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Course, Subject

Geometry (Next Generation), Math, Science & Technology, Mathematics (NYS P-12 Next Generation)

Description

This lesson will introduce students to rotational transformations and rotational symmetry.

Resource/Materials

8.3 - Rotations.ppt
8.3 - Rotations.doc

Duration

42-minutes

Learning Objectives

Students will be able to: define rotation, define rotational symmetry, rotate an object clockwise and counterclockwise about the origin, and determine the rotational symmetry of an object.

Materials

Computer, SMART Board, LCD Projector

Step-by-Step Procedure

The "do-now" is the first slide of the presentation and will be on the board when the students come in to class. This is a follow up to the previous lesson that involved point reflection and leads in to the lesson on rotations. The next slide has some definitions, then the rest are interactive. Questions will be posed on each slide and students will have the opportunity to rotate each figure on the SMART Board in order to answer the questions. The answers are under a box that can be slid down to progressively reveal each answer. Students at their seats can follow along by graphing the given figures and rotating their paper to find the answers.

Assessment

Students will have to complete a class work assignment following the SMART Notebook presentation. For students with 504 accommodations, they will be able to take the assignment home to finish.

Related Academic Standards

New York State

GEO.G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another.

G-CO.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.

MST3.G.G.60 Students identify specific similarities by observing orientation, numbers of invariant points, and/or parallelism.

MST3.G.G.61 Students investigate, justify, and apply the analytical representations for translations, rotations about the origin of 90° and 180°, reflections over the lines x = 0, and y = x, and dilations centered at the origin.