Tremendous Triangles Projects

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Objective

Students will show their knowledge of congruent triangles by creating a video of their own congruent proof and/or completing a jigsaw activity that reviews SSS, SAS, ASA, AAS and HL.

Big Idea

It's students' time to shine! Students develop their own problem and then shoot a video to explain how to prove their triangles congruent.

Lesson Author

Stephanie Conklin

Saratoga Springs, NY

Grade Level

Tenth grade

Subjects

Math

Geometry

Standards

HSG-CO.B.7

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

HSG-CO.B.8

Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

HSG-CO.C.10

Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

HSG-CO.D.13

Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

MP1

Make sense of problems and persevere in solving them.

MP3

Construct viable arguments and critique the reasoning of others.

MP6

Attend to precision.

Triangle Proof Video Project

40 minutes

Jigsaw

40 minutes

Student Exemplars

5 minutes

Overall Project Reflection

Reflection #3 on Triangle Proof Project.wmv

Here are two examples of students' work for this project.

The video below highlights what I considered to be a perfect project with strong explanations for the content, proving two triangles congruent, and also a clear explanation of strategies and tips for solving.

The second video has a mathematical error but is also very creative, and funny. These students were asked to re-write their triangle proof to earn credit back.

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