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?