# 4. Use rigid transformations to solve problems (A)

teaches Common Core State Standards CCSS.Math.Content.8.G.A.1 http://corestandards.org/Math/Content/8/G/A/1
teaches Common Core State Standards CCSS.Math.Content.8.G.A.1a http://corestandards.org/Math/Content/8/G/A/1/a
teaches Common Core State Standards CCSS.Math.Content.8.G.A.1b http://corestandards.org/Math/Content/8/G/A/1/b
teaches Common Core State Standards CCSS.Math.Content.8.G.A.1c http://corestandards.org/Math/Content/8/G/A/1/c
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Apply knowledge of transformations to describe the movements of a game piece.

This lesson provides an opportunity for students to apply their knowledge and understanding of rigid transformations to a real-life situation. Students are asked to create and describe a path that will move a game piece along a board using rotations, reflections, and translations.

Key Concept students will use:

• Some attributes of geometric figures are unchanged when the figure undergoes a reflection, a rotation, or a translation.

Skills students will use:

• properties of translations, including descriptors such as "left," "right," "up," and "down"
• properties of reflections, including descriptors such as "horizontal" and "vertical"
• properties of rotations, including descriptors such as "clockwise" and "counterclockwise," as well as stating the degree of rotation

Students engage in Mathematical Practice 4 (Model with Mathematics) as they use their knowledge of the rigid transformations to describe the movement of a game piece.

Key vocabulary:

• clockwise rotation
• counterclockwise rotation
• horizontal reflection
• translation
• vertical reflection

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