Hi Sarah.
Hi Holly.
So this time I'm going to...
You're gonna guess which number I've got. Sounds like fun. What's this game called again?
Guess my number! OK, alright, so maybe I'll close my eyes where you choose and you can show everybody who's watching the number that you chose. Yeah.
So which number should I choose? alright..
I chose....
Are you showing everybody at home?
oh, don't peek. I'm not peeking. Alright, you can go now.
OK.
What is my number?
Is it 3?
Higher. It is higher than 3. So can it be 1 or 2?
No it can't be Holly, so I'm going to take away one.
It can't be 3 either. You're right because you said it was higher than 3. OK, so I only get three guesses. Is that
right? OK, so I've used up one guess alright. OK. Is the number 7. No. Lower. Oh, it's lower than 7.
It can't be 8 and it can't be 7. OK, so it's 4, 5 and 6.
Alright, I've got one more guess.
OK. Is 4?
Yay. Thanks Holly, thanks for playing with me. I wonder if some other people would like to play this game and maybe they
could even do numbers larger than eight. What if it was one to 20? I wonder how hard that would be.
Alright signing out mathematicians.
You will need:
Reflection
Share your work with your class on your digital platform.
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Here is part of a conversation to help illustrate what the game can sound like. This was a game between a teacher and a student, using the number range 1-12.
Secret holder: Ok, make your first guess!
Student: 3.
Secret holder: My number is not 3. But my number is greater than 3. Are there any numbers you can cross off your list?
Student: It’s not 3 so I can cross that off.
Student: It’s not 2 or 1 either as they are less than 3.
Secret holder: That’s great reasoning- because my number is greater than 3, but those numbers are less than 3, they can be crossed off. What is your next guess?
Student: 7.
Secret holder: My number is not 7, but my number is less than 7. Can you cross any more numbers off the list?
Student: Yes! 7...8, 9, 10, 11 and 12!
Secret holder: What are the options you have left?
Student: 4, 5 or 6!
Secret holder: Take some time to think about what a good number would be to guess now.
Student: Maybe 5?
Secret holder: Why do you think that?
Student: If I choose 5...it’s in the middle. So, I will know the answer whatever happens with bigger and smaller. And it could just be 5!