# Year 3 Addition and Subtraction – Roll the dice

Objective: Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

When you roll two dice and add the total it gives an answer between 2 and 12. You can only make the number 2 in one way – when both dice show a 1.

The same can be said with a total of 3 where one die shows a 1 and the other shows a 2. However, the total of 4 can be made in more ways… 1 and 3, 2 and 2.

Using two dice, which total can be made in the most number of ways?

Would this answer change if you used three dice? Explain your thoughts before investigating…

2= 1+1

3= 1+2

4= 1+3, 2+2

5= 1+4, 2+3

6= 1+5, 2+4, 3+3

7= 1+6, 2+5, 3+4

8= 2+6, 3+5, 4+4

9= 3+6, 4+5

10= 6+4, 5+5

11= 5+6

12= 6+6

Three dice

3= 1+1+1

4= 1+1+2

5= 1+1+3, 1+2+2

6= 1+1+4, 1+2+3, 2+2+2

7= 1+1+5. 1+2+4. 2+2+3. 1+3+3,

8= 1+1+6, 1+2+5, 2+2+4, 1+3+4, 2+3+3

9= 1+2+6, 2+2+5, 1+3+5, 2+3+4, 1+4+4. 3+3+3.

10= 1+3+6, 2+2+6, 2+3+5, 1+4+5, 2+4+4, 3+3+4, 4+4+2.

11= 1+4+6, 2+3+6, 2+4+5. 3+3+5, 4+3+4, 5+5+1

12= 1+5+6, 2+4+6, 3+3+6, 3+4+5, 4+4+4