree rotations accurately, identify the center of rotation, and describe the properties and characteristics of rotated figures. They should also be able to recognize and work with figures that have rotational symmetry.

Overall, this lesson provides a comprehensive introduction to rotations of 90 and 270 degrees and lays the foundation for further exploration of transformations and congruence in later lessons.