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Transformations Unit – Translations

Subject:

Math  

Grades:

8, 9, 10, 11, 12  

Title – Transformations Unit – Translations
By – Cornelia Taran


 

Transformation Unit:

Lesson Plan 1: Translations

Content:

    The students will identify and locate translations.

Benchmarks:

  • G3.1: Distance-preserving transformations – isometries
  • METS 3.a.5: Students use online tutorial and discuss the benefits and disadvantages of this method of learning.

Learning Resources and Materials:

  • Transformation tool
  • Navigation through Geometry, NCTM
  • Translucent paper
  • Pictures with translations

Development of Lesson:

      Introduction:

 

        Objectives:

          The students will identify and locate translations.

 

        Anticipatory Set:

          Show pictures that represent translations.

 

        Lesson:

        • A translation “slides” an object a fixed distance in a given direction. The original object and its translation have the same shape and size, and they face in the same direction.
        • The word “translate” in Latin means, “carried across”.
        • Use translucent paper to create translations.

 

      Methods/Procedures:

 

      1. Draw a vector on one sheet of translucent paper.
      2. Draw an original shape on the sheet of paper.
      3. Place a second paper over the first sheet. On sheet 2, trace the endpoint of the arrow and draw a line that extends beyond the endpoint and head of the original arrow. Without moving sheet 2, trace the original figure.
      4. Place the second sheet under the original. Align the line on the second sheet and the vector on the first. Slide sheet 2 until the point you drew on the line is under the tip of the arrow.
      5. Trace the image from sheet 2 onto sheet 1. Label the original figure and the translated figure.


        Explain translations in the coordinate plane

 

 

      Assessment/Evaluation:

        Formative – monitor and provide feedback.

 

      Closure:

        Draw a triangle in the coordinate plane and translate it (6,-4)


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