Download 1.3.1 Transformations

Number of Instructional Days: 13
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Standards: Congruence
G-CO
Experiment with transformations in the plane
G-CO.2
Represent transformations in the plane using, e.g.,
transparencies and geometry software; describe transformations as functions
that take points in the plane as inputs and give other points as outputs.
Compare transformations that preserve distance and angle to those that do
not (e.g., translation versus horizontal stretch).
G-CO.3
Given a rectangle, parallelogram, trapezoid, or regular polygon,
describe the rotations and reflections that carry it onto itself.
G-CO.4
Develop definitions of rotations, reflections, and translations in
terms of angles, circles, perpendicular lines, parallel lines, and line segments.
G-CO.5
Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure using, e.g., graph paper, tracing
paper, or geometry software. Specify a sequence of transformations that will
carry a given figure onto another.
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Model with Mathematics
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Use Appropriate Tools Strategically
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Attend to Precision
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Look for and Make Use of Structure
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Where would your understanding of
transformations be helpful in the real world?
Why is it important to know the definitions of
angle, parallel lines, and perpendicular bisector
when discussing rotations, translations, and
reflections?
What is the connection between coordinate
notation and a verbal description of a
transformation?
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Is a function that changes the position,
shape, and/or size of a figure
Preimage: is the starting position
Image: is the end position
In these examples, the preimage is green
and the image is pink
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Is a transformation that has an image
congruent to the preimage.
This means all angles measures and side
lengths are preserved (remain the
same.)
Also known as rigid transformations