Logic Puzzle: Shape Attributes Objectives: 1. To work cooperatively to solve logic puzzles involving various shapes 2. To write a paragraph proof using clear reasoning Assignment: • Logic Puzzle Problem Set Cooperative Norms 1. Be positive and assume others are as well. 2. Be respectful. 3. Be curious and promote a spirit of inquiry. 4. Be present and pay attention to others. 5. Be thoughtful by pausing before speaking. 6. Be productive and share your thinking. Cooperative Roles Leader Leads and mediates group discussion and ensures everyone’s participation Spokesperson Communicates group results to the class and is a liaison between the group and the teacher Runner Retrieves materials for group activities Questioner Questions and critiques the reasoning of group responses; checks the accuracy of group answers Recorder Records group problemsolving responses and answers Timekeeper Keeps time for the group, ensuring tasks are accomplished on time Bag of Shapes Take the shapes out of the bag. What do you notice about them? Logic Clues • Look at the set of clues. Basically you are trying to find a particular shape or pair of shapes that fit these clues. • They can be used in any order. • There are conditional statements (if-then) and statements of fact. How should we start? Logic 2 Use clues in any order: • If it is yellow, then it is a rhombus. • If it is large, then it is not blue. • It is not small. • If it is large, then it is not green or yellow. • If it is not green, it is a rhombus. Procedure • Work together as a cooperative group, where everyone contributes and stays focused, to solve the nine logic puzzles. • Keep in mind: Do not change your mind unless you are logically persuaded. Assignment Every individual will have to turn in: • List of your answers for any five problems (not including #2) • You must do either #8 or #9 • Paragraph proof of ONE problem (1, 3-9) explaining specifically why your answer(s) must be true • All answers submitted through GC Example Proof: Problem 2 Logic problem number 2 refers to a large, red rhombus. The problem clearly states that the shape is not small, therefore all small shapes must be eliminated, leaving only large shapes. Since our shape must be large, according to two of the conditional statements, it cannot be blue, green, or yellow, leaving only red. Finally, since our shape is not green, it must be a rhombus according to the last conditional statement. Therefore, it follows that the shape must be a large, red rhombus. Assignment • You only get this class period to work together as a group • Due next class a quiz grade • You may have to write stuff down. • Plagiarism has consequences. • Shapes and clues can be found online.