Handwritten because I had the idea at night and was too lazy to put the laptop and printer on. 😂😅 [EDIT: You can download a typed version of the worksheet here.]
We used the multilink cubes for this investigation as a nice, simple guided activity.
I gave each girl 10 cubes then used that as the example: how many cubes are there altogether? 20. We can divide 20 fairly into 2 groups, so each person gets 10 each. Half of 20 is 10. So if a number can be halved fairly then it's even. If it can't, then it's odd.
I modelled how to fill in the first line of the table, using 1 as another example. Can you halve 1? Can it be shared fairly between 2? Why not? Show me using the cubes... So they wrote "no" in the first column and ticked the "Odd" column.
I then modelled how to fill in the next line of the table, i.e. Can you halve 2? What is half of 2? Show me using the cubes... So they wrote "Yes, 1" in the first column and ticked the "Even" column.
After watching and prompting them for the next couple of lines, to ensure they knew what to do, I left them to complete the rest of the table themselves using the multilink cubes to help them.
When they were done, we discussed what the pattern was. MashaAllah, one noticed towards the end of filling in the table that the ticks were alternating and the other got the first sentence ("They take turns to be odd and even") by being prompted to read the table out loud. 💕 I then asked them to read just the even numbers out loud. Did they notice anything about those numbers? Yes, it was counting in 2s! So they wrote that sentence too. 👍
Finally, there was another table at the bottom for them to fill in with any other examples of odd and even numbers they could think of. They noticed that even numbers always end (i.e. the units) in the number 2, 4, 6, 8 or 0. After they wrote a few of their own, I challenged them by saying a random number and they had to tell me if it was odd or even. MashaAllah, I ended up going on to 3-digit numbers and they understood it was only the units which were important in deciding if a number was odd or even! One of them didn't want to stop, but unfortunately it was dinnertime so we had to. 😂😂
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