Download Unit 5 GCO 6 - Using Rigid motions to show congruence - UCCA-2011

Unit 5 GCO 6
Use the definition of congruence in terms of RIGID MOTIONS to decide if two figures are congruent.
Develop Understanding Lesson
Predict the effect of rotating, reflecting, or translating a given figure.
Surface ideas such as:
-sequences of transformations that will change the orientation of a shape
-describe transformations in student language
Invent strategies to:
-Make a figure of the same size and shape using rigid transformations
-Explore multiple methods to get the same “new shape”
_Describe transformations in a more uniform (developing) language
Create representations that :
-Show (diagram) rigid motions to get a congruent shape
-Explain (in words) rigid motions
Vocabulary to surface/develop: translation, rotation, reflection, transformations, rigid motions, congruence
Solidify Understanding Lesson
The concept that:
-Rigid motions can be used to create congruent shapes
-Angles and side lengths are the same
The strategy for:
-Determining congruence of different shapes using rigid motions
-Using angles and side lengths
The representations that:
-Utilize coordinate planes to show transformations
-Connect congruence to rigid motions
(explanation)
Vocabulary & concepts to surface/develop: coordinate planes, angles, sides, ASA, SAS, SSS
Practice Understanding Lesson
The definition of
-Congruence in terms of rigid motion.
The procedure for:
-Using a coordinate plane and mathematical language to describe rigid motion.
The representation that:
-Justifies the congruence of two figures using properties of rigid motions.
Task 1: Moving Figures
I.
For each of the following pairs, describe a series of transformations that
would generate the second triangle from the first. What is the relationship
between two triangles.
II.
Create a figure (shape). Use a series of rigid motions to make a second
figure. Then describe the transformations that were made. Compare and
contrast your first figure to the second.
Task 2: Moving On…
Show how many ways you can construct a triangle congruent to the given triangle
inside the rectangle. Demonstrate each.
Task 3: Justifying Congruence
Use rigid motions to transform three segments or angles of the triangle and
THIS
IS NOT
WHAT
WE
determine whether or not the
resulting
triangle
is congruent.
Explain your
HAVE
CONCLUDED!
conclusion.
I was just playing around…
Lorraine has an idea we’re
going to present…