Year 3 from Nyngan PS
What did you have to find out?
What sum you rolled the most.

What materials did you use?
Dice, book and pencil.

How did you think? What strategies did you use? How did you solve this problem?
We had to act out that is roll the dice. Record data on the graph.

What answers did you come up with?
It was more likely to roll some numbers than others because some had more combinations.
That is to get a
2 you could roll 1 + 1
3 you could roll 2+1
4 you could roll 2+2, 3+1
5 you could roll 2+3, 4+1,
6 you could roll 5+1, 3+3, 4+2
7 you could roll 6+1,5+2, 4+3
8 you could roll 4+4, 5+3,6+2,
9 you could roll 5+4, 6+3,
10 you could roll 5+5, 6+4
11 you could roll 6+5,
12 you could roll 6+6
We counted reversals as the same that is 2+3 is the same as 3+2

Garry, Emily & Riley from Barham PS
What did you have to find out?
We had to find out which numbers on a dice added up to give the answer most often.

What materials did you use?
Two different coloured dice, a pencil, a maths book and a graph.

How did you think? What strategies did you use? How did you solve this problem?
We thought of all the combinations for each number from 2 to 12. There were 36 sums.
We rolled the two dice, added them together to get the answer. We coloured in the graph.

What answers did you come up with?
The most common answer for the class was 8. It came up 6 times. The second most common answer was 7. It came up 4 times. The third most common answer was 6. It came up 2 times.

Using two dice we worked out there were 36 sums that could be made eg 1+1, 2+1. 3+1. The answer of 1 can't come up. The answer 2 has 1 out of 36 chances of coming up. The answer of 3 has 2 out of 36. The answer of 4 has 3 chances out of 36 of coming up.

5 has 4/36
6 has 5/36
7 has 6/36
8 has 5/36
9 has 4/36
10 has 3/36
11 has 2/36
12 has 1/36

There was a pattern going 1,2,3,4,5,6,5,4,3,2,1 of the chances.

If you had to bet on it you would choose 7 for the most likely and 2 and 12 are equally likely to loose.