Section

Teacher-facing learning goals

Congruent Triangles

Lesson 1

Determine whether or not figures are congruent by reasoning about rigid transformations (in writing).
Generate and comprehend congruence statements (orally and in writing) that establish corresponding parts.

Lesson 2

Justify whether or not figures are congruent by reasoning about rigid transformations (in writing).
Practice generating and comprehending congruence statements (orally and in writing) that establish corresponding parts.

Lesson 3

Justify (orally and in writing) that two triangles are congruent if and only if all corresponding sides and angles are congruent.

Lesson 4

Generate (orally) conjectures about sufficient conditions to prove that triangles are congruent.

Lesson 5

Prove (in writing) two segments are congruent if and only if they have the same length.

Lesson 6

Lesson 7

Lesson 8

Critique others' reasoning (in written language) about the Perpendicular Bisector Theorem.
Prove (orally and in writing) the Perpendicular Bisector Theorem.

Lesson 9

Lesson 10

Generate (orally and in writing) conjectures about quadrilaterals.
Identify situations where Side-Side-Side, Angle-Side-Angle, and Side-Angle-Side Triangle Congruence Theorems apply, and use them to prove theorems (in writing).

Lesson 11 - Optional

Generate examples and counter-examples of Side-Side-Angle triangle congruence (using words and other representations).

Proofs about Quadrilaterals

Lesson 12

Comprehend a conjecture and express it (in writing) as a specific statement to prove.
Critique others' reasoning (in spoken and written language) about quadrilaterals.
Prove (in writing) theorems about quadrilaterals.

Lesson 13

Justify (orally) and prove (in writing) that the diagonals of a parallelogram bisect each other.
Prove (orally and in writing) that if the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Lesson 14

Critique others' reasoning (in spoken and written language) about constructions.
Justify (in writing) that the angle bisector construction works.
Justify (orally) that the perpendicular bisector construction works.

Putting It All Together

Lesson 15

Generate (in writing) conjectures about quadrilateral congruence.
Prove (in writing) quadrilateral congruence theorems using rigid transformations.

Geo.2: Congruence