Mathematical+Reflections,+p.+51+0910

A.B 9.12.09 Block B

 The Big Idea  Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them. __ Essential Question: __ __// What methods are there for comparing things? //__ Pg. 51 **__ Mathematical Reflections- 4 __** 1. **Give three examples of rates.** Three examples of rates are beads/cent, miles/hour, and cents/bead

To convert a rate to a unit rate we have the divide the two variables.
 * 2. How can rates or unit rates help you to make comparisons?**
 * Rates/unit rates help you to make comparisons when you know only about one variable. It helps us found out about the other one and how long/fast/etc, it could take us. **
 * 3.** **How do you convert a rate to a unit rate?**

We can use a unit rate to write an equation relating two variables by multiplying them. Then we know that if we can multiply the two numbers to predict something, we can multiply more numbers to find out the rest. ** Summary ** A unit rate is a rate in which the second number is 1, or 1 of a quantity. Some common unit rates are miles per hour, money earned per week, etc. A unit rate helps us to make comparisons. Unit rates can be displayed on graphs, and tables. We can write equations using unit rates. A unit rate tells us how many things we can buy per dollar, or how many dollars we have to pay to buy something. It can also tell us how fast we can go, and how long it could take. It can compare many other variables. If you have a multiple unit rate and want to find the single unit rate write a ratio equal to the multiple unit rate with 1 as the second term. Unit rates are used by people all over the world, almost everyday.
 * 4. How can information about unit rates be used to make tables and graphs showing how two variables are related?**
 * Information about unit rates can be used to make tables and graphs because you can use it to predict prices/speed/etc (patterns). **
 * 5. How can a unit rate be used to write an equation relating two variables? Use your example to illustrate your answer.**