EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Find a great variety of ways of asking questions which make 8.
If you had any number of ordinary dice, what are the possible ways
of making their totals 6? What would the product of the dice be
If you are a teacher click here for a version of the problem suitable for classroom use, together with supporting materials. Otherwise, read on ...
On my calculator I divided one whole number by another whole number and got the answer $3.125$.
I know that both numbers were less than $50$, but can't remember what they were.
Can you work out what they were?
Once you've had a chance to think about it, click below to see how four different pupils began working on the task.
Here is Gemma and Flo's work:
Richard wrote the following:
"I multiplied $3.125$ by $1$, then I tried multiplying $3.125$ by $2$, then I multiplied $3.125$ by $3$ ..."
Here is the start of Thomas' work:
Can you take each of these starting ideas and develop it into a solution?
Click here for a poster of this problem.
Allow pairs to work on the task so that you feel they have made some progress, but do not worry if they have not completed it or if they report being stuck. The aim at this stage is for everyone to 'get into' the problem and work hard on trying to solve it, but not necessarily to achieve a final solution.
At a suitable time, hand out this (doc pdf) to pairs. Suggest to the class that when they've finished or can't
make any further progress, they should look at the sheet showing three approaches used by children working on this task. Pose the question, "What might each do next? Can you take each of their starting ideas and develop them into a solution?". You may like pairs to record their work on large sheets of paper, which might be more easily shared with the rest of the class in the