Question

Cora and Cecilia each use chalk to make their own number patterns on the

sidewalk. They make each of their patterns 10 boxes long and line their patterns

up so they are next to each other.

Cora puts o in her first box and decides that she will add 3 every time to

get to the next number.

Cecilia puts o in her first box and decides that she will add 9 every time to

get the next number.

How many times greater is Cecilia's number in the 5th box than Cora's number in

the 5th box? What about the 8th? What predictions can you make about the

relationship between the values in the rest of the pattern?

Answer 1

5th box has 45 for Cecilia and 15 for Cora

8th box has 72 for Cecilia and 24 for Cora

Cecilia's boxes numbers are 3 times of Cora's boxes numbers.

Explanation:

This can be completed as follows .

0 1 2 3 4 5 6 7 8 9 10

Cora's boxes 0 3 6 9 12 15 18 21 24 27 30

Cecilia's boxes 0 9 18 27 36 45 54 63 72 81 90

The 5th box has 45 for Cecilia and 15 for Cora which means Cecilia's number is 3 times bigger than Cora's number in the 5th box.

The 8th box has 72 for Cecilia and 24 for Cora which means Cecilia's number is 3 times bigger than Cora's number in the 8th box.

As we see that the difference in numbers is of three times from the beginning to the end. Therefore we conclude that Cecilia's boxes numbers are 3 times of Cora's boxes numbers.