LFP+Mathematical+Reflections,+p+61+0910

SM 11/17/09 Math 8 F Mathematical Reflections 5 Big Idea The dimensions of a right triangle can be determined with limited information. Essential Question - What is “irrational” about Irrational Numbers? A decimal can be converted into a fraction if it is a repeating or terminating decimal.
 * 1.  **** How can you determine whether a give decimal can be written as a fraction? **

Three examples of a terminating decimal are 1/4, 1/2, and 3/100.
 * 2.  **** Give three examples of fractions whose decimal representation terminate. **

Three examples of a repeating decimal are 1/3, 2/3, and 2/9.
 * 3.  **** Give three examples of a fraction whose decimal representation repeat. **

Three examples of irrational numbers greater than 5 are √26, √1000, and √32
 * 4.  **** Give three examples of irrational numbers greater than 5. **


 * 5.  ** ** A. On dot paper, draw a square with the side lengths √10. What is the area of the square?  **

**B. Find a fraction close but less than √10. How can you tell that your fraction is less than √10?** 3 and 1/100, I found out by using the Wheel of Theodorus by measuring the Hypotenuse which was √10, it measured between 3.1 and 3.2. ** C. Find a fraction close but greater than √10. How can you tell that your fraction is greater than √10?** 3 and 2/100, same explanation as part b.
 * Summary: **In this inv, we learnt how to convert decimal into fractions or vice versa.