Exploring Numerical Relationships

Marbles

Work Time

Marbles

  • For which collection(s) of marbles could you determine the number of marbles in the collection by measuring the weight of the collection?
  • For the collection(s) of marbles you identified, the total weight of the marble collection is given. What other information would you need to determine the number of marbles in the collection if you couldn't count the marbles?

Challenge Problem

  • For which group(s) of rectangles is the ratio of the length to the width constant?
  • Given the ratio, what is the least amount of information you would need to know to find the area of one of the rectangles? Explain.

Hint:

What would you need to know about one marble to determine how many marbles there are?