Question A
Option 1: Show that the product of two numbers can sometimes be greater than the quotient and
sometimes less.
Option 2: Choose two numbers to make each statement true:
o quotient < difference < sum < product
o sum < difference < product < quotient
Common Questions
 Suppose you were using 25 and 5. Which is greater- the quotient or the product?
 Is it ever possible for the quotient of two numbers to be greater than the product? When would
that be?
 What two numbers did you choose? Why did you try those?
Question B
Option 1: On a scale diagram, 1 inch represents 4 miles. If two places are 3 ½” apart on the map,
how far apart are the actual places?
Option 2: On a scale diagram, 1 inch represents 7 1/2 miles. If two places are 3 ½” apart on the map,
how far apart are the actual places?
Common questions;
 How far apart are the towns?
 How did you figure it out?
 Why did the scale only have to tell about 1” and not 2” or 3”?
 Which was the easiest part of your calculation?
 Which part was the most difficult?
Question C
Option 1: A whole number is 60% of a whole number n that is less than 10. What could n be?
Option 2: A whole number is 120% of a whole number n that is less than 10. What could n be?
Common questions;
 How did you know that n was not 8?
 Was the percent more or less than n? How did you know?
 Why might it help to think of the percent as a fraction to solve the problem?
 What was n? What was the required percent of it?
Breakout Session Grade 78
Math CAMPPP 2010
Breakout Session Grade 78
Math CAMPPP 2010