RIC-0563 Developing algebraic thinking

ALPHABET ALGEBRA
Teachers notes
Alphabet
algebra V
a + b + c + d = d + e + f + g
a + b + c = e + f + g
Each time this equation is solved, four different
solutions are created. There are three tiles
remaining which can be interchanged for d.
The 7 could be replaced with 5, 8 or 9.
Alphabet a i a + b + c = c + d + e = e + f + g = g + h + i
algebra W
e
a + b = d + e c + d = f + g e + f = h + i
b h
d f
6 9 4 0
c g
8
7
7
5 4 3 8
5 2 9
0 1 3 6
Alphabet
algebra Y
a
b
c
d
e
g
f
6
0
2
7
1
d g
a + b + c = d + e + a = a + f + g
e f
b + c = d + e = f + g
a
b
Each time this set of equations is solved, four
c
different solutions are created.
2
5 0
3
6
1
4
The 6-tile could be replaced by 7, 8 or 9.
a b c d
Alphabet e
a + b + c + d = d + e + f + g = g + h + i + j
algebra Z f
a + b + c = e + f + g d + e + f = h + i + j
g h i j
2 9 3 5 9 5 1 2
6
3
1
8
7 0 8 4 4 7 0 6
R.I.C. Publications ® www.ricgroup.com.au DEVELOPING ALGEBRAIC THINKING 107
3
4
Alphabet a i
a + b + c + d + e = f + g + c + h + i
algebra X b h
(a + b ) + (d + e) = (f + g) + (h + i)
cd
g
Each time this equation is solved, two different
f e
solutions are created.
ISBN 978-1-74126-088-5
8
2 6 4
01
3
7 9