Lesson plan

# 10. Use sequences of transformations to design a skatepark (A)

teaches Common Core State Standards CCSS.Math.Content.8.G.A.2 http://corestandards.org/Math/Content/8/G/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Apply understanding of sequences of transformations in the coordinate plane.

This lesson provides an opportunity for students to apply their knowledge and understanding of transformations in the coordinate plane to a real-life situation. Students are asked to describe transformations in the coordinate plane that will move skatepark equipment within a given area so that skaters can use the entire park.

Key Concept students will use:

• A two-dimensional figure is congruent to another if we can describe a sequence of reflections, rotations, and translations on the first that produces the second.

Skills students will use:

• describing transformations in the coordinate plane
• performing sequences of transformations in the coordinate plane

Students engage in Mathematical Practice 7 (look for and make use of structure) as they use the features of the coordinate plane to transform skatepark equipment from one location to another. Students may need to be reminded of all necessary information that must be included in the description of specific types of transformations (line of reflection; center, degree, and direction of rotation; direction and number of units of translation). Care should also be taken that the students create transposed figures that are congruent to the original; for this reason, patty (tracing) paper might be a useful tool for this lesson.

Key vocabulary:

• center of rotation
• line
• line of reflection
• origin
• point
• reflect
• rotate
• translate

Special materials needed:

• patty paper (optional)
• transparency and wet or dry-erase markers (an optional alternative to patty paper)