Bellwork: About 80% of the egg rolls sold in the U. S Bellwork: About 80% of the egg rolls sold in the U.S. grocery stores are made in Houston, Texas. A skilled wrapper can make 4,000 egg rolls in an 8-hour day. Bettie said this is about one egg roll a minute. Is her claim reasonable? Explain. 

What is a more reasonable claim?  

As you guys know by now the answer "I Don't Know" does not go over very well. In math, you often need to construct a viable, or practical, argument or examine the reasoning of others. When you use rules, definitions, or properties, you are using deductive reasoning. When you use examples or patterns, you are using inductive reasoning. 

1. Below are some of the properties of math 1. Below are some of the properties of math. Complete each of the examples.  Commutative Property of Addition : 5+8=???+5  Commutative Property of Multiplication: 5 x 8 = 8 x ???  Associative Property of Addition: 6+(4+3)=(???+4)+3  Associative Property of Multiplication 6 x (4 x 3)=(6 x 4) x ???  Identity Property of Addition: 9+0=???  Identity Property of Multiplication 9 x 1 = ??? 

2. Complete each step to construct an argument for how you can find 3 2. Complete each step to construct an argument for how you can find 3.5+1.7+1.5 mentally.  Step:                              Property  3.5+1.7+1.5=1.7+3.5+1.5                 Which Property is this?  3.5+1.7+1.5=1.7+(3.5+1.5)               Which Property is this?  3.5+1.7+1.5=1.7+???                         Add Mentally  3.5+1.7+1.5=???                                 Add Mentally 

3. Not all products labeled cheese are all cheese 3. Not all products labeled cheese are all cheese! A cheese product is less than half actual cheese. Cheese food is more than half, but less than all cheese. Arturo said a 1 pound block that contained 9 ounces of cheese should be called a cheese food. Is his claim reasonable? Explain. 

4. A department store advertised that every $25 you spend at the store, you get $2 off your total bill. Nathaniel's bill came to $154 before the discount. He figured he would get a $12 discount. Is his claim reasonable? Explain. 

5. The original cost of the computer that Jackson wants to buy is $630 in two different stores. One of the stores is having a sale where computers are discounted by 25%. The other store is offering a $185 discount on the same computer. Jackson thinks that store #1 is giving him the better deal, because 25% of $630 is more than $185. Is his claim reasonable? Explain.

Your family, friends, and teachers may call you by different names Your family, friends, and teachers may call you by different names. You might be Susanna, Suzie, Sue, or Miss Wilson. All of these names still represent you. In math, we also use different ways to model the same idea. We can model situations using words, graphs, tables, numbers, symbols, or diagrams. 

1. How can you model the number 0.25 using words?  2. How can you model the number 0.25 using a fraction?  3. Suppose you and your friends ordered four pizzas. Together, a total of 3 pizzas were eaten. Model the fraction as a bar diagram, with numbers, and with words.  4. Draw a fraction circle to show the relationship between the amount of pizza you and your friends ate and the total amount of pizza ordered. Explain why the fraction circle is a good model. 

5. You are downloading MP3 singles onto your computer 5. You are downloading MP3 singles onto your computer. The singles cost $0.99 each. Construct a table to show the cost of 1,2,3,4 and 5 singles then graph the ordered pairs on a coordinate plane.

6. Luna's family is driving along the highway 6. Luna's family is driving along the highway. After 1 hour they drive 68 miles. After 2 hours they drive 136 miles. After 3 hours they drive 204 miles. After 4 hours they drive 272 miles. After 5 hours they drive 340 miles. What would the total distance traveled after 7 hours be? Describe the relationship between time and distance traveled. 

7. A rectangular soccer field is 120 meters long and 80 meters wide 7. A rectangular soccer field is 120 meters long and 80 meters wide. Create and draw a scale model of the soccer field. State the scale you used and label the dimensions of each side of your model. Show or explain how you determined the length of each side of your model.