Logic Puzzle Project

The project is a major grade and is divided into two parts: (1) the creation of a logic puzzle, and (2) the solution of a four teacher written puzzles. The puzzle and form are due at the beginning of class on ______.

Part I – Creation of the Logic Puzzle

1) Write a sequence of six linked if-then sentences in the first section of the form provided. 2) In the second section of the form provided, disguise the sentences by rewriting them in equivalent forms. Use variety so that no two sentences are of the same type. There should be no sentences that use the word “if” to introduce the hypothesis. One sentence must be a contrapositive. One sentence must have the hypothesis at the end of the sentence. For example, one sentence could start with “no,” one with “all,” and others could have a synonym for “if” or for “then.” 3) In the third section of the form provided, rearrange the disguised sentences to make a puzzle. (This is basically the answer key to your puzzle) 4) Prepare the display puzzle by using 8.5” by 11” paper (this is the size of typical computer paper). Give your puzzle a title. Your name, your teacher’s name, and your class period should be written on the back of this puzzle. The theorem should NOT be stated on either side of the display puzzle. Decorate your puzzle appropriately – you may mount it on contrasting paper but the final display should be 8.5” by 11” (construction paper is usually 9” by 12” so you will need to trim it). 5) Turn in the rubric (with your name filled in), the form provided (with the three sections completed), and your display puzzle.

Part II – Solution/Evaluation Part

In class, you will be given four teacher-written puzzles to evaluate.

Part III – Final Project Grade

Your final grade will be determined by combining your evaluation of each teacher written puzzle which are worth up to 10 points each, and your own puzzle which is worth up to 60 points. Name______Geometry Date______Period______Logic Puzzle Rubric

Original Puzzle + Solving Teacher Puzzles = Project Grade

______+ ______= ______(60 points) + (40 points) (possible 100 points) Original Puzzle Accuracy (Linking/translation) (possible 30 points) ______

Variety of Statements (possible 25 points)______

Creativity (possible 5 points)______Display of puzzle (correct size, neatness, pictures, etc.)

Structure Title (lose 1 point)______Heading (name, teacher’s name, period#, on back) (lose 1 point for each)______Spelling errors (lose 1 point for each error)______Exactly 6 sentences (lose 2 points for each extra and 10 points for each missing sentence)______Sentences are scrambled (lose 5 points for every two already in order)______

Evaluation of Teacher’s Puzzles (total points lost cannot be more than 40)

Each of the four teacher puzzles is worth 10 points if solved correctly ______Geometry Name______Logic Puzzle Project Date______Period______

I. Original If-Then Sentences Write your sequence of six linked if-then sentences below. State the theorem on the line provided. 1.______2.______3.______4.______5.______6.______Theorem:______

II. Disguise Your Sentences Disguise the sentences by rewriting them in equivalent forms. Use variety so that no two sentences are of the same type. One sentence must be a contrapositive. One sentence must have the hypothesis at the end of the sentence. There should not be any sentences beginning with if. 1.______2.______3.______4.______5.______6.______

III. “Scrambled” Sentences Copy your disguised sentences above but put them in a different order. No sentence should end up in the same position that it started nor should any sentences be in sequence. In the space to the left, write the number where the sentence should appear when sequenced correctly. If you have a contrapositive, write a C by the number. ______

These six sentences are now ready to put on your decorated puzzle. If you have followed directions, the numbers in the list you wrote in part III are the solution to your puzzle.