Section	Teacher-facing learning goals
Constructions	Lesson 1 Comprehend that compasses create circles and can be used to transfer distances across a construction. Create diagrams using a straightedge to produce a line or segment through two points. Lesson 2 Create a construction from instructions (in written language). Describe (in writing) construction steps precisely. Lesson 3 Comprehend that a perpendicular bisector is the set of points equidistant from two given points. Construct a perpendicular bisector. Lesson 4 Construct an equilateral triangle. Use circles in a construction to reason (using words and other representations) about lengths in figures. Lesson 5 Construct a line that’s perpendicular to a given line through a given point on the line. Construct an angle bisector. Lesson 6 Construct a line parallel to a given line that goes through a point not on the given line. Construct a line perpendicular to a given line that goes through a point not on the given line. Lesson 7 Construct a square. Describe (orally and in writing) the diagonals of a square and use these conjectures to construct a square inscribed in a circle. Lesson 8 - Optional Coordinate (orally) technology tools with paper and pencil tools to construct a diagram. Lesson 9 Choose geometric methods to solve design problems. Construct perpendicular bisectors and explain (in writing) how they are used to solve problems.
Rigid Transformations	Lesson 10 Comprehend that rigid transformations produce congruent figures by preserving distance and angles. Draw the result of a transformation (in written language) of a given figure. Explain (orally and in writing) a sequence of transformations to take a given figure onto another. Lesson 11 Comprehend that the term "reflection" (in written and spoken language) requires specifying a line of reflection. Determine whether a figure is a reflection of another. Draw reflections of figures. Lesson 12 Comprehend that the term "translation" (in written and spoken language) requires specifying a directed line segment. Determine whether a figure is a translation of another. Draw translations of figures. Lesson 13 Comprehend that rigid transformations produce congruent figures by preserving distance and angles. Draw the result of a transformation (in written language) of a given figure. Explain (orally and in writing) a sequence of transformations to take a given figure onto another. Lesson 14 Comprehend that the term "rotation" (in written and spoken language) requires several descriptors including angle, center, and direction. Determine whether a figure is a rotation of another. Draw rotations of figures. Lesson 15 Describe (orally and in writing) the reflections that take a figure onto itself. Learning 16 Describe (orally and in writing) the rotations that take a figure onto itself. Lesson 17 Compare and contrast (orally) diagrams of transformations. Comprehend that the notation A′ represents the image of point A. Explain (orally and in writing) a sequence of transformations that take given points to another set of points. Lesson 18 - Optional Draw the result of a transformation (in written language) of a given figure. Explain (orally and in writing) a sequence of transformations to take a given figure onto another.
Evidence and Proof	Lesson 19 Label diagrams and explain conjectures (orally and in writing). Prove (in writing) that vertical angles are congruent. Lesson 20 Prove (in writing) that when a transversal crosses parallel lines, alternate interior angles are congruent. Prove that when a transversal crosses parallel lines, corresponding angles are congruent. Lesson 21 Prove (in writing) that the sum of the measures of the angles in a triangle is 180 degrees.
Designs	Lesson 22 - Optional Create a new geometric pattern using construction techniques. Create a pattern from instructions (in written language). Describe (in writing) how to recreate a pattern.

Geo.1: Constructions and Rigid Transformations