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=Unit Title: Motion in Geometry = Grade Level: 9th and 10th grades Subject: Geometry Topic: Rigid Transformations

__Enduring Understandings __:
1. Students will understand that shapes can be moved using multiple methods. 2. Students will understand the effects of rigid movements on shapes. 3. Students will understand that movements can be specifically defined using coordinates, vectors, and function notations.

__Essential Questions __:
1. How do shapes change after each transformation? How are they the same? 2. How do the rigid transformations differ from one another? 3. How can we determine what the movement was based upon a sketch of the shapes? How can we define that transformation? 4. How can we repeat a transformation based upon certain information given to us?

__NCTM Standards __<span style="color: black; font-family: 'Arial','sans-serif'; font-size: 9.5pt;">:
<span style="color: black; font-family: 'Arial','sans-serif'; font-size: 9.5pt; line-height: normal; margin: 0in 0in 10pt;">Principal: 9th-12th Apply transformations and use symmetry to analyze mathematical situations <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 9.5pt; line-height: normal; margin: 0in 0in 10pt 0.5in;">Standard 9th-12th: All students should understand and represent translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 9.5pt; line-height: normal; margin: 0in 0in 10pt 0.5in;"> vectors, function notation, and matrices <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 9.5pt; line-height: normal; margin: 0in 0in 10pt 0.5in;">Standard 9th-12th: All students should use various representations to help understand the effects of simple transformations and their compositions