RIC-0563 Developing algebraic thinking

ALPHABET ALGEBRA
Teachers notes
Alphabet f a g
a + b + c + d + e = f + a + g = h + e + i
algebra I b + c + d + e = f + g a + b + c + d = h + i
b
c
d
e
h i
9 2 4
7
5
0
6 1 8
9 0 5
2
3
8
7 1 6
Alphabet a
a + b + c + d + e = e + f + g = g + h
algebra J b a + b + c + d = f + g e + f = h
c
d
e
h
g
f
9
8 4
1
3
6
2
5
6
8
5
7
4
0
2
1
Alphabet
algebra K
a
b
c
d
e
g
f
h
i
a + b + c + d + e = c + f + g = c + h + i
a + b + d + e = f + g = h + i
Let f + g be even. Divide that sum by 2. Find
two pairs with that new sum. These four digits
are on the vertical line.
7
0
2
3
4
5
9
8
6
3
2
7
0
5
1
9
4
6
Alphabet
algebra l
a
b
c
d
e
f g
h
a + b + c + d + e = e + f + g + h
a + b + c + d = f + g + h
Each time this equation is solved, three
different solutions are created.
0
3
5
7
9 8 6 1
Replacing the 9-tile with 2 or 4 gives a
different solution.
104 DEVELOPING ALGEBRAIC THINKING www.ricgroup.com.au R.I.C. Publications ®
ISBN 978-1-74126-088-5