Geo+Unit+3

1. Make sense of problems and perseveres in solving them. 2. Reasons abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity and repeated reasoning. || Remembering Understanding Applying Analyzing Evaluating Creating || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**===
 * ===**Common Core Standard(s)**===
 * G-SRT.1.**Verify experimentally the properties of dilations given by a center and a scale factor:
 * A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
 * The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
 * 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.
 * G-SRT.3**. Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
 * G-MG.1**. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).★
 * G-CO.6**. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
 * G-CO.4**. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
 * G-CO.3.**Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
 * 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.
 * 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). || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**===
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**=== || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**===

**I can...**

 * Dilate a figure when given the center and scale factor
 * Verify, when performing dilations of a line segment, that the ratio of the segments is the same as the scale factor
 * Use the idea of dilation to develop the definition of similarity
 * Explain that similar figures have proportional sides and congruent angles
 * Use the AA postulate to prove triangles are similar
 * Use geometric shapes, their measures and their properties to describe objects
 * Predict the effects of rigid motion on a coordinate plane
 * Develop the definition of congruency based on rigid transformations
 * Represent and compare rigid and size transformations
 * Compare transformations that preserve distance and angle measurement to those that do not
 * Describe and compare function translations
 * Describe and compare horizontal and vertical stretching of functions
 * Describe the rotation of figures that map onto itself
 * Describe the reflection of figures that map onto itself
 * Use various methods to perform transformations

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Essential Vocabulary**
dilation, scale factor, rotation, reflection, translation

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Sample Assessments**=== ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===