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The Hypotenuse of a right triangle is irrational

The Hypotenuse of a right triangle is irrational. 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.

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The Hypotenuse of a right triangle is irrational

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  1. The Hypotenuse of a right triangle is irrational 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. What did you need to do to show that the statement was sometimes true? • 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. Instructions for Always, Sometimes or Never True • 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. The sum of a rationalnumber and an irrationalnumber is irrational. • Always true • Sometimes true • Never true [Default] [MC Any] [MC All]

  5. The circumference of a circle is irrational . • Always true • Sometimes true • Never true [Default] [MC Any] [MC All]

  6. The product of two rational numbers is a rational number. • Always true • Sometimes true • Never true [Default] [MC Any] [MC All]

  7. The sum of two irrationalnumbers is irrational. • Always true • Sometimes true • Never true [Default] [MC Any] [MC All]

  8. The product of two irrationalnumbers is irrational. • Always true • Sometimes true • Never true [Default] [MC Any] [MC All]

  9. With your team discuss your answers to Rational or Irrational worksheet. • HW – Rational or Irrational? (revisited) worksheet. • Be sure to justify all conjectures with examples or non-examples.

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