RIC-0563 Developing algebraic thinking

SAME SUMS
Teachers notes
If the number of groups is even and the equal sum is odd, then the
number tiles can be separated into groups so that the sums will be
consecutive even numbers.
If the number of groups is even and the equal sum is even, then the
number tiles can be separated into groups so that the sums will be
consecutive odd numbers.
CONSECUTIVE?
Tiles used
Sum of
all digits
Number of
groups
Sum of
each group
Consecutive?
0 – 3
6
2
3
Even: 2 4
0 – 4
10
2
5
Even: 4 6
0 – 5
15
3
5
4 5 6
0 – 6
21
3
7
6 7 8
0 – 7
28
2
14
Odd: 13 15
0 – 7
28
4
7
4 6 8 10
0 – 8
36
2
18
Odd: 17 19
0 – 8
36
4
9
Even: 6 8 10 12
0 – 9
45
3
15
14 15 16
0 – 9
45
5
9
7 8 9 10 11
26 DEVELOPING ALGEBRAIC THINKING www.ricgroup.com.au R.I.C. Publications ®
ISBN 978-1-74126-088-5