SammyFA

**Extended response questions:**  1. How can you tell if two fractions are equivalent? One way you can tell that two fractions are equivalent is to divide. For example: If you have a number like 2/6 you can divide the top number and the bottom by 2. So 2/6 divided by 2 equals 1/3. Another way that you can tell if two fractions are equivalent is multiplication. 1/3 times 2 equals 2/6. Those are two ways to find two equivalent fraction. 2. When is a fraction in simplest form? The simplest form for a fraction is the last number that it can be made into. For example: If you have 2/4 as a fraction you ca make it smaller and turn it into 1/2. 1/2 is the simplest form because you can't make any smaller. Some other simplest fractions are 1/3, 1/4, 1/5, ext. 3. Why do you need to find a common denominator before adding or subtracting fractions? can tell that two fractions are You need to find the common denominator when adding or subtracting because if you add or subtract without finding the common denominator you will probably get the answer wrong. Also if you don't you won't be able to add the because you can't add denominators. 4. 1/2-->1/4 : 1/4-->1/8 AND 1/3-->1/6 : 1/6--> _ Why did you put that answer? What is the relationship between these pairs of fractions? 1/12. I put this answer because if you add 6+6 it equals 12 and I saw the pattern going on for all of the other numbers 5. Crozet Elementary teachers want students to only use #2 pencils or #2 mechanical pencils. To make that happen, the school will now provide all pencils, but we need to figure out what fraction of each kind the school should keep on hand. Several facts are known: 1. Mechanical pencils last twice as long as regular ones. 2. Mechanical pencils may only be used in grades 3, 4, and 5. 3. Mechanical pencils may not be used on bubble tests. 4. There are about the same number of students in grades K-2 as there are in grades 3-5. Using the information provided, what fraction of the total number of pencils should be mechanical pencils? Explain your decision in detail, using the facts. I think that there are 300 kids in grades 3-5 so there are going to be 300 pencils used for those grades. I think that the amount that is kept on hand should be 600 becuase if a kid where to break one they could get another one. But if there were to be a test only give them one mechanical pencil.