Geometric Proof Teacher Resources
Find Geometric Proof educational ideas and activities
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A Geometric Proof
In this geometry worksheet, students take the derivative of functions. They prove theorems using geometric proofs. There are 13 questions.
Proving Supplementary and Complementary
Students examine their prior knowledge of algebra to explore geometric proof. In this proving supplementary and complementary lesson, students prove a solution to an equation using algebraic properties. Students then write their own statements to prove their logic. Students then complete a series of geometric proof problems.
The Truth About Triangles And Proofs
Students engage in a lesson that is about the classification of triangles and the mathematical proofs involved in working with them. They work on a variety of problems that are created by the teacher with the focus upon the importance of classifying the triangles.
Proving Supplementary and Complementary
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.
Tenth graders complete a unit of lessons on congruent triangles and triangle proofs. They observe and participate in teacher-led discussions of examples of the methods to prove that triangles are congruent, and create an original proof.
Learners practice writing formal two column geometric proofs involving congruent triangles and congruent corresponding parts.
Angles Formed by Chords
Tenth graders investigate angles and arcs in circles. In this geometry activity, 10th graders explore the relationship between the intersecting chords of a circle and the intercepted arcs. The activity makes use of a dynamic geometry utility and includes several problems that apply the theorem and a 2-column formal proof of the theorem.
Pythagorean Theorem Triples
Students research the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students use the Internet to learn about the Pythagorean Theorem. Students construct proofs of the Pythagorean Theorem.
Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They follow the example of a geometric proof to write their calculus proof.
Students complete simple algebraic proofs to prepare them for more challenging geometric proofs. Class begins with a demonstration by the teacher, then students work out their own problems and share results with the class.
Two Column Geometric Proof
In this geometry worksheet, 10th graders supply the missing step or justification of a step in two column geometric proof. The one page interactive worksheet contains five multiple choice questions and is self checking.
For this geometric proof worksheet, students use geometric theorems and rules to prove given statements. They prove that given lines and angles are similar. This five-page worksheet contains ten problems.
In this geometric proofs activity, students prove supplementary, complimentary, and congruent angles from given models and information. This four-page activity contains six multi-step problems.
Theorems of Triangles
Show your school spirit while proving theorems about triangles! Your student geometers are charged with coming up with a new design for the school pennant, following specific guidelines. Along the way, they need to prove the theorem that base angles of an isosceles triangle are congruent. Not only is this a learning activity, if you allow time to decorate the pennants, you'll end up with great room or hall decorations.
Proofs of the Pythagorean Theorem
Working individually and collaboratively, geometers gain a clear understanding of the Pythagorean theorem. They create, explain, and compare proofs of the theorem. Proofs involve areas of trapezoids, squares, and triangles, congruent triangles, and similar triangles.
Proof of Identity
Learners explore trigonometric identities. In this Algebra II lesson, students use graphing to verify the reciprocal identities. Using Cabri Jr, learners investigate the Pythagorean trigonometric identities and the geometric c proofs of the identities.
Mathematics Lesson for Grade 10
There are four main topics in this bundle of lesson plans. They don't need to be taught sequentially. Each lesson has three parts: a starter, a main activity, and something to help consolidate and provide reflection on concepts learned.
The Ladder Revisted
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.
Using Triangle Congruence Theorems-ID: 9692
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.
Why Doesn't SSA Work?
Students investigate the relationship between angles and their sides. For this geometry lesson, students prove why SSA does not work as a true angle side relationship theorem.