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In this section, students explore properties of triangles. The first three lessons of this section are purposefully paced to allow class time to learn routines and build math community.
First, students make observations about possible side lengths of a triangle and practice communicating their ideas. Next, students write the Triangle Inequality Theorem as a conjecture, an initial step to the...
In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.
In this section students apply the triangle congruence theorems to write more proofs. They consider special quadrilaterals, the diagonals of quadrilaterals, and the triangles formed by those diagonals. Students have the opportunity to engage in all aspects of the proof process: generating conjectures, detailing specific statements to be proved, writing a proof, and critiquing a proof. They also encounter the...
In this section students create conjectures about angle relationships and prove them using what they know about rigid transformations. Students review rigid transformations to support this skill.
The primary work is on proof-writing skills. In order to focus on justification, many proofs are for ideas students were first introduced to in previous grades, such as supplementary, complementary, vertical, and adjacent...