Unit 1
Student Learning Targets
Accelerated 7
Rigid Transformations
Moving in the Plane
- I can describe how a figure moves and turns to get from one position to another.
Naming the Moves
- I can identify corresponding points before and after a transformation.
- I know the difference between translations, rotations, and reflections.
Making the Moves
- I can use grids to carry out transformations of figures.
- I can use the terms translation, rotation, and reflection to precisely describe transformations.
Coordinate Moves
- I can apply transformations to points on a grid if I know their coordinates.
Properties of Rigid Transformations
No Bending or Stretching
- I can describe the effects of a rigid transformation on the lengths and angles in a polygon.
Rotation Patterns
- I can describe how to move one part of a figure to another using a rigid transformation.
Moves in Parallel
- I can describe the effects of a rigid transformation on a pair of parallel lines.
- If I have a pair of vertical angles and know the angle measure of one of them, I can find the angle measure of the other.
Composing Figures
- I can find missing side lengths or angle measures using properties of rigid transformations.
Congruence
What Is the Same?
- I can decide whether or not two figures are congruent using rigid transformations.
Congruence
- I can decide using rigid transformations whether or not two figures are congruent.
- I can use distances between points to decide if two figures are congruent.
Angles in a Triangle
Alternate Interior Angles
- I can find unknown angle measures by reasoning about complementary or supplementary angles.
- I can recognize when adjacent angles are complementary or supplementary.
- If I have two parallel lines cut by a transversal, I can identify alternate interior angles and use that to find missing angle measurements.
Adding the Angles in a Triangle
- I can determine whether three angles could make a triangle using their sum.
Parallel Lines and the Angles in a Triangle
- I can explain using pictures why the sum of the angles in any triangle is 180 degrees.