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Geometry

(13 Units, 101 Lessons)

Unit 7 - Discovering and Proving Triangle Properties(10 Lessons)

The Language and Properties of Proof

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:In groups, students will define and show examples of properties of equality. By sharing these out with the whole class, students will gain a concrete idea for how to use this language to support their writing proofs.

8 Resources

5 Favorites

8 Resources

5 Favorites

Triangle Sum Theorem and Special Triangles

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:By investigating the angles of four different types of triangles, students conjecture about the interior angle sum of triangles and ultimately prove the triangle sum theorem.

22 Resources

10 Favorites

22 Resources

10 Favorites

Triangle Inequality and Side-Angle Relationships

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:Through group and whole-class discussion, students will justify their reasoning with the goal of convincing others when debating the triangle inequality.

20 Resources

4 Favorites

20 Resources

4 Favorites

Discovering Triangle Congruence Shortcuts

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:Through construction, students will work in pairs to test "shortcuts" to use when proving triangles congruent.

14 Resources

21 Favorites

14 Resources

21 Favorites

Proofs with Triangle Congruence Shortcuts

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:In stations, students can choose to work individually or with a partner to prove properties of special triangles and parallelograms using triangle congruence shortcuts.

22 Resources

5 Favorites

22 Resources

5 Favorites

Triangle Congruence and CPCTC Practice

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:Through a kinesthetic menu activity, students will be able to use congruent triangles to write proofs about special triangles and quadrilaterals.

11 Resources

17 Favorites

11 Resources

17 Favorites

Proving Isosceles Triangle Conjectures

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:Through a group investigation, students will discover the angle bisector of the vertex angle of an isosceles triangle is also an altitude and median.

17 Resources

5 Favorites

17 Resources

5 Favorites

Group Assessment: Triangle Congruence and Proof

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:By analyzing other students' work, students will gain an understanding of the features of high-quality proofs while developing habits of mind.

11 Resources

11 Favorites

11 Resources

11 Favorites

Triangle Properties, Triangle Congruence, and Proof Review

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:Students will use the feedback from their group assessment to improve their proof writing and to critique their peers' reasoning.

14 Resources

2 Favorites

14 Resources

2 Favorites

Discovering and Proving Triangle Properties Unit Assessment

Geometry

» Unit:

Discovering and Proving Triangle Properties

Big Idea:In this unit assessment, students will demonstrate their understanding of triangle congruence and proof in a series of multiple choice, open-ended, and proof-based questions.

5 Resources

3 Favorites

5 Resources

3 Favorites