RIC-0563 Developing algebraic thinking

ALPHABET ALGEBRA
Teachers notes
Alphabet a f
a + b + c + d + e = a + f + g + h + c = h + i + j
algebra R g
b + d + e = f + g + h a + f + g + c = i + j
b
c h
d i
e j 1 5
0 2
4 7
6 9
8 3
2
9
4
3
1
0 7
6 8
5
Alphabet b a
a + b = b + c + d = d + e = e + f + g = g + h
algebra S cd
a = c + d b + c = e
d = f + g
e + f = h
h
e
f
g
2 9
5
4 7
1
8 3
5 8
1
7 6
3
9 4
Alphabet
algebra T
a b c d e
f
g
h
a + b + c + d + e = c + f + g + h
a + b + d + e = f + g + h
Each time this equation is solved, three different
solutions are created. There are two tiles
remaining which can be interchanged for c.
8 2 9 4 0
7
6
1
8 1 9 4 2
3
7
5
The 9 could be replaced by 3 or 5.
(The 9 could be replaced by 0 or 6.)
Alphabet a i
a + b + c + d = d + e + f = f + g + h + i
algebra U b h
a + b + c = e + f d + e = g + h + i
c g
The sum of the tiles ranges from 7 to 16.
d e f
7 6 4 5 7 8
4 5 2 8 3 2
1 0 1 3 0 1
8 3 9 9 7 0 5 6 4
106 DEVELOPING ALGEBRAIC THINKING www.ricgroup.com.au R.I.C. Publications ®
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