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Day 4:
Translations
Objectives:
Students will be able to define translations by a vector
Students will be able to apply the properties of translations
Students will be able to use translations to solve real world problems
Materials:
None
Activity:
Teacher defines terms and teorems, while doing examples (20 Min)
Translation: A translation by a vector AA' is a transformation that maps every
point P in the plane to a point P', so that the following properties are true:
1. PP' = AA', 2. PP'//AA' or PP' is collinear with AA'
Example: Picture of a translation
Example: Translation Vectors
vector v = <5,4>
Theorem 7.4: A translation is an isometry
Theorem 7.5: If lines l and m are parallel, then a reflection in line l followed by a
reflection in line m is a translation. If P" is the image of P after the two
reflections, then PP" is perpendicular to l and PP" = 2d, where d is the
distance between l and m.
Example:
Step 1 Step 2 Step 3
In-Class Practice
p. 348 (1-8)
Closing
Assign homework
p. 348 (15-18, 27-32, 37,38)
Assessment:
Informal
Check homework
Listen to comments made while creating translations
Formal
Qu-est at the end of the chapter