1. Can you find an example of a right triangle where this is ALWAYS, SOMETIMES, or NEVER TRUE? Work with you partner on your whiteboard to see if you can come up with an example for each. HINT: Given 2 legs of a right triangle use Pythagorean theorem to find the hypotenuse.

2.  To justify your answers to the statements following you must first try out examples of different numbers until you form a conjecture (decide on what you think is correct) of always, sometimes, or never true.  Once you have decided, write your examples, your conjecture, and your reason for your conjecture on your white board.  Click in your team’s response in your clickers.

3. P-3 1.Read the statement Try out different numbers. Write your examples on your own paper. 2. Conjecture: decide whether you think each statement is always, sometimes or never true. Always true: explain why on your paper. Sometimes true: write an example for which it is true and an example for which it is false. Never true: explain why on your paper.

4. A. Always true B. Sometimes true C. Never true [Default] [MC Any] [MC All]

5. A. Always true B. Sometimes true C. Never true [Default] [MC Any] [MC All]

6. A. Always true B. Sometimes true C. Never true [Default] [MC Any] [MC All]

7. A. Always true B. Sometimes true C. Never true [Default] [MC Any] [MC All]

8. A. Always true B. Sometimes true C. Never true [Default] [MC Any] [MC All]

9.  HW – Rational or Irrational? (revisited) worksheet.  Be sure to justify all conjectures with examples or non-examples.