The last few lessons we have been looking at division in maths.
Firstly we counted how many students were in our class for the lesson which was 28. We then began the lesson with playing a game similar to musical chairs. We had to walk around the room and when Mrs Baldwin rang the bell she called out a number which was the size of the group we needed to make.
Every time we did this, we had to count the number of groups we made and the remaining people who were not part of the group. We started to record our results on the board.
We then looked at the results and discussed anything we noticed or patterns that were formed.
Our next task was to use 28 counters each, to work out an record the results for all the other group sizes that Mrs Baldwin could have called out. Check out some of our results below.
We noticed the relationship between dividing and multiplying. For example
3 groups of 9 with 1 left over = 28 students and 3×9 = 27 then 27+1 = 28
The final challenge was that last year Mrs Baldwin played this exact game. She remembered that:
- when they made groups of 4 there were 2 children remaining, and
- when they made groups of 5 there was 1 child remaining
However Mrs Baldwin could not remember how many children were in her class. We had to use counters and help find out the number of children played this game in her class.
We worked in groups and quickly some of us discovered one answer straight away. Mrs Baldwin then told us that there could be more than one answer. As each group worked out an answer, they wrote it on the whiteboard and proved it with showing working out. Check out some of our results on the board.
We then used some handy software to check our answers. This was a lot of fun as we counted the groups together and got excited when we found an answer!
Finally we discussed together about whether there was a pattern. Here were our results:
6, 26, 46, 66…
Can you see a pattern?
YES! We noticed that the numbers increased by 20 each time.
We spent nearly a week on this activity and it was a lot of fun working in teams, using counters and the software on the computer to complete the problem solving activity.