4.12 Transformations
Translations
I.SectionObjectives
- Graph a translation in a coordinate plane.
- Recognize that a translation is an isometry.
- Use vectors to represent a translation.
II.MultipleIntelligences
- To differentiate this lesson, make it very interactive.
- Be sure that students have graph paper, colored pencils and rulers at their seats. Work through this lesson on
the overhead projector with graph paper yourself so that the students can model the examples and work them
out themselves at their seats. - Begin by reviewing some information about translation.
- Have students draw a translation. Use the example from the text or create one of your own.
- Use the distance formula as was done in the text to review finding the coordinates to graph. Go the extra step
and graph an example with the students. - Define isometry- explain how the distance between the two points of an image is the same as the distance
between the two images. - When you look at the example that the students have just drawn, illustrate this.
- Then name it with the Translation Isometry Theorem.
- Move on to vectors. Begin by having students graph two line segments on a coordinate grid. You can use the
same line segments as in Example 2, or you can create your own. - The key is that you want the students to understand that the vector is the horizontal and vertical direction
connected with each graphed line segment. - Drawing in vectors is a great opportunity for students to use color to differentiate the vectors.
- Then ask students to name the horizontal component and the vertical component of the graphed line segments.
- Expand Example 3. Read through it with the students and then give them time to graph the two triangles and
to explore what happens to the triangles. - Allow time for student sharing.
- Intelligences- linguistic, logical- mathematical, visual- spatial, interpersonal
III.SpecialNeeds/Modifications
- Review translations and what makes a translation.
- Review using the distance formula with a translation.
- Define isometry.
- Define the Translation Isometry Theorem.
- Define Vector.
IV.AlternativeAssessment
4.12. Transformations