Summarize Goldbach's conjecture, making certain to include primary numbers and even numbers greater than two. Summarize the mathematical problem created by a Frenchman that for years offered the largest cash prize. Explain that while this is not a proof it is a yardstick that allows mathematicians to determine whether three specific lines can make a triangle. Now explain that a mathematical proof is an operation that attempts to establish proof or fact. Divide students into small groups and have them list five reasons why mathematicians work to create proofs.
Students share their answers.
Then ask them to create a proof for a triangle. Students share their findings. They may use the blackboard to illustrate their findings. Employing a full class discussion ask students to brainstorm the different steps a mathematician might take to discover a proof for Goldbach's conjecture. List the steps on the board.