TRANSLATION: ACTING OUT TRANSLATED FIGURES

Bibliographic Information:
Killian, Elaine. Acting Out Translated Figures.

Mathematical Concept: Translation

Grade Levels: 7th – 8th

NCTM Standards and Principles of School Mathematics:
• Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.
• Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
• Use geometric models to represent and explain numerical and algebraic relationships.
• Recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life.

Materials:
Masking Taped Grid on the floor of the class
Yarn
Different pre-cut figures written down in (x, y) notation
Copies of Translation Worksheet

Detailed Description:
The following activity will describe translation of figures. By completion of this lesson, students should understand that a translated image is an image that “slides” in a given direction. The original object and its translation have the same shape, size, and face in the same direction. Students will “Act Out” a figure in the exercise given below. Students will participate by being the original figure and a translated figure.

Procedure:
1. Before class, the teacher will create an x and y axis grid on the floor using masking tape.
2. Divide the class into small working groups.
3. Students will come up to the table groups and choose a figure to represent.
4. The figure will be written down in (x, y) ordered notation form.
5. Each student will represent a point on the polygon. The polygon will be completed using yarn to connect the points (students)
6. The next group will come up and perform the given translation.
7. Each group should get a chance to be the original figure and the translated figure.
8. To follow up student comprehension, students will be given the attached “Translation” worksheet for homework.

Attachment: Worksheet/Activity Student Page
Translation – Handout

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