Geometry, Teacher\'s Edition

(Axel Boer) #1

  • To differentiate this lesson, teach the material in the lesson first, and then let students practice working with
    rotations.

  • The students are going to play a game called “Pass the Image”

  • To prepare this activity, you will need to prepare some small square images. You can design a square where it
    is divided on the diagonal and one- half of it is blue and the other half is red, etc.

  • Students are going to be given an image. They need to draw the image according to the rotation specified in
    the instruction.

  • For example, a student is given an image card, they start by drawing the image as it is.

  • Then they are told to draw it at 180◦rotation.

  • Then they draw it at a 90 degree rotation.

  • A 45 degree rotation.

  • A 270 degree rotation.

  • Then when finished, they pass the image and are given a new one.

  • You can do this several times and the students can then compare their work with other students who had the
    same images.

  • Break up students in pairs to have them compare and discuss their work.

  • Next, you can move to working with an image on the coordinate plane.

  • You can have students draw their own or work with the exercises in the text.

  • If you do this activity first, the students will have an excellent understanding of a rotation before moving to
    the coordinate grid.

  • Intelligences- linguistic, logical- mathematical, interpersonal, intrapersonal, visual- spatial, bodily- kines-
    thetic.


III.SpecialNeeds/Modifications



  • Review the basics of matrices.

  • Review how to multiply a matrix.

  • Review how to draw a matrix using the vertices of a polygon.

  • Define rotation



    1. Center at the origin with an angle of rotation ofn◦.





    1. Point moves counterclockwise along an arc of a circle.




IV.AlternativeAssessment



  • Create a “key” of what each image looks like after it is rotated.

  • Then use this key to check student work.


Composition


I.SectionObjectives



  • Understand the meaning of composition.

  • Plot the image of a point in a composite transformation.

  • Describe the effect of a composition on a point or polygon.

  • Supply a single transformation that is equivalent to a composite of two transformations.


II.MultipleIntelligences



  • Begin by introducing the concept of a composition.


Chapter 4. Geometry TE - Differentiated Instruction
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