Geometric Proof Lesson Plans

Students explore geometric proofs. In this math lesson, students prove the solution to an equation while using algebraic properties. Students write their own statements to be proven.

Students practice writing formal two column geometric proofs involving congruent triangles and congruent corresponding parts.

Tenth graders explore different topics in algebra and trigonometry. In this math lesson, 10th graders solve and simplify monomial and binomial operations. They calculate the interior and exterior angles of different polygons.

Young scholars examine Triangle Congruency. In this measurement comparison activity, students use inductive, deductive and analytical thinking skills to prove triangle congruency. Young scholars analyze and record their findings on activity worksheets.

Eleventh graders explore trigonometric identities.   In this Algebra II lesson, 11th graders use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs of the identities. 

Students explore the locus of midpoint of the hypotenuse of a fixed length geometrically and discover that the median of a right triangle is equal to half the length of the hypotenuse. In this right triangle lesson, students describe and draw a diagram of this problem. Students also state an argument for the solution to the problem.

Tenth graders explore triangle congruence.  In this geometry activity, 10th graders solve situational problems using their prior knowledge regarding triangle congruence.  Additionally, students explore and conjecture regarding properties of perpendicular and angle bisectors.  TI-nspire handheld and application required.

Students investigate the relationship between angles and their sides. In this geometry lesson plan, students prove why SSA does not work as a true angle side relationship theorem.

Tenth graders investigate the Pythagorean Theorem.  In this geometry instructional activity, 10th graders explore the proof of the Pythagorean Theorem by using area and by dissection.  Students apply what they have learned about the Pythagorean Theorem.  TI-nspire handheld and appropriate software are necessary.

Young scholars investigate the Apollonius circle. In this Algebra II/Pre-calculus lesson, students explore the locus of a point that is located twice as far form a given Point A as it is from given Point B. Young scholars visualize and draw a diagram of the situation, investigate with TI-Nspire technology, and conjecture as to the solution.