Mathematical+Reflections,+p.+51

   23/2/09 NC

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.  __Mathematical Reflections__

1. **Give three examples of rates.** three buses can carry 60 people. Each person who comes to the picnic will have to bring 2 loaves of bread. Two Imac's cost 4$. It tells you the price of many things when you only know the price of one.It tells you how much petrol you will need to drive so far. you divide both variables so that one of the variables is 1. eg. if three buses can carry 60 people = one bus can carry 20 people. you can use a unit rate to predict a pattern in a table or graph. eg. if one bus can carry 20 people, then ten buses can carry 200 people. Give the first variable a letter, and then give the second variable a letter multiplied by the corresponding number. eg. B=20P, 2B=40P
 * 2. How can rates or unit rates help you to make comparisons.**
 * 3.** **how do you convert a rate to a unit rate? Illustrate your answer with one of the examples you gave in part 1.**
 * 4. How can information about unit rates be used to make tables and graphs showing how two variables are related? use your example to illustrate your answer.**
 * 5. How can a unit rate be used to write an equation relating two variables? use your example to illustrate your answer.**