Proof by Contradiction Teacher Resources

Find Proof by Contradiction lesson plans and worksheets
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The Converse of the Pythagorean Theorem

For Teachers 8th Standards
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson plan that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with...
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Making Sense of Irrational Numbers

For Students 7th - 12th
Non-terminating. Non-recurring decimal. Irrational numbers. Proof by Contradiction? Root 2, 3, 5, 6, 7, 8. Don't be afraid to explore the impossible and check out this short video that offers a rational explanation of irrational numbers.
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Who Dun It?

For Students 9th - 12th
In this proofs by contradiction worksheet, students solve 1 word problem about a crime.  Students use proof by contradiction to determine the criminal in the word problem.
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Three for the Money: The Degree/Diameter Problem

For Teachers 9th - Higher Ed
Learners explore the concept of vertex-edge graphs.  In this vertex-edge graphs instructional activity, students try to construct a graph with a given diameter, number of vertices, size, and planarity.  Learners construct various...
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Applying the Pythagorean Theorem in a Mathematical Context

For Teachers 7th - 9th Standards
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...
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Unsolvable and Undecidable Problems

For Teachers 9th - 12th
Try as you might, some functions just cannot be computed. The lab introduces the class to the possibility of unsolvable problems. The fourth lesson in a series of seven begins with a logic problem, then progresses to looking at functions...
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The Truth About Triangles And Proofs

For Teachers 9th - 12th
Learners engage in a instructional activity 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...
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Babylonian Mathematics 2

For Teachers 9th - 12th
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.

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Proof by Contradiction