LEARN NC

K–12 teaching and learning · from the UNC School of Education

Symmetries II: Conclusions

http://illuminations.nctm.org/LessonDetail.aspx?ID=L473

A lesson plan for Grades 9–12 Geometry

Provider: National Council of Teachers of Mathematics

About this resource

Appropriate grades
9–12
Subjects
mathematics (geometry)
Provider
National Council of Teachers of Mathematics

Legal

Creative Commons License

This catalog record is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License. This license applies to the content of this page only and does not apply to the referenced website.

In this final lesson of a series, students put together and review all they have learned in the previous lesson. The teacher guides students through a series of questions about the process they used and the information they learned.

NCTM Standards and Expectations covered in this lesson include:

  • Understanding and representing translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, vectors, function notation, and matrices.
  • Using various representations to help understand the effects of simple transformations and their compositions.
  • Using geometric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture.

North Carolina Curriculum Alignment

Mathematics (2004)

Grades 9–12 — Geometry

  • Goal 2: Geometry and Measurement - The learner will use geometric and algebraic properties of figures to solve problems and write proofs.
    • Objective 2.01: Use logic and deductive reasoning to draw conclusions and solve problems.
    • Objective 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems and write proofs.
    • Objective 2.04: Develop and apply properties of solids to solve problems.
  • Goal 3: Algebra - The learner will transform geometric figures in the coordinate plane algebraically.
    • Objective 3.01: Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.