Lesson plan

7. May's Logo: Describe sequences of transformations in the coordinate plane (C)

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

7. May's Logo: Describe sequences of transformations in the coordinate plane (C)

Lesson objective: Describe sequences of transformations iin the coordinate plane.

Students bring prior knowledge of transformations from 8.G.1. and single transformations in 8.G.2. This prior knowledge is extended to sequences of transformations in the coordinate plane as students describe transformations that can be performed consecutively in order to produce one figure from another. A conceptual challenge students may encounter is trying to perform all transformations on the preimage, rather than completing them sequentially.

The concept is developed through work with a transformed logo, which students will transform to a new location with a new orientation.

This work helps students deepen their understanding of equivalence because rigid transformations in the coordinate plane always produce images that are congruent to the original figure.

Students engage in Mathematical Practice 4 (model with mathematics) as they prove figures congruent using rigid transformations. The task instructs students to prove three transformed drawings congruent to an original.

Key vocabulary:

  • center of rotation
  • congruent
  • line of reflection
  • reflect
  • rotate
  • translate

Special materials needed:

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