The Proof of the Century!

This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...

Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.

Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and the...

Take a walk through time, 1852 to 1994, following the mathematical history and development of the Four-Color Theorem. Learners take on the role of cartographers to study an imaginary world of countries that need to be mapped. One rule:...

Go back to where it all began! Investigate how axiomatic systems and Euclidean geometry are based on undefined terms, common notions, postulates, and propositions by examining passages from Euclid's Elements. (Social studies teachers...

Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...

Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...

Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be colored. One rule: no...

Students explore what a proof is, how and why mathematicians create them and compose essays on how reason and logic are employed in the workplace. They explore whether any three lines can make a triangle and attempt to verify Goldbach's...

As a cross-curricular lesson, your class examines the issues of gender discrimination, careers, and gender roles. They read and discuss an article, prepare a proof of the Pythagorean theorem as a class, and develop a creative...