PR-0563IRE Developing Algebraic Thinking
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
SAME SUMS<br />
Teachers notes<br />
If the number of groups is even and the equal sum is odd, then the<br />
number tiles can be separated into groups so that the sums will be<br />
consecutive even numbers.<br />
If the number of groups is even and the equal sum is even, then the<br />
number tiles can be separated into groups so that the sums will be<br />
consecutive odd numbers.<br />
CONSECUTIVE?<br />
Tiles used<br />
0 – 3<br />
0 – 4<br />
0 – 5<br />
0 – 6<br />
0 – 7<br />
0 – 7<br />
0 – 8<br />
0 – 8<br />
0 – 9<br />
0 – 9<br />
Sum of<br />
all digits<br />
6<br />
10<br />
15<br />
21<br />
28<br />
28<br />
36<br />
36<br />
45<br />
45<br />
Number of<br />
groups<br />
2<br />
2<br />
3<br />
3<br />
2<br />
4<br />
2<br />
4<br />
3<br />
5<br />
Sum of<br />
each group<br />
3<br />
Viewing Sample<br />
5<br />
5<br />
7<br />
14<br />
7<br />
18<br />
9<br />
15<br />
9<br />
Even: 2 4<br />
Even: 4 6<br />
4 5 6<br />
6 7 8<br />
Consecutive?<br />
Odd: 13 15<br />
Even: 4 6 8 10<br />
Odd: 17 19<br />
Even: 6 8 10 12<br />
14 15 16<br />
7 8 9 10 11<br />
26 DEVELOPING ALGEBRAIC THINKING www.prim-ed.com Prim–Ed Publishing