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Common Core: Math
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 In Topic G, students review material covered throughout the module. Additionally, students discuss the structure of geometry as an axiomatic system.

 Topic F is a review that highlights how geometric assumptions underpin the facts established thereafter.

 The module closes with a return to constructions in Topic E (G.CO.13).

 In Topic D, Proving Properties of Geometric Figures, students use what they have learned in Topics A through C to prove properties—those that have been accepted as true and those that are new—of...

 Topic C, Transformations, builds on students’ intuitive understanding developed in Grade 8. With the help of manipulatives, students observed how reflections, translations, and rotations behave...

 Constructions segue into Topic B, Unknown Angles, which consists of unknown angle problems and proofs. These exercises consolidate students’ prior body of geometric facts and prime students’...

 Students begin this module with Topic A, Constructions. Major constructions include an equilateral triangle, an angle bisector, and a perpendicular bisector. Students synthesize their knowledge of...

 Student Outcomes Students review the principles addressed in Module 1.

 Student Outcomes Students examine the basic geometric assumptions from which all other facts can be derived. Students review the principles addressed in Module 1.

 Student Outcomes Students complete the construction of a ninepoint circle.

 Student Outcomes Students learn to construct a square and begin to construct a ninepoint circle.

 Student Outcomes Students examine the relationships created by special lines in triangles, namely medians.

 Student Outcomes Students examine the relationships created by special lines in triangles, namely midsegments.

 Student Outcomes Students complete proofs that incorporate properties of parallelograms.

 Student Outcomes Students complete proofs requiring a synthesis of the skills learned in the last four lessons.

 Student Outcomes Students complete proofs requiring a synthesis of the skills learned in the last four lessons.

 Student Outcomes Students learn why any two triangles that satisfy the SAA or HL congruence criteria must be congruent. Students learn why any two triangles that meet the AAA or SSA criteria are not...

 Student Outcomes Students learn why any two triangles that satisfy the ASA or SSS congruence criteria must be congruent.

 Student Outcomes Students examine two different proof techniques via a familiar theorem. Students complete proofs involving properties of an isosceles triangle.

 Student Outcomes Students learn why any two triangles that satisfy the SAS congruence criterion must be congruent.

 Student Outcomes Students practice applying a sequence of rigid motions from one figure onto another figure in order to demonstrate that the figures are congruent.

 Student Outcomes Students will understand that a congruence between ﬁgures gives rise to a correspondence between parts such that corresponding parts are congruent, and they will be able to state the...

 Student Outcomes Students begin developing the capacity to speak and write articulately using the concept of congruence. This involves being able to repeat the definition of congruence and use it in...

 Student Outcomes Students learn to construct a line parallel to a given line through a point not on that line using a rotation by 180˚. They learn how to prove the alternate interior angles theorem...