Common Core State Standards Grades 9 - 12 Mathematics Training
Work Session 4: Unpacking Worksheet for CCSS Grades 9 - 12
Sample for CCSS G-SRT. 2
Directions: For the standard listed below, identify the prerequisite skills, key terms and
verbs, and corresponding definitions. Create a series of “I Can” statements and Essential
Questions.
G-SRT.2: Given two figures, use the definition of similarity in terms of similarity transformations to
decide if they are similar; explain using similarity transformations the meaning of similarity for triangles
as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of
sides.
This standard will be assessed in: ________Algebra I
___ Algebra II
Geometry
Course Emphases: ___Major Content
Supporting Content
_______ Additional Content
Connections to CCSS: _____________________________________________________________
Prerequisite Skills
Rigid motion: reflection, translation, rotation. Rigid motions move a figure while preserving its size and shape.
Dilation: a transformation that moves each point along the ray through the point emanating from a fixed center,
and multiplies the distances from the center by a common scale factor. It is a rescaling along radial lines centered
at a point. The scale factor is the ratio of the any length to its dilated image.
Key Terms (vocabulary)
Definition
Student-friendly language
Similarity
When one figure is the image of the
other under a transformation from
the plane into itself that multiplies all
distances by the same positive scale
factor, k.
Same shape, different size
Similarity transformation
___________________________
A slide, flip or turn followed by a rescaling
Corresponding
Relative position of two parts is the
same
Matching
Proportionality
A ratio of two quantities that is
constant
Key Verbs (skills)
Definition
Student-friendly language
Use
To put into service or apply
Apply
Explain
To make plain or clear
Give details
“I Can” statements in student-friendly language
I can move figures through sliding, flipping or turning it.
I can then change its size by enlarging or shrinking it.
I can change the position and size of an object but maintain its shape.
Essential Questions
Can a figure be mapped onto itself by a sequence of rigid motions and dilations? What is the
relationship between this mapping and the corresponding parts of the figure?
Are the corresponding parts congruent? Are they similar?