## The Big ChallengeSo far you have found three (3) ways to make the steps.Do they all have the same total for each line? - Open this Steps Starter. You can read it on screen or print it.
- You have already done the first part of the Starter.
Your challenge now is to try Question 2. - Keep good notes in your journal because it might take you a few days to find the four line totals.
Note: If your school is a member of Maths300, your teacher can provide software that will help you explore Steps.## Digging DeeperAt this point a mathematician would ask:*How many different solutions are there?**How will I know when I have found them all?*
- Which strategy do you think your mathematician might choose to try to find more solutions?
*What do I know about this problem already?**What do I know about the numbers from 1 to 9 that might help?*
Have you noticed something about the corner numbers?So, your challenge now, if you choose to accept it, is to find all twelve (12) unique solutions. - Are your solutions unique so far, or are some variations of others?
- There are 12 unique solutions, but each one is part of a family with 8 variations, so there are actually ninety-six (96) sets of steps that work.
## Just Before You FinishRead your Working Like A Mathematician page again and identify the things you did in this activity that prove you worked like a mathematician.
## Answers & Discussion
Send any comments or photos about this activity and we can start a gallery here.
Maths At Home is a division of Mathematics Centre |