Liz,
I have three responses from my consultants for you.
Harley
Hi Liz.
Use the same idea as the "half of 11" but first write 12 another way (using another numbering system).
Stephen La Rocque.>
Liz,
Teacher's answer is probably to use Roman Numerals. But I agree with you! Let's do mathematics in math classes. Save the party games for recess.
Chris
Liz,
Well there are ways but maybe a bit far out for a grade 8 student.
Normally, that is in base ten, when we write 12 we mean 1x10 + 2x1; the first column on the right is the units column and the second column is the tens column. Thus 25 means 2x10 + 5x1, etc.
There is nothing special about base ten, in fact computers use base two. If we were to use base twelve, then, in base twelve, 12 means 1x12 + 2x1 = fourteen and half of fourteen is indeed seven.
I'm sure there are other ways to solve the problem also.
Cheers,
Penny
