Sheep Talk

In sheep talk the only letters used are B and A.

Sequences of words are formed as follows:

The first word only contains the single letter A.

To get the next word in the sequence change each A in the previous word into B and each B in the previous word into AB.

The first 3 words are A    B     AB.

Write down the first seven words in this sequence.

The first 3 words are A    B     AB.

Count the number of A’s in each word in the sequence. Then count the number of B’s in each word in the sequence. Finally count the number of letters in each word in the sequence. Fill your results in the box below.

You now have three sequences of numbers.

What do you notice?

Will the same patterns continue if you make longer sequences of words? Explain your answer.

Click here for the SHEEP TALK worksheet

Click here for the SHEEP TALK Notes for Teachers